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@article{eval34edr,
author = {Hussein Mozannar and others},
journal={Preprint},
title = {The {RealHumanEval}: Evaluating {Large Language Models}’ Abilities to Support Programmers},
year = {2024},
pages={1--34},
note={arXiv:2404.02806 [\href{https://arxiv.org/pdf/2404.02806.pdf}{Link}]},
}
----
@article{24erw2,
author = {Andrei Lopatenko},
journal={Blog post},
title = {Evaluating {LLM}s and {LLM} Systems: Pragmatic approach},
year = {2024},
pages={},
volume = {},
note={[\href{https://github.com/VincentGranville/Large-Language-Models/blob/main/xllm5/LLM-evaluation.pdf}{Link}]},
}
@article{serg24,
author = {Sergey Shchegrikovich},
journal={Blog post},
title = {How do you create your own {LLM} and win {The Open LLM Leaderboard} with one {Yaml} file?},
year = {2024},
pages={},
volume = {},
note={[\href{https://shchegrikovich.substack.com/p/how-do-you-create-your-own-llm-and}{Link}]},
}
@article{eyal20,
author = {Eyal Trabelsi},
journal={Blog post},
title = {Comprehensive Guide To Approximate Nearest Neighbors Algorithms},
year = {2020},
pages={},
volume = {},
note={TowardsDataScience [\href{https://towardsdatascience.com/comprehensive-guide-to-approximate-nearest-neighbors-algorithms-8b94f057d6b6}{Link}]},
}
@article{breze24,
author = {Iulia Brezeanu},
journal={Blog post},
title = {How to Cut {RAG} Costs by $80\%$ Using Prompt Compression},
year = {2024},
pages={},
volume = {},
note={TowardsDataScience [\href{https://towardsdatascience.com/how-to-cut-rag-costs-by-80-using-prompt-compression-877a07c6bedb}{Link}]},
}
@book{vgmloptim,
author = {Vincent Granville},
year = {2024},
title = {Statistical Optimization for AI and Machine Learning},
publisher = {MLTechniques.com},
note={[\href{https://mltechniques.com/shop/}{Link}]},
address = {},
}
@article{vle23,
author = {Johnathan Chiu and Andi Gu and Matt Zhou},
journal={Preprint},
title = {Variable Length Embeddings},
year = {2023},
pages={1--12},
volume = {},
note={arXiv:2305.09967 [\href{https://arxiv.org/abs/2305.09967}{Link}]},
}
@article{charleroi,
author = {Adnan Saher Mohammed and Şahin Emrah Amrahov and Fatih V. Çelebi},
journal={Engineering Science and Technology},
title = {Interpolated binary search: An efficient hybrid search algorithm on ordered datasets},
year = {2021},
pages={1072--1079},
volume = {24},
note={[\href{https://www.sciencedirect.com/science/article/pii/S221509862100046X}{Link}]},
}
@article{primerace4,
author = {Terence Tao},
journal={Tao's blog},
title = {Biases between consecutive primes},
year = {2016},
pages={},
note={[\href{https://terrytao.wordpress.com/2016/03/14/biases-between-consecutive-primes/}{Link}]},
}
@article{primerace3,
author = {Michel Planat and Patrick Solé},
journal={Preprint},
title = {Efficient prime counting and the {Chebyshev} primes},
year = {2011},
pages={1--15},
note={arXiv:1109.6489 [\href{https://arxiv.org/abs/1109.6489}{Link}]},
}
@article{primerace2,
author = {Emil Grosswald},
journal={Transactions of the American Mathematical Society},
title = {Oscillation theorems of arithmetical functions},
year = {1967},
volume = {126},
pages={1--28},
note={[\href{https://www.ams.org/journals/tran/1967-126-01/S0002-9947-1967-0202685-7/}{Link}]},
}
@article{primerace,
author = {Adel Alamadhi and Michel Planat and Patrick Solé},
journal={Preprint},
title = {{Chebyshev}'s bias and generalized {Riemann} hypothesis},
year = {2011},
pages={1--9},
note={arXiv:1112.2398 [\href{https://arxiv.org/abs/1112.2398}{Link}]},
}
------------------
@article{boundrun7,
author = {M.S. Schmookler and K.J. Nowka},
