Results 41 to 50 of about 1,059,681 (321)
Generalizations of the double-copy: the KLT bootstrap
Journal of High Energy Physics, 2022 We formulate a new program to generalize the double-copy of tree amplitudes. The approach exploits the link between the identity element of the “KLT algebra” and the KLT kernel, and we demonstrate how this leads to a set of KLT bootstrap equations that ...
Huan-Hang Chi +4 more
doaj +1 more source
Segal-Bargmann-Fock modules of monogenic functions [PDF]
, 2017 In this paper we introduce the classical Segal-Bargmann transform starting from the basis of Hermite polynomials and extend it to Clifford algebra-valued functions. Then we apply the results to monogenic functions and prove that the Segal-Bargmann kernel
Brackx F. +12 more
core +3 more sources
Sublinear Time Numerical Linear Algebra for Structured Matrices [PDF]
AAAI Conference on Artificial Intelligence, 2019 We show how to solve a number of problems in numerical linear algebra, such as least squares regression, lp-regression for any p ≥ 1, low rank approximation, and kernel regression, in time T(A)poly(log(nd)), where for a given input matrix A ∈ Rn×d, T(A ...
Xiaofei Shi, David P. Woodruff
semanticscholar +1 more source
On the congruence kernel for simple algebraic groups [PDF]
Proceedings of the Steklov Institute of Mathematics, 2016 This paper contains several results about the structure of the congruence kernel C^(S)(G) of an absolutely almost simple simply connected algebraic group G over a global field K with respect to a set of places S of K. In particular, we show that C^(S)(G) is always trivial if S contains a generalized arithmetic progression.
Gopal Prasad, Andrei S. Rapinchuk
openaire +3 more sources
Characterization of Almost Semi-Heyting Algebra
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we initiate the discourse on the properties that hold in an almost semi-Heyting algebra but not in an semi-Heyting almost distributive lattice.
Srikanth V.V.V.S.S.P.S. +2 more
doaj +1 more source
A Study of Clustering Techniques and Hierarchical Matrix Formats for Kernel Ridge Regression [PDF]
IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum, 2018 We present memory-efficient and scalable algorithms for kernel methods used in machine learning. Using hierarchical matrix approximations for the kernel matrix the memory requirements, the number of floating point operations, and the execution time are ...
E. Rebrova +4 more
semanticscholar +1 more source
On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras [PDF]
Sahand Communications in Mathematical Analysis, 2019 We offer a new definition of $varepsilon$-orthogonality in normed spaces, and we try to explain some properties of which. Also we introduce some types of $varepsilon$-orthogonality in an arbitrary $C^ast$-algebra $mathcal{A}$, as a Hilbert $C^ast ...
Seyed Mohammad Sadegh Nabavi Sales
doaj +1 more source
Orthogonal Stochastic Duality Functions from Lie Algebra Representations [PDF]
Journal of statistical physics, 2017 We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between ∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
W. Groenevelt
semanticscholar +1 more source
On Quasi-P-Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, the concept of quasi pseudo-complementation on an Almost Distributive Lattice (ADL) as a generalization of pseudo-complementation on an ADL is introduced and its properties are studied.
Bandaru Ravi Kumar, Rao G.C.
doaj +1 more source
Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
wiley +1 more source