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One of the goals of active information acquisition using multi-robot teams is to keep the relative uncertainty in each region at the same level to maintain identical acquisition quality (e.g., consistent target detection) in all the…

Robotics · Computer Science 2025-10-01 Benjamin Wong , Aaron Weber , Mohamed M. Safwat , Santosh Devasia , Ashis G. Banerjee

The discovery of novel experimental techniques often lags behind contemporary theoretical understanding. In particular, it can be difficult to establish appropriate measurement protocols without analytic descriptions of the underlying…

Data Analysis, Statistics and Probability · Physics 2023-07-21 Nicholas Hindley , Stephen J. DeVience , Ella Zhang , Leo L. Cheng , Matthew S. Rosen

We consider the problem of sequentially making decisions that are rewarded by "successes" and "failures" which can be predicted through an unknown relationship that depends on a partially controllable vector of attributes for each instance.…

Machine Learning · Statistics 2017-09-18 Yingfei Wang , Chu Wang , Warren Powell

In the simplest sequential decision problem for an ergodic stochastic process X, at each time n a decision u_n is made as a function of past observations X_0,...,X_{n-1}, and a loss l(u_n,X_n) is incurred. In this setting, it is known that…

Probability · Mathematics 2015-02-04 Ramon van Handel

In this dissertation we propose alternative analysis of distributed stochastic gradient descent (SGD) algorithms that rely on spectral properties of the data covariance. As a consequence we can relate questions pertaining to speedups and…

Optimization and Control · Mathematics 2016-09-03 Avleen S. Bijral

Synthetic data becomes crucial for large language model training, but its effectiveness is highly inconsistent. We provide an information-theoretic account of this inconsistency: synthetic data improves a model only when the…

Machine Learning · Computer Science 2026-05-19 Hanyu Li , Zhengqi Sun , Xiaotie Deng

A distribution inference attack aims to infer statistical properties of data used to train machine learning models. These attacks are sometimes surprisingly potent, but the factors that impact distribution inference risk are not well…

Machine Learning · Computer Science 2024-04-09 Anshuman Suri , Yifu Lu , Yanjin Chen , David Evans

Adaptive experiments are used extensively in online platforms, healthcare and biotechnology, and a variety of other settings. In many of these applications, the main goal is not to precisely estimate a treatment effect, but to demonstrate…

Statistics Theory · Mathematics 2026-03-10 Guido Imbens , Lorenzo Masoero , Alexander Rakhlin , Thomas S. Richardson , Suhas Vijaykumar

The raise of machine learning and deep learning led to significant improvement in several domains. This change is supported by both the dramatic rise in computation power and the collection of large datasets. Such massive datasets often…

Machine Learning · Computer Science 2022-11-24 Hamid Jalalzai , Elie Kadoche , Rémi Leluc , Vincent Plassier

Safety in reinforcement learning (RL) is a key property in both training and execution in many domains such as autonomous driving or finance. In this paper, we formalize it with a constrained RL formulation in the distributional RL setting.…

Machine Learning · Computer Science 2021-03-01 Jianyi Zhang , Paul Weng

This paper presents an active search trajectory synthesis technique for autonomous mobile robots with nonlinear measurements and dynamics. The presented approach uses the ergodicity of a planned trajectory with respect to an expected…

Robotics · Computer Science 2017-08-31 Lauren M. Miller , Yonatan Silverman , Malcolm A. MacIver , Todd D. Murphey

Understanding whether fine-tuning elicits latent capabilities or teaches new ones is a fundamental question for language model evaluation and safety. We develop a formal information-theoretic framework for quantifying how much predictive…

Machine Learning · Computer Science 2026-01-09 Elizabeth Donoway , Hailey Joren , Fabien Roger , Jan Leike

We study the theoretical capacity to statistically learn local landscape information by Evolution Strategies (ESs). Specifically, we investigate the covariance matrix when constructed by ESs operating with the selection operator alone. We…

Neural and Evolutionary Computing · Computer Science 2016-06-24 Ofer M. Shir , Jonathan Roslund , Amir Yehudayoff

Adversarial attacks on stochastic bandits have traditionally relied on some unrealistic assumptions, such as per-round reward manipulation and unbounded perturbations, limiting their relevance to real-world systems. We propose a more…

Machine Learning · Computer Science 2026-05-08 Qirun Zeng , Eric He , Richard Hoffmann , Xuchuang Wang , Jinhang Zuo

Reinforcement learning addresses the dilemma between exploration to find profitable actions and exploitation to act according to the best observations already made. Bandit problems are one such class of problems in stateless environments…

Machine Learning · Computer Science 2012-02-20 Ananda Narayanan B , Balaraman Ravindran

The conventional approach to Bayesian decision-theoretic experiment design involves searching over possible experiments to select a design that maximizes the expected value of a specified utility function. The expectation is over the joint…

Methodology · Statistics 2023-04-18 Tommie A. Catanach , Niladri Das

We develop a probabilistic framework for analysing model-based reinforcement learning in the episodic setting. We then apply it to study finite-time horizon stochastic control problems with linear dynamics but unknown coefficients and…

Machine Learning · Computer Science 2021-12-22 Lukasz Szpruch , Tanut Treetanthiploet , Yufei Zhang

Weighted empirical risk minimization is a common approach to prediction under distribution drift. This article studies its out-of-sample prediction error under nonstationarity. We provide a general decomposition of the excess risk into a…

Machine Learning · Statistics 2026-05-19 Tobias Brock , Thomas Nagler

Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

Machine Learning · Computer Science 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

In this paper, we study distributional reinforcement learning from the perspective of statistical efficiency. We investigate distributional policy evaluation, aiming to estimate the complete return distribution (denoted $\eta^\pi$) attained…

Machine Learning · Statistics 2025-11-13 Liangyu Zhang , Yang Peng , Jiadong Liang , Wenhao Yang , Zhihua Zhang
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