journal={Proceedings 15th IEEE Symposium on Computer Arithmetic},
title = {Bounds on runs of zeros and ones for algebraic functions},
year = {2001},
pages={7--12},
note={ARITH-15 [\href{https://www.researchgate.net/publication/3900729_Bounds_on_runs_of_zeros_and_ones_for_algebraic_functions}{Link}]},
}
@article{rizlr4e,
author = {Zsolt Karacsony and Jozsefne Libor},
journal={Teaching Mathematics and Computer Science},
title = {Longest runs in coin tossing. Teaching recursive formulae, asymptotic theorems and computer simulations},
year = {2011},
volume = {9},
pages={261--274},
note={[\href{https://tmcs.math.unideb.hu/load_doc.php?p=218&t=doc}{Link}]},
}
@article{aslr4e,
author = {Antónia Földes},
journal={Periodica Mathematica Hungarica},
title = {The limit distribution of the length of the longest head-run},
year = {1979},
volume = {10},
pages={301--310},
note={[\href{https://link.springer.com/article/10.1007/BF02020027}{Link}]},
}
@article{aslimoi,
author = {Tamas Mori},
journal={Canadian Journal of Mathematics},
title = {The a.s. limit distribution of the longest head run},
year = {1993},
volume = {45},
pages={1245--1262},
note={[\href{https://www.cambridge.org/core/services/aop-cambridge-core/content/view/ACAA6340438BA33FE1C864691C731747/S0008414X00017338a.pdf/as_limit_distribution_of_the_longest_head_run.pdf}{Link}]},
}
@article{k1594djj,
author = {Louis Gordon and Mark F. Schilling and Michael S. Waterman},
journal={Probability Theory and Related Fields},
title = {An extreme value theory for long head runs},
year = {1986},
volume = {72},
pages={279--287},
note={[\href{https://link.springer.com/article/10.1007/BF00699107}{Link}]},
}
@article{g1594d3wes,
author = {K. Binswanger and P. Embrechts},
journal={Insurance: Mathematics and Economics},
title = {Longest runs in coin tossing},
year = {1994},
volume = {15},
pages={139--149},
note={[\href{https://www.sciencedirect.com/science/article/abs/pii/0167668794907900}{Link}]},
}
---
@article{runs45,
author = {Mark Shilling},
journal={The College Mathematics Journal},
title = {The Longest Run of Heads},
year = {2018},
volume = {21},
pages={196--207},
note={[\href{https://maa.org/sites/default/files/pdf/upload_library/22/Polya/07468342.di020742.02p0021g.pdf}{Link}]},
}
@article{renini53,
author = {A Rény},
journal={Acta Mathematica Academiae Scientiarum Hungaricae},
title = {On the theory of order statistics},
year = {1953},
volume = {4},
pages={191--231},
}
@article{b18psy,
author = {Anthony J Bishara and Jiexiang Li and Thomas Nash},
journal={British Journal of Mathematical and Statistical Psychology},
title = {Asymptotic confidence intervals for the {Pearson} correlation via skewness and kurtosis},
year = {2018},
pages={165--185},
note={[\href{https://cpb-us-w2.wpmucdn.com/blogs.cofc.edu/dist/7/881/files/2021/06/Bishara-Li-Nash-2018.pdf}{Link}]},
}
@article{vcxoi54,
author = {Tengyuan Liang},
journal={Preprint},
title = {Estimating Certain Integral Probability Metric ({IPM}) is as Hard as Estimating under the {IPM}},
year = {2019},
pages={1--15},
note={arXiv:1911.00730 [\href{https://arxiv.org/abs/1911.00730}{Link}]},
}
@article{euclidf12,
author = {Bharath Sriperumbudur and others},
journal={Electronic Journal of Statistics},
title = {On the empirical estimation of integral probability metrics},
year = {2012},
pages={1550--1599},
note={[\href{https://projecteuclid.org/journals/electronic-journal-of-statistics/volume-6/issue-none/On-the-empirical-estimation-of-integral-probability-metrics/10.1214/12-EJS722.full}{Link}]},
}
@article{crame17,
author = {Marc G. Bellemare and others},
