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In practical optimisation the dominant characteristics of the problem are often not known prior. Therefore, there is a need to develop general solvers as it is not always possible to tailor a specialised approach to each application. The…

神经与进化计算 · 计算机科学 2021-04-23 P. A. Grudniewski , A. J. Sobey

Generative diffusion models have recently emerged as a powerful strategy to perform stochastic sampling in Bayesian inverse problems, delivering remarkably accurate solutions for a wide range of challenging applications. However, diffusion…

统计计算 · 统计学 2025-05-15 Abdul-Lateef Haji-Ali , Marcelo Pereyra , Luke Shaw , Konstantinos Zygalakis

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

The goal of Bayesian deep learning is to provide uncertainty quantification via the posterior distribution. However, exact inference over the weight space is computationally intractable due to the ultra-high dimensions of the neural…

机器学习 · 计算机科学 2022-10-25 Xiongwen Ke , Yanan Fan

We combine two popular optimization approaches to derive learning algorithms for generative models: variational optimization and evolutionary algorithms. The combination is realized for generative models with discrete latents by using…

机器学习 · 统计学 2022-02-07 Jakob Drefs , Enrico Guiraud , Jörg Lücke

When dealing with datasets containing a billion instances or with simulations that require a supercomputer to execute, computational resources become part of the equation. We can improve the efficiency of learning and inference by…

机器学习 · 计算机科学 2014-03-06 Max Welling

High-dimensional problems have long been considered the Achilles' heel of Bayesian optimization algorithms. Spurred by the curse of dimensionality, a large collection of algorithms aim to make it more performant in this setting, commonly by…

机器学习 · 计算机科学 2024-12-13 Carl Hvarfner , Erik Orm Hellsten , Luigi Nardi

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Evolutionary computation techniques have mostly been used to solve various optimization and learning problems successfully. Evolutionary algorithm is more effective to gain optimal solution(s) to solve complex problems than traditional…

神经与进化计算 · 计算机科学 2013-03-05 Moslema Jahan , M. M. A. Hashem , Gazi Abdullah Shahriar

Spatial optimization is often overlooked in many computer vision tasks. Filters should be able to recognize the features of an object regardless of where it is in the image. Similarity search is a crucial task where spatial features decide…

计算机视觉与模式识别 · 计算机科学 2024-04-11 Md. Farhadul Islam , Md. Tanzim Reza , Meem Arafat Manab , Mohammad Rakibul Hasan Mahin , Sarah Zabeen , Jannatun Noor

Convolutional neural networks often dominate fully-connected counterparts in generalization performance, especially on image classification tasks. This is often explained in terms of 'better inductive bias'. However, this has not been made…

机器学习 · 计算机科学 2021-05-05 Zhiyuan Li , Yi Zhang , Sanjeev Arora

Bandit based optimisation has a remarkable advantage over gradient based approaches due to their global perspective, which eliminates the danger of getting stuck at local optima. However, for continuous optimisation problems or problems…

人工智能 · 计算机科学 2017-05-30 Ole-Christoffer Granmo

This paper is devoted to the problem of sampling Gaussian fields in high dimension. Solutions exist for two specific structures of inverse covariance : sparse and circulant. The proposed approach is valid in a more general case and…

统计计算 · 统计学 2011-05-31 F. Orieux , O. Féron , J. -F. Giovannelli

The application of the lasso is espoused in high-dimensional settings where only a small number of the regression coefficients are believed to be nonzero. Moreover, statistical properties of high-dimensional lasso estimators are often…

统计方法学 · 统计学 2015-01-07 Bala Rajaratnam , Steven Roberts , Doug Sparks , Onkar Dalal

Bayesian optimization is an advanced tool to perform ecient global optimization It consists on enriching iteratively surrogate Kriging models of the objective and the constraints both supposed to be computationally expensive of the targeted…

Hyperparameter optimisation is a crucial process in searching the optimal machine learning model. The efficiency of finding the optimal hyperparameter settings has been a big concern in recent researches since the optimisation process could…

机器学习 · 计算机科学 2020-09-15 Yuxi Huan , Fan Wu , Michail Basios , Leslie Kanthan , Lingbo Li , Baowen Xu

Genetic algorithms have been widely used in many practical optimization problems. Inspired by natural selection, operators, including mutation, crossover and selection, provide effective heuristics for search and black-box optimization.…

机器学习 · 统计学 2018-03-14 Tanmay Gangwani , Jian Peng

The optimization of high-dimensional black-box functions is a challenging problem. When a low-dimensional linear embedding structure can be assumed, existing Bayesian optimization (BO) methods often transform the original problem into…

机器学习 · 统计学 2022-11-03 Shuhei A. Horiguchi , Tomoharu Iwata , Taku Tsuzuki , Yosuke Ozawa

Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

机器学习 · 统计学 2025-11-18 Debashis Chatterjee

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

神经与进化计算 · 计算机科学 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez
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