Results 181 to 190 of about 189,405 (333)

Cognition–Eye–Brain Connection in Alzheimer's Disease Spectrum Revealed by Multimodal Imaging

Journal of Magnetic Resonance Imaging, EarlyView.
ABSTRACT Background The connection between cognition, eye, and brain remains inconclusive in Alzheimer's disease (AD) spectrum disorders. Purpose To explore the relationship between cognitive function, retinal biometrics, and brain alterations in the AD spectrum. Study Type Prospective.
Yan Shi, Tingting Shen, Su Yan, Jianwen Liang, Tianyunxi Wei, Yijin Huang, Rong Gao, Ning Zheng, Renpuchi Ci, Min Zhang, Xiaoying Tang, Yuanyuan Qin, Wenzhen Zhu   +12 more
wiley   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source

Algebraic Immunities of Functions over Finite Fields

, 2005
A general mathematical definition for a function from $GF(q)^n$ to $GF(q)^m$ to resist to cryptanalytic attacks is developed. It generalize the definition of Algebraic Immunity for Stream Cipher to any finite field and also Block Cipher. This algebraic immunity correspond to equations with low leading term according a monomial ordering.
Ars, Gwénolé, Faugère, Jean-Charles
openaire   +2 more sources

Extended Learning Robustness for High‐Fidelity Human Face Imaging from Spatiotemporally Decorrelated Speckles

Laser &Photonics Reviews, EarlyView.
A GAN‐based framework is proposed that tackles spatiotemporal instabilities of scattering media and addresses decorrelation between training and testing data (no overlap between their collection periods). The trained GAN non‐holographically retrieves high‐fidelity human face images from unstable scattering media and effectively addresses speckle ...
Qi Zhao, Huanhao Li, Tianting Zhong, Shengfu Cheng, Haofan Huang, Haoran Li, Jing Yao, Wenzhao Li, Chi Man Woo, Lei Gong, Yuanjin Zheng, Zhipeng Yu, Puxiang Lai   +12 more
wiley   +1 more source

Splitting unramified Brauer classes by abelian torsors and the period-index problem. [PDF]

Math Ann
Huybrechts D, Mattei D.
europepmc   +1 more source

Simple components of group algebras Q[G] central over real quadratic fields

, 1973
Toshihiko Yamada
openalex   +1 more source

Hilbert’s tenth problem for rings of algebraic functions in one variable over fields of constants of positive characteristic [PDF]

, 1992
Alexandra Shlapentokh
openalex   +1 more source

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, EarlyView.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Operator-Valued Twisted Araki-Woods Algebras. [PDF]

Commun Math Phys
Kumar RR, Wirth M.
europepmc   +1 more source

A fractional‐order trace‐dev‐div inequality

Mathematische Nachrichten, EarlyView.
Abstract The trace‐dev‐div inequality in Hs$H^s$ controls the trace in the norm of Hs$H^s$ by that of the deviatoric part plus the Hs−1$H^{s-1}$ norm of the divergence of a quadratic tensor field different from the constant unit matrix. This is well known for s=0$s=0$ and established for orders 0≤s≤1$0\le s\le 1$ and arbitrary space dimension in this ...
C. Carstensen, N. Heuer
wiley   +1 more source