references.bib (78366B)
1 @Book{abrahms2020, 2 title = "{TeX} for the impatient", 3 author = "Paul W. Abrahams and Karl Berry and Kathyrn A. Hargreaves and Karl Berry", 4 publisher = "Addison Wesley", 5 year = "2020", 6 month = jan, 7 URL = "https://ctan.org/pkg/impatient", 8 } 9 10 @Book{eijkhout2007, 11 title = "{TeX} by topic, A {TeXnician's} reference", 12 author = "Victor Eijkhout", 13 publisher = "Addison Wesley", 14 year = "2007", 15 month = nov, 16 URL = "https://ctan.org/pkg/texbytopic", 17 } 18 19 @Book{knuth2021, 20 title = "The {TeXbook}", 21 author = "Donald E. Knuth", 22 publisher = "Addison Wesley", 23 ISBN = "0-201-13447-0,0-201-13448-9,0-13-749417-3", 24 year = "2021", 25 } 26 27 @Online{walsh2002, 28 title = "Making {TeX} Work", 29 author = "Norman Walsh", 30 ISBN = "1-56592-051-1", 31 year = "2002", 32 month = aug, 33 URL = "http://makingtexwork.sourceforge.net/mtw/", 34 } 35 36 @Online{trautmann2016, 37 title = "An overview of {TeX}, its children and their friends", 38 author = "Arno Trautmann", 39 year = "2016", 40 month = may, 41 URL = "https://ctan.org/tex-archive/info/tex-overview/", 42 } 43 44 @Article{olsak2022, 45 title = "{TeX} in a Nutshell", 46 author = "Petr Olsak", 47 year = "2022", 48 month = may, 49 URL = "https://ctan.org/pkg/tex-nutshell", 50 } 51 52 @Manual{tennent2021, 53 title = "Basic Usage of tlmgr, the {TeX} Live Manager", 54 author = "Bob Tennent", 55 month = sep, 56 year = "2021", 57 URL = "https://ctan.org/pkg/tlmgrbasics", 58 } 59 60 @Book{lidar2013, 61 title = "Quantum Error Correction", 62 author = "Daniel A. Lidar and Todd A. Brun", 63 publisher = "Cambridge University Press", 64 ISBN = "0-521-89787-4", 65 year = "2013", 66 month = sep, 67 DOI = "https://doi.org/10.1017/CBO9781139034807", 68 } 69 70 @Book{nielsen2011, 71 title = "Quantum Computation and Quantum Information: 10th Anniversary Edition", 72 author = "Michael A. Nielsen and Issac L. Chuang", 73 publisher = "Cambridge University Press", 74 ISBN = "1-107-00217-6", 75 year = "2011", 76 DOI = "https://doi.org/10.1017/CBO9780511976667", 77 } 78 79 @Book{scherer2019, 80 title = "Mathematics of Quantum Computing: an Introduction", 81 author = "Wolfgang Scherer", 82 publisher = "Springer", 83 ISBN = "1-271-27128-1,3-030-12358-8", 84 year = "2019", 85 DOI = "https://doi.org/10.1007/978-3-030-12358-1", 86 } 87 88 @Book{gaitan2008, 89 title = "Quantum Error Correction and Fault Tolerant Quantum Computing", 90 author = "Frank Gaitan", 91 publisher = "CRC Press", 92 ISBN = "0-8493-7199-6", 93 year = "2008", 94 DOI = "https://doi.org/10.1201/b15868", 95 } 96 97 @Article{gottesman1998, 98 title = "Theory of fault-tolerant quantum computation", 99 author = "Daniel Gottesman", 100 ISSN = "1050-2947,1094-1622", 101 issue = "1", 102 journal = "Physical Review A", 103 pages = "127--137", 104 publisher = "The American Physical Society", 105 volume = "57", 106 year = "1998", 107 DOI = "http://doi.org/10.1103/PhysRevA.57.127", 108 } 109 110 @Proceedings{gottesman2009, 111 title = "An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation", 112 author = "Daniel Gottessman", 113 URL = "https://arxiv.org/abs/0904.2557", 114 year = "2009", 115 } 116 117 @Article{vuillot2019, 118 title = "Quantum error correction with the toric Gottesman-Kitaev-Preskill code", 119 author = "Christophe Vuillot and Hamed Asasi and Yang Wang and Leonid P. Pryadko and Barbara M. Terhal", 120 publisher = "The American Physical Society", 121 journal = "Physical Review A", 122 ISSN = "1050-2947,1094-1622", 123 year = "2019", 124 volume = "99", 125 issue = "3", 126 pages = "032344", 127 DOI = "https://doi.org/10.1103/PhysRevA.99.032344", 128 } 129 130 @Article{landahl2011, 131 title = "Fault-tolerant quantum computing with color codes", 132 author = "Andrew J. Landahl and Jonas T. Anderson and Patrick R. Rice", 133 URL = "https://arxiv.org/abs/1108.5738", 134 } 135 136 @Article{ellis1995, 137 title = "Stress-Strain Modeling of Sands Using Artificial Neural Networks", 138 author = "G. W. Ellis and C. Yao and R. Zhao and D. Penumadu", 139 ISSN = "0733-9410,1944-8368", 140 issue = "5", 141 journal = "Journal of Geotechnical Engineering", 142 pages = "429--435", 143 publisher = "American Society of Civil Engineers", 144 volume = "121", 145 year = "1995", 146 } 147 148 @Book{yu2006, 149 title = "Plasticity and Geotechnics", 150 author = "Hai-Sui Yu", 151 publisher = "Springer", 152 ISBN = "0-387-33597-8", 153 year = "2006", 154 series = "Advances in Mechanics and Mathematics", 155 DOI = "https://doi.org/10.1007/978-0-387-33599-5", 156 } 157 158 @Book{chen1985, 159 title = "Soil Plasticity: Theory and Implementation", 160 author = "W. F. Chen and G. Y. Baladi", 161 publisher = "Academic Press, Elsevier", 162 ISBN = "0-444-42455-5", 163 year = "1985", 164 series = "Developments in Geotechnical Engineering 38", 165 URL = "https://www.elsevier.com/books/soil-plasticity/chen/978-0-444-42455-6", 166 } 167 168 @Book{han2013, 169 title = "Plasticity: Mathematical Theory and Numerical Analysis", 170 author = "Weimin Han and B. Daya Reddy", 171 publisher = "Springer-Verlag New York", 172 ISBN = "0-387-98704-5", 173 year = "2013", 174 series = "Interdisciplinary Applied Mathematics 9", 175 edition = "2", 176 DOI = "https://doi.org/10.1007/978-1-4614-5940-8", 177 } 178 179 @Book{hill1998, 180 title = "The mathematical theory of plasticity", 181 author = "Rodney Hill", 182 publisher = "Clarendon Press; Oxford University Press", 183 ISBN = "0-19-850367-9", 184 year = "1998", 185 series = "Oxford engineering science series Oxford classic texts in the physical sciences 11", 186 URL = "https://www.amazon.com/dp/0198503679", 187 } 188 189 @Book{souza2008, 190 title = "Computational Methods for Plasticity: Theory and Applications", 191 author = "E. A. de Souza Neto and D. Perić and D. R. J. Owen", 192 publisher = "Wiley", 193 ISBN = "0-470-69452-1", 194 year = "2008", 195 DOI = "https://doi.org/10.1002/9780470694626", 196 } 197 198 @Book{sander2021, 199 title = "{DUNE} ― The Distributed and Unified Numerics Environment", 200 author = "Oliver Sander", 201 publisher = "Springer", 202 ISBN = "3-030-59701-6", 203 year = "2021", 204 series = "Lecture Notes in Computational Science and Engineering, 140", 205 DOI = "https://doi.org/10.1007/978-3-030-59702-3", 206 } 207 208 @Book{cormen2022, 209 title = "Introduction to Algorithms", 210 author = "Thomas H. Cormen and Charles E. Leirserson and Ronald L. Rivest and Clifford Stein", 211 publisher = "The MIT Press", 212 ISBN = "0-262-04630-X", 213 year = "2022", 214 edition = "4", 215 URL = "https://mitpress.mit.edu/books/introduction-algorithms-fourth-edition", 216 } 217 218 @Book{patrick2021, 219 title = "Knee Ability Zero", 220 author = "Ben Patrick", 221 publisher = "Onyx publications LLc", 222 year = "2021", 223 URL = "https://www.amazon.com/dp/B09KNGDYGL", 224 } 225 226 @Manual{kluge2017, 227 title = "Timewarrior cheatsheet", 228 author = "Michael Kluge", 229 year = "2017", 230 URL = "https://github.com/mkluge/timewcs", 231 } 232 233 @Manual{emmet, 234 title = "Emmet cheatsheet", 235 author = "emmet", 236 URL = "https://docs.emmet.io/cheat-sheet/", 237 } 238 239 @Online{babb2015, 240 title = "How a kalman filter works, in pictures", 241 URL = "http://www.bzarg.com/p/how-a-kalman-filter-works-in-pictures/", 242 author = "Tim Babb", 243 } 244 245 @InCollection{harish2007, 246 title = "Accelerating Large Graph Algorithms on the {GPU} Using {CUDA}", 247 author = "Pawan Harish and P. J. Narayanan", 248 publisher = "Springer Berlin Heidelberg", 249 booktitle = "High Performance Computing {\textendash} {HiPC} 2007", 250 pages = "197--208", 251 DOI = "https://doi.org/10.1007/978-3-540-77220-0_21", 252 } 253 254 @Book{friel2006, 255 title = "Total heart rate training: customize and maximize your workout using a heart rate monitor", 256 author = "Joe Friel", 257 publisher = "Ulysses Press", 258 ISBN = "1-56975-562-0", 259 year = "2006", 260 URL = "https://www.amazon.com/dp/1569755620", 261 } 262 263 @InProceedings{harish2007, 264 author = "Pawan Harish and P. J. Narayanan", 265 editor = "Srinivas Aluru and Manish Parashar and Ramamurthy Badrinath and Viktor K. Prasanna", 266 title = "Accelerating Large Graph Algorithms on the {GPU} Using {CUDA}", 267 booktitle = "High Performance Computing -- {HiPC 2007}", 268 year = "2007", 269 publisher = "Springer Berlin Heidelberg", 270 address = "Berlin, Heidelberg", 271 pages = "197--208", 272 abstract = "Large graphs involving millions of vertices are common in many practical applications and are challenging to process. Practical-time implementations using high-end computers are reported but are accessible only to a few. Graphics Processing Units (GPUs) of today have high computation power and low price. They have a restrictive programming model and are tricky to use. The G80 line of Nvidia GPUs can be treated as a SIMD processor array using the CUDA programming model. We present a few fundamental algorithms -- including breadth first search, single source shortest path, and all-pairs shortest path -- using CUDA on large graphs. We can compute the single source shortest path on a 10 million vertex graph in 1.5 seconds using the Nvidia 8800GTX GPU costing {\$}600. In some cases optimal sequential algorithm is not the fastest on the GPU architecture. GPUs have great potential as high-performance co-processors.", 273 %ISBN = "97-83540-772-2", 274 } 275 276 @InProceedings{martin2009, 277 author = "Pedro J. Mart{\'i}n and Roberto Torres and Antonio Gavilanes", 278 editor = "Gabrielle Allen and Jaroslaw Nabrzyski and Edward Seidel and Geert Dick van Albada and Jack Dongarra and Peter M. A. Sloot", 279 title = "{CUDA} Solutions for the {SSSP} Problem", 280 booktitle = "Computational Science -- {ICCS 2009}", 281 year = "2009", 282 publisher = "Springer Berlin Heidelberg", 283 address = "Berlin, Heidelberg", 284 pages = "904--913", 285 abstract = "We present several algorithms that solve the single-source shortest-path problem using CUDA. We have run them on a database, composed of hundreds of large graphs represented by adjacency lists and adjacency matrices, achieving high speedups regarding a CPU implementation based on Fibonacci heaps. Concerning correctness, we outline why our solutions work, and show that a previous approach [10] is incorrect.", 286 %ISBN="978-3-642-01970-8" 287 } 288 289 @Book{sutton2018, 290 title = "Reinforcement Learning: An Introduction, 2nd Edition", 291 author = "Andrew G Barto Richard S. Sutton", 292 publisher = "Bradford Books", 293 year = "2018", 294 edition = "2", 295 URL = "https://mitpress.mit.edu/9780262039246/reinforcement-learning/", 296 } 297 298 @Article{sims2017, 299 author = "Louie Sims", 300 year = "2017", 301 month = "09", 302 title = "Speed Development - A Critical Review", 303 URL = "https://www.researchgate.net/publication/320107786", 304 } 305 306 @Article{mitradjieva2013, 307 DOI = "https://doi.org/10.1287/trsc.1120.0409", 308 title = "The Stiff Is Moving -- Conjugate Direction Frank-Wolfe Methods with Applications to Traffic Assignment", 309 author = "Maria Mitradjieva and Per Olov Lindberg", 310 publisher = "INFORMS", 311 journal = "Transportation Science", 312 ISSN = "0041-1655,1526-5447", 313 year = "2013", 314 volume = "47", 315 issue = "2", 316 pages = "280--293", 317 URL = "https://pubsonline.informs.org/doi/abs/10.1287/trsc.1120.0409", 318 } 319 320 @Article{qiang2008, 321 DOI = "https://doi.org/10.1007/s11590-007-0049-2", 322 title = "A unified network performance measure with importance identification and the ranking of network components", 323 author = "Qiang Qiang; Anna Nagurney", 324 publisher = "Springer-Verlag", 325 journal = "Optimization Letters", 326 ISSN = "1862-4472,1862-4480", 327 year = "2008", 328 volume = "2", 329 issue = "1", 330 pages = "127--142", 331 URL = "https://link.springer.com/article/10.1007/s11590-007-0049-2", 332 } 333 334 @Article{nagurney2008, 335 DOI = "https://doi.org/10.1007/s10898-007-9198-1", 336 title = "A network efficiency measure with application to critical infrastructure networks", 337 author = "Anna Nagurney; Qiang Qiang", 338 publisher = "Springer US", 339 journal = "Journal of Global Optimization", 340 ISSN = "0925-5001,1573-2916", 341 year = "2008", 342 volume = "40", 343 issue = "1-3", 344 pages = "261--275", 345 URL = "https://link.springer.com/article/10.1007/s10898-007-9198-1", 346 } 347 348 @Article{nagurney2007, 349 DOI = "https://doi.org/10.1209/0295-5075/79/38005", 350 URL = "https://iopscience.iop.org/article/10.1209/0295-5075/79/38005/meta", 351 year = "2007", 352 month = jul, 353 publisher = "", 354 volume = "79", 355 number = "3", 356 pages = "38005", 357 author = "Anna Nagurney and Qiang Qiang", 358 title = "A network efficiency measure for congested networks", 359 journal = "Europhysics Letters", 360 abstract = "In this paper, we propose a network efficiency measure for congested networks, that captures demands, costs, flows, and behavior. The network efficiency/performance measure can identify which network components, that is, nodes and links, have the greatest impact in terms of their removal, due to, for example, natural disasters, structural failures, terrorist attacks, etc., and, hence, are important from both vulnerability as well as security standpoints. The new measure is applied to the Braess paradox network in which the demands are varied over the horizon and explicit formulae are derived for the importance values of the network nodes and links. This measure is applicable to such congested networks as urban transportation networks and the Internet.", 361 } 362 363 @Article{xie2018, 364 DOI = "https://doi.org/10.1177/0361198118774236", 365 title = "A Greedy Path-Based Algorithm for Traffic Assignment", 366 author = "Xie, Jun; Nie, Yu (Marco); Liu, Xiaobo", 367 publisher = "Transportation Research Board", 368 journal = "Transportation Research Record Journal of the Transportation Research Board", 369 ISSN = "0361-1981", 370 year = "2018", 371 pages = "036119811877423", 372 URL = "https://journals.sagepub.com/doi/abs/10.1177/0361198118774236", 373 } 374 375 @Article{chen2020, 376 DOI = "https://doi.org/10.1016/j.trc.2020.102809", 377 title = "A parallel computing approach to solve traffic assignment using path-based gradient projection algorithm", 378 author = "Zewen {Chen, Xinyuan; Liu, Zhiyuan; Zhang, Kai; Wang}", 379 publisher = "Elsevier Science", 380 journal = "Transportation Research Part C: Emerging Technologies", 381 ISSN = "0968-090X", 382 year = "2020", 383 volume = "120", 384 pages = "102809", 385 URL = "https://www.sciencedirect.com/science/article/abs/pii/S0968090X20307166", 386 } 387 388 @Article{fredman1987, 389 DOI = "https://doi.org/10.1145/28869.28874", 390 title = "Fibonacci heaps and their uses in improved network optimization algorithms", 391 author = "Robert Endre {Fredman, Michael L.; Tarjan}", 392 publisher = "Association for Computing Machinery", 393 journal = "Journal of the ACM", 394 ISSN = "0004-5411", 395 year = "1987", 396 volume = "34", 397 issue = "3", 398 pages = "596--615", 399 URL = "https://dl.acm.org/doi/10.1145/28869.28874", 400 } 401 402 @Article{cherkassky2009, 