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Uncertainty quantification of prediction models through prediction sets is increasingly popular and successful, but most existing methods rely on directly observing the outcome and do not appropriately handle censored outcomes, such as…

统计方法学 · 统计学 2025-05-06 Wenwen Si , Hongxiang Qiu

In the field of machine learning, regression problems are pivotal due to their ability to predict continuous outcomes. Traditional error metrics like mean squared error, mean absolute error, and coefficient of determination measure model…

机器学习 · 计算机科学 2024-06-07 Yu-Hsueh Fang , Chia-Yen Lee

We consider the challenge of finding a deterministic policy for a Markov decision process that uniformly (in all states) maximizes one reward subject to a probabilistic constraint over a different reward. Existing solutions do not fully…

机器学习 · 计算机科学 2022-01-21 Jaeyoung Lee , Sean Sedwards , Krzysztof Czarnecki

Imposing orthogonality on the layers of neural networks is known to facilitate the learning by limiting the exploding/vanishing of the gradient; decorrelate the features; improve the robustness. This paper studies the theoretical properties…

统计理论 · 数学 2023-01-16 El Mehdi Achour , François Malgouyres , Franck Mamalet

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

机器学习 · 统计学 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

The aim of this paper is to provide several novel upper bounds on the excess risk with a primal focus on classification problems. We suggest two approaches and the obtained bounds are represented via the distribution dependent local…

统计理论 · 数学 2018-03-13 Nikita Zhivotovskiy

This paper investigates the efficiency of the K-fold cross-validation (CV) procedure and a debiased version thereof as a means of estimating the generalization risk of a learning algorithm. We work under the general assumption of uniform…

统计理论 · 数学 2023-06-13 Anass Aghbalou , François Portier , Anne Sabourin

Automata-conditioned reinforcement learning (RL) has given promising results for learning multi-task policies capable of performing temporally extended objectives given at runtime, done by pretraining and freezing automata embeddings prior…

机器学习 · 计算机科学 2025-05-26 Beyazit Yalcinkaya , Niklas Lauffer , Marcell Vazquez-Chanlatte , Sanjit A. Seshia

We address the challenge of certifying the performance of a federated learning model on an unseen target network using only measurements from the source network that trained the model. Specifically, consider a source network "A" with $K$…

机器学习 · 统计学 2025-06-10 Amir Najafi , Samin Mahdizadeh Sani , Farzan Farnia

Conformal Prediction is a widely studied technique to construct prediction sets of future observations. Most conformal prediction methods focus on achieving the necessary coverage guarantees, but do not provide formal guarantees on the size…

机器学习 · 计算机科学 2025-02-25 Chao Gao , Liren Shan , Vaidehi Srinivas , Aravindan Vijayaraghavan

Interpretability is an emerging area of research in trustworthy machine learning. Safe deployment of machine learning system mandates that the prediction and its explanation be reliable and robust. Recently, it has been shown that the…

计算机视觉与模式识别 · 计算机科学 2020-07-21 Mayank Singh , Nupur Kumari , Puneet Mangla , Abhishek Sinha , Vineeth N Balasubramanian , Balaji Krishnamurthy

Class-conditional generative models hold promise to overcome the shortcomings of their discriminative counterparts. They are a natural choice to solve discriminative tasks in a robust manner as they jointly optimize for predictive…

机器学习 · 计算机科学 2020-02-18 Ethan Fetaya , Jörn-Henrik Jacobsen , Will Grathwohl , Richard Zemel

Control barrier functions (CBFs) have been demonstrated as an effective method for safety-critical control of autonomous systems. Although CBFs are simple to deploy, their design remains challenging, motivating the development of…

机器人学 · 计算机科学 2026-03-10 Bojan Derajić , Sebastian Bernhard , Wolfgang Hönig

The existence of adversarial data examples has drawn significant attention in the deep-learning community; such data are seemingly minimally perturbed relative to the original data, but lead to very different outputs from a deep-learning…

机器学习 · 计算机科学 2019-11-12 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

We introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

机器学习 · 统计学 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan

We explore in some detail the notion of algorithmic stability as a viable framework for analyzing the generalization error of learning algorithms. We introduce the new notion of training stability of a learning algorithm and show that, in a…

机器学习 · 计算机科学 2013-01-07 Samuel Kutin , Partha Niyogi

This article studies the achievable guarantees on the error rates of certain learning algorithms, with particular focus on refining logarithmic factors. Many of the results are based on a general technique for obtaining bounds on the error…

机器学习 · 计算机科学 2016-09-13 Steve Hanneke

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

统计理论 · 数学 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

We investigate statistical properties for a broad class of modern kernel-based regression (KBR) methods. These kernel methods were developed during the last decade and are inspired by convex risk minimization in infinite-dimensional Hilbert…

统计理论 · 数学 2009-09-29 Andreas Christmann , Ingo Steinwart

Energy-based learning algorithms, such as predictive coding (PC), have garnered significant attention in the machine learning community due to their theoretical properties, such as local operations and biologically plausible mechanisms for…

机器学习 · 计算机科学 2024-10-08 Ankur Mali , Tommaso Salvatori , Alexander Ororbia