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In this work, we present a novel non-rigid shape matching framework based on multi-resolution functional maps with spectral attention. Existing functional map learning methods all rely on the critical choice of the spectral resolution…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Lei Li , Nicolas Donati , Maks Ovsjanikov

Multi-Objective Optimization (MOO) is an important problem in real-world applications. However, for a non-trivial problem, no single solution exists that can optimize all the objectives simultaneously. In a typical MOO problem, the goal is…

Machine Learning · Computer Science 2024-09-17 Zhang Haishan , Diptesh Das , Koji Tsuda

Albeit worryingly underrated in the recent literature on machine learning in general (and, on deep learning in particular), multivariate density estimation is a fundamental task in many applications, at least implicitly, and still an open…

Neural and Evolutionary Computing · Computer Science 2020-12-08 Edmondo Trentin

Recent advances in deep learning for tomographic reconstructions have shown great potential to create accurate and high quality images with a considerable speed-up. In this work we present a deep neural network that is specifically designed…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Andreas Hauptmann , Felix Lucka , Marta Betcke , Nam Huynh , Jonas Adler , Ben Cox , Paul Beard , Sebastien Ourselin , Simon Arridge

We address the fundamental question of how to optimally probe a scene with electromagnetic (EM) radiation to yield a maximum amount of information relevant to a particular task. Machine learning (ML) techniques have emerged as powerful…

The most sophisticated existing methods to generate 3D isotropic super-resolution (SR) from non-isotropic electron microscopy (EM) are based on learned dictionaries. Unfortunately, none of the existing methods generate practically…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Larissa Heinrich , John A. Bogovic , Stephan Saalfeld

This paper develops a mathematical theory of super-resolution. Broadly speaking, super-resolution is the problem of recovering the fine details of an object---the high end of its spectrum---from coarse scale information only---from samples…

Information Theory · Computer Science 2012-11-15 Emmanuel Candes , Carlos Fernandez-Granda

Physics-informed neural networks (NN) are an emerging technique to improve spatial resolution and enforce physical consistency of data from physics models or satellite observations. A super-resolution (SR) technique is explored to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Chulin Wang , Eloisa Bentivegna , Wang Zhou , Levente Klein , Bruce Elmegreen

High-resolution radar range profile (RRP) is crucial for accurate target recognition and scene perception. To get a high-resolution RRP, many methods have been developed, such as multiple signal classification (MUSIC), orthogonal matching…

Signal Processing · Electrical Eng. & Systems 2025-10-21 Ziwen Wang , Jianping Wang , Pucheng Li , Zegang Ding

This paper introduces a new unsupervised method for dimensionality reduction via regression (DRR). The algorithm belongs to the family of invertible transforms that generalize Principal Component Analysis (PCA) by using curvilinear instead…

Machine Learning · Statistics 2016-02-02 Valero Laparra , Jesus Malo , Gustau Camps-Valls

The success of machine learning algorithms generally depends on data representation, and we hypothesize that this is because different representations can entangle and hide more or less the different explanatory factors of variation behind…

Machine Learning · Computer Science 2014-04-24 Yoshua Bengio , Aaron Courville , Pascal Vincent

AtomAI is an open-source software package bridging instrument-specific Python libraries, deep learning, and simulation tools into a single ecosystem. AtomAI allows direct applications of the deep convolutional neural networks for atomic and…

Data Analysis, Statistics and Probability · Physics 2022-12-29 Maxim Ziatdinov , Ayana Ghosh , Tommy Wong , Sergei V. Kalinin

The article proposes an n-dimensional mathematical model of the visual representation of a linear programming problem. This model makes it possible to use artificial neural networks to solve multidimensional linear optimization problems,…

Optimization and Control · Mathematics 2022-08-18 Nikolay A. Olkhovsky , Leonid B. Sokolinsky

We present a neural network-based simulation super-resolution framework that can efficiently and realistically enhance a facial performance produced by a low-cost, realtime physics-based simulation to a level of detail that closely…

This article presents a novel undersampled magnetic resonance imaging (MRI) technique that leverages the concept of Neural Radiance Field (NeRF). With radial undersampling, the corresponding imaging problem can be reformulated into an image…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Tae Jun Jang , Chang Min Hyun

IR or near-infrared (NIR) spectroscopy is a method used to identify a compound or to analyze the composition of a material. Calibration of NIR spectra refers to the use of the spectra as multivariate descriptors to predict concentrations of…

Neural and Evolutionary Computing · Computer Science 2015-03-19 A. Ukil , J. Bernasconi , H. Braendle , H. Buijs , S. Bonenfant

Human pose estimation - the process of recognizing human keypoints in a given image - is one of the most important tasks in computer vision and has a wide range of applications including movement diagnostics, surveillance, or self-driving…

Computer Vision and Pattern Recognition · Computer Science 2021-01-25 Trung Q. Tran , Giang V. Nguyen , Daeyoung Kim

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

High resolution Magnetic Resonance (MR) images are desired for accurate diagnostics. In practice, image resolution is restricted by factors like hardware and processing constraints. Recently, deep learning methods have been shown to produce…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Venkateswararao Cherukuri , Tiantong Guo , Steve. J. Schiff , Vishal Monga

Implicit neural representations (INRs) have gained prominence as a powerful paradigm in scene reconstruction and computer graphics, demonstrating remarkable results. By utilizing neural networks to parameterize data through implicit…

Image and Video Processing · Electrical Eng. & Systems 2023-08-01 Amirali Molaei , Amirhossein Aminimehr , Armin Tavakoli , Amirhossein Kazerouni , Bobby Azad , Reza Azad , Dorit Merhof