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An active-sensing-based learning algorithm is proposed to solve the near-field beam alignment problem with the aid of wavenumber-domain transform matrices (WTMs). Specifically, WTMs can transform the antenna-domain channel into a sparse…

Information Theory · Computer Science 2023-11-28 Hao Jiang , Zhaolin Wang , Yuanwei Liu

We propose a paradigm for interpretable Manifold Learning for scientific data analysis, whereby we parametrize a manifold with $d$ smooth functions from a scientist-provided dictionary of meaningful, domain-related functions. When such a…

Machine Learning · Computer Science 2023-02-07 Hanyu Zhang , Samson Koelle , Marina Meila

While adaptive experimental design has outgrown one-dimensional, staircase-based adaptations, most cognitive experiments still control a single factor and summarize performance with a scalar. We show a validation of a Bayesian, two-axis,…

Machine Learning · Computer Science 2025-10-02 Dom CP Marticorena , Chris Wissmann , Zeyu Lu , Dennis L Barbour

Quantitative Acoustic Microscopy (QAM) is an imaging technology utilising high frequency ultrasound to produce quantitative two-dimensional (2D) maps of acoustical and mechanical properties of biological tissue at microscopy scale.…

Image and Video Processing · Electrical Eng. & Systems 2024-09-23 Odysseas Pappas , Jonathan Mamou , Adrian Basarab , Denis Kouame , Alin Achim

This manuscript is superseded by Constantine, Dow, and Wang's "Active Subspaces in Theory and Practice: Applications to Kriging Surfaces" [SIAM J. of Sci. Comput., 36 (2014), pp. A1500-A1524]. Many multivariate functions encountered in…

Numerical Analysis · Mathematics 2014-08-26 Paul G. Constantine , Qiqi Wang

A nonlinear-manifold reduced order model (NM-ROM) is a great way of incorporating underlying physics principles into a neural network-based data-driven approach. We combine NM-ROMs with domain decomposition (DD) for efficient computation.…

Numerical Analysis · Mathematics 2023-12-04 Alejandro N. Diaz , Youngsoo Choi , Matthias Heinkenschloss

This paper presents an efficient optimization technique for gridless {2-D} line spectrum estimation, named decoupled atomic norm minimization (D-ANM). The framework of atomic norm minimization (ANM) is considered, which has been…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Zhe Zhang , Yue Wang , Zhi Tian

The recently introduced graph-accelerated non-intrusive polynomial chaos (NIPC) method has shown effectiveness in solving a broad range of uncertainty quantification (UQ) problems with multidisciplinary systems. It uses integration-based…

Computational Engineering, Finance, and Science · Computer Science 2024-05-10 Bingran Wang , Nicholas C. Orndorff , Mark Sperry , John T. Hwang

Active learning is proposed for selection of the next operating points in the design of experiments, for identifying linear parameter-varying systems. We extend existing approaches found in literature to multiple-input multiple-output…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Robert Chin , Alejandro I. Maass , Nalika Ulapane , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe , Hayato Nakada

We present the results of the application of a parameter space reduction methodology based on active subspaces (AS) to the hull hydrodynamic design problem. Several parametric deformations of an initial hull shape are considered to assess…

Numerical Analysis · Mathematics 2018-11-07 Marco Tezzele , Nicola Demo , Mahmoud Gadalla , Andrea Mola , Gianluigi Rozza

In this paper, we propose a new deep unfolding neural network based on the ADMM algorithm for analysis Compressed Sensing. The proposed network jointly learns a redundant analysis operator for sparsification and reconstructs the signal of…

Information Theory · Computer Science 2022-05-03 Vasiliki Kouni , Georgios Paraskevopoulos , Holger Rauhut , George C. Alexandropoulos

Deep AUC Maximization (DAM) is a new paradigm for learning a deep neural network by maximizing the AUC score of the model on a dataset. Most previous works of AUC maximization focus on the perspective of optimization by designing efficient…

Machine Learning · Computer Science 2021-09-09 Zhuoning Yuan , Yan Yan , Milan Sonka , Tianbao Yang

Multimodal aspect-based sentiment analysis (MABSA) aims to extract aspects from text-image pairs and recognize their sentiments. Existing methods make great efforts to align the whole image to corresponding aspects. However, different…

Computation and Language · Computer Science 2023-06-05 Ru Zhou , Wenya Guo , Xumeng Liu , Shenglong Yu , Ying Zhang , Xiaojie Yuan

Deep learning models, in particular \textit{image} models, have recently gained generalisability and robustness. %are becoming more general and robust by the day. In this work, we propose to exploit such advances in the realm of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Tanay Agrawal , Abid Ali , Antitza Dantcheva , Francois Bremond

Active visual exploration addresses the issue of limited sensor capabilities in real-world scenarios, where successive observations are actively chosen based on the environment. To tackle this problem, we introduce a new technique called…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Adam Pardyl , Grzegorz Rypeść , Grzegorz Kurzejamski , Bartosz Zieliński , Tomasz Trzciński

In this paper, a new take on the concept of an active subspace for reducing the dimension of the design parameter space in a multidisciplinary analysis and optimization (MDAO) problem is proposed. The new approach is intertwined with the…

Numerical Analysis · Mathematics 2020-07-01 Gabriele Boncoraglio , Charbel Farhat , Charbel Bou-Mosleh

In Functional Data Analysis, data are commonly assumed to be smooth functions on a fixed interval of the real line. In this work, we introduce a comprehensive framework for the analysis of functional data, whose domain is a two-dimensional…

Methodology · Statistics 2019-08-02 Eardi Lila , John A. D. Aston

Purpose: To develop a deep learning method on a nonlinear manifold to explore the temporal redundancy of dynamic signals to reconstruct cardiac MRI data from highly undersampled measurements. Methods: Cardiac MR image reconstruction is…

Image and Video Processing · Electrical Eng. & Systems 2021-04-05 Ziwen Ke , Zhuo-Xu Cui , Wenqi Huang , Jing Cheng , Sen Jia , Haifeng Wang , Xin Liu , Hairong Zheng , Leslie Ying , Yanjie Zhu , Dong Liang

In situations where the solution of a high-fidelity dynamical system needs to be evaluated repeatedly, over a vast pool of parametric configurations and in absence of access to the underlying governing equations, data-driven model reduction…

Numerical Analysis · Mathematics 2025-06-27 Harshit Kapadia , Peter Benner , Lihong Feng

This paper proposes an active learning (AL) algorithm to solve regression problems based on inverse-distance weighting functions for selecting the feature vectors to query. The algorithm has the following features: (i) supports both…

Machine Learning · Computer Science 2022-12-15 Alberto Bemporad