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Designing faster optimization algorithms is of ever-growing interest. In recent years, learning to learn methods that learn how to optimize demonstrated very encouraging results. Current approaches usually do not effectively include the…

Machine Learning · Computer Science 2022-12-01 Petr Šimánek , Daniel Vašata , Pavel Kordík

We investigate the task of retrieving information from compositional distributed representations formed by Hyperdimensional Computing/Vector Symbolic Architectures and present novel techniques which achieve new information rate bounds.…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Denis Kleyko , Connor Bybee , Ping-Chen Huang , Christopher J. Kymn , Bruno A. Olshausen , E. Paxon Frady , Friedrich T. Sommer

Dictionary learning is a challenge topic in many image processing areas. The basic goal is to learn a sparse representation from an overcomplete basis set. Due to combining the advantages of generic multiscale representations with learning…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

Large statically indeterminate truss and frame structures exhibit complex load-bearing behavior, and redundancy matrices are helpful for their analysis and design. Depending on the task, the full redundancy matrix or only its diagonal…

Computational Engineering, Finance, and Science · Computer Science 2024-02-14 Anton Tkachuk , Tim Krake , Jan Gade , Malte von Scheven

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

Methodology · Statistics 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Example-based mesh deformation methods are powerful tools for realistic shape editing. However, existing techniques typically combine all the example deformation modes, which can lead to overfitting, i.e. using a overly complicated model to…

Graphics · Computer Science 2017-09-06 Lin Gao , Yu-Kun Lai , Jie Yang , Ling-Xiao Zhang , Leif Kobbelt , Shihong Xia

The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not only be suitable for a certain data set, but generally approximate the input-output behavior…

Systems and Control · Computer Science 2017-12-25 Peter Benner , Christian Himpe , Tim Mitchell

Hybrid computational schemes combining the advantages of a method of moments formulation of a field integral equation and T-matrix method are developed in this paper. The hybrid methods are particularly efficient when describing the…

Computational Physics · Physics 2021-12-03 Vit Losenicky , Lukas Jelinek , Miloslav Capek , Mats Gustafsson

Topological photonics and acoustics have recently garnered wide research interests for their topological ability to manipulate the light and sound at surfaces. Conventionally, the supercell technique is the standard approach to calculating…

Optics · Physics 2025-12-24 Yi-Xin Sha , Ming-Yao Xia , Ling Lu , Yi Yang

Source code summarization aims to generate natural language descriptions of code snippets. Many existing studies learn the syntactic and semantic knowledge of code snippets from their token sequences and Abstract Syntax Trees (ASTs). They…

Software Engineering · Computer Science 2022-03-29 Yuexiu Gao , Chen Lyu

A systematic method for determining order parameters for quantum many-body systems on lattices is developed by utilizing reduced density matrices. This method allows one to extract the order parameter directly from the wave functions of the…

Strongly Correlated Electrons · Physics 2007-05-23 Shunsuke Furukawa , Gregoire Misguich , Masaki Oshikawa

Modal synthesis methods are a long-standing approach for modelling distributed musical systems. In some cases extensions are possible in order to handle geometric nonlinearities. One such case is the high-amplitude vibration of a string,…

Sound · Computer Science 2025-05-16 Victor Zheleznov , Stefan Bilbao , Alec Wright , Simon King

The synchrosqueezing method aims at decomposing 1D functions as superpositions of a small number of "Intrinsic Modes", supposed to be well separated both in time and frequency. Based on the unidimensional wavelet transform and its…

Numerical Analysis · Mathematics 2012-11-22 Marianne Clausel , Thomas Oberlin , Valérie Perrier

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

Optimization and Control · Mathematics 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

The scattering matrix, which quantifies the optical reflection and transmission of a photonic structure, is pivotal for understanding the performance of the structure. In many photonic design tasks, it is also desired to know how the…

Optics · Physics 2020-12-30 Ziwei Zhu , Changxi Zheng

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

This paper presents scalable controller synthesis methods for heterogeneous and partially heterogeneous systems. First, heterogeneous systems composed of different subsystems that are interconnected over a directed graph are considered.…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Yvonne R. Stürz , Annika Eichler , Roy S. Smith

Recently, style transfer is a research area that attracts a lot of attention, which transfers the style of an image onto a content target. Extensive research on style transfer has aimed at speeding up processing or generating high-quality…

Computer Vision and Pattern Recognition · Computer Science 2022-05-26 Son Truong Nguyen , Nguyen Quang Tuyen , Nguyen Hong Phuc

We present a novel direction-aware feature-level frequency decomposition network for single image deraining. Compared with existing solutions, the proposed network has three compelling characteristics. First, unlike previous algorithms, we…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Sen Deng , Yidan Feng , Mingqiang Wei , Haoran Xie , Yiping Chen , Jonathan Li , Xiao-Ping Zhang , Jing Qin

Snapshot matrices built from solutions to hyperbolic partial differential equations exhibit slow decay in singular values, whereas fast decay is crucial for the success of projection- based model reduction methods. To overcome this problem,…

Numerical Analysis · Mathematics 2017-01-27 Donsub Rim , Scott Moe , Randall J. LeVeque