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Despite the undeniable progress in visual recognition tasks fueled by deep neural networks, there exists recent evidence showing that these models are poorly calibrated, resulting in over-confident predictions. The standard practices of…

Computer Vision and Pattern Recognition · Computer Science 2024-02-01 Balamurali Murugesan , Bingyuan Liu , Adrian Galdran , Ismail Ben Ayed , Jose Dolz

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

Methodology · Statistics 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

We present $\alpha$-loss, $\alpha \in [1,\infty]$, a tunable loss function for binary classification that bridges log-loss ($\alpha=1$) and $0$-$1$ loss ($\alpha = \infty$). We prove that $\alpha$-loss has an equivalent margin-based form…

Machine Learning · Computer Science 2019-03-21 Tyler Sypherd , Mario Diaz , Lalitha Sankar , Peter Kairouz

The predict-then-optimize framework is fundamental in practical stochastic decision-making problems: first predict unknown parameters of an optimization model, then solve the problem using the predicted values. A natural loss function in…

Machine Learning · Computer Science 2021-10-27 Heyuan Liu , Paul Grigas

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

Machine Learning · Statistics 2026-05-26 Alexander Shen , Mikael Kuusela

We present a detailed study of top-$k$ classification, the task of predicting the $k$ most probable classes for an input, extending beyond single-class prediction. We demonstrate that several prevalent surrogate loss functions in…

Machine Learning · Computer Science 2024-03-29 Anqi Mao , Mehryar Mohri , Yutao Zhong

For decision making under uncertainty, min-max regret has been established as a popular methodology to find robust solutions. In this approach, we compare the performance of our solution against the best possible performance had we known…

Optimization and Control · Mathematics 2021-11-25 Marc Goerigk , Michael Hartisch

In weakly supervised learning, unbiased risk estimator(URE) is a powerful tool for training classifiers when training and test data are drawn from different distributions. Nevertheless, UREs lead to overfitting in many problem settings when…

Machine Learning · Computer Science 2020-08-25 Yu-Ting Chou , Gang Niu , Hsuan-Tien Lin , Masashi Sugiyama

Being cautious is crucial for enhancing the trustworthiness of machine learning systems integrated into decision-making pipelines. Although calibrated probabilities help in optimal decision-making, perfect calibration remains unattainable,…

Machine Learning · Computer Science 2024-08-12 Mari-Liis Allikivi , Joonas Järve , Meelis Kull

Bayesian inference typically relies on a large number of model evaluations to estimate posterior distributions. Established methods like Markov Chain Monte Carlo (MCMC) and Amortized Bayesian Inference (ABI) can become computationally…

We propose a general framework for studying adaptive regret bounds in the online learning framework, including model selection bounds and data-dependent bounds. Given a data- or model-dependent bound we ask, "Does there exist some algorithm…

Machine Learning · Computer Science 2020-02-14 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

Machine learning models are routinely used to support decisions that affect individuals -- be it to screen a patient for a serious illness or to gauge their response to treatment. In these tasks, we are limited to learning models from…

Machine Learning · Computer Science 2025-06-10 Sujay Nagaraj , Yang Liu , Flavio P. Calmon , Berk Ustun

We study batched nonparametric contextual bandits under a margin condition when the margin parameter $\alpha$ is unknown. To capture the statistical cost of this ignorance, we introduce the regret inflation criterion, defined as the ratio…

Statistics Theory · Mathematics 2025-11-12 Rong Jiang , Cong Ma

Various evaluation measures have been developed for multi-label classification, including Hamming Loss (HL), Subset Accuracy (SA) and Ranking Loss (RL). However, there is a gap between empirical results and the existing theories: 1) an…

Machine Learning · Computer Science 2020-11-17 Guoqiang Wu , Jun Zhu

Discrete supervised learning problems such as classification are often tackled by introducing a continuous surrogate problem akin to regression. Bounding the original error, between estimate and solution, by the surrogate error endows…

Machine Learning · Statistics 2021-07-16 Vivien Cabannes , Alessandro Rudi , Francis Bach

Modern algorithms for binary classification rely on an intermediate regression problem for computational tractability. In this paper, we establish a geometric distinction between classification and regression that allows risk in these two…

Machine Learning · Statistics 2022-05-19 Suhas Vijaykumar , Claire Lazar Reich

We study causal inference in sample selection models where a continuous or multivalued treatment affects both outcome and their observability (eg., employment or survey response). We generalized the widely used Lee (2009)'s bounds for…

Econometrics · Economics 2025-10-29 Ying-Ying Lee , Chu-An Liu

Many real-world decision problems require solving, again and again, combinatorial optimization instances drawn from a common distribution. A recent line of structured learning methods exploits this regularity by learning policies that pair…

Machine Learning · Statistics 2026-05-20 Pierre-Cyril Aubin-Frankowski , Yohann De Castro , Axel Parmentier , Alessandro Rudi

We propose a novel family of decision-aware surrogate losses, called Perturbation Gradient (PG) losses, for the predict-then-optimize framework. The key idea is to connect the expected downstream decision loss with the directional…

Machine Learning · Computer Science 2024-11-01 Michael Huang , Vishal Gupta

This is a brief technical note to clarify the state of lower bounds on regret for reinforcement learning. In particular, this paper: - Reproduces a lower bound on regret for reinforcement learning, similar to the result of Theorem 5 in the…

Machine Learning · Statistics 2016-08-10 Ian Osband , Benjamin Van Roy