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We examine the connection between training error and generalization error for arbitrary estimating procedures, working in an overparameterized linear model under general priors in a Bayesian setup. We find determining factors inherent to…

Machine Learning · Statistics 2026-02-11 Chen Cheng , Rina Foygel Barber

The paper addresses the problem of computing goal orderings, which is one of the longstanding issues in AI planning. It makes two new contributions. First, it formally defines and discusses two different goal orderings, which are called the…

Artificial Intelligence · Computer Science 2011-06-02 J. Hoffmann , J. Koehler

The quantification of uncertainty is important for the adoption of machine learning, especially to reject out-of-distribution (OOD) data back to human experts for review. Yet progress has been slow, as a balance must be struck between…

Machine Learning · Computer Science 2022-09-12 Derek Everett , Andre T. Nguyen , Luke E. Richards , Edward Raff

Federated learning is the centralized training of statistical models from decentralized data on mobile devices while preserving the privacy of each device. We present a robust aggregation approach to make federated learning robust to…

Machine Learning · Statistics 2023-08-04 Krishna Pillutla , Sham M. Kakade , Zaid Harchaoui

Instruction tuned reasoning models are increasingly deployed with safety classifiers trained on frozen embeddings, assuming representation stability across model updates. We systematically investigate this assumption and find it fails:…

Machine Learning · Computer Science 2026-03-03 Subramanyam Sahoo , Vinija Jain , Divya Chaudhary , Aman Chadha

Uncertainty is the only certainty there is. Modeling data uncertainty is essential for regression, especially in unconstrained settings. Traditionally the direct regression formulation is considered and the uncertainty is modeled by…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Wanhua Li , Xiaoke Huang , Jiwen Lu , Jianjiang Feng , Jie Zhou

Although deep learning based approximation algorithms have been applied very successfully to numerous problems, at the moment the reasons for their performance are not entirely understood from a mathematical point of view. Recently,…

Machine Learning · Computer Science 2023-04-13 Arnulf Jentzen , Adrian Riekert

The objective function of a matrix factorization model usually aims to minimize the average of a regression error contributed by each element. However, given the existence of stochastic noises, the implicit deviations of sample data from…

Machine Learning · Computer Science 2016-10-31 Guang-He Lee , Shao-Wen Yang , Shou-De Lin

Numerous models for grounded language understanding have been recently proposed, including (i) generic models that can be easily adapted to any given task and (ii) intuitively appealing modular models that require background knowledge to be…

Computation and Language · Computer Science 2019-04-23 Dzmitry Bahdanau , Shikhar Murty , Michael Noukhovitch , Thien Huu Nguyen , Harm de Vries , Aaron Courville

Inspired by recent strides in empirical efficacy of implicit learning in many robotics tasks, we seek to understand the theoretical benefits of implicit formulations in the face of nearly discontinuous functions, common characteristics for…

Robotics · Computer Science 2022-04-08 Bibit Bianchini , Mathew Halm , Nikolai Matni , Michael Posa

Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

Materials Science · Physics 2025-10-10 Şener Özönder

We study the generalization error of statistical learning algorithms in a non-i.i.d. setting, where the training data is sampled from a stationary mixing process. We develop an analytic framework for this scenario based on a reduction to…

Machine Learning · Computer Science 2025-02-20 Baptiste Abeles , Eugenio Clerico , Gergely Neu

Existing ordinal embedding methods usually follow a two-stage routine: outlier detection is first employed to pick out the inconsistent comparisons; then an embedding is learned from the clean data. However, learning in a multi-stage manner…

Machine Learning · Computer Science 2018-12-06 Ke Ma , Qianqian Xu , Xiaochun Cao

We consider a wireless network with a base station serving multiple traffic streams to different destinations. Packets from each stream arrive to the base station according to a stochastic process and are enqueued in a separate (per stream)…

Networking and Internet Architecture · Computer Science 2019-05-20 Igor Kadota , Eytan Modiano

Data poisoning attacks, in which an adversary corrupts a training set with the goal of inducing specific desired mistakes, have raised substantial concern: even just the possibility of such an attack can make a user no longer trust the…

Machine Learning · Computer Science 2022-03-09 Maria-Florina Balcan , Avrim Blum , Steve Hanneke , Dravyansh Sharma

Replicability is essential in science as it allows us to validate and verify research findings. Impagliazzo, Lei, Pitassi and Sorrell (`22) recently initiated the study of replicability in machine learning. A learning algorithm is…

Machine Learning · Computer Science 2023-04-13 Zachary Chase , Shay Moran , Amir Yehudayoff

Bounding the price of anarchy, which quantifies the damage to social welfare due to selfish behavior of the participants, has been an important area of research. In this paper, we study this phenomenon in the context of a game modeling…

Computer Science and Game Theory · Computer Science 2020-03-17 Jason Gaitonde , Eva Tardos

IRT models are being increasingly used worldwide for test construction and scoring. The study examines the practical implications of estimating individual scores in a paper-and-pencil high-stakes test using 2PL and 3PL models, specifically…

Applications · Statistics 2018-05-03 Nancy Lacourly , Jaime San Martin , Monica Silva , Paula Uribe

Generalization to novel compound tasks under distribution shift is important for deploying transformer-based language models (LMs). This work investigates Chain-of-Thought (CoT) reasoning as a means to enhance OOD generalization. Through…

Computation and Language · Computer Science 2026-03-31 Ru Wang , Wei Huang , Selena Song , Haoyu Zhang , Qian Niu , Yusuke Iwasawa , Yutaka Matsuo , Jiaxian Guo

Metric learning aims to learn a distance metric such that semantically similar instances are pulled together while dissimilar instances are pushed away. Many existing methods consider maximizing or at least constraining a distance margin in…

Machine Learning · Statistics 2022-08-17 Xiaochen Yang , Yiwen Guo , Mingzhi Dong , Jing-Hao Xue
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