403 DOI = "https://doi.org/10.1145/1498698.1537602", 404 title = "Shortest-path feasibility algorithms", 405 author = "Renato F. {Cherkassky, Boris V.; Georgiadis, Loukas; Goldberg, Andrew V.; Tarjan, Robert E.; Werneck}", 406 publisher = "Association for Computing Machinery", 407 journal = "Journal of Experimental Algorithmics", 408 ISSN = "1084-6654", 409 year = "2009", 410 volume = "14", 411 pages = "2.7", 412 URL = "https://dl.acm.org/doi/10.1145/1498698.1537602", 413 } 414 415 @InBook{goldberg2006, 416 author = "Andrew V. Goldberg and Haim Kaplan and Renato F. Werneck", 417 title = "Reach for {A*}: Efficient Point-to-Point Shortest Path Algorithms", 418 booktitle = "2006 Proceedings of the Workshop on Algorithm Engineering and Experiments {(ALENEX)}", 419 chapter = "", 420 pages = "129--143", 421 DOI = "https://doi.org/10.1137/1.9781611972863.13", 422 year = "2009", 423 URL = "https://epubs.siam.org/doi/abs/10.1137/1.9781611972863.13", 424 eprint = "https://epubs.siam.org/doi/pdf/10.1137/1.9781611972863.13", 425 abstract = "Abstract We study the point-to-point shortest path problem in a setting where preprocessing is allowed. We improve the reach-based approach of Gutman [17] in several ways. In particular, we introduce a bidirectional version of the algorithm that uses implicit lower bounds and we add shortcut arcs to reduce vertex reaches. Our modifications greatly improve both preprocessing and query times. The resulting algorithm is as fast as the best previous method, due to Sanders and Schultes [28]. However, our algorithm is simpler and combines in a natural way with A* search, which yields significantly better query times.", 426 } 427 428 @Article{delling2013, 429 DOI = "https://doi.org/10.1016/j.jpdc.2012.02.007", 430 title = "{PHAST}: Hardware-accelerated shortest path trees", 431 author = "Daniel Delling and Andrew V. Goldberg and Andreas Nowatzyk and Renato F. Werneck", 432 publisher = "Elsevier Science", 433 journal = "Journal of Parallel and Distributed Computing", 434 ISSN = "0743-7315,1096-0848", 435 year = "2013", 436 volume = "73", 437 issue = "7", 438 pages = "940--952", 439 URL = "https://www.sciencedirect.com/science/article/abs/pii/S074373151200041X", 440 abstract = "We present a novel algorithm to solve the non-negative single-source shortest path problem on road networks and graphs with low highway dimension. After a quick preprocessing phase, we can compute all distances from a given source in the graph with essentially a linear sweep over all vertices. Because this sweep is independent of the source, we are able to reorder vertices in advance to exploit locality. Moreover, our algorithm takes advantage of features of modern CPU architectures, such as SSE and multiple cores. Compared to Dijkstra’s algorithm, our method needs fewer operations, has better locality, and is better able to exploit parallelism at multi-core and instruction levels. We gain additional speedup when implementing our algorithm on a GPU, where it is up to three orders of magnitude faster than Dijkstra’s algorithm on a high-end CPU. This makes applications based on all-pairs shortest-paths practical for continental-sized road networks. Several algorithms, such as computing the graph diameter, arc flags, or exact reaches, can be greatly accelerated by our method.", 441 } 442 443 @Article{delling2011, 444 DOI = "https://doi.org/10.1524/itit.2011.0656", 445 title = "Shortest Paths in Road Networks: From Practice to Theory and Back", 446 author = "Daniel Delling and Andrew V. Goldberg and Renato F. Werneck", 447 publisher = "Oldenbourg Wissenschaftsverlag", 448 journal = "it - Information Technology", 449 ISSN = "1611-2776,2196-7032", 450 year = "2011", 451 volume = "53", 452 issue = "6", 453 pages = "294--301", 454 URL = "https://www.degruyter.com/document/doi/10.1524/itit.2011.0656/html", 455 } 456 457 @Article{helbing1991, 458 DOI = "https://doi.org/10.1002/bs.3830360405", 459 URL = "https://onlinelibrary.wiley.com/doi/10.1002/bs.3830360405", 460 year = "1991", 461 month = oct, 462 publisher = "Wiley", 463 volume = "36", 464 number = "4", 465 pages = "298--310", 466 author = "Dirk Helbing", 467 title = "A mathematical model for the behavior of pedestrians", 468 journal = "Behavioral Science", 469 } 470 471 @Article{helbing1998, 472 DOI = "https://doi.org/10.48550/arXiv.cond-mat/9805213", 473 URL = "https://arxiv.org/abs/cond-mat/9805213", 474 author = "Dirk Helbing", 475 title = "A Fluid Dynamic Model for the Movement of Pedestrians", 476 publisher = "arXiv", 477 year = "1998", 478 } 479 480 @Book{sheffi1985, 481 title = "Urban Transportation Networks: Equilibrium Analysis With Mathematical Programming Methods", 482 author = "Yosef Sheffi", 483 publisher = "Prentice Hall", 484 ISBN = "0-13-939729-9", 485 year = "1985", 486 URL = "https://sheffi.mit.edu/book/urban-transportation-networks", 487 } 488 489 @Book{patriksson1994, 490 title = "The Traffic Assignment Problem - Models and Methods", 491 author = "M. Patriksson", 492 publisher = "V.S.P. Intl Science", 493 ISBN = "90-6764-181-2", 494 year = "1994", 495 series = "Topics in Transportation Series", 496 URL = "https://www.amazon.com/dp/0486787907", 497 } 498 499 @Book{krylatov2020, 500 title = "Optimization Models and Methods for Equilibrium Traffic Assignment", 501 author = "Tero Tuovinen {Alexander Krylatov, Victor Zakharov}", 502 publisher = "Springer International Publishing", 503 year = "2020", 504 series = "Springer Tracts on Transportation and Traffic 15", 505 edition = "1st ed. 2020", 506 URL = "https://link.springer.com/book/10.1007/978-3-030-34102-2", 507 %ISBN = "978-3-030-34101-5,978-3-030-34102-2", 508 } 509 510 @Article{carvalho2021, 511 title = "Integrating Production Planning with Truck-Dispatching Decisions through Reinforcement Learning While Managing Uncertainty", 512 author = "Joao Pedro {de Carvalho} and Roussos Dimitrakopoulos", 513 DOI = "https://doi.org/10.3390/min11060587", 514 year = "2021", 515 URL = "https://www.mdpi.com/2075-163X/11/6/587", 516 year = "2021", 517 month = may, 518 publisher = "{MDPI} {AG}", 519 volume = "11", 520 number = "6", 521 pages = "587", 522 journal = "Minerals", 523 } 524 525 @Book{grimmett1999, 526 title = "Percolation", 527 author = "Geoffrey Grimmett", 528 publisher = "Springer-Verlag Berlin Heidelberg", 529 %ISBN = "9783-540-6490-2-1,3-540-64902-6", 530 year = "1999", 531 series = "Grundlehren der mathematischen Wissenschaften 321", 532 edition = "2", 533 URL = "https://link.springer.com/book/10.1007/978-3-662-03981-6", 534 DOI = "https://doi.org/10.1007/978-3-662-03981-6", 535 } 536 537 @Article{mnih2015, 538 title = "Human-level control through deep reinforcement learning", 539 author = "Volodymyr Mnih and Koray Kavukcuoglu and David Silver and Andrei A. Rusu and Joel Veness and Marc G. Bellemare and Alex Graves and Martin Riedmiller and Andreas K. Fidjeland and Georg Ostrovski and Stig Petersen and Charles Beattie and Amir Sadik and Ioannis Antonoglou and Helen King and Dharshan Kumaran and Daan Wierstra and Shane Legg and Demis Hassabis", 540 publisher = "Nature Publishing Group", 541 journal = "Nature", 542 ISSN = "0028-0836,1476-4679", 543 year = "2015", 544 volume = "518", 545 issue = "7540", 546 pages = "529--533", 547 DOI = "https://doi.org/10.1038/nature14236", 548 URL = "https://www.nature.com/articles/nature14236", 549 } 550 551 @Article{mnih2013, 552 title = "Playing Atari with Deep Reinforcement Learning", 553 author = "Martin Riedmiller {Vlad Mnih, Koray Kavukcuoglu, David Silver, Alexander Graves, Ioannis Antonoglou, Daan Wierstra}", 