journal={Preprint},
title = {The {Cramer} Distance as a Solution to Biased {Wasserstein} Gradients},
year = {2017},
pages={1--20},
note={arXiv:1705.10743 [\href{https://arxiv.org/abs/1705.10743}{Link}]},
}
---
@article{pcper43w,
author = {Fabiola Banfi and Greta Cazzaniga and Carlo De Michele},
journal={Stochastic Environmental Research and Risk Assessment},
title = {Nonparametric extrapolation of extreme quantiles: a comparison study},
year = {2022},
volume = {36},
pages={1579--1596},
note={[\href{https://link.springer.com/article/10.1007/s00477-021-02102-0}{Link}]},
}
@article{impugain,
author = {Jinsung Yoon and others},
journal={Preprint},
title = {{GAIN}: Missing Data Imputation using Generative Adversarial Nets},
year = {2018},
pages={1--10},
note={arXiv:1806.02920 [\href{https://arxiv.org/abs/1806.02920}{Link}]},
}
@article{nathieeewgan,
author = {Jogendra Nath Kundu and others},
journal={IEEE/CVF International Conference on Computer Vision},
title = {{GAN-Tree}: An Incrementally Learned Hierarchical Generative Framework for Multi-Modal Data Distributions},
year = {2019},
pages={8190--8199},
note={arXiv:1908.03919 [\href{https://arxiv.org/abs/1908.03919}{Link}]},
}
@article{Weifuge,
author = {Wei Chen and Mark Fuge},
journal={Journal of Mechanical Design},
title = {Synthesizing Designs With Interpart Dependencies Using Hierarchical Generative Adversarial Networks},
year = {2019},
volume = {141},
pages={1--11},
note={[\href{https://www.researchgate.net/publication/328704146_Synthesizing_Designs_With_Inter-Part_Dependencies_Using_Hierarchical_Generative_Adversarial_Networks}{Link}]},
}
@article{failedgan,
author = {Vincent Granville},
journal={Preprint},
year = {2023},
title = {How to Fix a Failing Generative Adversarial Network},
pages={1--10},
note={MLTechniques.com [\href{https://mltechniques.com/2023/08/12/generative-ai-how-to-fix-a-failing-gan-synthesizer/}{Link}]},
publisher={}
}
@article{vgnogan,
author = {Vincent Granville},
journal={Preprint},
year = {2023},
title = {Generative {AI} Technology Break-through: Spectacular Performance of New Synthesizer},
pages={1--16},
note={MLTechniques.com [\href{https://mltechniques.com/2023/08/02/generative-ai-technology-break-through-spectacular-performance-of-new-synthesizer/}{Link}]},
publisher={}
}
@article{putrider22,
author = {Nicolas Langrené and Xavier Warin},
journal={Computational Statistics \& Data Analysis},
title = {Fast multivariate empirical cumulative distribution function with connection to kernel density estimation},
year = {2021},
volume = {162},
pages={1--16},
note={[\href{https://doi.org/10.1016/j.csda.2021.107267}{Link}]},
}
@article{gtepouc21,
author = {Michael Naaman},
journal={Statistics \& Probability Letters},
title = {On the tight constant in the multivariate {Dvoretzky–Kiefer–Wolfowitz} inequality},
year = {2021},
volume = {173},
pages={1--8},
note={[\href{https://doi.org/10.1016/j.spl.2021.109088}{Link}]},
}
------------------------------------
@article{caglar22,
author = {Caglar Aytekin},
journal={Preprint},
title = {Neural Networks are Decision Trees},
year = {2022},
volume = {},
pages={1--8},
note={arXiv:2210.05189 [\href{https://arxiv.org/pdf/2210.05189.pdf}{Link}]},
}
@article{gancat18,
author = {Ramiro Camino and Christian Hammerschmidt and Radu State},
journal={Preprint},
title = {Generating Multi-Categorical Samples with Generative Adversarial Networks},
year = {2018},
volume = {},
pages={1--7},
note={arXiv:1807.01202 [\href{https://arxiv.org/abs/1807.01202}{Link}]},
}
@article{ieeeaccess22,
author = {Fida Dankar and others},
