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We analyze and evaluate an online gradient descent algorithm with adaptive per-coordinate adjustment of learning rates. Our algorithm can be thought of as an online version of batch gradient descent with a diagonal preconditioner. This…

Machine Learning · Computer Science 2010-02-26 Matthew Streeter , H. Brendan McMahan

We investigate the problem of learning Bayesian networks in a robust model where an $\epsilon$-fraction of the samples are adversarially corrupted. In this work, we study the fully observable discrete case where the structure of the network…

Data Structures and Algorithms · Computer Science 2018-10-30 Yu Cheng , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

Non-Bayesian social learning theory provides a framework that models distributed inference for a group of agents interacting over a social network. In this framework, each agent iteratively forms and communicates beliefs about an unknown…

Artificial Intelligence · Computer Science 2020-08-26 James Z. Hare , Cesar A. Uribe , Lance Kaplan , Ali Jadbabaie

In Bayesian networks, exact belief propagation is achieved through message passing algorithms. These algorithms (ex: inward and outward) provide only a recursive definition of the corresponding messages. In contrast, when working on hidden…

Probability · Mathematics 2012-01-24 G. Nuel

In many machine learning applications, there are multiple decision-makers involved, both automated and human. The interaction between these agents often goes unaddressed in algorithmic development. In this work, we explore a simple version…

Machine Learning · Statistics 2018-09-10 David Madras , Toniann Pitassi , Richard Zemel

Consider a multinomial regression model where the response, which indicates a unit's membership in one of several possible unordered classes, is associated with a set of predictor variables. Such models typically involve a matrix of…

Applications · Statistics 2009-01-28 Paul Gustafson , Geneviève Lefebvre

We provide a method for approximating Bayesian inference using rejection sampling. We not only make the process efficient, but also dramatically reduce the memory required relative to conventional methods by combining rejection sampling…

Machine Learning · Computer Science 2015-12-04 Nathan Wiebe , Christopher Granade , Ashish Kapoor , Krysta M Svore

We study online linear regression problems in a distributed setting, where the data is spread over a network. In each round, each network node proposes a linear predictor, with the objective of fitting the \emph{network-wide} data. It then…

Machine Learning · Computer Science 2019-02-14 Deming Yuan , Alexandre Proutiere , Guodong Shi

In this paper, we study a variant of the framework of online learning using expert advice with limited/bandit feedback. We consider each expert as a learning entity, seeking to more accurately reflecting certain real-world applications. In…

Machine Learning · Computer Science 2017-02-21 Adish Singla , Hamed Hassani , Andreas Krause

Autonomous agents operating in sequential decision-making tasks under uncertainty can benefit from external action suggestions, which provide valuable guidance but inherently vary in reliability. Existing methods for incorporating such…

Artificial Intelligence · Computer Science 2026-05-26 Dylan M. Asmar , Mykel J. Kochenderfer

This paper investigates how an autonomous agent can transmit information through its motion in an adversarial setting. We consider scenarios where an agent must reach its goal while deceiving an intelligent observer about its destination.…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Violetta Rostobaya , James Berneburg , Yue Guan , Michael Dorothy , Daigo Shishika

We study the problem of online learning (OL) from revealed preferences: a learner wishes to learn a non-strategic agent's private utility function through observing the agent's utility-maximizing actions in a changing environment. We adopt…

Optimization and Control · Mathematics 2021-06-07 Violet Xinying Chen , Fatma Kılınç-Karzan

The theory of deep learning focuses almost exclusively on supervised learning, non-convex optimization using stochastic gradient descent, and overparametrized neural networks. It is common belief that the optimizer dynamics, network…

Machine Learning · Computer Science 2022-02-18 Xinyi Chen , Edgar Minasyan , Jason D. Lee , Elad Hazan

Boosting is a widely used machine learning approach based on the idea of aggregating weak learning rules. While in statistical learning numerous boosting methods exist both in the realizable and agnostic settings, in online learning they…

Machine Learning · Computer Science 2020-03-04 Nataly Brukhim , Xinyi Chen , Elad Hazan , Shay Moran

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

Machine Learning · Computer Science 2016-09-20 Arthur Flajolet , Patrick Jaillet

Online Passive-Aggressive (PA) learning is an effective framework for performing max-margin online learning. But the deterministic formulation and estimated single large-margin model could limit its capability in discovering descriptive…

Machine Learning · Computer Science 2013-12-13 Tianlin Shi , Jun Zhu

We study a Bayesian persuasion model with two-dimensional states of the world, in which the sender (she) and receiver (he) have heterogeneous prior beliefs and care about different dimensions. The receiver is a naive agent who has a…

Theoretical Economics · Economics 2024-01-08 Maxim Senkov , Toygar T. Kerman

Inverse optimization is a powerful paradigm for learning preferences and restrictions that explain the behavior of a decision maker, based on a set of external signal and the corresponding decision pairs. However, most inverse optimization…

Machine Learning · Computer Science 2018-11-05 Chaosheng Dong , Yiran Chen , Bo Zeng

Persuasion, a fundamental social capability for humans, remains a challenge for AI systems such as large language models (LLMs). Current studies often overlook the strategic use of information asymmetry in message design or rely on strong…

Computation and Language · Computer Science 2025-10-17 Buwei He , Yang Liu , Zhaowei Zhang , Zixia Jia , Huijia Wu , Zhaofeng He , Zilong Zheng , Yipeng Kang

Bayesian optimisation is a popular method for efficient optimisation of expensive black-box functions. Traditionally, BO assumes that the search space is known. However, in many problems, this assumption does not hold. To this end, we…

Machine Learning · Statistics 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Huong Ha , Svetha Venkatesh