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Pseudoinverses are ubiquitous tools for handling over- and under-determined systems of equations. For computational efficiency, sparse pseudoinverses are desirable. Recently, sparse left and right pseudoinverses were introduced, using…

Numerical Analysis · Mathematics 2016-06-23 Victor K. Fuentes , Marcia Fampa , Jon Lee

The quantum partition function at finite temperature requires computing the trace of the imaginary time propagator. For numerical and Monte Carlo calculations, the propagator is usually split into its kinetic and potential parts. A higher…

Statistical Mechanics · Physics 2009-11-10 Siu A. Chin

We introduce and benchmark an improved algorithm for complex Langevin simulations of bosonic coherent state path integrals. Our approach utilizes a Strang splitting of the imaginary-time propagator rather than the conventional linear-order…

Quantum Gases · Physics 2026-02-18 Thomas G. Kiely , Ethan C. McGarrigle , Glenn H. Fredrickson

Classical simulators play a major role in the development and benchmark of quantum algorithms and practically any software framework for quantum computation provides the option of running the algorithms on simulators. However, the…

Quantum Physics · Physics 2022-05-04 Gian Giacomo Guerreschi

The ability to accurately estimate room impulse responses (RIRs) is integral to many applications of spatial audio processing. Regrettably, estimating the RIR using ambient signals, such as speech or music, remains a challenging problem due…

Signal Processing · Electrical Eng. & Systems 2024-03-07 David Sundström , Anton Björkman , Andreas Jakobsson , Filip Elvander

We study the thermodynamics of discrete breathers by transforming a lattice of weakly coupled nonlinear oscillators into an effective Ising pseudospin model. We introduce a replica ensemble and investigate the effective system…

Statistical Mechanics · Physics 2007-05-23 M. Eleftheriou , G. P. Tsironis

Column-sparse packing problems arise in several contexts in both deterministic and stochastic discrete optimization. We present two unifying ideas, (non-uniform) attenuation and multiple-chance algorithms, to obtain improved approximation…

Data Structures and Algorithms · Computer Science 2019-08-07 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

Spatio-temporal point process models play a central role in the analysis of spatially distributed systems in several disciplines. Yet, scalable inference remains computa- tionally challenging both due to the high resolution modelling…

Machine Learning · Statistics 2015-07-07 Botond Cseke , Andrew Zammit Mangion , Tom Heskes , Guido Sanguinetti

Compressed sensing is a relatively new mathematical paradigm that shows a small number of linear measurements are enough to efficiently reconstruct a large dimensional signal under the assumption the signal is sparse. Applications for this…

Numerical Analysis · Mathematics 2018-01-08 Lenny Fukshansky , Deanna Needell , Benny Sudakov

We derive a universal bound on the efficiency with which "dissipated" work can generate distinguishable changes in a quantum many-body state at a finite temperature, as quantified by the quantum Fisher information. The bound follows solely…

Strongly Correlated Electrons · Physics 2026-02-06 Debanjan Chowdhury

The training of modern speech processing systems often requires a large amount of simulated room impulse response (RIR) data in order to allow the systems to generalize well in real-world, reverberant environments. However, simulating…

Audio and Speech Processing · Electrical Eng. & Systems 2022-08-09 Yi Luo , Jianwei Yu

Approximate combinatorial optimization is a promising use case for quantum computers. The quantum optimization algorithms often employ a fixed ansatz that evolves an unbiased initial state towards states with better values of the optimand,…

Quantum Physics · Physics 2026-04-30 Phillip C. Lotshaw , Titus Morris , Stuart Hadfield , Ryan Bennink

Recently, advanced technologies have unlimited potential in solving various problems with a large amount of data. However, these technologies have yet to show competitive performance in brain-computer interfaces (BCIs) which deal with brain…

Artificial Intelligence · Computer Science 2022-06-20 Byeong-Hoo Lee , Jeong-Hyun Cho , Byoung-Hee Kwon , Seong-Whan Lee

This paper is devoted to the problem of sampling Gaussian fields in high dimension. Solutions exist for two specific structures of inverse covariance : sparse and circulant. The proposed approach is valid in a more general case and…

Computation · Statistics 2011-05-31 F. Orieux , O. Féron , J. -F. Giovannelli

Multivariate functions are typically governed by anisotropic features such as edges in images or shock fronts in solutions of transport-dominated equations. One major goal both for the purpose of compression as well as for an efficient…

Functional Analysis · Mathematics 2011-08-08 Gitta Kutyniok , Jakob Lemvig , Wang-Q Lim

This paper observes the application of the Compressive Sensing in reconstruction of the under-sampled iris images. Iris recognition represents form of biometric identification whose usage in real applications is growing. Compressive Sensing…

Image and Video Processing · Electrical Eng. & Systems 2019-02-11 Radoje Darmanovic , Tamara Bulatovic , Seid Salkovic

PySensors is a Python package for selecting and placing a sparse set of sensors for classification and reconstruction tasks. Specifically, PySensors implements algorithms for data-driven sparse sensor placement optimization for…

Signal Processing · Electrical Eng. & Systems 2021-03-01 Brian M. de Silva , Krithika Manohar , Emily Clark , Bingni W. Brunton , Steven L. Brunton , J. Nathan Kutz

Recovering sparse signals from linear measurements has demonstrated outstanding utility in a vast variety of real-world applications. Compressive sensing is the topic that studies the associated raised questions for the possibility of a…

Optimization and Control · Mathematics 2020-07-24 Ahmad Mousavi , Mehdi Rezaee , Ramin Ayanzadeh

In this paper, we study the problem of sparse mean estimation under adversarial corruptions, where the goal is to estimate the $k$-sparse mean of a heavy-tailed distribution from samples contaminated by adversarial noise. Existing methods…

Machine Learning · Computer Science 2025-08-26 Jianhao Ma , Rui Ray Chen , Yinghui He , Salar Fattahi , Wei Hu

We present SpM, a sparse modeling tool for the analytic continuation of imaginary-time Green's function, licensed under GNU General Public License version 3. In quantum Monte Carlo simulation, dynamic physical quantities such as…

Strongly Correlated Electrons · Physics 2019-10-02 Kazuyoshi Yoshimi , Junya Otsuki , Yuichi Motoyama , Masayuki Ohzeki , Hiroshi Shinaoka
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