A refined laser method and faster matrix multiplication

J Alman, VV Williams - TheoretiCS, 2024 - theoretics.episciences.org
The complexity of matrix multiplication is measured in terms of 𝜔, the smallest real number
such that two 𝑛× 𝑛 matrices can be multiplied using 𝑂 (𝑛 𝜔+ 𝜖) field operations for all 𝜖> 0; …

Constant delay enumeration for conjunctive queries: a tutorial

C Berkholz, F Gerhardt, N Schweikardt - ACM SIGLOG News, 2020 - dl.acm.org
Constant delay enumeration for conjunctive queries Page 1 Constant Delay Enumeration for
Conjunctive Queries — a Tutorial Christoph Berkholz Fabian Gerhardt Nicole Schweikardt …

Adaptive ultrasound beamforming using deep learning

B Luijten, R Cohen, FJ De Bruijn… - … on Medical Imaging, 2020 - ieeexplore.ieee.org
Biomedical imaging is unequivocally dependent on the ability to reconstruct interpretable
and high-quality images from acquired sensor data. This reconstruction process is pivotal …

[图书][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Arithmetic circuits: A survey of recent results and open questions

A Shpilka, A Yehudayoff - Foundations and Trends® in …, 2010 - nowpublishers.com
A large class of problems in symbolic computation can be expressed as the task of
computing some polynomials; and arithmetic circuits form the most standard model for …

[HTML][HTML] Ultrasound signal processing: from models to deep learning

B Luijten, N Chennakeshava, YC Eldar… - Ultrasound in medicine …, 2023 - Elsevier
Medical ultrasound imaging relies heavily on high-quality signal processing to provide
reliable and interpretable image reconstructions. Conventionally, reconstruction algorithms …

Communication-optimal parallel and sequential QR and LU factorizations

J Demmel, L Grigori, M Hoemmen, J Langou - SIAM Journal on Scientific …, 2012 - SIAM
We present parallel and sequential dense QR factorization algorithms that are both optimal
(up to polylogarithmic factors) in the amount of communication they perform and just as …

Scalable and compact photonic neural chip with low learning-capability-loss

Y Tian, Y Zhao, S Liu, Q Li, W Wang, J Feng, J Guo - Nanophotonics, 2022 - degruyter.com
Photonic computation has garnered huge attention due to its great potential to accelerate
artificial neural network tasks at much higher clock rate to digital electronic alternatives …

Fast sparse matrix multiplication

R Yuster, U Zwick - ACM Transactions On Algorithms (TALG), 2005 - dl.acm.org
Let A and B two n× n matrices over a ring R (eg, the reals or the integers) each containing at
most m nonzero elements. We present a new algorithm that multiplies A and B using O (m …

Fast linear algebra is stable

J Demmel, I Dumitriu, O Holtz - Numerische Mathematik, 2007 - Springer
Abstract In Demmel et al.(Numer. Math. 106 (2), 199–224, 2007) we showed that a large
class of fast recursive matrix multiplication algorithms is stable in a normwise sense, and that …