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It is now practically the norm for data to be very high dimensional in areas such as genetics, machine vision, image analysis and many others. When analyzing such data, parametric models are often too inflexible while nonparametric…

Methodology · Statistics 2011-05-31 Abhishek Bhattacharya , Garritt Page , David Dunson

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

Methodology · Statistics 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi

Design optimisation potentially leads to lightweight aircraft structures with lower environmental impact. Due to the high number of design variables and constraints, these problems are ordinarily solved using gradient-based optimisation…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 Hauke Maathuis , Roeland De Breuker , Saullo G. P. Castro

In this letter, we propose a simple yet effective singular value decomposition (SVD) based strategy to reduce the optimization problem dimension in data-enabled predictive control (DeePC). Specifically, in the case of linear time-invariant…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Kaixiang Zhang , Yang Zheng , Chao Shang , Zhaojian Li

We introduce a new framework, Bayesian Distributionally Robust Optimization (Bayesian-DRO), for data-driven stochastic optimization where the underlying distribution is unknown. Bayesian-DRO contrasts with most of the existing DRO…

Optimization and Control · Mathematics 2023-02-10 Alexander Shapiro , Enlu Zhou , Yifan Lin

We present a very fast algorithm for general matrix factorization of a data matrix for use in the statistical analysis of high-dimensional data via latent factors. Such data are prevalent across many application areas and generate an…

The accuracy of some density functional (DF) models, widely used in material science, depends on empirical or free parameters which are commonly tuned using reference physical properties. The optimal value of the free parameters is…

Computational Physics · Physics 2020-07-01 Rodrigo A. Vargas-Hernández

We present a collection of algorithms which utilize dimensional reduction to perform mesh refinement and study possibly singular solutions of time-dependent partial differential equations. The algorithms are inspired by constructions used…

Numerical Analysis · Mathematics 2007-06-21 Panagiotis Stinis

Intensive research has been conducted on the verification and validation of deep neural networks (DNNs), aiming to understand if, and how, DNNs can be applied to safety critical applications. However, existing verification and validation…

Machine Learning · Computer Science 2021-03-08 Nicolas Berthier , Amany Alshareef , James Sharp , Sven Schewe , Xiaowei Huang

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

Feature embeddings are one of the most essential steps when training deep learning based Click-Through Rate prediction models, which map high-dimensional sparse features to dense embedding vectors. Classic human-crafted embedding size…

Information Retrieval · Computer Science 2022-08-18 Tesi Xiao , Xia Xiao , Ming Chen , Youlong Chen

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

When it comes to expensive black-box optimization problems, Bayesian Optimization (BO) is a well-known and powerful solution. Many real-world applications involve a large number of dimensions, hence scaling BO to high dimension is of much…

Machine Learning · Statistics 2024-12-18 Lam Ngo , Huong Ha , Jeffrey Chan , Hongyu Zhang

In this paper, we introduce BNN-DP, an efficient algorithmic framework for analysis of adversarial robustness of Bayesian Neural Networks (BNNs). Given a compact set of input points $T\subset \mathbb{R}^n$, BNN-DP computes lower and upper…

Machine Learning · Computer Science 2023-06-21 Steven Adams , Andrea Patane , Morteza Lahijanian , Luca Laurenti

Bayesian optimization (BO) is a popular methodology to tune the hyperparameters of expensive black-box functions. Traditionally, BO focuses on a single task at a time and is not designed to leverage information from related functions, such…

Machine Learning · Statistics 2021-04-20 David Salinas , Huibin Shen , Valerio Perrone

Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

Optimization and Control · Mathematics 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam

Bayesian optimization has recently emerged as a popular and efficient tool for global optimization and hyperparameter tuning. Currently, the established Bayesian optimization practice requires a user-defined bounding box which is assumed to…

Machine Learning · Statistics 2015-08-18 Bobak Shahriari , Alexandre Bouchard-Côté , Nando de Freitas

This paper describes an effective and efficient image classification framework nominated distributed deep representation learning model (DDRL). The aim is to strike the balance between the computational intensive deep learning approaches…

Computer Vision and Pattern Recognition · Computer Science 2016-07-05 Le Dong , Na Lv , Qianni Zhang , Shanshan Xie , Ling He , Mengdie Mao

Gradient-based dimension reduction decreases the cost of Bayesian inference and probabilistic modeling by identifying maximally informative (and informed) low-dimensional projections of the data and parameters, allowing high-dimensional…

Computation · Statistics 2025-06-02 Ricardo Baptista , Michael Brennan , Youssef Marzouk

Automated driving systems (ADS) have undergone a significant improvement in the last years. ADS and more precisely self-driving cars technologies will change the way we perceive and know the world of transportation systems in terms of user…

Machine Learning · Computer Science 2021-10-27 Alessandro Riboni , Nicolò Ghioldi , Antonio Candelieri , Matteo Borrotti