554 publisher = "DeepMind", 555 journal = "DeepMind", 556 year = "2013", 557 URL = "https://www.deepmind.com/publications/playing-atari-with-deep-reinforcement-learning", 558 } 559 560 @Book{goodfellow2016, 561 title = "Deep Learning", 562 author = "Ian Goodfellow and Yoshua Bengio and Aaron Courville", 563 publisher = "MIT Press", 564 URL = "http://www.deeplearningbook.org", 565 year = "2016", 566 } 567 568 @Book{halmos1974, 569 title = "Measure Theory", 570 author = "Paul R. Halmos", 571 publisher = "Springer", 572 year = "1974", 573 series = "Graduate Texts in Mathematics, 18", 574 URL = "https://link.springer.com/book/10.1007/978-1-4684-9440-2", 575 DOI = "https://doi.org/10.1007/978-1-4684-9440-2", 576 } 577 578 @Book{velenik2017, 579 place = "Cambridge", 580 title = "Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction", 581 ISBN = "1-107-18482-7", 582 publisher = "Cambridge University Press", 583 author = "Sacha Friedli and Yvan Velenik", 584 year = "2017", 585 DOI = "https://doi.org/10.1017/9781316882603", 586 %ISBN={978-1-107-18482-4}, 587 } 588 589 @Book{schroeder2021, 590 title = "An Introduction to Thermal Physics", 591 year = "2021", 592 DOI = "https://doi.org/10.1093/oso/9780192895547.001.0001", 593 title = "An Introduction to Thermal Physics", 594 author = "Daniel V. Schroeder", 595 publisher = "OUP Oxford", 596 ISBN = "0-19-289554-0", 597 %isbn = {9780192895547}, 598 %isbn = {9780201380279}, 599 } 600 601 @Book{fernandez2002, 602 title = "Medida e Integração, 2a Edição", 603 author = "Pedro J. Fernandez", 604 publisher = "IMPA", 605 year = "2002", 606 URL = "https://impa.br/page-livros/medida-e-integracao/", 607 } 608 609 @Book{folland1999, 610 title = "Real analysis: modern techniques and their applications", 611 author = "Gerald B. Folland", 612 publisher = "Wiley", 613 ISBN = "0-471-31716-0", 614 year = "1999", 615 series = "PAM", 616 edition = "2", 617 URL = "https://www.wiley.com/en-us/Real+Analysis%3A+Modern+Techniques+and+Their+Applications%2C+2nd+Edition-p-9780471317166", 618 %isbn = {9780471317166}, 619 } 620 621 @Book{royden2010, 622 title = "Real Analysis", 623 author = "Patrick Fitzpatrick Halsey Royden", 624 publisher = "Prentice Hall", 625 ISBN = "0-13-143747-X", 626 year = "2010", 627 edition = "4", 628 URL = "https://www.amazon.com/dp/013143747X", 629 %isbn = {9780131437470}, 630 } 631 632 @Book{athreya2006, 633 title = "Measure theory and probability theory", 634 author = "Krishna B. Athreya and Soumendra N. Lahiri", 635 publisher = "Springer", 636 year = "2006", 637 series = "Springer texts in statistics", 638 DOI = "https://doi.org/10.1007/978-0-387-35434-7", 639 URL = "https://link.springer.com/book/10.1007/978-0-387-35434-7", 640 } 641 642 @Book{simon2015_1, 643 title = "Real Analysis: A Comprehensive Course in Analysis, Part 1", 644 author = "Barry Simon", 645 publisher = "American Mathematical Society", 646 year = "2015", 647 URL = "https://bookstore.ams.org/view?ProductCode=SIMON/1", 648 } 649 650 @Book{rudin1987, 651 title = "Real and complex analysis", 652 author = "Walter Rudin", 653 year = "1986", 654 ISBN = "0-07-054234-1", 655 isbn13 = "9780070542341", 656 edition = "3", 657 URL = "https://www.mheducation.com/highered/product/M9780070542341.html", 658 } 659 660 @Book{maclane1971, 661 title = "Categories for the working mathematician", 662 author = "Saunders Mac Lane", 663 publisher = "Springer", 664 ISBN = "0-387-90035-7", 665 year = "1971", 666 URL = "https://www.amazon.com/dp/1441931236", 667 } 668 669 @Book{stoer2002, 670 title = "Introduction to Numerical Analysis", 671 %ISBN = "9781-475-7559-2-3", 672 DOI = "http://doi.org/10.1007/978-1-4757-5592-3", 673 publisher = "Springer New York", 674 author = "J. Stoer and R. Bulirsch", 675 year = "2002", 676 } 677 678 @Book{kincaid2002, 679 title = "Numerical Analysis - Mathematics of Scientific Computing", 680 author = "David Kincaid and Ward Cheney", 681 year = "2002", 682 } 683 684 @Book{golub2013, 685 title = "Matrix Computations", 686 DOI = "http://doi.org/10.56021/9781421407944", 687 publisher = "Johns Hopkins University Press", 688 author = "Gene Golub", 689 year = "2013", 690 } 691 692 @Book{bausum2002, 693 title = "{TeX} Reference Manual", 694 author = "David Bausum", 695 publisher = "Springer US", 696 %isbn = {978-0-7923-7673-6,978-1-4615-0941-7}, 697 year = "2002", 698 edition = "1", 699 DOI = "http://dx.doi.org/10.1007/978-1-4615-0941-7", 700 } 701 702 @Book{hogan2016, 703 title = "tmux 2: Productive Mouse-Free Development", 704 author = "Brian P. Hogan", 705 publisher = "Pragmatic Bookshelf", 706 %isbn = {9781680502213}, 707 year = "2016", 708 edition = "1", 709 URL = "https://pragprog.com/titles/bhtmux2/tmux-2/", 710 } 711 712 @Book{james2023, 713 author = "Gareth James and Daniela Witten and Trevor Hastie and Rob Tibshirani", 714 title = "An Introduction to Statistical Learning with Applications in Python", 715 publisher = "Springer", 716 edition = "2", 717 year = "2023", 718 URL = "https://www.statlearning.com/", 719 } 720 721 @Book{hastie2017, 722 author = "Trevor Hastie and Robert Tibshirani and Jerome Friedman", 723 title = "The Element of Statistical Learning", 724 publisher = "Springer", 725 year = "2017", 726 URL = "https://hastie.su.domains/ElemStatLearn/", 727 } 728 729 @Book{murphy2022, 730 author = "Kevin P. Murphy", 731 title = "Probabilistic Machine Learning: An introduction", 732 publisher = "MIT Press", 733 year = "2022", 734 URL = "https://probml.ai", 735 } 736 737 @InProceedings{xiong2016, 738 author = "Shuo Xiong and Liang Yang and Nor Azan Mat Zin and Hiroyuki Iida", 739 booktitle = "2016 3rd International Conference on Systems and Informatics {(ICSAI)}", 740 title = "Mathematical model of ranking accuracy and popularity promotion", 741 year = "2016", 742 volume = "", 743 number = "", 744 pages = "350--357", 745 keywords = "Games;Mathematical model;Art;Probability;Electronic mail;Information science;Organizations;FIFA ranking system;Betting Odds;Elo rating system;UEFA Euro 2016", 746 DOI = "http://dx.doi.org/10.1109/ICSAI.2016.7810980", 747 } 748 749 @Book{maloney2017, 750 title = "Low Level {X} Window Programming An Introduction by Examples", 751 author = "Ross J. Maloney", 752 publisher = "Springer", 753 %isbn = {9783319742496}, 754 year = "2017", 755 series = "", 756 edition = "", 757 volume = "", 758 URL = "http://gen.lib.rus.ec/book/index.php?md5=b8445f1da5846e29593233ceeb083004", 759 } 760 761 @Book{garcia2014, 762 title = "Elementos de {\'a}lgebra", 763 author = "A. Garcia and Y. Lequain", 764 %isbn={9788524401909}, 765 series = "Projeto Euclides", 766 year = "2012", 767 publisher = "Instituto de Matem{\'a}tica Pura e Aplicada", 768 } 769 770 @Book{autodif2021, 771 title = "Autodif", 772 author = "David Fournier", 773 year = "2021", 774 URL = "https://github.com/admb-project/admb/releases/download/admb-12.3/autodif-12.3.pdf", 775 } 776 777 @Book{admb2021, 778 title = "{AD} Model Builder", 779 author = "David Fournier", 780 year = "2021", 781 URL = "https://github.com/admb-project/admb/releases/download/admb-12.3/admb-12.3.pdf", 782 } 783 784 @Book{hirsch1976, 785 title = "Differential Topology", 786 URL = "https://link.springer.com/book/10.1007/978-1-4684-9449-5", 787 DOI = "http://doi.org/10.1007/978-1-4684-9449-5", 788 journal = "Graduate Texts in Mathematics", 789 publisher = "Springer New York", 790 author = "Morris W. Hirsch", 791 year = "1976", 792 } 793 794 @Book{guillemin2010, 795 title = "Differential Topology", 796 DOI = "http://doi.org/10.1090/chel/370", 797 URL = "https://www.amazon.com/dp/0821851934", 798 publisher = "American Mathematical Society", 799 author = "Victor Guillemin and Alan Pollack", 800 year = "2010", 801 month = aug, 802 } 803 804 @Book{golubitsky1973, 805 title = "Stable Mappings and Their Singularities", 806 author = "Martin Golubitsky, Victor Guillemin (auth.)", 807 publisher = "Springer", 808 year = "1973", 809 series = "Graduate Texts in Mathematics №14", 810 edition = "1", 811 URL = "https://link.springer.com/book/10.1007/978-1-4615-7904-5", 812 DOI = "https://doi.org/10.1007/978-1-4615-7904-5", 813 } 814 815 @Book{lages2009_1, 816 title = "Análise Real (vol. 1) (Livro fino) 1", 817 author = "Elon Lages Lima", 818 publisher = "IMPA", 819 year = "2009", 820 series = "Análise Real 1", 821 edition = "10th Edition", 822 } 823 824 @Book{lages2009_2, 825 title = "Análise Real (vol. 2) (livro fino) 2", 826 author = "Elon Lages Lima", 827 publisher = "IMPA", 828 year = "2009", 829 series = "Análise Real 2", 830 edition = "Paperback", 831 } 832 833 @Book{lages2008_3, 834 title = "Análise Real (vol. 3) (livro fino) 3", 835 author = "Elon Lages Lima", 836 publisher = "IMPA", 837 year = "2008", 838 series = "Análise Real 3", 839 edition = "2nd Edition", 840 } 841 842 @Book{lages2014_2, 843 title = "Curso de Análise Vol. 2", 844 author = "Elon Lages Lima", 845 publisher = "IMPA", 846 year = "2014", 847 series = "Projeto Euclides", 848 } 849 850 @Book{lages2014_1, 851 title = "Curso de Análise Vol. 1", 852 author = "Elon Lages Lima", 853 publisher = "IMPA", 854 year = "2014", 855 series = "Projeto Euclides", 856 } 857 858 @Book{alt2016, 859 title = "Linear Functional Analysis", 860 ISSN = "2191-6675", 861 DOI = "https://doi.org/10.1007/978-1-4471-7280-2", 862 journal = "Universitext", 863 publisher = "Springer London", 864 author = "Hans Wilhelm Alt", 865 year = "2016", 866 } 867 868 @Book{rynne2008, 869 title = "Linear functional analysis", 870 DOI = "http://doi.org/10.1007/978-1-84800-005-6", 871 URL = "https://link.springer.com/book/10.1007/978-1-84800-005-6", 872 author = "Bryan P. Rynne and Martin A. Youngson", 873 year = "2008", 874 } 875 876 @Book{tu2011, 877 title = "An introduction to manifolds", 878 author = "Loring Tu", 879 publisher = "Springer", 880 URL = "https://link.springer.com/book/10.1007/978-1-4419-7400-6", 881 DOI = "http://doi.org/10.1007/978-1-4419-7400-6", 882 year = "2011", 883 } 884 885 @Book{lee2009, 886 title = "Manifolds and Differential Geometry", 887 author = "Jeffrey M. Lee", 888 publisher = "American Mathematical Society", 889 year = "2009", 890 series = "Graduate Studies in Mathematics", 891 URL = "https://bookstore.ams.org/gsm-107", 892 } 893 894 @Book{lamport1994, 895 title = "{LaTeX}: a document-preparation system", 896 author = "Leslie Lamport", 897 publisher = "Addison-Wesley Professional", 898 year = "1994", 899 edition = "2", 900 URL = "https://www.amazon.com/dp/0201529831", 901 } 902 903 @Book{lee2011, 904 title = "Introduction to Topological Manifolds", 905 author = "John M. Lee", 906 publisher = "Springer", 907 year = "2011", 908 series = "Graduate Texts in Mathematics 202", 909 edition = "2", 910 } 911 912 @Book{lee2012, 913 title = "Introduction to Smooth Manifolds", 914 author = "John M. Lee", 915 publisher = "Springer", 916 year = "2012", 917 series = "Graduate Texts in Mathematics 218", 918 edition = "2", 919 } 920 921 @Book{spivak1999, 922 title = "A Comprehensive Introduction to Differential Geometry", 923 author = "Michael Spivak", 924 publisher = "Publish or Perish", 925 year = "1999", 926 edition = "3", 927 volume = "1", 928 } 929 930 @Book{vershynin2018, 931 title = "High-Dimensional Probability: An Introduction with Applications in Data Science", 932 author = "Roman Vershynin", 933 publisher = "Publish or Perish", 934 year = "2018", 935 edition = "1", 936 URL = "https://www.cambridge.org/gb/universitypress/subjects/statistics-probability/probability-theory-and-stochastic-processes/high-dimensional-probability-introduction-applications-data-science", 937 } 938 939 @Book{lages2014al, 940 title = "Algebra Linear", 941 author = "Elon Lages Lima", 942 publisher = "IMPA", 943 year = "2014", 944 } 945 946 @Book{rudin1991, 947 title = "Functional Analysis", 948 author = "Walter Rudin", 949 publisher = "McGraw-Hill", 950 year = "1991", 951 edition = "2", 952 } 953 954 @Book{reed1981, 955 title = "Methods of mathematical physics: Functional analysis", 956 author = "Michael Reed and Barry Simon", 957 publisher = "Academic Press", 958 year = "1981", 959 volume = "Vol 1.", 960 } 961 962 @Book{yosida1995, 963 title = "Functional analysis", 964 author = "Kosaku Yosida", 965 publisher = "Springer-Verlag", 966 year = "1995", 967 series = "Springer Classics in Mathematics", 968 edition = "6th", 969 } 970 971 @Book{brezis2010, 972 title = "Functional analysis, Sobolev spaces and partial differential equations", 973 author = "Haim Brezis", 974 publisher = "Springer-Verlag New York", 975 year = "2010", 976 series = "Universitext", 977 edition = "1", 978 } 979 980 @Book{krishnapur2021, 981 title = "Gaussian processes", 982 author = "Manjuanath Krishnapur", 983 year = "2021", 984 URL = "https://math.iisc.ac.in/~manju/GP20/GP20.pdf", 985 } 986 987 @Book{lax2002, 988 title = "Functional analysis", 989 author = "Peter David Lax", 990 publisher = "Wiley-Interscience", 991 year = "2002", 992 series = "Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts", 993 URL = "https://www.wiley.com/en-us/Functional+Analysis-p-9781118626740", 994 } 995 996 @Book{zeidler1995109, 997 title = "Applied Functional Analysis: Main Principles and Their Applications", 998 author = "Eberhard Zeidler", 999 publisher = "Springer-Verlag New York", 1000 year = "1995", 1001 series = "Applied Mathematical Sciences 109", 1002 edition = "1", 1003 URL = "https://link.springer.com/book/10.1007/978-1-4612-0821-1", 1004 } 1005 1006 @Book{bachman1966, 1007 title = "Functional analysis", 1008 author = "George Bachman and Lawrence Narici", 1009 publisher = "Academic Press", 1010 year = "1966", 1011 URL = "https://store.doverpublications.com/products/9780486402512?srsltid=AfmBOopjeb-Vcx1NglR8LwIw5QyCsRzZVevqxCiPztRUqcj1CZXTWhwD", 1012 } 1013 1014 @Book{eidelman2004, 1015 title = "Functional analysis", 1016 author = "Yuli Eidelman and Vitali Milman and Antonis Tsolomitis", 1017 publisher = "AMS", 1018 year = "2004", 1019 series = "Graduate Studies in Mathematics 066", 1020 URL = "https://bookstore.ams.org/view?ProductCode=GSM/66", 1021 } 1022 1023 @Book{maccluer2009, 1024 title = "Elementary functional analysis", 1025 author = "Barbara MacCluer", 1026 publisher = "Springer-Verlag New York", 1027 year = "2009", 1028 series = "Graduate Texts in Mathematics 253", 1029 edition = "1", 1030 URL = "https://link.springer.com/book/10.1007/978-0-387-85529-5", 1031 } 1032 1033 @Book{zeidler1995108, 1034 title = "Applied functional analysis: applications to mathematical physics", 1035 author = "Eberhard Zeidler", 1036 publisher = "Springer", 1037 year = "1995", 1038 series = "Applied Mathematical Sciences 108", 1039 URL = "https://link.springer.com/book/10.1007/978-1-4612-0815-0", 1040 } 1041 1042 @Book{bartle2011ira, 1043 title = "Introduction to Real Analysis", 1044 author = "Donald R. Sherbert Robert G. Bartle", 1045 publisher = "Wiley", 1046 year = "2011", 1047 edition = "4", 1048 URL = "https://www.wiley.com/en-us/Introduction+to+Real+Analysis%2C+4th+Edition-p-9781119496786", 1049 } 1050 1051 @Book{bartle2001, 1052 title = "A modern theory of integration", 1053 author = "Robert Gardner Bartle", 1054 publisher = "American Mathematical Society", 1055 year = "2001", 1056 series = "Graduate studies in mathematics 32", 1057 URL = "https://bookstore.ams.org/gsm-32", 1058 } 1059 1060 @Book{bartle2011eilm, 1061 title = "The Elements of Integration and Lebesgue Measure", 1062 author = "Robert Gardner Bartle", 1063 publisher = "John Wiley \& Sons", 1064 year = "2011", 1065 URL = "https://www.wiley.com/en-us/The+Elements+of+Integration+and+Lebesgue+Measure-p-9781118626122", 1066 } 1067 1068 @Book{conway2007, 1069 title = "A Course in Functional Analysis", 1070 author = "John Bligh Conway", 1071 publisher = "Springer New York, NY", 1072 year = "2007", 1073 edition = "2", 1074 URL = "https://link.springer.com/book/10.1007/978-1-4757-4383-8", 1075 } 1076 1077 @Book{taylor1980, 1078 title = "Introduction to functional analysis", 1079 author = "Angus Ellis Taylor and David C. Lay", 1080 publisher = "Krieger Publishing Company", 1081 year = "1980", 1082 edition = "2nd ed., reprint ed", 1083 URL = "https://www.amazon.com/dp/0898749514", 1084 } 1085 1086 @Book{oliveira2014, 1087 title = "Introdução à análise funcional", 1088 author = "César Oliveira", 1089 publisher = "IMPA", 1090 year = "2014", 1091 series = "Projeto Euclides", 1092 edition = "1", 1093 URL = "https://impa.br/page-livros/introducao-a-analise-funcional/", 1094 } 1095 1096 @Book{dunford19881, 1097 title = "Linear Operators, Part I: General Theory", 1098 author = "Jacob Theodore Schwartz Nelson James Dunford", 1099 publisher = "Wiley - Interscience Publishers", 1100 year = "1988", 1101 volume = "Part 1", 1102 URL = "https://www.wiley.com/en-us/Linear+Operators%2C+Part+1%3A+General+Theory-p-9780471608486", 1103 } 1104 1105 @Book{dunford19882, 1106 title = "Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert Space", 1107 author = "Robert Gardner Bartle {Nelson James Dunford, Jacob Theodore Schwartz, William G. Bade}", 1108 publisher = "Wiley - Interscience Publishers", 1109 year = "1988", 1110 volume = "Part 2", 1111 URL = "https://www.wiley.com/en-us/Linear+Operators%2C+Part+2%3A+Spectral+Theory%2C+Self+Adjoint+Operators+in+Hilbert+Space-p-9780471608479", 1112 } 1113 1114 @Book{dunford19883, 1115 title = "Linear operators", 1116 author = "Robert Gardner Bartle {Nelson James Dunford, Jacob Theodore Schwartz, William G. Bade}", 1117 publisher = "Wiley - Interscience Publishers", 1118 year = "1988", 1119 volume = "Part 3", 1120 URL = "https://www.wiley.com/en-us/Linear+Operators%2C+Part+3%3A+Spectral+Operators-p-9780471608462", 1121 } 1122 1123 @Book{bourbaki1953, 1124 title = "Topological vector spaces", 1125 author = "Nicolas Bourbaki", 1126 publisher = "Springer", 1127 year = "1953", 1128 series = "Elements of Mathematics", 1129 volume = "Chapter 1-5", 1130 URL = "https://link.springer.com/book/10.1007/978-3-642-61715-7", 1131 } 1132 1133 @Article{talagrand1996, 1134 ISSN = "00911798, 2168894X", 1135 URL = "http://www.jstor.org/stable/2244967", 1136 abstract = "Majorizing measures provided bounds for the supremum of stochastic processes. They represent the most general possible form of the chaining argument going back to Kolmogorov. Majorizing measures arose from the theory of Gaussian processes, but they now have applications far beyond the setting. The fundamental question is the construction of these measures. This paper focuses on the tools that have been developed for this purpose and, in particular, the use of geometric ideas. Applications are given to several natural problems where entropy methods are powerless.", 1137 author = "Michel Talagrand", 1138 journal = "The Annals of Probability", 1139 number = "3", 1140 pages = "1049--1103", 1141 publisher = "Institute of Mathematical Statistics", 1142 title = "Majorizing Measures: The Generic Chaining", 1143 urldate = "2025-02-11", 1144 volume = "24", 1145 year = "1996", 1146 } 1147 1148 @Article{talagrand1987, 1149 author = "Michel Talagrand", 1150 journal = "Acta Mathematica", 1151 pages = "1871--2509", 1152 title = "Regularity of gaussian processes", 1153 year = "1987", 1154 DOI = "https://doi.org/10.1007/BF02392556", 1155 } 1156 1157 @Book{talagrand2014, 1158 title = "Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems", 1159 author = "Michel Talagrand", 1160 publisher = "Springer", 1161 year = "2014", 1162 series = "A Series of Modern Surveys in Mathematics", 1163 URL = "https://link.springer.com/book/10.1007/978-3-642-54075-2", 1164 } 1165 1166 @Book{talagrand2021, 1167 title = "Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems", 1168 author = "Michel Talagrand", 1169 publisher = "Springer", 1170 year = "2021", 1171 series = "A Series of Modern Surveys in Mathematics", 1172 edition = "2", 1173 URL = "https://link.springer.com/book/10.1007/978-3-030-82595-9201", 1174 } 1175 1176 @Book{dudley2002, 1177 title = "Real Analysis and Probability", 1178 author = "Richard Mansfield Dudley", 1179 publisher = "Cambridge University Press", 1180 year = "2002", 1181 series = "Cambridge Studies in Advanced Mathematics 74", 1182 edition = "1", 1183 URL = "https://www.cambridge.org/core/books/real-analysis-and-probability/26DDF2D09E526185F2347AA5658B96F6", 1184 } 1185 1186 @Book{boucheron2013, 1187 title = "Concentration inequalities. A nonasymptotic theory of independence", 1188 author = "Pascal {Boucheron, Stéphane; Lugosi, Gábor; Massart}", 1189 publisher = "Oxford University Press", 1190 year = "2013", 1191 URL = "https://academic.oup.com/book/26549", 1192 } 1193 1194 @Book{matousek2002, 1195 title = "Lectures on discrete geometry (some chapters)", 1196 author = "Matousek J.", 1197 year = "2002", 1198 URL = "https://link.springer.com/book/10.1007/978-1-4613-0039-7", 1199 } 1200 1201 @Book{ledoux2001, 1202 title = "The Concentration of Measure Phenomenon", 1203 author = "Michel Ledoux", 1204 publisher = "American Mathematical Society", 1205 year = "2001", 1206 series = "Mathematical Surveys and Monographs 89", 1207 URL = "https://www.ams.org/books/surv/089/", 1208 } 1209 1210 @Book{atkinson2009, 1211 title = "Theoretical Numerical Analysis: A Functional Analysis Framework", 1212 author = "Kendall Atkinson and Weimin Han", 1213 year = "2009", 1214 series = "Texts in Applied Mathematics", 1215 publisher = "Springer", 1216 URL = "https://link.springer.com/book/10.1007/978-1-4419-0458-4", 1217 } 1218 1219 @Book{spivak1990, 1220 title = "The joy of {TEX}: a gourmet guide to typesetting with the {AMS-TEX} macro package", 1221 author = "Michael Spivak", 1222 publisher = "American Mathematical Society", 1223 year = "1990", 1224 edition = "2nd ed", 1225 } 1226 1227 @Book{vanhandel2016, 1228 title = "Probability in High Dimension", 1229 author = "Ramon van Handel", 1230 year = "2016", 1231 } 1232 1233 @Book{wainwright2019, 1234 title = "High-dimensional statistics: a non-asymptotic viewpoint", 1235 author = "Martin J Wainwright", 1236 publisher = "Cambridge University Press", 1237 year = "2019", 1238 series = "Cambridge series on statistical and probabilistic mathematics 48", 1239 URL = "https://www.cambridge.org/core/books/highdimensional-statistics/8A91ECEEC38F46DAB53E9FF8757C7A4E", 1240 } 1241 1242 @Book{munkres2000, 1243 title = "Topology", 1244 author = "James Raymond Munkres", 1245 publisher = "Pearson", 1246 year = "2000", 1247 edition = "2", 1248 URL = "https://www.pearson.com/en-us/subject-catalog/p/topology-classic-version/P200000006299/9780137848669201", 1249 } 1250 1251 @Book{renardy2004, 1252 title = "An Introduction to Partial Differential Equations", 1253 author = "Michael Renardy and Robert C. Rogers", 1254 publisher = "Springer", 1255 year = "2004", 1256 series = "Texts in Applied Mathematics 13", 1257 edition = "2", 1258 