Results 51 to 60 of about 156,086 (209)

An Introduction to Predictive Processing Models of Perception and Decision‐Making

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar   +3 more
wiley   +1 more source

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor   +2 more
wiley   +1 more source

A Biophysical Approach to the Design of Networks of Communication Systems

open access: yesMathematical 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

Robustness Assessment of Public Transport Networks in Various Graph Representations: Systematic Review, Decision Support, and Case Study

open access: yesNetworks, 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
wiley   +1 more source

Geometry and categorification

open access: yes, 2016
We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations.
Webster, Ben
core  

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