journal={IEEE Access},
title = {A Multi-Dimensional Evaluation of Synthetic Data Generators},
year = {2022},
pages={11147--11158},
note={[\href{https://ieeexplore.ieee.org/document/9686689}{Link}]},
}
@article{ieeewgan,
author = {Chang Su and Linglin Wei and Xianzhong Xie},
journal={IEEE International Conference on High Performance Computing, Data, and Analytics},
title = {Churn Prediction in Telecommunications Industry Based on Conditional {Wasserstein} {GAN}},
year = {2022},
pages={186--191},
note={ IEEE HiPC 2022 [\href{https://www.computer.org/csdl/proceedings-article/hipc/2022/942300a186/1MEXgsyxJC0}{Link}]},
}
---
@book{copul22eg,
title={Vine Copula Based Synthetic Data Generation for Classification},
author={Elisabeth Griesbauer},
year={2022},
edition = {},
publisher={},
note={Master Thesis, Technical University of Munich [\href{https://mediatum.ub.tum.de/doc/1687062/document.pdf}{Link}]}
}
---------------------------
@article{vgvendors,
author = {Vincent Granville},
journal={Preprint},
year = {2023},
title = {Generative {AI}: Synthetic Data Vendor Comparison and Benchmarking Best Practices},
pages={1--13},
note={MLTechniques.com [\href{https://mltechniques.com/2023/06/16/generative-ai-synthetic-data-vendor-comparison-and-benchmarking-best-practices/}{Link}]},
publisher={}
}
@article{vgthin,
author = {Vincent Granville},
journal={Preprint},
year = {2023},
title = {Massively Speed-Up your Learning Algorithm, with Stochastic Thinning},
pages={1--13},
note={MLTechniques.com [\href{https://mltechniques.com/2023/04/07/massively-speed-up-your-learning-algorithm-with-stochastic-thinning/}{Link}]},
publisher={}
}
@article{vgfclust,
author = {Vincent Granville},
journal={Preprint},
year = {2023},
title = {Feature Clustering: A Simple Solution to Many Machine Learning Problems},
pages={1--6},
note={MLTechniques.com [\href{https://mltechniques.com/2023/03/12/feature-clustering-a-simple-solution-to-many-machine-learning-problems/}{Link}]},
publisher={}
}
@article{vgsmart,
author = {Vincent Granville},
journal={Preprint},
year = {2023},
title = {Smart Grid Search for Faster Hyperparameter Tuning},
pages={1--8},
note={MLTechniques.com [\href{https://mltechniques.com/2023/03/30/smart-grid-search-case-study-with-hybrid-zeta-geometric-distributions-and-synthetic-data/}{Link}]},
publisher={}
}
@article{ieeedistil,
author = {Ruonan Yu and Songhua Liu and Xinchao Wang},
journal={Preprint},
title = {Dataset Distillation: A Comprehensive Review},
year = {2022},
pages={1--23},
note={Submitted to IEEE PAMI [\href{https://arxiv.org/pdf/2301.07014.pdf}{Link}]},
}
@article{faithful23,
author = {Ahmed Alaa and others},
journal={Proceedings of the 39 th International Conference on Machine Learning},
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------------
@book{vgelsevier,
title={Synthetic Data and Generative AI},
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note={[\href{https://mltechniques.com/product/ebook-synthetic-data/}{Link}]}
}
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address = {},
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address = {},
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publisher={}
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publisher={}
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title={Intuitive Machine Learning and Explaible AI},
author={Vincent Granville},
year={2022},
edition = {},
publisher={MLTechniques.com},
note={To be published in October 2022 [\href{https://mltechniques.com/shop/}{Link}]},
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