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Here, we show a method to reconstruct connectivity hypermatrices of a general hypergraph (without any self loop or multiple edge) using tensor. We also study the different spectral properties of these hypermatrices and find that these…

Spectral Theory · Mathematics 2017-01-24 Anirban Banerjee , Arnab Char , Bibhash Mondal

Point cloud reconstruction from raw point cloud has been an important topic in computer graphics for decades, especially due to its high demand in modeling and rendering applications. An important way to solve this problem is establishing a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Hui Tian , Kai Xu

Simulating quantum systems constructively furthers our understanding of qualitative and quantitative features which may be analytically intractable. In this letter, we directly simulate and explore the entanglement structure present in a…

Quantum Physics · Physics 2017-12-27 Eugene Dumitrescu

We present a conditional diffusion model for electromagnetic inverse design that generates structured media geometries directly from target differential scattering cross-section profiles, bypassing expensive iterative optimization. Our 1D…

Machine Learning · Computer Science 2025-11-10 Mikhail Tsukerman , Konstantin Grotov , Pavel Ginzburg

Self-attentive transformer models have recently been shown to solve the next item recommendation task very efficiently. The learned attention weights capture sequential dynamics in user behavior and generalize well. Motivated by the special…

Machine Learning · Computer Science 2022-12-13 Evgeny Frolov , Ivan Oseledets

Experimentally monitoring the kinematics of branching network growth is a tricky task, given the complexity of the structures generated in three dimensions. One option is to drive the network in such a way as to obtain two-dimensional…

Biological Physics · Physics 2024-11-26 Thibault Chassereau , Florence Chapeland-Leclerc , Eric Herbert

Single image super resolution is a very important computer vision task, with a wide range of applications. In recent years, the depth of the super-resolution model has been constantly increasing, but with a small increase in performance, it…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Xi Cheng , Xiang Li , Ying Tai , Jian Yang

This paper explores the problem of reconstructing temporally consistent surfaces from a 3D point cloud sequence without correspondence. To address this challenging task, we propose DynoSurf, an unsupervised learning framework integrating a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Yuxin Yao , Siyu Ren , Junhui Hou , Zhi Deng , Juyong Zhang , Wenping Wang

Generalizable neural surface reconstruction has become a compelling technique to reconstruct from few images without per-scene optimization, where dense 3D feature volume has proven effective as a global representation of scenes. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Aoxiang Fan , Corentin Dumery , Nicolas Talabot , Hieu Le , Pascal Fua

Binary Neural Networks (BNNs) enable efficient deep learning by saving on storage and computational costs. However, as the size of neural networks continues to grow, meeting computational requirements remains a challenge. In this work, we…

Machine Learning · Computer Science 2024-07-18 Matt Gorbett , Hossein Shirazi , Indrakshi Ray

We introduce a new general-purpose approach to deep learning on 3D surfaces, based on the insight that a simple diffusion layer is highly effective for spatial communication. The resulting networks are automatically robust to changes in…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 Nicholas Sharp , Souhaib Attaiki , Keenan Crane , Maks Ovsjanikov

We consider the discrete surface growth process with relaxation to the minimum [F. Family, J. Phys. A {\bf 19} L441, (1986).] as a possible synchronization mechanism on scale-free networks, characterized by a degree distribution $P(k) \sim…

Statistical Mechanics · Physics 2009-11-13 A. L. Pastore y Piontti , P. A. Macri , L. A. Braunstein

Chaotic time series forecasting has been far less understood despite its tremendous potential in theory and real-world applications. Traditional statistical/ML methods are inefficient to capture chaos in nonlinear dynamical systems,…

Numerical Analysis · Mathematics 2023-10-24 Xiangyi Meng , Tong Yang

Remote sensing images are frequently degraded by adverse weather conditions, particularly clouds and haze, which severely impair downstream applications. Existing restoration methods typically rely on computationally heavy architectures or…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Runci Bai , Kui Jiang , Xiang Chen , Chen Wu , Dianjie Lu , Guijuan Zhang , Zhuoran Zheng

This paper proposes to address the issue of complexity reduction for the numerical simulation of multiscale media in a quasi-periodic setting. We consider a stationary elliptic diffusion equation defined on a domain $D$ such that…

Numerical Analysis · Mathematics 2019-09-11 Quentin Ayoul-Guilmard , Anthony Nouy , Christophe Binetruy

Interacting systems of anyons pose a unique challenge to condensed matter simulations due to their non-trivial exchange statistics. These systems are of great interest as they have the potential for robust universal quantum computation, but…

Strongly Correlated Electrons · Physics 2010-10-01 Robert N. C. Pfeifer , Philippe Corboz , Oliver Buerschaper , Miguel Aguado , Matthias Troyer , Guifre Vidal

We have discussed the tensor-network representation of classical statistical or interacting quantum lattice models, and given a comprehensive introduction to the numerical methods we recently proposed for studying the tensor-network…

Strongly Correlated Electrons · Physics 2013-05-29 H. H. Zhao , Z. Y. Xie , Q. N. Chen , Z. C. Wei , J. W. Cai , T. Xiang

Currently, the area of geometric modeling and the construction of 3D models based on point clouds from laser sensors is actively developing. One of the basic tasks of geometric modeling is the reconstruction of a surface from a cloud of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-09 Marat Ildarovich Khabibulin

How to aggregate spatial information plays an essential role in learning-based image restoration. Most existing CNN-based networks adopt static convolutional kernels to encode spatial information, which cannot aggregate spatial information…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Yi Zhang , Dasong Li , Xiaoyu Shi , Dailan He , Kangning Song , Xiaogang Wang , Hongwei Qin , Hongsheng Li

We propose a straightforward method that simultaneously reconstructs the 3D facial structure and provides dense alignment. To achieve this, we design a 2D representation called UV position map which records the 3D shape of a complete face…

Computer Vision and Pattern Recognition · Computer Science 2018-03-22 Yao Feng , Fan Wu , Xiaohu Shao , Yanfeng Wang , Xi Zhou