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Recent advances in generative artificial intelligence (GenAI) models have enabled the generation of personalized content that adapts to up-to-date user context. While personalized decision systems are often modeled using bandit…

机器学习 · 统计学 2025-05-23 Marc Brooks , Gabriel Durham , Kihyuk Hong , Ambuj Tewari

We propose a localized consensus-based method for sampling from non-Gaussian distributions. This method arises from an alternative derivation of consensus-based sampling (CBS). Starting from ensemble-preconditioned Langevin dynamics, we…

The primary goal of this paper is to provide an efficient solution algorithm based on the augmented Lagrangian framework for optimization problems with a stochastic objective function and deterministic constraints. Our main contribution is…

最优化与控制 · 数学 2023-12-29 Raghu Bollapragada , Cem Karamanli , Brendan Keith , Boyan Lazarov , Socratis Petrides , Jingyi Wang

We present a modular Bayesian optimization framework that efficiently generates time-optimal trajectories for a cooperative multi-agent system, such as a team of UAVs. Existing methods for multi-agent trajectory generation often rely on…

机器人学 · 计算机科学 2022-06-03 Gilhyun Ryou , Ezra Tal , Sertac Karaman

Numerical integration and emulation are fundamental topics across scientific fields. We propose novel adaptive quadrature schemes based on an active learning procedure. We consider an interpolative approach for building a surrogate…

统计计算 · 统计学 2021-01-20 F. Llorente , L. Martino , V. Elvira , D. Delgado , J. López-Santiago

Identifying variables associated with clinical endpoints is of much interest in clinical trials. With the rapid growth of cell and gene therapy (CGT) and therapeutics for ultra-rare diseases, there is an urgent need for statistical methods…

统计方法学 · 统计学 2025-11-18 Lingxuan Kong , Yumin Zhang , Chenkun Wang , Yaoyuan Vincent Tan

Gaussian processes (GPs) serve as flexible surrogates for complex surfaces, but buckle under the cubic cost of matrix decompositions with big training data sizes. Geospatial and machine learning communities suggest pseudo-inputs, or…

统计方法学 · 统计学 2021-02-05 D. Austin Cole , Ryan Christianson , Robert B. Gramacy

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

Global sensitivity analysis of complex numerical simulators is often limited by the small number of model evaluations that can be afforded. In such settings, surrogate models built from a limited set of simulations can substantially reduce…

机器学习 · 统计学 2026-01-21 Guerlain Lambert , Céline Helbert , Claire Lauvernet

Sum-product networks (SPNs) are probabilistic models characterized by exact and fast evaluation of fundamental probabilistic operations. Its superior computational tractability has led to applications in many fields, such as machine…

机器学习 · 统计学 2024-06-19 Soma Yokoi , Issei Sato

Complex robot navigation and control problems can be framed as policy search problems. However, interactive learning in uncertain environments can be expensive, requiring the use of data-efficient methods. Bayesian optimization is an…

机器学习 · 计算机科学 2025-01-29 Javier Garcia-Barcos , Ruben Martinez-Cantin

Thompson sampling (TS) is a Bayesian randomized exploration strategy that samples options (e.g., system parameters or control laws) from the current posterior and then applies the selected option that is optimal for a task, thereby…

机器学习 · 计算机科学 2026-02-06 Kaikai Zheng , Dawei Shi , Yang Shi , Long Wang

We study the problem of performing automated experiment design for drug screening through Bayesian inference and optimisation. In particular, we compare and contrast the behaviour of linear-Gaussian models and Gaussian processes, when used…

机器学习 · 计算机科学 2021-05-11 Hannes Eriksson , Christos Dimitrakakis , Lars Carlsson

Constrained optimization in high-dimensional black-box settings is difficult due to expensive evaluations, the lack of gradient information, and complex feasibility regions. In this work, we propose a Bayesian optimization method that…

机器学习 · 统计学 2026-03-26 Raju Chowdhury , Tanmay Sen , Prajamitra Bhuyan , Biswabrata Pradhan

In Reinforcement Learning (RL), multi-armed Bandit (MAB) problems have found applications across diverse domains such as recommender systems, healthcare, and finance. Traditional MAB algorithms typically assume stationary reward…

人工智能 · 计算机科学 2024-10-10 Gustavo de Freitas Fonseca , Lucas Coelho e Silva , Paulo André Lima de Castro

We consider a finite-horizon multi-armed bandit (MAB) problem in a Bayesian setting, for which we propose an information relaxation sampling framework. With this framework, we define an intuitive family of control policies that include…

机器学习 · 计算机科学 2021-06-17 Seungki Min , Costis Maglaras , Ciamac C. Moallemi

Simulation models are widely used in practice to facilitate decision-making in a complex, dynamic and stochastic environment. But they are computationally expensive to execute and optimize, due to lack of analytical tractability. Simulation…

最优化与控制 · 数学 2021-06-14 L. Jeff Hong , Xiaowei Zhang

Model fitting is possibly the most extended problem in science. Classical approaches include the use of least-squares fitting procedures and maximum likelihood methods to estimate the value of the parameters in the model. However, in recent…

天体物理仪器与方法 · 物理学 2022-04-12 J. Lopez-Santiago , L. Martino , J. Miguez , M. A. Vazquez

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

机器学习 · 统计学 2015-08-04 Yuval Harel , Ron Meir , Manfred Opper

Extending Bayesian optimization to batch evaluation can enable the designer to make the most use of parallel computing technology. However, most of current batch approaches do not scale well with the batch size. That is, their performances…

机器学习 · 计算机科学 2025-04-25 Dawei Zhan , Zhaoxi Zeng , Shuoxiao Wei , Ping Wu