Direct Products for the Hamiltonian Density Property. [PDF]
Andrist RB, Huang G.
europepmc +1 more source
On Parameter Space of Complex Polynomial Vector Fields in the Complex Plane [PDF]
Kealey Dias, Lei Tan
openalex +1 more source
This study provides an introduction to Bayesian optimisation targeted for experimentalists. It explains core concepts, surrogate modelling, and acquisition strategies, and addresses common real‐world challenges such as noise, constraints, mixed variables, scalability, and automation.
Chuan He +2 more
wiley +1 more source
A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]
Dana Mazraeh H +3 more
europepmc +1 more source
Multiplicity of polynomials on trajectories of polynomial vector fields in $C^3$ [PDF]
Andrei Gabrielov +2 more
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Human‐Machine Mutual Trust Based Shared Control Framework for Intelligent Vehicles
This work introduces a bidirectional‐trust‐driven shared control framework for human‐machine co‐driving. The method models human‐to‐machine trust from intention discrepancies and Bayesian skill assessment, and machine‐to‐human trust from integrated ability evaluation.
Zhishuai Yin +4 more
wiley +1 more source
On the Optimal File Size of Capacity-Achieving Byzantine-Resistant Private Information Retrieval Schemes. [PDF]
Kruglik S, Kiah HM, Dau SH, Wang H.
europepmc +1 more source
On the number of invariant conics for the polynomial vector fields defined on quadrics
Yudy Bolaños +2 more
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Polynomial entropy for the circle homeomorphisms and for $C^1$ nonvanishing vector fields on $\T^2$ [PDF]
Clémence Labrousse
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On plane polynomial vector fields and the Poincaré problem
Summary: We address the Poincaré problem, on plane polynomial vector fields, under some conditions on the nature of the singularities of invariant curves. Our main idea consists in transforming a given vector field of degree \(m\) into another one of degree at most \(m+1\) having its invariant curves in projective quasi-generic position. This allows us
openaire +3 more sources

