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Related papers: Binary Excess Risk for Smooth Convex Surrogates

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It is widely conjectured that the reason that training algorithms for neural networks are successful because all local minima lead to similar performance, for example, see (LeCun et al., 2015, Choromanska et al., 2015, Dauphin et al.,…

Machine Learning · Computer Science 2018-03-06 Shiyu Liang , Ruoyu Sun , Yixuan Li , R. Srikant

The recent success of neural networks in pattern recognition and classification problems suggests that neural networks possess qualities distinct from other more classical classifiers such as SVMs or boosting classifiers. This paper studies…

Machine Learning · Statistics 2023-09-27 Hyunouk Ko , Namjoon Suh , Xiaoming Huo

In performative prediction, predictions guide decision-making and hence can influence the distribution of future data. To date, work on performative prediction has focused on finding performatively stable models, which are the fixed points…

Machine Learning · Computer Science 2021-06-17 John Miller , Juan C. Perdomo , Tijana Zrnic

Many real-world decision-making processes rely on solving mixed-integer nonlinear programming (MINLP) problems. However, finding high-quality solutions to MINLPs is often computationally demanding. This has motivated the development of…

Optimization and Control · Mathematics 2025-10-17 Marina Cuesta , Claudia D'Ambrosio , María Durban , Vanesa Guerrero , Renan Spencer Trindade

We study convex empirical risk minimization for high-dimensional inference in binary models. Our first result sharply predicts the statistical performance of such estimators in the linear asymptotic regime under isotropic Gaussian features.…

Statistics Theory · Mathematics 2020-02-27 Hossein Taheri , Ramtin Pedarsani , Christos Thrampoulidis

We examine a new form of smooth approximation to the zero one loss in which learning is performed using a reformulation of the widely used logistic function. Our approach is based on using the posterior mean of a novel generalized…

Computer Vision and Pattern Recognition · Computer Science 2015-11-19 Md Kamrul Hasan , Christopher J. Pal

This work considers the problem of binary classification: given training data $x_1, \dots, x_n$ from a certain population, together with associated labels $y_1,\dots, y_n \in \left\{0,1 \right\}$, determine the best label for an element $x$…

Statistics Theory · Mathematics 2016-07-04 Nicolas Garcia Trillos , Ryan Murray

The Consistency property between surrogate losses and evaluation metrics has been extensively studied to ensure that minimizing a loss leads to metric optimality. However, the direct relationship between different evaluation metrics remains…

Machine Learning · Computer Science 2026-03-10 Yuanhao Pu , Defu Lian , Enhong Chen

A surrogate function is often employed to reduce the number of objective function evaluations for optimization. However, the effect of using a surrogate model in evolutionary approaches has not been theoretically investigated. This paper…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Youhei Akimoto

This work is in the context of blackbox optimization where the functions defining the problem are expensive to evaluate and where no derivatives are available. A tried and tested technique is to build surrogates of the objective and the…

Optimization and Control · Mathematics 2022-08-18 Charles Audet , Sébastien Le Digabel , Renaud Saltet

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

Machine Learning · Computer Science 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang

The minimization of loss functions is the heart and soul of Machine Learning. In this paper, we propose an off-the-shelf optimization approach that can minimize virtually any non-differentiable and non-decomposable loss function (e.g.…

Machine Learning · Computer Science 2019-05-27 Josif Grabocka , Randolf Scholz , Lars Schmidt-Thieme

The problem of learning to defer with multiple experts consists of optimally assigning input instances to experts, balancing the trade-off between their accuracy and computational cost. This is a critical challenge in natural language…

Machine Learning · Computer Science 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

To attain the best learning accuracy, people move on with difficulties and frustrations. Though one can optimize the empirical objective using a given set of samples, its generalization ability to the entire sample distribution remains…

Machine Learning · Computer Science 2010-12-21 Zeyuan Allen Zhu

Synthetic oversampling of minority examples using SMOTE and its variants is a leading strategy for addressing imbalanced classification problems. Despite the success of this approach in practice, its theoretical foundations remain…

Machine Learning · Statistics 2025-10-24 Touqeer Ahmad , Mohammadreza M. Kalan , François Portier , Gilles Stupfler

In this work, we propose a computationally efficient algorithm for the problem of global optimization in univariate loss functions. For the performance evaluation, we study the cumulative regret of the algorithm instead of the simple regret…

Machine Learning · Computer Science 2022-01-19 Kaan Gokcesu , Hakan Gokcesu

We establish upper bounds for the expected excess risk of models trained by proper iterative algorithms which approximate the local minima. Unlike the results built upon the strong globally strongly convexity or global growth conditions…

Machine Learning · Computer Science 2022-10-11 Mingyang Yi , Ruoyu Wang , Zhi-Ming Ma

In this work we consider the learning setting where, in addition to the training set, the learner receives a collection of auxiliary hypotheses originating from other tasks. We focus on a broad class of ERM-based linear algorithms that can…

Machine Learning · Computer Science 2016-10-19 Ilja Kuzborskij , Francesco Orabona

Probabilistic values, including Shapley values and semivalues, provide a model-agnostic framework to attribute the behavior of a black-box model to data points or features, with a wide range of applications including explainable artificial…

Artificial Intelligence · Computer Science 2026-05-05 Ziqi Liu , Kiljae Lee , Yuan Zhang , Weijing Tang

We consider the problem of supervised learning with convex loss functions and propose a new form of iterative regularization based on the subgradient method. Unlike other regularization approaches, in iterative regularization no constraint…

Machine Learning · Statistics 2015-04-02 Junhong Lin , Lorenzo Rosasco , Ding-Xuan Zhou
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