Results 51 to 60 of about 360 (203)
Approximate dynamic programming based on high dimensional model representation [PDF]
, 2011 summary:This article introduces an algorithm for implicit High Dimensional Model Representation (HDMR) of the Bellman equation. This approximation technique reduces memory demands of the algorithm considerably.
Pištěk, Miroslav
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding [PDF]
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental performance, was recently introduced by the third author. Experiments performed
Watanabe, Takayuki +3 more
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Weak Mean Stability in Random Holomorphic Dynamical Systems (Integrated Research on the Theory of Random Dynamical Systems) [PDF]
, 2019 (1) We introduce the notion of weak mean stability in i.i.d. random (holomorphic) 1-dimensional dynamical systems. (2) If a random holomorphic dynamical system on hat{mathb{C} is weakly mean stable, then for any xinhat{mathbb{C}}, the orbit of the Dirac ...
Sumi, Hiroki
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Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source
Ultrafast Transitions in X‐Ray Irradiated Solids
Contributions to Plasma Physics, EarlyView.ABSTRACT In this review, we present current developments on modeling ultrafast transitions in solids triggered by intense, atto‐ to femtosecond pulses from X‐ray free electron lasers. This specific irradiation regime requires dedicated simulation tools based on theoretical and computational methods, involving the elements of classical and quantum ...
Sebastião Antunes +3 more
wiley +1 more source
Biophysical processes of morphogenesis in lizard lungs
Developmental Dynamics, EarlyView.Abstract Background The lungs of squamate reptiles (lizards and snakes) are highly diverse, exhibiting single chambers, multiple chambers, transitional forms with two to three chambers, along with a suite of other anatomical features, including finger‐like epithelial projections into the body cavity known as diverticulae.
Kaleb Hill +9 more
wiley +1 more source
Relaxed Newton-like methods for stiff differential systems
Journal of Computational and Applied Mathematics, 1986 On présente le mode dans lequel les méthodes de Newton et celles analogues aux méthodes de Newton, sont utilisées pour résoudre les équations non linéaires qui apparaissent dans la solution numérique des équations différentielles stiff. Pour cela on tient compte d'une proposition du travail de \textit{P. E.
openaire +1 more source
The LORE computational method in optimal control theory [PDF]
, 1985 A number of iterative algorithms for solving unconstrained continuous-time optimal control problems is developed. The method, named LORE is modelled locally on the linear quadratic problem and treats a whole family of algorithms in a unified manner ...
Nedeljković, Nikola
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Heat Transfer, EarlyView.ABSTRACT Several engineering problems involve the need to model conjugate heat transfer processes considering the temperature‐dependence of the material properties. Consequently, a simulation tool capable of modeling this process is of great interest. In this context, the present work proposes a thermal lattice Boltzmann method (TLBM) for modeling the ...
Julia Akiko Sassa +2 more
wiley +1 more source