Minimization of the $\ell_{\infty}$ (or maximum) norm subject to a constraint that imposes consistency to an underdetermined system of linear equations finds use in a large number of practical applications, including vector quantization, approximate...
We study small perturbations of a sectional hyperbolic set of a vector field on a compact manifold. Indeed, we obtain robustly finiteness of homoclinic classes on this scenary. Moreover, since attractor and repeller sets are particular cases of homoc...
Points: 3 | Comments: 0 | Author: jmount
Yes. All images on FreeImages are free to use for personal, editorial, and commercial projects — as long as you respect the license. You must significantly modify the image if used commercially and …
Sep 21, 2020 · from scipy import stats stats.norm.rvs(size=10) will give you a vector filled with 10 standard normal variates. note that multivariate means something specific in statistics, not just IID …
The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form $τ$ on the determinant line of the cohomology. Both $τ$ and the Burghelea-Haller torsion are refinements o...
Given a positive-integer-valued vector $u=(u_1, \dots, u_m)$ with $u_1<\cdots<u_m$. A $u$-parking function of length $m$ is a sequence $π=(π_1, \dots, π_m)$ of positive integers whose non-decreasing rearrangement $(λ_1, \dots, λ_m)$ satisfies $?...
We present $H$-band scattered light imaging of a bright debris disk around the A0 star HD 36546 obtained from the Subaru Coronagraphic Extreme Adaptive Optics (SCExAO) system with data recorded by the HiCIAO camera using the vector vortex coronagraph...
Sep 21, 2020 · from scipy import stats stats.norm.rvs(size=10) will give you a vector filled with 10 standard normal variates. note that multivariate means something specific in statistics, not just IID …
Embedding-based dense retrieval has become the cornerstone of many critical applications, where approximate nearest neighbor search (ANNS) queries are often combined with filters on labels such as dates and price ranges. Graph-based indexes achieve s...
In June 1888, Oliver Heaviside received by mail an officially unpublished pamphlet, which was written and printed by the American author Willard J. Gibbs around 1881-1884. This original document is preserved in the Dibner Library of the History of Sc...
In this paper we consider so-called Google matrices and show that all eigenvalues ($λ$) of them have a fundamental property $|λ|\leq 1$. The stochastic eigenvector corresponding to $λ=1$ called the PageRank vector plays a central role in the Googl...
The steel industry has great impacts on the economy and the environment of both developed and underdeveloped countries. The importance of this industry and these impacts have led many researchers to investigate the relationship between a country's st...
A direct, bundle-theoretic method for defining and extending local isometries out of curvature data is developed. As a by-product, conceptual direct proofs of a classical result of Singer and a recent result of the authors are derived....
mod: Modulo Operator Description Modulo operator. Usage mod(n, m) modq(a, b, k) Value a numeric (integer) value or vector/matrix, resp. an integer number
Bidirectional encoder representations from transformers (BERT) is a language model introduced in October 2018 by researchers at Google. [1][2] It learns to represent text as a sequence of vectors …
Bidirectional encoder representations from transformers (BERT) is a language model introduced in October 2018 by researchers at Google. [1][2] It learns to represent text as a sequence of vectors …
The Systematic Normal Form (SysNF) is a canonical form of lattices introduced in [Eldar,Shor '16], in which the basis entries satisfy a certain co-primality condition. Using a "smooth" analysis of lattices by SysNF lattices we design a quantum algori...
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