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Despite having various attractive qualities such as high prediction accuracy and the ability to quantify uncertainty and avoid over-fitting, Bayesian Matrix Factorization has not been widely adopted because of the prohibitive cost of…

Machine Learning · Computer Science 2015-03-11 Sungjin Ahn , Anoop Korattikara , Nathan Liu , Suju Rajan , Max Welling

Randomized controlled experiments assess new policy impacts on performance metrics to inform launch decisions. Traditional approaches evaluate metrics independently despite correlations, and mixed results (e.g., positive revenue impact,…

Applications · Statistics 2026-01-29 Hoiyi Ng , Guido Imbens

We develop a principled approach to end-to-end learning in stochastic optimization. First, we show that the standard end-to-end learning algorithm admits a Bayesian interpretation and trains a posterior Bayes action map. Building on the…

Optimization and Control · Mathematics 2023-06-13 Yves Rychener , Daniel Kuhn , Tobias Sutter

We introduce a means of automating machine learning (ML) for big data tasks, by performing scalable stochastic Bayesian optimisation of ML algorithm parameters and hyper-parameters. More often than not, the critical tuning of ML algorithm…

Machine Learning · Statistics 2014-07-31 Thomas Nickson , Michael A Osborne , Steven Reece , Stephen J Roberts

We consider the problem of optimizing a real-valued continuous function $f$ using a Bayesian approach, where the evaluations of $f$ are chosen sequentially by combining prior information about $f$, which is described by a random process…

Optimization and Control · Mathematics 2011-11-22 Romain Benassi , Julien Bect , Emmanuel Vazquez

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

Optimization and Control · Mathematics 2013-10-03 Victor Picheny

Bayesian optimization is a sample-efficient approach to solving global optimization problems. Along with a surrogate model, this approach relies on theoretically motivated value heuristics (acquisition functions) to guide the search…

Machine Learning · Statistics 2017-12-04 James T. Wilson , Riccardo Moriconi , Frank Hutter , Marc Peter Deisenroth

Integration over non-negative integrands is a central problem in machine learning (e.g. for model averaging, (hyper-)parameter marginalisation, and computing posterior predictive distributions). Bayesian Quadrature is a probabilistic…

Machine Learning · Statistics 2018-12-05 Ed Wagstaff , Saad Hamid , Michael Osborne

Distributed inference/estimation in Bayesian framework in the context of sensor networks has recently received much attention due to its broad applicability. The variational Bayesian (VB) algorithm is a technique for approximating…

Machine Learning · Statistics 2020-11-30 Junhao Hua , Chunguang Li

The generation of decision-theoretic Bayesian optimal designs is complicated by the significant computational challenge of minimising an analytically intractable expected loss function over a, potentially, high-dimensional design space. A…

Methodology · Statistics 2017-02-07 Antony M. Overstall , James M. McGree , Christopher C. Drovandi

We propose a Monte Carlo algorithm to sample from high dimensional probability distributions that combines Markov chain Monte Carlo and importance sampling. We provide a careful theoretical analysis, including guarantees on robustness to…

Computation · Statistics 2019-09-18 Giacomo Zanella , Gareth Roberts

Identification of optimal dose combinations in early phase dose-finding trials is challenging, due to the trade-off between precisely estimating the many parameters required to flexibly model the possibly non-monotonic dose-response…

Methodology · Statistics 2024-02-13 James Willard , Shirin Golchi , Erica E. M. Moodie , Bruno Boulanger , Bradley P. Carlin

Bayesian optimization devolves the global optimization of a costly objective function to the global optimization of a sequence of acquisition functions. This inner-loop optimization can be catastrophically difficult if it involves posterior…

Machine Learning · Computer Science 2025-04-02 Taiwo A. Adebiyi , Bach Do , Ruda Zhang

Models of many real-life applications, such as queuing models of communication networks or computing systems, have a countably infinite state-space. Algorithmic and learning procedures that have been developed to produce optimal policies…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Saghar Adler , Vijay Subramanian

Portfolio optimization is a critical task in investment. Most existing portfolio optimization methods require information on the distribution of returns of the assets that make up the portfolio. However, such distribution information is…

Econometrics · Economics 2025-10-09 Masahiro Kato , Kentaro Baba , Hibiki Kaibuchi , Ryo Inokuchi

Bayesian optimization (BO) is a prominent approach to optimizing expensive-to-evaluate black-box functions. The massive computational capability of edge devices such as mobile phones, coupled with privacy concerns, has led to a surging…

Machine Learning · Computer Science 2020-10-23 Zhongxiang Dai , Kian Hsiang Low , Patrick Jaillet

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

Optimization and Control · Mathematics 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

We describe a method for Bayesian optimization by which one may incorporate data from multiple systems whose quantitative interrelationships are unknown a priori. All general (nonreal-valued) features of the systems are associated with…

Machine Learning · Computer Science 2020-01-06 Steven Atkinson , Sayan Ghosh , Natarajan Chennimalai-Kumar , Genghis Khan , Liping Wang

We present an algorithm for model-based reinforcement learning that combines Bayesian neural networks (BNNs) with random roll-outs and stochastic optimization for policy learning. The BNNs are trained by minimizing $\alpha$-divergences,…

Machine Learning · Statistics 2017-03-09 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

Bayesian modelling enables us to accommodate complex forms of data and make a comprehensive inference, but the effect of partial misspecification of the model is a concern. One approach in this setting is to modularize the model, and…

Methodology · Statistics 2026-03-18 Yang Liu , Robert J. B. Goudie
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