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The effective receptive field (ERF) plays an important role in transform coding, which determines how much redundancy can be removed during transform and how many spatial priors can be utilized to synthesize textures during inverse…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Wei Jiang , Peirong Ning , Jiayu Yang , Yongqi Zhai , Feng Gao , Ronggang Wang

We introduce a new algorithm for finding the eigenvalues and eigenvectors of Hermitian matrices within a specified region, based upon the LANSO algorithm of Parlett and Scott. It uses selective reorthogonalization to avoid the duplication…

High Energy Physics - Lattice · Physics 2015-06-12 Chris Johnson , A. D. Kennedy

We investigate lasing thresholds in a representative photonic molecule composed of two coupled active cylinders of slightly different radii. Specifically, we use the recently formulated steady-state ab initio laser theory (SALT) to assess…

Optics · Physics 2014-07-18 Denis Gagnon , Joey Dumont , Jean-Luc Déziel , Louis J. Dubé

We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in R^n. Practically all previously proposed differential transformations of LPDOs are particular cases of…

Analysis of PDEs · Mathematics 2013-10-23 Elena I. Ganzha

Linear-optical circuits are elementary building blocks for classical and quantum information processing with light. In particular, due to its monolithic structure, integrated photonics offers great phase-stability and can rely on the large…

For the Hermitian inexact Rayleigh quotient iteration (RQI), the author has established new local general convergence results, independent of iterative solvers for inner linear systems. The theory shows that the method locally converges…

Numerical Analysis · Mathematics 2015-03-17 Zhongxiao Jia

Lattice reduction (LR) is a preprocessing technique for multiple-input multiple-output (MIMO) symbol detection to achieve better bit error-rate (BER) performance. In this paper, we propose a customized homogeneous multiprocessor for LR. The…

Information Theory · Computer Science 2015-01-21 Shahriar Shahabuddin , Janne Janhunen , Amanullah Ghazi , Zaheer Khan , Markku Juntti

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is a numerical technique for solving strongly coupled QFTs, in which the full Hilbert space is truncated to a finite-dimensional low-energy subspace. The accuracy of the method is…

High Energy Physics - Theory · Physics 2017-10-25 Joan Elias-Miro , Slava Rychkov , Lorenzo G. Vitale

The total cross sections of the processes 4He(gamma,p)3H and 4He(gamma,n)3He are calculated. For these exclusive reactions we investigate the question of the giant dipole peak height, but we also consider higher energies. The calculation…

One of the crucial challenges taken in document analysis is mathematical expression recognition. Unlike text recognition which only focuses on one-dimensional structure images, mathematical expression recognition is a much more complicated…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Anh Duy Le , Van Linh Pham , Vinh Loi Ly , Nam Quan Nguyen , Huu Thang Nguyen , Tuan Anh Tran

Leaky integrate-and-fire (LIF) encoding is a model of neuron transfer function in biology that has recently attracted the attention of the signal processing and neuromorphic computing communities as a technique of event-based sampling for…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Nguyen T. Thao , Dominik Rzepka , Marek Miśkowicz

Quadratic form reduction and lattice reduction are fundamental tools in computational number theory and in computer science, especially in cryptography. The celebrated Lenstra-Lenstra-Lov\'asz reduction algorithm (so-called LLL) has been…

Data Structures and Algorithms · Computer Science 2019-05-29 Thomas Espitau , Antoine Joux

The Lippmann--Schwinger--Lanczos (LSL) algorithm has recently been shown to provide an efficient tool for imaging and direct inversion of synthetic aperture radar data in multi-scattering environments [17], where the data set is limited to…

Numerical Analysis · Mathematics 2024-07-10 V. Druskin , S. Moskow , M. Zaslavsky

Combining the linear canonical transform and the Riesz transform, we introduce the linear canonical Riesz transform (for short, LCRT), which is further proved to be a linear canonical multiplier. Using this LCRT multiplier, we conduct…

Functional Analysis · Mathematics 2025-03-17 Shuhui Yang , Zunwei Fu , Dachun Yang , Yan Lin , Zhen Li

In this paper an extension of the spectral Lanczos' tau method to systems of nonlinear integro-differential equations is proposed. This extension includes (i) linearization coefficients of orthogonal polynomials products issued from…

Numerical Analysis · Mathematics 2017-02-15 P. B. Vasconcelos , J. Matos , M. S. Trindade

The Lanczos method is one of the most powerful and fundamental techniques for solving an extremal symmetric eigenvalue problem. Convergence-based error estimates depend heavily on the eigenvalue gap. In practice, this gap is often…

Numerical Analysis · Mathematics 2020-09-17 John C. Urschel

As the quality of optical sensors improves, there is a need for processing large-scale images. In particular, the ability of devices to capture ultra-high definition (UHD) images and video places new demands on the image processing…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Tao Wang , Kaihao Zhang , Tianrun Shen , Wenhan Luo , Bjorn Stenger , Tong Lu

A novel technique based on machine learning is introduced to reconstruct the decays of highly Lorentz-boosted particles. Using an end-to-end deep learning strategy, the technique bypasses existing rule-based particle reconstruction methods…

High Energy Physics - Experiment · Physics 2023-10-04 CMS Collaboration

ALICE is a general purpose experiment dedicated to the study of nucleus-nucleus collisions at LHC. After more than 3 years of successful operation, an upgrade of the apparatus during the second long shutdown of LHC (LS2) in 2017/18 is in…

Instrumentation and Detectors · Physics 2019-08-14 Serhiy Senyukov

Lorentz transmission electron microscopy is a unique characterization technique that enables the simultaneous imaging of both the microstructure and functional properties of materials at high spatial resolution. The quantitative information…

Materials Science · Physics 2020-12-09 Tao Zhou , Mathew Cherukara , Charudatta Phatak