Results 91 to 100 of about 32,516 (266)
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra
, 2021 Nicolas Boullé, Alex Townsend
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Faster Linear Algebra Algorithms with Structured Random Matrices
To achieve the greatest possible speed, practitioners regularly implement randomized algorithms for low-rank approximation and least-squares regression with structured dimension reduction maps. Despite significant research effort, basic questions remain about the design and analysis of randomized linear algebra algorithms that employ structured random ...
Camaño, Chris +3 more
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A Biophysical Approach to the Design of Networks of Communication Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida +2 more
wiley +1 more source
Scalable kernel methods using randomized numerical linear algebra
, 2021 Documento de tesis de maestria ilustraciones, tablas Los métodos de kernel corresponden a un grupo de algoritmos de aprendizaje maquinal que hacen uso de una función de kernel para representar implicitamente datos en un espacio de alta dimensionalidad, donde sistemas de optimización lineal guíen a relaciones no lineales en el espacio original de los ...
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Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
wiley +1 more source
Nano Select, EarlyView.In moderately hole‐doped Sr1−xKxFe2As2${\rm Sr}_{1-x}{\rm K}_x{\rm Fe}_2{\rm As}_2$ system the pairing state is s+−${\rm s}^{+-}$ wave pairing state mediated by spin fluctuations. As the SDW order parameter increases, TC${\rm T}_C$ decreases and TM${\rm T}_M$ increases. As temperature increases, the SDW order parameter decreases and vanishes at TM${\rm
Gedefaw Mebratie +2 more
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Randomized Numerical Linear Algebra for Large-scale Matrix Data
, 2019 This dissertation is about computational tools based on randomized numerical linear algebra for handling larg-scale matrix data. Since large datasets have become commonly available in a wide variety of modern applications, there has been an increasing demand for numerical methods for storing, processing, and learning from them.
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Networks, EarlyView.ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk +2 more
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