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The minimization of loss functions is the heart and soul of Machine Learning.
Approximation capabilities of multilayer feedforward networks
Kurt Hornik · 1991
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On the representation of continuous functions of several variables as superpositions of continuous functions of one variable and addition
VM Tikhomirov · 1991
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Well-posed constrained optimization problems in metric spaces
J. P. Revalski and N. V. Zhivkov · 1993
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Auc optimization vs. error rate minimization
Corinna Cortes and Mehryar Mohri · 2004
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An overview of bilevel optimization
Benoît Colson, Patrice Marcotte, and Gilles Savard · 2007
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Ranking measures and loss functions in learning to rank
Wei Chen, Tie yan Liu, Yanyan Lan, Zhi ming Ma, and Hang Li · 2009
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Direct loss minimization for structured prediction
Tamir Hazan, Joseph Keshet, and David A. McAllester · 2010
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Optimizing f-measures: A tale of two approaches
Nan Ye, Kian Ming A. Chai, Wee Sun Lee, and Hai Leong Chieu · 2012
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Consistent binary classification with generalized performance metrics
Oluwasanmi O Koyejo, Nagarajan Natarajan, Pradeep K Ravikumar, and Inderjit S Dhillon · 2014
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Optimal thresholding of classifiers to maximize f1 measure
Zachary C. Lipton, Charles Elkan, and Balakrishnan Naryanaswamy · 2014
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Optimizing f-measures by cost-sensitive classification
Shameem Puthiya Parambath, Nicolas Usunier, and Yves Grandvalet · 2014
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On the consistency of auc pairwise optimization
Wei Gao and Zhi-Hua Zhou · 2015
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Learning submodular losses with the lovasz hinge
Jiaqian Yu and Matthew Blaschko · 2015
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Training deep neural networks via direct loss minimization
Yang Song, Alexander Schwing, Richard, and Raquel Urtasun · 2016
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Learning to optimize
Ke Li and Jitendra Malik · 2017
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Deep sets
Manzil Zaheer, Satwik Kottur, Siamak Ravanbakhsh, Barnabas Poczos, Ruslan R Salakhutdinov, and Alexander J Smola · 2017
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The lovász-softmax loss: A tractable surrogate for the optimization of the intersection-over-union measure in neural networks
Maxim Berman, Amal Rannen Triki, and Matthew B Blaschko · 2018
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Learning to teach
Yang Fan, Fei Tian, Tao Qin, Xiang-Yang Li, and Tie-Yan Liu · 2018
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Bilevel programming for hyperparameter optimization and meta-learning
Luca Franceschi, Paolo Frasconi, Saverio Salzo, Riccardo Grazzi, and Massimiliano Pontil · 2018
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Learning to teach with dynamic loss functions
Lijun Wu, Fei Tian, Yingce Xia, Yang Fan, Tao Qin, Lai Jian-Huang, and Tie-Yan Liu · 2018
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Scalable Learning of Non-Decomposable Objectives
Elad Eban, Mariano Schain, Alan Mackey, Ariel Gordon, Ryan Rifkin, and Gal Elidan · 2017
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Faster online learning of optimal threshold for consistent f-measure optimization
Xiaoxuan Zhang, Mingrui Liu, Xun Zhou, and Tianbao Yang · 2018
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From cost-sensitive to tight f-measure bounds
Kevin Bascol, Rémi Emonet, Elisa Fromont, Amaury Habrard, Guillaume Metzler, and Marc Sebban · 2019
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