Results 21 to 30 of about 8,171,715 (369)
$S$-constrained random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 Let $S$ be a set of $d$-dimensional row vectors with entries in a $q$-ary alphabet. A matrix $M$ with entries in the same $q$-ary alphabet is $S$-constrained if every set of $d$ columns of $M$ contains as a submatrix a copy of the vectors in $S$, up to ...
Sylvain Gravier, Bernard Ycart
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Random Matrix Methods for Machine Learning
, 2022 This book presents a unified theory of random matrices for applications in machine learning, offering a large-dimensional data vision that exploits concentration and universality phenomena. This enables a precise understanding, and possible improvements,
Romain Couillet, Zhenyu Liao
semanticscholar +1 more source
Extended Object Tracking with Embedded Classification
Sensors, 2022 This paper proposes a novel extended object tracking (EOT) approach with embedded classification. Traditionally, for extended objects, only tracking is addressed without considering classification.
Wen Cao, Qiwei Li
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Nonconventional random matrix products [PDF]
Electronic Communications in Probability, 2018 Let $ _1, _2,...$ be independent identically distributed random variables and $F:\bbR^\ell\to SL_d(\bbR)$ be a Borel measurable matrix-valued function.
Kifer, Y, SODIN, A
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A random matrix analysis of random Fourier features: beyond the Gaussian kernel, a precise phase transition, and the corresponding double descent [PDF]
Neural Information Processing Systems, 2020 This article characterizes the exact asymptotics of random Fourier feature (RFF) regression, in the realistic setting where the number of data samples n, their dimension p, and the dimension of feature space N are all large and comparable. In this regime,
Zhenyu Liao +2 more
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Random Perturbations of Matrix Polynomials [PDF]
Journal of Theoretical Probability, 2020 AbstractA sum of a large-dimensional random matrix polynomial and a fixed low-rank matrix polynomial is considered. The main assumption is that the resolvent of the random polynomial converges to some deterministic limit. A formula for the limit of the resolvent of the sum is derived, and the eigenvalues are localised.
Patryk Pagacz, Michał Wojtylak
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A random matrix approach to the Peterson-Thom conjecture [PDF]
Indiana University Mathematics Journal, 2020 The Peterson-Thom conjecture asserts that any diffuse, amenable subalgebra of a free group factor is contained in a unique maximal amenable subalgebra.
Ben Hayes
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JT gravity and the ensembles of random matrix theory [PDF]
Advances in Theoretical and Mathematical Physics, 2019 We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions with or without supersymmetry.
D. Stanford, E. Witten
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Test of the Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory.
Physical Review Letters, 2021 We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally interacting quantum many-body systems. Introducing random matrix ensembles with interactions, we numerically obtain a distribution of maximum fluctuations of ...
Shoki Sugimoto +2 more
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Towards long double-stranded chains and robust DNA-based data storage using the random code system
Frontiers in Genetics, 2023 DNA has become a popular choice for next-generation storage media due to its high storage density and stability. As the storage medium of life’s information, DNA has significant storage capacity and low-cost, low-power replication and transcription ...
Xu Yang +5 more
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