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Practical and pervasive needs for robustness and privacy in algorithms have inspired the design of online adversarial and differentially private learning algorithms. The primary quantity that characterizes learnability in these settings is…

机器学习 · 计算机科学 2020-06-19 Nika Haghtalab , Tim Roughgarden , Abhishek Shetty

On-policy distillation (OPD) trains a student on its own rollouts with token-level teacher supervision. Recent selective OPD methods exploit the non-uniformity of OPD signals by prioritizing high-entropy or high-disagreement tokens. We…

机器学习 · 计算机科学 2026-05-27 Yuanyi Wang , Su Lu , Yanggan Gu , Pengkai Wang , Yifan Yang , Zhaoyi Yan , Congkai Xie , Jianmin Wu , Hongxia Yang

We study universal consistency of non-i.i.d. processes in the context of online learning. A stochastic process is said to admit universal consistency if there exists a learner that achieves vanishing average loss for any measurable response…

机器学习 · 计算机科学 2022-07-19 Moïse Blanchard , Romain Cosson

Hierarchical classification offers an approach to incorporate the concept of mistake severity by leveraging a structured, labeled hierarchy. However, decoding in such settings frequently relies on heuristic decision rules, which may not…

机器学习 · 计算机科学 2025-06-03 Roman Plaud , Alexandre Perez-Lebel , Matthieu Labeau , Antoine Saillenfest , Thomas Bonald

In the binary hypothesis testing problem, it is well known that sequentiality in taking samples eradicates the trade-off between two error exponents, yet implementing the optimal test requires the knowledge of the underlying distributions,…

信息论 · 计算机科学 2025-01-07 Ching-Fang Li , I-Hsiang Wang

We investigate the problem of cumulative regret minimization for individual sequence prediction with respect to the best expert in a finite family of size K under limited access to information. We assume that in each round, the learner can…

统计理论 · 数学 2022-10-06 El Mehdi Saad , G. Blanchard

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

数据结构与算法 · 计算机科学 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

An algorithm is described that enables efficient deterministic approximate computation of the bootstrap distribution for any linear bootstrap method $T_n^*$, alleviating the need for repeated resampling from observations (resp.…

统计方法学 · 统计学 2019-04-10 Thomas Pitschel

Autoregressive generation lies at the heart of the mechanism of large language models. It can be viewed as the repeated application of a next-token generator: starting from an input string (prompt), the generator is applied for $M$ steps,…

机器学习 · 计算机科学 2026-05-11 Ilan Doron-Arad , Idan Mehalel , Elchanan Mossel

We present a formal proof in Lean of probably approximately correct (PAC) learnability of the concept class of decision stumps. This classic result in machine learning theory derives a bound on error probabilities for a simple type of…

机器学习 · 计算机科学 2021-01-11 Joseph Tassarotti , Koundinya Vajjha , Anindya Banerjee , Jean-Baptiste Tristan

This paper studies the problem of learning an unknown function $f$ from given data about $f$. The learning problem is to give an approximation $\hat f$ to $f$ that predicts the values of $f$ away from the data. There are numerous settings…

机器学习 · 计算机科学 2023-06-27 Peter Binev , Andrea Bonito , Ronald DeVore , Guergana Petrova

We study the problem of learning classification functions from noiseless training samples, under the assumption that the decision boundary is of a certain regularity. We establish universal lower bounds for this estimation problem, for…

泛函分析 · 数学 2021-12-28 Philipp Petersen , Felix Voigtlaender

Most classifiers operate by selecting the maximum of an estimate of the conditional distribution $p(y|x)$ where $x$ stands for the features of the instance to be classified and $y$ denotes its label. This often results in a {\em hubristic…

机器学习 · 统计学 2019-03-01 Yotam Hechtlinger , Barnabás Póczos , Larry Wasserman

Let~$\cH$ be a class of boolean functions and consider a {\it composed class} $\cH'$ that is derived from~$\cH$ using some arbitrary aggregation rule (for example, $\cH'$ may be the class of all 3-wise majority-votes of functions in $\cH$).…

机器学习 · 计算机科学 2020-05-14 Noga Alon , Amos Beimel , Shay Moran , Uri Stemmer

Recent work introduced the model of learning from discriminative feature feedback, in which a human annotator not only provides labels of instances, but also identifies discriminative features that highlight important differences between…

机器学习 · 计算机科学 2021-05-25 Sanjoy Dasgupta , Sivan Sabato

Online learning is a model of machine learning where the learner is trained on sequential feedback. We investigate worst-case error for the online learning of real functions that have certain smoothness constraints. Suppose that…

机器学习 · 计算机科学 2025-02-25 Weian Xie

Production AI systems often operate with incomplete, conflicting, or insufficient evidence. Forced classifiers collapse such cases into action labels, while generative systems can produce outputs that are difficult to interpret as auditable…

人工智能 · 计算机科学 2026-05-28 Sankaranarayanan Palamadai Chandrasekaran

Textual open intent classification is crucial for real-world dialogue systems, enabling robust detection of unknown user intents without prior knowledge and contributing to the robustness of the system. While adaptive decision boundary…

计算与语言 · 计算机科学 2025-11-25 Yuetian Zou , Hanlei Zhang , Hua Xu , Songze Li , Long Xiao

Algorithms for learning decision trees often include heuristic local-search operations such as (1) adjusting the threshold of a cut or (2) also exchanging the feature of that cut. We study minimizing the number of classification errors by…

机器学习 · 计算机科学 2025-10-15 Juha Harviainen , Frank Sommer , Manuel Sorge

On-line learning of a rule given by an N-dimensional Ising perceptron, is considered for the case when the student is constrained to take values in a discrete state space of size $L^N$. For L=2 no on-line algorithm can achieve a finite…

凝聚态物理 · 物理学 2007-05-23 W. Kinzel , R. Urbanczik