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This paper considers the creation of parametric surrogate models for applications in science and engineering where the goal is to predict high-dimensional spatiotemporal output quantities of interest, such as pressure, temperature and…

Computational Physics · Physics 2022-03-24 Chi Hoang , Kenny Chowdhary , Kookjin Lee , Jaideep Ray

The compressed sensing (CS) framework leverages the sparsity of MR images to reconstruct from undersampled acquisitions. CS reconstructions involve one or more regularization parameters that weigh sparsity in transform domains against…

In applications involving ordinal predictors, common approaches to reduce dimensionality are either extensions of unsupervised techniques such as principal component analysis, or variable selection procedures that rely on modeling the…

Statistics Theory · Mathematics 2017-10-13 Liliana Forzani , Rodrigo García Arancibia , Pamela Llop , Diego Tomassi

We investigate the unconstrained global optimization of functions with low effective dimensionality, that are constant along certain (unknown) linear subspaces. Extending the technique of random subspace embeddings in [Wang et al., Bayesian…

Optimization and Control · Mathematics 2020-03-24 Coralia Cartis , Adilet Otemissov

The electrocardiogram (ECG) is a well-known technique used to diagnose cardiac diseases. To acquire the spatial signal characteristics from the thorax, multiple electrodes are commonly used. Displacements of electrodes affect the signal…

Medical Physics · Physics 2021-12-15 Andra Oltmann , Roman Kusche , Philipp Rostalski

Bayesian Optimization (BO) has shown significant success in tackling expensive low-dimensional black-box optimization problems. Many optimization problems of interest are high-dimensional, and scaling BO to such settings remains an…

Machine Learning · Statistics 2022-06-02 Eric Han , Ishank Arora , Jonathan Scarlett

Random projections became popular tools to process big data. In particular, when applied to Nonnegative Matrix Factorization (NMF), it was shown that structured random projections were far more efficient than classical strategies based on…

Signal Processing · Electrical Eng. & Systems 2020-11-13 Farouk Yahaya , Matthieu Puigt , Gilles Delmaire , Gilles Roussel

Selection of perefect parameters for low-pass filters can sometimes be an expensive problem with no analytical solution or differentiability of cost function. In this paper, we introduce a new PSO-inspired algorithm, that incorporates the…

Optimization and Control · Mathematics 2024-02-20 Dmytro Shchyrba , Izabela Paniczek

We present a general and modular algorithmic framework for path planning of robots. Our framework combines geometric methods for exact and complete analysis of low-dimensional configuration spaces, together with practical, considerably…

Computational Geometry · Computer Science 2015-09-17 Oren Salzman , Michael Hemmer , Barak Raveh , Dan Halperin

Surgical robot task automation has been a promising research topic for improving surgical efficiency and quality. Learning-based methods have been recognized as an interesting paradigm and been increasingly investigated. However, existing…

Robotics · Computer Science 2024-05-30 Jiawei Fu , Yonghao Long , Kai Chen , Wang Wei , Qi Dou

Working memory (WM), denoting the information temporally stored in the mind, is a fundamental research topic in the field of human cognition. Electroencephalograph (EEG), which can monitor the electrical activity of the brain, has been…

Machine Learning · Computer Science 2024-12-03 Junfu Chen , Sirui Li , Dechang Pi

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

We present low complexity, quickly converging robust adaptive beamformers that combine robust Capon beamformer (RCB) methods and data-adaptive Krylov subspace dimensionality reduction techniques. We extend a recently proposed…

Information Theory · Computer Science 2014-02-25 S. Somasundaram , P. Li , N. Parsons , R. C. de Lamare

Reservoir computing is a neuromorphic architecture that potentially offers viable solutions to the growing energy costs of machine learning. In software-based machine learning, neural network properties and performance can be readily…

This paper proposes a randomized optimization framework for constrained signal reconstruction, where the word "constrained" implies that data-fidelity is imposed as a hard constraint instead of adding a data-fidelity term to an objective…

Optimization and Control · Mathematics 2024-06-28 Shunsuke Ono

For a nonlinear dynamical system that depends on parameters, the paper introduces a novel tensorial reduced-order model (TROM). The reduced model is projection-based, and for systems with no parameters involved, it resembles proper…

Numerical Analysis · Mathematics 2023-11-16 Alexander V. Mamonov , Maxim A. Olshanskii

We propose an adaptive quantum algorithm to prepare accurate variational time evolved wave functions. The method is based on the projected Variational Quantum Dynamics (pVQD) algorithm, that performs a global optimization with linear…

Quantum Physics · Physics 2025-02-20 David Linteau , Stefano Barison , Netanel Lindner , Giuseppe Carleo

Global optimization of black-box functions is challenging in high dimensions. We introduce a conceptual adaptive random search framework, Branching Adaptive Surrogate Search Optimization (BASSO), that combines partitioning and surrogate…

Optimization and Control · Mathematics 2025-04-28 Pariyakorn Maneekul , Zelda B. Zabinsky , Giulia Pedrielli

Designing a fast and efficient optimization method with local optima avoidance capability on a variety of optimization problems is still an open problem for many researchers. In this work, the concept of a new global optimization method…

Neural and Evolutionary Computing · Computer Science 2012-08-13 Fereydoun Farrahi Moghaddam , Reza Farrahi Moghaddam , Mohamed Cheriet

Cross-domain panoramic semantic segmentation has attracted growing interest as it enables comprehensive 360{\deg} scene understanding for real-world applications. However, it remains particularly challenging due to severe geometric Field of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yuanfan Zheng , Kunyu Peng , Xu Zheng , Kailun Yang