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When minimizing the empirical risk in binary classification, it is a common practice to replace the zero-one loss with a surrogate loss to make the learning objective feasible to optimize. Examples of well-known surrogate losses for binary…

机器学习 · 统计学 2023-06-07 Nontawat Charoenphakdee , Jongyeong Lee , Masashi Sugiyama

Deep neural networks, despite their high accuracy, often exhibit poor confidence calibration, limiting their reliability in high-stakes applications. Current ad-hoc confidence calibration methods attempt to fix this during training but face…

机器学习 · 计算机科学 2026-04-15 Sandra Gómez-Gálvez , Tobias Olenyi , Gillian Dobbie , Katerina Taškova

Enabling machine learning classifiers to defer their decision to a downstream expert when the expert is more accurate will ensure improved safety and performance. This objective can be achieved with the learning-to-defer framework which…

机器学习 · 计算机科学 2023-11-03 Yuzhou Cao , Hussein Mozannar , Lei Feng , Hongxin Wei , Bo An

Surrogate risk minimization is an ubiquitous paradigm in supervised machine learning, wherein a target problem is solved by minimizing a surrogate loss on a dataset. Surrogate regret bounds, also called excess risk bounds, are a common tool…

机器学习 · 计算机科学 2021-10-28 Rafael Frongillo , Bo Waggoner

Surrogate regret bounds, also known as excess risk bounds, bridge the gap between the convergence rates of surrogate and target losses. The regret transfer is lossless if the surrogate regret bound is linear. While convex smooth surrogate…

机器学习 · 计算机科学 2025-11-27 Yuzhou Cao , Han Bao , Lei Feng , Bo An

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…

机器学习 · 统计学 2015-04-02 Junhong Lin , Lorenzo Rosasco , Ding-Xuan Zhou

The Softmax loss is one of the most widely employed surrogate objectives for classification and ranking tasks. To elucidate its theoretical properties, the Fenchel-Young framework situates it as a canonical instance within a broad family of…

机器学习 · 计算机科学 2026-02-02 Yuanhao Pu , Defu Lian , Enhong Chen

We present surrogate regret bounds for arbitrary surrogate losses in the context of binary classification with label-dependent costs. Such bounds relate a classifier's risk, assessed with respect to a surrogate loss, to its cost-sensitive…

机器学习 · 统计学 2010-09-15 Clayton Scott

We study an off-policy contextual pricing problem where the seller has access to samples of prices that customers were previously offered, whether they purchased at that price, and auxiliary features describing the customer and/or item…

机器学习 · 计算机科学 2023-01-12 Max Biggs

Recent research has introduced a key notion of $H$-consistency bounds for surrogate losses. These bounds offer finite-sample guarantees, quantifying the relationship between the zero-one estimation error (or other target loss) and the…

机器学习 · 计算机科学 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

We consider a distributionally robust formulation of stochastic optimization problems arising in statistical learning, where robustness is with respect to uncertainty in the underlying data distribution. Our formulation builds on…

最优化与控制 · 数学 2021-06-09 Mert Gürbüzbalaban , Andrzej Ruszczyński , Landi Zhu

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

机器学习 · 计算机科学 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

We consider the problem of sequential decision making under uncertainty in which the loss caused by a decision depends on the following binary observation. In competitive on-line learning, the goal is to design decision algorithms that are…

机器学习 · 计算机科学 2007-05-23 Vladimir Vovk

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

Supervised classification techniques use training samples to find classification rules with small expected 0-1 loss. Conventional methods achieve efficient learning and out-of-sample generalization by minimizing surrogate losses over…

机器学习 · 统计学 2021-08-12 Santiago Mazuelas , Andrea Zanoni , Aritz Perez

Many decision-making processes involve solving a combinatorial optimization problem with uncertain input that can be estimated from historic data. Recently, problems in this class have been successfully addressed via end-to-end learning…

机器学习 · 计算机科学 2021-07-07 Maxime Mulamba , Jayanta Mandi , Michelangelo Diligenti , Michele Lombardi , Victor Bucarey , Tias Guns

Structured learning is appropriate when predicting structured outputs such as trees, graphs, or sequences. Most prior work requires the training set to consist of complete trees, graphs or sequences. Specifying such detailed ground truth…

机器学习 · 计算机科学 2012-07-03 Xinghua Lou , Fred Hamprecht

We propose a structured prediction approach for robot imitation learning from demonstrations. Among various tools for robot imitation learning, supervised learning has been observed to have a prominent role. Structured prediction is a form…

机器人学 · 计算机科学 2023-09-27 Anqing Duan , Iason Batzianoulis , Raffaello Camoriano , Lorenzo Rosasco , Daniele Pucci , Aude Billard

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

数值分析 · 数学 2025-11-04 Matteo Giacomini , Antonio Huerta

Margin-based structured prediction commonly uses a maximum loss over all possible structured outputs \cite{Altun03,Collins04b,Taskar03}. In natural language processing, recent work \cite{Zhang14,Zhang15} has proposed the use of the maximum…

机器学习 · 统计学 2018-11-16 Jean Honorio , Tommi Jaakkola