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Max-infinitely divisible (max-id) processes play a central role in extreme-value theory and include the subclass of all max-stable processes. They allow for a constructive representation based on the pointwise maximum of random functions…

Methodology · Statistics 2022-03-01 Peng Zhong , Raphaël Huser , Thomas Opitz

The post-Moore era casts a shadow of uncertainty on many aspects of computer system design. Managing that uncertainty requires new algorithmic tools to make quantitative assessments. While prior uncertainty quantification methods, such as…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Zichang He , Weilong Cui , Chunfeng Cui , Timothy Sherwood , Zheng Zhang

In experimental design, we are given a large collection of vectors, each with a hidden response value that we assume derives from an underlying linear model, and we wish to pick a small subset of the vectors such that querying the…

Machine Learning · Computer Science 2019-02-05 Michał Dereziński , Kenneth L. Clarkson , Michael W. Mahoney , Manfred K. Warmuth

Quality by design in pharmaceutical manufacturing hinges on computational methods and tools that are capable of accurate quantitative prediction of the design space. This paper investigates Bayesian approaches to design space…

Explicitly or implicitly, most of dimensionality reduction methods need to determine which samples are neighbors and the similarity between the neighbors in the original highdimensional space. The projection matrix is then learned on the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Yanwei Pang , Bo Zhou , Feiping Nie

We show how random subspace methods can be adapted to estimating local projections with many controls. Random subspace methods have their roots in the machine learning literature and are implemented by averaging over regressions estimated…

Econometrics · Economics 2024-06-04 Viet Hoang Dinh , Didier Nibbering , Benjamin Wong

The widespread use of Markov Chain Monte Carlo (MCMC) methods for high-dimensional applications has motivated research into the scalability of these algorithms with respect to the dimension of the problem. Despite this, numerous problems…

Computation · Statistics 2024-10-21 Ardjen Pengel , Jun Yang , Zhou Zhou

This paper introduces a new method of partitioning the solution space of a multi-objective optimisation problem for parallel processing, called Efficient Projection Partitioning. This method projects solutions down into a single dimension,…

Optimization and Control · Mathematics 2017-11-23 William Pettersson , Melih Ozlen

In repeated Measure Designs with multiple groups, the primary purpose is to compare different groups in various aspects. For several reasons, the number of measurements and therefore the dimension of the observation vectors can depend on…

Statistics Theory · Mathematics 2022-07-20 Paavo Sattler , Markus Pauly

This paper proposes strategies for designing a system whose computational model is subject to aleatory and epistemic uncertainty. Aleatory variables, which are caused by randomness in physical parameters, are draws from a possibly unknown…

Methodology · Statistics 2026-02-18 Luis G. Crespo

Demand for high-performance, robust, and safe autonomous systems has grown substantially in recent years. These objectives motivate the desire for efficient safety-theoretic reasoning that can be embedded in core decision-making tasks such…

Robotics · Computer Science 2022-12-27 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Robust model fitting is a fundamental problem in computer vision: used to pre-process raw data in the presence of outliers. Maximisation of Consensus (MaxCon) is one of the most popular robust criteria and widely used. Recently (Tennakoon…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Erchuan Zhang , David Suter , Ruwan Tennakoon , Tat-Jun Chin , Alireza Bab-Hadiashar , Giang Truong , Syed Zulqarnain Gilani

Accurate monocular metric depth estimation (MMDE) is crucial to solving downstream tasks in 3D perception and modeling. However, the remarkable accuracy of recent MMDE methods is confined to their training domains. These methods fail to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Luigi Piccinelli , Yung-Hsu Yang , Christos Sakaridis , Mattia Segu , Siyuan Li , Luc Van Gool , Fisher Yu

We investigate the use of Minimax distances to extract in a nonparametric way the features that capture the unknown underlying patterns and structures in the data. We develop a general-purpose and computationally efficient framework to…

Machine Learning · Computer Science 2023-01-02 Morteza Haghir Chehreghani

We consider the bound-constrained global optimization of functions with low effective dimensionality, that are constant along an (unknown) linear subspace and only vary over the effective (complement) subspace. We aim to implicitly explore…

Optimization and Control · Mathematics 2020-09-23 Coralia Cartis , Estelle Massart , Adilet Otemissov

Smooth convex minimization over the unit trace-norm ball is an important optimization problem in machine learning, signal processing, statistics and other fields, that underlies many tasks in which one wishes to recover a low-rank matrix…

Optimization and Control · Mathematics 2020-12-01 Dan Garber

Extended solids are frequently simulated as finite systems with periodic boundary conditions, which due to the long-range nature of the Coulomb interaction may lead to slowly decaying finite- size errors. In the case of Quantum-Monte-Carlo…

Other Condensed Matter · Physics 2015-06-04 R. Gaudoin , I. G. Gurtubay , J. M. Pitarke

Combinatorial optimization is a fertile testing ground for statistical physics methods developed in the context of disordered systems, allowing one to confront theoretical mean field predictions with actual properties of finite dimensional…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , J. H. Boutet de Monvel , O. C. Martin

This paper contributes to the study of optimal experimental design for Bayesian inverse problems governed by partial differential equations (PDEs). We derive estimates for the parametric regularity of multivariate double integration…

Numerical Analysis · Mathematics 2026-03-31 Vesa Kaarnioja , Claudia Schillings

Construction of kinetic models has become an indispensable step in the development and scale up of processes in the industry. Model-based design of experiments (MBDoE) has been widely used for the purpose of improving parameter precision in…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Petsagkourakis , Federico Galvanin