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We propose a novel Bayesian Optimization approach for black-box functions with an environmental variable whose value determines the tradeoff between evaluation cost and the fidelity of the evaluations. Further, we use a novel approach to…

机器学习 · 统计学 2018-05-16 Mark McLeod , Michael A. Osborne , Stephen J. Roberts

A celebrated impossibility result by Myerson and Satterthwaite (1983) shows that any truthful mechanism for two-sided markets that maximizes social welfare must run a deficit, resulting in a necessity to relax welfare efficiency and the use…

计算机科学与博弈论 · 计算机科学 2024-02-20 Paul Dütting , Federico Fusco , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We consider black box optimization of an unknown function in the nonparametric Gaussian process setting when the noise in the observed function values can be heavy tailed. This is in contrast to existing literature that typically assumes…

机器学习 · 计算机科学 2019-09-17 Sayak Ray Chowdhury , Aditya Gopalan

We study the complexity of computing Bayes-Nash equilibria in single-item first-price auctions. We present the first efficient algorithms for the problem, when the bidders' values for the item are independently drawn from the same…

计算机科学与博弈论 · 计算机科学 2026-03-26 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Many cosmological models have only a finite number of parameters of interest, but a very expensive data-generating process and an intractable likelihood function. We address the problem of performing likelihood-free Bayesian inference from…

宇宙学与河外天体物理 · 物理学 2018-09-14 Florent Leclercq

We investigate the possibility of an incentive-compatible (IC, a.k.a. strategy-proof) mechanism for the classification of agents in a network according to their reviews of each other. In the $ \alpha $-classification problem we are…

计算机科学与博弈论 · 计算机科学 2019-11-21 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

Some real-world problems revolve to solve the optimization problem \max_{x\in\mathcal{X}}f\left(x\right) where f\left(.\right) is a black-box function and X might be the set of non-vectorial objects (e.g., distributions) where we can only…

机器学习 · 计算机科学 2017-09-20 Trung Le , Khanh Nguyen , Tu Dinh Nguyen , Dinh Phung

Budget feasible mechanism considers algorithmic mechanism design questions where there is a budget constraint on the total payment of the mechanism. An important question in the field is that under which valuation domains there exist budget…

计算机科学与博弈论 · 计算机科学 2012-03-23 Xiaohui Bei , Ning Chen , Nick Gravin , Pinyan Lu

Finite mixture models are ubiquitous in modern statistical modeling, and a recurring practical issue is choosing the model order. In \citet[Sankhy\=a Series A, \textbf62, pp. 49--66]{keribin2000consistent}, the Bayesian information…

统计理论 · 数学 2026-02-03 Hien Duy Nguyen , TrungTin Nguyen

Bayesian Optimization is a popular approach for optimizing expensive black-box functions. Its key idea is to use a surrogate model to approximate the objective and, importantly, quantify the associated uncertainty that allows a sequential…

机器学习 · 统计学 2025-02-05 Haoxian Chen , Henry Lam

Bayesian optimization is a powerful global optimization technique for expensive black-box functions. One of its shortcomings is that it requires auxiliary optimization of an acquisition function at each iteration. This auxiliary…

机器学习 · 统计学 2014-02-28 Ziyu Wang , Babak Shakibi , Lin Jin , Nando de Freitas

Bayesian optimization (BO) developed as an approach for the efficient optimization of expensive black-box functions without gradient information. A typical BO paper introduces a new approach and compares it to some alternatives on simulated…

统计计算 · 统计学 2023-10-17 Jiajie Kong , Tony Pourmohamad , Herbert K. H. Lee

We provide a reduction from revenue maximization to welfare maximization in multi-dimensional Bayesian auctions with arbitrary (possibly combinatorial) feasibility constraints and independent bidders with arbitrary (possibly combinatorial)…

计算机科学与博弈论 · 计算机科学 2012-07-25 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

A wide spectrum of design and decision problems, including parameter tuning, A/B testing and drug design, intrinsically are instances of black-box optimization. Bayesian optimization (BO) is a powerful tool that models and optimizes such…

机器学习 · 计算机科学 2023-02-14 Tianyi Bai , Yang Li , Yu Shen , Xinyi Zhang , Wentao Zhang , Bin Cui

Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

统计理论 · 数学 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli

Bayesian model averaging, model selection and its approximations such as BIC are generally statistically consistent, but sometimes achieve slower rates og convergence than other methods such as AIC and leave-one-out cross-validation. On the…

统计理论 · 数学 2008-09-17 Tim van Erven , Peter Grunwald , Steven de Rooij

We present an information-theoretic framework for solving global black-box optimization problems that also have black-box constraints. Of particular interest to us is to efficiently solve problems with decoupled constraints, in which…

We propose a practical Bayesian optimization method over sets, to minimize a black-box function that takes a set as a single input. Because set inputs are permutation-invariant, traditional Gaussian process-based Bayesian optimization…

机器学习 · 统计学 2021-01-26 Jungtaek Kim , Michael McCourt , Tackgeun You , Saehoon Kim , Seungjin Choi

Bayesian optimization (BO) aims to minimize a given blackbox function using a model that is updated whenever new evidence about the function becomes available. Here, we address the problem of BO under partially right-censored response data,…

人工智能 · 计算机科学 2013-10-09 Frank Hutter , Holger Hoos , Kevin Leyton-Brown

Bayesian optimization (BO) with Gaussian processes is a powerful methodology to optimize an expensive black-box function with as few function evaluations as possible. The expected improvement (EI) and probability of improvement (PI) are…

机器学习 · 计算机科学 2023-07-06 Takuya Kanazawa