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This contribution develops a theoretical framework that takes into account the effect of approximate optimization on learning algorithms. The analysis shows distinct tradeoffs for the case of small-scale and large-scale learning problems. Small-scale learning problems are subject to the usual approximation--estimation tradeoff. Large-scale learning problems are subject to a qualitatively different tradeoff involving the computational complexity of the underlying optimization algorithms in non-trivial ways.
Author Information
Leon Bottou (Facebook AI Research)
Léon Bottou received a Diplôme from l'Ecole Polytechnique, Paris in 1987, a Magistère en Mathématiques Fondamentales et Appliquées et Informatiques from Ecole Normale Supérieure, Paris in 1988, and a PhD in Computer Science from Université de Paris-Sud in 1991. He joined AT&T Bell Labs from 1991 to 1992 and AT&T Labs from 1995 to 2002. Between 1992 and 1995 he was chairman of Neuristique in Paris, a small company pioneering machine learning for data mining applications. He has been with NEC Labs America in Princeton since 2002. Léon's primary research interest is machine learning. His contributions to this field address theory, algorithms and large scale applications. Léon's secondary research interest is data compression and coding. His best known contribution in this field is the DjVu document compression technology (http://www.djvu.org.) Léon published over 70 papers and is serving on the boards of JMLR and IEEE TPAMI. He also serves on the scientific advisory board of Kxen Inc .
Olivier Bousquet (Google Brain (Zurich))
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2021 : On the Relation between Distributionally Robust Optimization and Data Curation »
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2022 Poster: The Effects of Regularization and Data Augmentation are Class Dependent »
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2020 Memorial: In Memory of Olivier Chapelle »
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2020 Poster: Synthetic Data Generators -- Sequential and Private »
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2020 Poster: What Do Neural Networks Learn When Trained With Random Labels? »
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2020 Spotlight: What Do Neural Networks Learn When Trained With Random Labels? »
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2019 Poster: Cold Case: The Lost MNIST Digits »
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2019 Spotlight: Cold Case: The Lost MNIST Digits »
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2019 Poster: Practical and Consistent Estimation of f-Divergences »
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2018 Workshop: Causal Learning »
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2018 Workshop: Smooth Games Optimization and Machine Learning »
Simon Lacoste-Julien · Ioannis Mitliagkas · Gauthier Gidel · Vasilis Syrgkanis · Eva Tardos · Leon Bottou · Sebastian Nowozin -
2018 Poster: Assessing Generative Models via Precision and Recall »
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2018 Poster: SING: Symbol-to-Instrument Neural Generator »
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2018 Poster: Are GANs Created Equal? A Large-Scale Study »
Mario Lucic · Karol Kurach · Marcin Michalski · Sylvain Gelly · Olivier Bousquet -
2017 : Geometrical Insights for Unsupervised Learning »
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2017 Workshop: Optimal Transport and Machine Learning »
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2017 : Looking for a Missing Signal »
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2017 Poster: Approximation and Convergence Properties of Generative Adversarial Learning »
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2017 Spotlight: Approximation and Convergence Properties of Generative Adversarial Learning »
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2017 Poster: AdaGAN: Boosting Generative Models »
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2016 : Welcome »
David Lopez-Paz · Alec Radford · Leon Bottou -
2016 Workshop: Adversarial Training »
David Lopez-Paz · Leon Bottou · Alec Radford -
2015 Workshop: Optimization for Machine Learning (OPT2015) »
Suvrit Sra · Alekh Agarwal · Leon Bottou · Sashank J. Reddi -
2014 Workshop: Learning Semantics »
Cedric Archambeau · Antoine Bordes · Leon Bottou · Chris J Burges · David Grangier -
2014 Workshop: Deep Learning and Representation Learning »
Andrew Y Ng · Yoshua Bengio · Adam Coates · Roland Memisevic · Sharanyan Chetlur · Geoffrey E Hinton · Shamim Nemati · Bryan Catanzaro · Surya Ganguli · Herbert Jaeger · Phil Blunsom · Leon Bottou · Volodymyr Mnih · Chen-Yu Lee · Rich M Schwartz -
2013 Workshop: NIPS 2013 Workshop on Causality: Large-scale Experiment Design and Inference of Causal Mechanisms »
Isabelle Guyon · Leon Bottou · Bernhard Schölkopf · Alexander Statnikov · Evelyne Viegas · james m robins -
2011 Workshop: Learning Semantics »
Antoine Bordes · Jason E Weston · Ronan Collobert · Leon Bottou -
2007 Tutorial: Learning Using Many Examples »
Leon Bottou · Andrew W Moore