URL = "https://link.springer.com/book/10.1007/b97427", 1259 } 1260 1261 @Book{ledoux1991, 1262 title = "Probability in Banach Spaces: Isoperimetry and Processes", 1263 author = "Michel Ledoux and Michel Talagrand", 1264 publisher = "Springer", 1265 year = "1991", 1266 URL = "https://link.springer.com/book/10.1007/978-3-642-20212-4", 1267 } 1268 1269 @Book{whitehead1927_1, 1270 title = "Principia Mathematica Volume 1", 1271 author = "Alfred North Whitehead and Bertrand Russell", 1272 publisher = "Cambridge University Press", 1273 year = "1927", 1274 edition = "2nd", 1275 volume = "1", 1276 } 1277 1278 @Book{whitehead1927_2, 1279 title = "Principia Mathematica Volume 2", 1280 author = "Alfred North Whitehead and Bertrand Russell", 1281 publisher = "Cambridge University Press", 1282 year = "1927", 1283 edition = "2nd", 1284 volume = "2", 1285 } 1286 1287 @Book{whitehead1927_3, 1288 title = "Principia Mathematica Volume 3", 1289 author = "Alfred North Whitehead and Bertrand Russell", 1290 publisher = "Cambridge University Press", 1291 year = "1927", 1292 edition = "2nd", 1293 volume = "3", 1294 } 1295 1296 @Book{apostol1967_1, 1297 title = "Calculus, Volume I: One-Variable Calculus, with an Introduction to Linear Algebra", 1298 author = "Tom M. Apostol", 1299 publisher = "John Wiley \& Sons", 1300 year = "1967", 1301 edition = "2nd", 1302 volume = "1", 1303 } 1304 1305 @Book{apostol1967_2, 1306 title = "Calculus, Volume {II}: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability", 1307 author = "Tom M. Apostol", 1308 publisher = "John Wiley \& Sons", 1309 year = "1967", 1310 edition = "2nd", 1311 volume = "2", 1312 } 1313 1314 @Book{simon2015_2A, 1315 title = "Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A", 1316 author = "Barry Simon", 1317 publisher = "American Mathematical Society", 1318 year = "2015", 1319 URL = "https://bookstore.ams.org/view?ProductCode=SIMON/2.1", 1320 } 1321 1322 @Book{simon2015_2B, 1323 title = "Basic Complex Analysis: A Comprehensive Course in Analysis, Part {2B}", 1324 author = "Barry Simon", 1325 publisher = "American Mathematical Society", 1326 year = "2015", 1327 URL = "https://bookstore.ams.org/view?ProductCode=SIMON/2.2", 1328 } 1329 1330 @Book{simon2015_3, 1331 title = "Harmonic Analysis: A Comprehensive Course in Analysis, Part 3", 1332 author = "Barry Simon", 1333 publisher = "American Mathematical Society", 1334 year = "2015", 1335 URL = "https://bookstore.ams.org/view?ProductCode=SIMON/3", 1336 } 1337 1338 @Book{simon2015_4, 1339 title = "Operator Theory: A Comprehensive Course in Analysis, Part 4", 1340 author = "Barry Simon", 1341 publisher = "American Mathematical Society", 1342 year = "2015", 1343 URL = "https://bookstore.ams.org/view?ProductCode=SIMON/4", 1344 } 1345 1346 @Book{torchinsky2015, 1347 title = "Problems in Real and Functional Analysis", 1348 author = "Alberto Torchinsky", 1349 publisher = "American Mathematical Society", 1350 year = "2015", 1351 URL = "https://bookstore.ams.org/gsm-166", 1352 } 1353 1354 @Book{kirillov1982, 1355 title = "Theorems and Problems in Functional Analysis", 1356 author = "A. 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Barron and Ben Mildenhall", 1778 year = "2022", 1779 eprint = "2209.14988", 1780 archiveprefix = "arXiv", 1781 primaryclass = "cs.CV", 1782 URL = "https://arxiv.org/abs/2209.14988", 1783 } 1784 1785 @Misc{rombach2022, 1786 title = "High-Resolution Image Synthesis with Latent Diffusion Models", 1787 author = "Robin Rombach and Andreas Blattmann and Dominik Lorenz and Patrick Esser and Björn Ommer", 1788 year = "2022", 1789 eprint = "2112.10752", 1790 archiveprefix = "arXiv", 1791 primaryclass = "cs.CV", 1792 URL = "https://arxiv.org/abs/2112.10752", 1793 } 1794 1795 @InProceedings{radford2018, 1796 title = "Improving Language Understanding by Generative Pre-Training", 1797 author = "Alec Radford and Karthik Narasimhan", 1798 year = "2018", 1799 URL = "https://cdn.openai.com/research-covers/language-unsupervised/language_understanding_paper.pdf", 1800 alias = "GPT-1", 1801 } 1802 1803 @InProceedings{radford2019, 1804 title = "Language Models are Unsupervised Multitask Learners", 1805 author = "Alec Radford and Jeff Wu and Rewon Child and David Luan and Dario Amodei and Ilya Sutskever", 1806 year = "2019", 1807 URL = "https://api.semanticscholar.org/CorpusID:160025533", 1808 localrefs = "Radford et al., 2018=radford2018", 1809 alias = "GPT-2", 1810 } 1811 1812 @Article{brown2020, 1813 author = "Tom B. Brown and Benjamin Mann and Nick Ryder and Melanie Subbiah and Jared Kaplan and Prafulla Dhariwal and Arvind Neelakantan and Pranav Shyam and Girish Sastry and Amanda Askell and Sandhini Agarwal and Ariel Herbert{-}Voss and Gretchen Krueger and Tom Henighan and Rewon Child and Aditya Ramesh and Daniel M. Ziegler and Jeffrey Wu and Clemens Winter and Christopher Hesse and Mark Chen and Eric Sigler and Mateusz Litwin and Scott Gray and Benjamin Chess and Jack Clark and Christopher Berner and Sam McCandlish and Alec Radford and Ilya Sutskever and Dario Amodei", 1814 title = "Language Models are Few-Shot Learners", 1815 journal = "CoRR", 1816 volume = "abs/2005.14165", 1817 year = "2020", 1818 URL = "https://arxiv.org/abs/2005.14165", 1819 eprinttype = "arXiv", 1820 eprint = "2005.14165", 1821 timestamp = "Thu, 25 May 2023 10:38:31 +0200", 1822 biburl = "https://dblp.org/rec/journals/corr/abs-2005-14165.bib", 1823 bibsource = "dblp computer science bibliography, https://dblp.org", 1824 localrefs = "RWC+ 19=radford2019", 1825 alias = "GPT-3", 1826 } 1827 1828 @misc{hu2021, 1829 title={LoRA: Low-Rank Adaptation of Large Language Models}, 1830 author={Edward J. Hu and Yelong Shen and Phillip Wallis and Zeyuan Allen-Zhu and Yuanzhi Li and Shean Wang and Lu Wang and Weizhu Chen}, 1831 year={2021}, 1832 eprint={2106.09685}, 1833 archivePrefix={arXiv}, 1834 primaryClass={cs.CL}, 1835 url={https://arxiv.org/abs/2106.09685}, 1836 } 1837 1838 @Misc{mikolov2013, 1839 title = "Efficient Estimation of Word Representations in Vector Space", 1840 author = "Tomas Mikolov and Kai Chen and Greg Corrado and Jeffrey Dean", 1841 year = "2013", 1842 eprint = "1301.3781", 1843 archiveprefix = "arXiv", 1844 primaryclass = "cs.CL", 1845 URL = "https://arxiv.org/abs/1301.3781", 1846 alias = "word2vec", 1847 } 1848 1849 @Misc{su2023, 1850 title = "{RoFormer}: Enhanced Transformer with Rotary Position Embedding", 1851 author = "Jianlin Su and Yu Lu and Shengfeng Pan and Ahmed Murtadha and Bo Wen and Yunfeng Liu", 1852 year = "2023", 1853 eprint = "2104.09864", 1854 archiveprefix = "arXiv", 1855 primaryclass = "cs.CL", 1856 URL = "https://arxiv.org/abs/2104.09864", 1857 alias = "RoPE", 1858 } 1859 1860 @Misc{shazeer2020, 1861 title = "{GLU} Variants Improve Transformer", 1862 author = "Noam Shazeer", 1863 year = "2020", 1864 eprint = "2002.05202", 1865 archiveprefix = "arXiv", 1866 primaryclass = "cs.LG", 1867 URL = "https://arxiv.org/abs/2002.05202", 1868 alias = "GEGLU SwiGLU ReGLU", 1869 } 1870 1871 @Misc{hoffmann2022, 1872 title = "Training Compute-Optimal Large Language Models", 1873 author = "Jordan Hoffmann and Sebastian Borgeaud and Arthur Mensch and Elena Buchatskaya and Trevor Cai and Eliza Rutherford and Diego de Las Casas and Lisa Anne Hendricks and Johannes Welbl and Aidan Clark and Tom Hennigan and Eric Noland and Katie Millican and George van den Driessche and Bogdan Damoc and Aurelia Guy and Simon Osindero and Karen Simonyan and Erich Elsen and Jack W. Rae and Oriol Vinyals and Laurent Sifre", 1874 year = "2022", 1875 eprint = "2203.15556", 1876 archiveprefix = "arXiv", 