Results 151 to 160 of about 416,861 (348)
A fixed point theorem for distributions
AbstractWe study in a systematic form the contractive behavior of the map S of distributions to distributions S(F)=D∑iTiXi+C,(C,T=(T1,T2…)), Xi are independent r.v., L(Xi) = F. Further we show higher and exponential moments of the fixed point. Applications of this structure are given for (a) weighted branching processes, (b) the Hausdorff dimension of ...
openaire +2 more sources
Fixed Point Theorem for Monotone Non-Expansive Mappings
In this paper, we study the fixed point theorem for monotone nonexpansive mappings in the setting of a uniformly smooth and uniformly convex smooth Banach space.
Joseph Frank Gordon
doaj
Reinforcement learning for optimal control of stochastic nonlinear systems
Abstract A reinforcement learning (RL) approach is developed in this work for nonlinear systems under stochastic uncertainty. A stochastic control Lyapunov function (SCLF) candidate is first constructed using neural networks (NNs) as an approximator to the value function, and then a control policy designed using this SCLF is developed to ensure the ...
Xinji Zhu, Yujia Wang, Zhe Wu
wiley +1 more source
Existence Proof by a Fixed-Point Theorem for Solutions of the Low Equation [PDF]
Robert Warnock
openalex +1 more source
Joint Situational Assessment‐Hierarchical Decision‐Making Framework for Maneuver Intent Decisions
This study introduces a new framework for decision‐making in unmanned combat aerial vehicles (UCAVs), integrating graph convolutional networks and hierarchical reinforcement learning (HRL). The method tackles adopts a curriculum‐based training approach guided by cross‐entropy rewards.
Ruihai Chen+4 more
wiley +1 more source
The fixed point index and asymptotic fixed point theorems for $k$-set-contractions [PDF]
Roger D. Nussbaum
openalex +1 more source
Generative Inverse Design of Metamaterials with Functional Responses by Interpretable Learning
This work introduces random‐forest‐based interpretable generative inverse design (RIGID), a new single‐shot inverse design method for metamaterials using interpretable machine learning and Markov chain Monte Carlo sampling. Once trained on a small dataset, RIGID can estimate the likelihood of designs achieving target behaviors (e.g., wave‐based ...
Wei (Wayne) Chen+4 more
wiley +1 more source
We introduce a computer algorithm that incorporates the experience of battery researchers to extract information from experimental data reproducibly. This enables the fitting of complex models that take up to a few minutes to simulate. For validation, we process full‐cell GITT measurements to characterize the diffusivities of both electrodes non ...
Yannick Kuhn+3 more
wiley +1 more source
Multistable Physical Neural Networks
This article presents the integration of mechanical bistability into physical neural networks (PNNs), enabling memory retention and bridging computation with physical action. By mapping the equilibrium states of bistable, liquid‐filled chambers, it explores stability and introduces global and local training algorithms.
Ben‐Haim Eran+3 more
wiley +1 more source