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Adaptive importance sampling (AIS) uses past samples to update the \textit{sampling policy} $q_t$ at each stage $t$. Each stage $t$ is formed with two steps : (i) to explore the space with $n_t$ points according to $q_t$ and (ii) to exploit…

Statistics Theory · Mathematics 2018-10-04 Bernard Delyon , François Portier

Adaptive importance sampling (AIS) algorithms are widely used to approximate expectations with respect to complicated target probability distributions. When the target has heavy tails, existing AIS algorithms can provide inconsistent…

Computation · Statistics 2023-10-26 Thomas Guilmeau , Nicola Branchini , Emilie Chouzenoux , Víctor Elvira

Annealed importance sampling (AIS) and related algorithms are highly effective tools for marginal likelihood estimation, but are not fully differentiable due to the use of Metropolis-Hastings correction steps. Differentiability is a…

Machine Learning · Statistics 2021-10-28 Guodong Zhang , Kyle Hsu , Jianing Li , Chelsea Finn , Roger Grosse

In this paper we address the problem of performing Bayesian inference for the parameters of a nonlinear multi-output model and the covariance matrix of the different output signals. We propose an adaptive importance sampling (AIS) scheme…

Computation · Statistics 2025-01-03 E. Curbelo , L. Martino , F. Llorente , D. Delgado-Gomez

Stochastic sparse linear bandits offer a practical model for high-dimensional online decision-making problems and have a rich information-regret structure. In this work we explore the use of information-directed sampling (IDS), which…

Machine Learning · Statistics 2021-06-01 Botao Hao , Tor Lattimore , Wei Deng

We consider the problem of Imitation Learning (IL) by actively querying noisy expert for feedback. While imitation learning has been empirically successful, much of prior work assumes access to noiseless expert feedback which is not…

Machine Learning · Computer Science 2023-07-12 Ayush Sekhari , Karthik Sridharan , Wen Sun , Runzhe Wu

We study how to adapt to smoothly-varying ('easy') environments in well-known online learning problems where acquiring information is expensive. For the problem of label efficient prediction, which is a budgeted version of prediction with…

Machine Learning · Computer Science 2019-12-09 Siddharth Mitra , Aditya Gopalan

Estimating rare events in complex systems is a key challenge in reliability analysis. The challenge grows in multimodal problems, where traditional methods often rely on a small set of design points and risk overlooking critical failure…

Computation · Statistics 2025-08-04 Sara Helal , Victor Elvira

Adaptive importance sampling (AIS) algorithms are a rising methodology in signal processing, statistics, and machine learning. An effective adaptation of the proposals is key for the success of AIS. Recent works have shown that gradient…

Computation · Statistics 2025-03-27 Víctor Elvira , Émilie Chouzenoux , O. Deniz Akyildiz

In this paper, we study a sequential decision-making problem, called Adaptive Sampling for Discovery (ASD). Starting with a large unlabeled dataset, algorithms for ASD adaptively label the points with the goal to maximize the sum of…

Machine Learning · Statistics 2023-01-04 Ziping Xu , Eunjae Shim , Ambuj Tewari , Paul Zimmerman

Bayesian neural networks (BNNs) have received an increased interest in the last years. In BNNs, a complete posterior distribution of the unknown weight and bias parameters of the network is produced during the training stage. This…

Machine Learning · Computer Science 2023-04-14 Yunshi Huang , Emilie Chouzenoux , Victor Elvira , Jean-Christophe Pesquet

Reducing the variance of the gradient estimator is known to improve the convergence rate of stochastic gradient-based optimization and sampling algorithms. One way of achieving variance reduction is to design importance sampling strategies.…

Machine Learning · Computer Science 2021-03-24 Ayoub El Hanchi , David A. Stephens

Online model selection in Bayesian bandits raises a fundamental exploration challenge: When an environment instance is sampled from a prior distribution, how can we design an adaptive strategy that explores multiple bandit learners and…

Machine Learning · Computer Science 2026-02-23 Aida Afshar , Yuke Zhang , Aldo Pacchiano

We study the problem of online learning in contextual bandit problems where the loss function is assumed to belong to a known parametric function class. We propose a new analytic framework for this setting that bridges the Bayesian theory…

Machine Learning · Computer Science 2024-06-28 Gergely Neu , Matteo Papini , Ludovic Schwartz

Reinforcement learning studies how to balance exploration and exploitation in real-world systems, optimizing interactions with the world while simultaneously learning how the world operates. One general class of algorithms for such learning…

Machine Learning · Statistics 2018-08-10 Iñigo Urteaga , Chris H. Wiggins

Many high-dimensional online decision-making problems can be modeled as stochastic sparse linear bandits. Most existing algorithms are designed to achieve optimal worst-case regret in either the data-rich regime, where polynomial dependence…

Machine Learning · Computer Science 2025-10-29 Ludovic Schwartz , Hamish Flynn , Gergely Neu

Adaptive experimentation under unknown network interference requires solving two coupled problems: (i) learning the underlying dynamics of interference among units and (ii) using these dynamics to inform treatment allocation in order to…

Machine Learning · Statistics 2026-05-13 Aidan Gleich , Eric Laber , Alexander Volfovsky

Reinforcement learning (RL) for large language models (LLMs) is dominated by the cost of rollout generation, which has motivated the use of low-precision rollouts (e.g., FP8) paired with a BF16 trainer to improve throughput and reduce…

Machine Learning · Statistics 2026-05-15 Jiajun Zhou , Wei Shao , Lingchao Zheng , Yuwei Fan , Ngai Wong

We propose ${\tt AdaTS}$, a Thompson sampling algorithm that adapts sequentially to bandit tasks that it interacts with. The key idea in ${\tt AdaTS}$ is to adapt to an unknown task prior distribution by maintaining a distribution over its…

Machine Learning · Computer Science 2022-02-28 Soumya Basu , Branislav Kveton , Manzil Zaheer , Csaba Szepesvári

Policy gradient reinforcement learning (RL) algorithms have achieved impressive performance in challenging learning tasks such as continuous control, but suffer from high sample complexity. Experience replay is a commonly used approach to…

Machine Learning · Statistics 2020-02-19 Saad Mohamad , Giovanni Montana
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