Results 31 to 40 of about 1,100,887 (279)
Positive Definite Kernels in Machine Learning [PDF]
, 2009 This survey is an introduction to positive definite kernels and the set of methods they have inspired in the machine learning literature, namely kernel methods.
Cuturi, Marco
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT The Clinical Assessment Scale in Autoimmune Encephalitis (CASE) tracks disease severity in autoimmune encephalitis (AE), but no threshold for significant change exists. We aimed to determine the minimally clinically important difference (MCID) for CASE.
Yihui Goh +8 more
wiley +1 more source
Journal of Inequalities and Applications, 2019 Inspired by symmetric Cauchy tensors, we define fourth-order partially symmetric Cauchy tensors with their generating vectors. In this article, we focus on the necessary and sufficient conditions for the M-positive semi-definiteness and M-positive ...
Haitao Che, Haibin Chen, Yiju Wang
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Decomposition of Gaussian processes, and factorization of positive definite kernels [PDF]
Opuscula Mathematica, 2019 We establish a duality for two factorization questions, one for general positive definite (p.d.) kernels \(K\), and the other for Gaussian processes, say \(V\). The latter notion, for Gaussian processes is stated via Ito-integration.
Palle Jorgensen, Feng Tian
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Products of positive definite matrices. II [PDF]
Pacific Journal of Mathematics, 1967 I. The author gives, for every positive integer \(j\), necessary and sufficient conditions for a \(2\times 2\) real matrix (with positive determinant) to be a product of \(j\) positive definite real symmetric matrices (if \(j\ge 5\), every real matrix with positive determinant can be written as such a product).
openaire +6 more sources
Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
wiley +1 more source
Even-Order Pascal Tensors Are Positive-Definite
MathematicsIn this paper, we show that even-order Pascal tensors are positive-definite, and odd-order Pascal tensors are strongly completely positive. The significance of these is that our induction proof method also holds for some other families of completely ...
Chunfeng Cui, Liqun Qi, Yannan Chen
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Positive Definite Operator Functions and Sesquilinear Forms [PDF]
, 2014 Due to the fundamental works of T. Ando, W. Szyma\'nski, F. H. Szafraniec, and many others it is well known that sesquilinear forms play an important role in dilation theory.
Titkos, Tamás
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Strictly positive definite functions on compact abelian groups
, 2010 We study the Fourier characterisation of strictly positive definite functions on compact abelian groups. Our main result settles the case $G = F \times \mathbb{T}^r$, with $r \in \mathbb{N}$ and $F$ finite.
Emonds, Jan, Fuehr, Hartmut
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Arthritis Care &Research, EarlyView.Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier +12 more
wiley +1 more source