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Bayesian optimization (BO) based on Gaussian process models is a powerful paradigm to optimize black-box functions that are expensive to evaluate. While several BO algorithms provably converge to the global optimum of the unknown function,…

机器学习 · 统计学 2019-04-03 Felix Berkenkamp , Angela P. Schoellig , Andreas Krause

Optical molecular tomographic imaging is to reconstruct the concentration distribution of photon-molecular probes in a small animal from measured photon fluence rates. The localization and quantification of molecular probes is related to…

生物物理 · 物理学 2017-07-18 Wenxiang Cong , Xavier Intes , Ge Wang

Black-Box Optimization (BBO) methods can find optimal policies for systems that interact with complex environments with no analytical representation. As such, they are of interest in many Artificial Intelligence (AI) domains. Yet classical…

机器学习 · 计算机科学 2020-06-17 Mor Sinay , Elad Sarafian , Yoram Louzoun , Noa Agmon , Sarit Kraus

Variational inference methods for latent variable statistical models have gained popularity because they are relatively fast, can handle large data sets, and have deterministic convergence guarantees. However, in practice it is unclear…

统计方法学 · 统计学 2017-03-22 Hachem Saddiki , Andrew C. Trapp , Patrick Flaherty

Optimising the major next-generation cosmological surveys (such as {\em SNAP, KAOS etc...}) is a key problem given our ignorance of the physics underlying cosmic acceleration and the plethora of surveys planned. We propose a Bayesian design…

天体物理学 · 物理学 2009-11-10 Bruce A. Bassett

Qubit-efficient optimization studies how large combinatorial problems can be addressed with quantum circuits whose width is far smaller than the number of logical variables. In quadratic unconstrained binary optimization (QUBO), objective…

量子物理 · 物理学 2026-01-13 Gordon Ma , Dimitris G. Angelakis

There is a clear need for efficient algorithms to tune hyperparameters for statistical learning schemes, since the commonly applied search methods (such as grid search with N-fold cross-validation) are inefficient and/or approximate.…

机器学习 · 计算机科学 2020-04-07 Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

Despite all the benefits of automated hyperparameter optimization (HPO), most modern HPO algorithms are black-boxes themselves. This makes it difficult to understand the decision process which leads to the selected configuration, reduces…

机器学习 · 计算机科学 2023-02-14 Julia Moosbauer , Giuseppe Casalicchio , Marius Lindauer , Bernd Bischl

Recently it has been shown that using diffusion models for inverse problems can lead to remarkable results. However, these approaches require a closed-form expression of the degradation model and can not support complex degradations. To…

计算机视觉与模式识别 · 计算机科学 2023-06-06 Di You , Andreas Floros , Pier Luigi Dragotti

Bayesian optimization (BO) is a popular method for efficiently inferring optima of an expensive black-box function via a sequence of queries. Existing information-theoretic BO procedures aim to make queries that most reduce the uncertainty…

机器学习 · 统计学 2022-10-05 Willie Neiswanger , Lantao Yu , Shengjia Zhao , Chenlin Meng , Stefano Ermon

This study investigates the application of Bayesian Optimization (BO) for the hyperparameter tuning of neural networks, specifically targeting the enhancement of Convolutional Neural Networks (CNN) for image classification tasks. Bayesian…

机器学习 · 计算机科学 2024-10-30 Gabriele Onorato

For optimization of a sum of functions in a distributed computing environment, we present a novel communication efficient Newton-type algorithm that enjoys a variety of advantages over similar existing methods. Similar to Newton-MR, our…

最优化与控制 · 数学 2019-12-03 Rixon Crane , Fred Roosta

Photonic inverse design has emerged as an indispensable engineering tool for complex optical systems. In many instances it is important to optimize for both material and geometry configurations, which results in complex non-smooth search…

光学 · 物理学 2021-06-17 Jagrit Digani , Phillip Hon , Artur R. Davoyan

A common class of algorithms for informative path planning (IPP) follows boustrophedon ("as the ox turns") patterns, which aim to achieve uniform area coverage. However, IPP is often applied in scenarios where anomalies, such as plant…

机器人学 · 计算机科学 2025-07-10 Samuel Matloob , Ayan Dutta , O. Patrick Kreidl , Swapnonel Roy , Ladislau Bölöni

Region-of-Interest (ROI)-based image compression allocates bits unevenly according to the semantic importance of different regions. Such differentiated coding typically induces a sharp-peaked and heavy-tailed distribution. This distribution…

图像与视频处理 · 电气工程与系统科学 2026-02-03 Kai Hu , Junfu Tan , Fang Xu , Ramy Samy , Yu Liu

We study inverse optimization (IO), where the goal is to use a parametric optimization program as the hypothesis class to infer relationships between input-decision pairs. Most of the literature focuses on learning only the objective…

最优化与控制 · 数学 2025-05-22 Ke Ren , Peyman Mohajerin Esfahani , Angelos Georghiou

We consider the problem of minimizing a high-dimensional objective function, which may include a regularization term, using (possibly noisy) evaluations of the function. Such optimization is also called derivative-free, zeroth-order, or…

最优化与控制 · 数学 2023-03-20 HanQin Cai , Daniel Mckenzie , Wotao Yin , Zhenliang Zhang

Gradient flows are a powerful tool for optimizing functionals in general metric spaces, including the space of probabilities endowed with the Wasserstein metric. A typical approach to solving this optimization problem relies on its…

机器学习 · 统计学 2021-12-02 David Alvarez-Melis , Yair Schiff , Youssef Mroueh

Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum.…

机器学习 · 统计学 2011-12-07 Philipp Hennig , Christian J. Schuler

In classical inverse linear optimization, one assumes a given solution is a candidate to be optimal. Real data is imperfect and noisy, so there is no guarantee this assumption is satisfied. Inspired by regression, this paper presents a…

最优化与控制 · 数学 2017-06-23 Timothy C. Y. Chan , Taewoo Lee , Daria Terekhov