Results 81 to 90 of about 88,173 (262)
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
Fixed Point Results in Modular b-Metric-like Spaces with an Application
AxiomsIn this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of ξ-convergence, ξ-Cauchy sequence, ξ-completeness and ξ-contraction.
Nizamettin Ufuk Bostan, Banu Pazar Varol
doaj +1 more source
On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems
International Journal of Differential Equations, 2014 This paper studies Volterra integral evolution equations of convolution type from the point of view of complex inversion formula and the admissibility in the Salamon-Weiss sens.
Ahmed Fadili, Hamid Bounit
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
wiley +1 more source
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
wiley +1 more source
Applying Dynamics/Cost Parameter Continuation to the Optimal Guidance of Variable‐Speed Unicycle
Optimal Control Applications and Methods, EarlyView.(a) Classical parameter continuation method diverges. (b) Dynamics/cost parameter continuation method converges. ABSTRACT The problem of a variable‐speed unicycle guidance to the stationary target is considered. The vehicle should be guided to the origin while minimizing the energy loss due to the induced drag.
Gleb Merkulov +2 more
wiley +1 more source
Data assimilation with extremum Monte Carlo methods
Quarterly Journal of the Royal Meteorological Society, EarlyView.This study presents the extremum Monte Carlo filter as a data assimilation method and, in particular, a variant of the variational approach (three‐ and four‐dimensional variational), where the state estimates are obtained by solving an optimization problem numerically over a space of prediction functions, instead of the state space itself.
Karim Moussa, Siem Jan Koopman
wiley +1 more source
Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, EarlyView.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
Rare Metals, EarlyView.ABSTRACT Achieving a simultaneous enhancement of strength and ductility remains a critical bottleneck for the large‐scale and cost‐effective engineering application of magnesium alloys. In this work, guided by first‐principles calculations, we tailored the τ‐Mg32(Al,Zn)49 phase and optimised twin boundary, thereby designing and successfully ...
Yun‐Xuan Zhou +8 more
wiley +1 more source
Quiver indices and Abelianization from Jeffrey-Kirwan residues
Journal of High Energy Physics, 2019 In quiver quantum mechanics with 4 supercharges, supersymmetric ground states are known to be in one-to-one correspondence with Dolbeault cohomology classes on the moduli space of stable quiver representations.
Guillaume Beaujard +2 more
doaj +1 more source