Results 11 to 20 of about 56 (56)
Identifiability of points and rigidity of hypergraphs under algebraic constraints
Abstract The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique completability of partially‐filled tensors subject to rank conditions.
James Cruickshank +3 more
wiley +1 more source
Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
wiley +1 more source
On the Computation of Tensor Functions under Tensor‐Tensor Multiplications with Linear Maps
ABSTRACT In this paper, we study the computation of both algebraic and non‐algebraic tensor functions under the tensor‐tensor multiplication with linear maps. In the case of algebraic tensor functions, we prove that the asymptotic exponent of both the tensor‐tensor multiplication and the tensor polynomial evaluation problem under this multiplication is
Jeong‐Hoon Ju, Susana López‐Moreno
wiley +1 more source
Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley +1 more source
Fault Detection Analysis of State‐Triggered Impulsive Boolean Control Networks
Based on the hybrid‐index model, we establish a time‐domain equivalent model for state‐triggered impulsive Boolean control networks (STIBCNs). In particular, the maximum jump matrix is introduced to characterise the system dynamics within the jumping subset.
Mao Jiang +5 more
wiley +1 more source
FDA‐MIMO Range and Angle Estimation via Unitary CP Decomposition With Plug‐and‐Play Denoising
ABSTRACT This letter proposes a joint data‐model‐driven framework for range and angle estimation. By integrating a unitary CP decomposition with a plug‐and‐play deep denoiser, we develop an iterative scheme that estimates factor matrices under the physical structural constraints and denoising priors.
Qiang Liu, Zhaogui Qu, Min Chen
wiley +1 more source
The GJMS operators in geometry, analysis and physics
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley +1 more source
Financial distress prediction demands models that balance complex pattern recognition with interpretable decision logic. This study reframes the prediction task as a Boolean satisfiability (SAT) problem and introduces a hybrid neurosymbolic framework, Hopfield neural network (HNN)–RANkSATRA, that integrates HNNs with metaheuristic optimization to ...
Hamza Abubakar +3 more
wiley +1 more source
W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source