1877 primaryclass = "cs.CL", 1878 URL = "https://arxiv.org/abs/2203.15556", 1879 alias = "IsoFLOP", 1880 } 1881 1882 @Misc{wei2022_1, 1883 title = "Emergent Abilities of Large Language Models", 1884 author = "Jason Wei and Yi Tay and Rishi Bommasani and Colin Raffel and Barret Zoph and Sebastian Borgeaud and Dani Yogatama and Maarten Bosma and Denny Zhou and Donald Metzler and Ed H. Chi and Tatsunori Hashimoto and Oriol Vinyals and Percy Liang and Jeff Dean and William Fedus", 1885 year = "2022", 1886 eprint = "2206.07682", 1887 archiveprefix = "arXiv", 1888 primaryclass = "cs.CL", 1889 URL = "https://arxiv.org/abs/2206.07682", 1890 } 1891 1892 @Misc{devlin2019, 1893 title = "{BERT}: Pre-training of Deep Bidirectional Transformers for Language Understanding", 1894 author = "Jacob Devlin and Ming-Wei Chang and Kenton Lee and Kristina Toutanova", 1895 year = "2019", 1896 eprint = "1810.04805", 1897 archiveprefix = "arXiv", 1898 primaryclass = "cs.CL", 1899 URL = "https://arxiv.org/abs/1810.04805", 1900 } 1901 1902 @Misc{wei2022_2, 1903 title = "Finetuned Language Models Are Zero-Shot Learners", 1904 author = "Jason Wei and Maarten Bosma and Vincent Y. Zhao and Kelvin Guu and Adams Wei Yu and Brian Lester and Nan Du and Andrew M. Dai and Quoc V. Le", 1905 year = "2022", 1906 eprint = "2109.01652", 1907 archiveprefix = "arXiv", 1908 primaryclass = "cs.CL", 1909 URL = "https://arxiv.org/abs/2109.01652", 1910 alias = "FLAN", 1911 } 1912 1913 @Misc{longpre2023, 1914 title = "The Flan Collection: Designing Data and Methods for Effective Instruction Tuning", 1915 author = "Shayne Longpre and Le Hou and Tu Vu and Albert Webson and Hyung Won Chung and Yi Tay and Denny Zhou and Quoc V. Le and Barret Zoph and Jason Wei and Adam Roberts", 1916 year = "2023", 1917 eprint = "2301.13688", 1918 archiveprefix = "arXiv", 1919 primaryclass = "cs.AI", 1920 URL = "https://arxiv.org/abs/2301.13688", 1921 alias = "FLAN", 1922 } 1923 1924 @Misc{dettmers2023, 1925 title = "{QLoRA}: Efficient Finetuning of Quantized {LLMs}", 1926 author = "Tim Dettmers and Artidoro Pagnoni and Ari Holtzman and Luke Zettlemoyer", 1927 year = "2023", 1928 eprint = "2305.14314", 1929 archiveprefix = "arXiv", 1930 primaryclass = "cs.LG", 1931 URL = "https://arxiv.org/abs/2305.14314", 1932 } 1933 1934 @Book{mccullagh1989, 1935 title = "Generalized linear models", 1936 author = "John A. Nelder P. McCullagh", 1937 publisher = "Chapman and Hall/CRC", 1938 year = "1989", 1939 series = "Chapman \& Hall/CRC Monographs on Statistics \& Applied Probability", 1940 edition = "2", 1941 alias = "GLM", 1942 } 1943 1944 @Book{faraway2016, 1945 title = "Extending the linear model with {R} : generalized linear, mixed effects and nonparametric regression models", 1946 author = "Julian James Faraway", 1947 publisher = "Chapman \& Hall/CRC", 1948 year = "2016", 1949 series = "Chapman \& Hall/CRC texts in statistical science series 124", 1950 edition = "Second edition.", 1951 alias = "GAM,GLM", 1952 } 1953 1954 @Book{faraway2014, 1955 title = "Linear Models with {R}", 1956 author = "Julian J Faraway", 1957 publisher = "Taylor \& Francis", 1958 year = "2014", 1959 series = "Chapman \& Hall/CRC Texts in Statistical Science", 1960 edition = "2", 1961 } 1962 1963 @Book{wood2006, 1964 title = "Generalized additive models : an introduction with {R}", 1965 author = "Simon N. Wood", 1966 publisher = "Chapman \& Hall/CRC", 1967 year = "2006", 1968 series = "Texts in statistical science.", 1969 alias = "GAM", 1970 } 1971 1972 @Book{chambers1992, 1973 title = "Statistical Models in {S}", 1974 author = "Hastie T. Chambers J. M.", 1975 year = "1992", 1976 } 1977 1978 @Book{stevens2013, 1979 title = "Advanced Programming in the {UNIX} Environment, 3rd Edition", 1980 author = "W. Richard {Rago, Stephen A.; Stevens}", 1981 publisher = "Addison-Wesley Professional", 1982 year = "2013", 1983 series = "Addison-Wesley professional computing series", 1984 edition = "3ed.", 1985 URL = "https://www.informit.com/store/advanced-programming-in-the-unix-environment-9780321637734?ranMID=24808", 1986 alias = "APUE", 1987 } 1988 1989 @Misc{sun2026, 1990 title = "{MeshFlow}: Mesh Generation with Equivariant Flow Matching", 1991 author = "Qi Sun and Kiyohiro Nakayama and Jing Nathan Yan and Qixing Huang and Alexander Rush and Leonidas Guibas and Gordon Wetzstein and Jing Liao and Guandao Yang", 1992 year = "2026", 1993 eprint = "2606.23489", 1994 archiveprefix = "arXiv", 1995 primaryclass = "cs.GR", 1996 URL = "https://arxiv.org/abs/2606.23489", 1997 } 1998 1999 @Misc{peebles2023, 2000 title = "Scalable Diffusion Models with Transformers", 2001 author = "William Peebles and Saining Xie", 2002 year = "2023", 2003 eprint = "2212.09748", 2004 archiveprefix = "arXiv", 2005 primaryclass = "cs.CV", 2006 alias = "DiT", 2007 URL = "https://arxiv.org/abs/2212.09748", 2008 } 2009 2010 @Article{zhang1984, 2011 title = "A fast parallel algorithm for thinning digital patterns", 2012 author = "T Y Zhang and Chingyl Yee Suen", 2013 year = "1984", 2014 URL = "https://dl.acm.org/doi/10.1145/357994.358023", 2015 } 2016 2017 @Misc{li2026, 2018 title = "{nD-RoPE}: A Generalized {RoPE} for n-Dimensional Position Embedding", 2019 author = "Boyang Li and Yulin Wu and Sizhe Xu and Nuoxian Huang and Zhonghang Yuan and Shangyi Guo and Shu Yang and Takahiro Yabe", 2020 year = "2026", 2021 eprint = "2606.12146", 2022 archiveprefix = "arXiv", 2023 primaryclass = "cs.LG", 2024 URL = "https://arxiv.org/abs/2606.12146", 2025 } 2026 2027 @Misc{dosovitskiy2021, 2028 title = "An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale", 2029 author = "Alexey Dosovitskiy and Lucas Beyer and Alexander Kolesnikov and Dirk Weissenborn and Xiaohua Zhai and Thomas Unterthiner and Mostafa Dehghani and Matthias Minderer and Georg Heigold and Sylvain Gelly and Jakob Uszkoreit and Neil Houlsby", 2030 year = "2021", 2031 eprint = "2010.11929", 2032 archiveprefix = "arXiv", 2033 primaryclass = "cs.CV", 2034 URL = "https://arxiv.org/abs/2010.11929", 2035 alias = "visual transformer", 2036 } 2037 2038 @Article{yan2024, 2039 author = "Chuan Yan and Yong Li and Deepali Aneja and Matthew Fisher and Edgar Simo-Serra and Yotam Gingold", 2040 title = "Deep Sketch Vectorization via Implicit Surface Extraction", 2041 year = "2024", 2042 issue_date = "July 2024", 2043 publisher = "Association for Computing Machinery", 2044 address = "New York, NY, USA", 2045 volume = "43", 2046 number = "4", 2047 ISSN = "0730-0301", 2048 URL = "https://dl.acm.org/doi/10.1145/3658197", 2049 DOI = "https://doi.org/10.1145/3658197", 2050 journal = "ACM Trans. Graph.", 2051 month = jul, 2052 articleno = "37", 2053 numpages = "13", 2054 keywords = "vectorization, raster, sketch, drawing", 2055 } 2056 2057 @misc{zhang2025, 2058 title={Qwen3 Embedding: Advancing Text Embedding and Reranking Through Foundation Models}, 2059 author={Yanzhao Zhang and Mingxin Li and Dingkun Long and Xin Zhang and Huan Lin and Baosong Yang and Pengjun Xie and An Yang and Dayiheng Liu and Junyang Lin and Fei Huang and Jingren Zhou}, 2060 year={2025}, 2061 eprint={2506.05176}, 2062 archivePrefix={arXiv}, 2063 primaryClass={cs.CL}, 2064 url={https://arxiv.org/abs/2506.05176}, 2065 } 2066 2067 @Misc{zeng2024, 2068 title = "Unsupervised Text Representation Learning via Instruction-Tuning for Zero-Shot Dense Retrieval", 2069 author = "Qiuhai Zeng and Zimeng Qiu and Dae Yon Hwang and Xin He and William M. Campbell", 2070 year = "2024", 2071 eprint = "2409.16497", 2072 archiveprefix = "arXiv", 2073 primaryclass = "cs.AI", 2074 URL = "https://arxiv.org/abs/2409.16497", 2075 }