Results 81 to 90 of about 1,119,199 (236)
Optimization of Direct Convolution Algorithms on ARM Processors for Deep Learning Inference
MathematicsIn deep learning, convolutional layers typically bear the majority of the computational workload and are often the primary contributors to performance bottlenecks.
Shang Li +4 more
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Philosophical Issues, EarlyView.ABSTRACT This essay asks a new question: When someone with a firm understanding of basic operations nevertheless remains ignorant of a complex logical or mathematical truth, precisely what kind of information are they missing? I introduce “catenary truths,” a significant component of this non‐omniscient shortfall.
Michael G. Titelbaum
wiley +1 more source
Gauge theory on ρ-Minkowski space-time
Journal of High Energy PhysicsWe construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and properties of ...
Valentine Maris, Jean-Christophe Wallet
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ComputersIn this paper, we describe the associative and commutative algebra or the (2,2)-model of quaternions with application in color image enhancement. The method of alpha-rooting, which is based on the 2D quaternion discrete Fourier transform (QDFT) is ...
Artyom M. Grigoryan, Alexis A. Gomez
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Journal of Probability and Statistics, 2017 Using a simple formula for conditional expectations over continuous paths, we will evaluate conditional expectations which are types of analytic conditional Fourier-Feynman transforms and conditional convolution products of generalized cylinder functions
Dong Hyun Cho
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On the Beurling Convolution Algebra II
Tokyo Journal of Mathematics, 2003 This paper is the continuation of a previous paper of the same authors [see Tokyo J. Math. 19, No. 1, 85--98 (1996; Zbl 0892.46063)]. It extends to \({\mathbb R} ^n\) (\(n\in \mathbb N\)) some results of A. Beurling related to the 1-dimensional case in the context of convolution algebras [see \textit{A. Beurling}, Ann. Inst.
ANZAI, Kazuo +2 more
openaire +3 more sources
Topological Graph Neural Networks: A Novel Approach for Geometric Deep Learning
Applied AI Letters, Volume 7, Issue 2, June 2026.This graphical abstract illustrates the Topological Graph Neural Network (TopGNN) architecture. It demonstrates a parallel processing approach where an input graph is simultaneously analyzed by a standard GNN Encoder to capture local node features and by Persistent Homology to extract global topological features (like cycles and voids), visualized as a
Amarjeet +7 more
wiley +1 more source
Testing Hypotheses of Covariate Effects on Topics of Discourse
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 2, April 2026.ABSTRACT We introduce an approach to topic modeling with document‐level covariates that remains tractable in the face of large text corpora. This is achieved by de‐emphasizing the role of parameter estimation in an underlying probabilistic model, assuming instead that the data come from a fixed but unknown distribution whose statistical functionals are
Gabriel Phelan, David A. Campbell
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Discrepancy of arithmetic progressions in boxes and convex bodies
Mathematika, Volume 72, Issue 2, April 2026.Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
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Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source