Results 11 to 20 of about 50 (50)
On cohomology of locally profinite sets
Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley +1 more source
On Multilevel Energy‐Based Fragmentation Methods
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker +2 more
wiley +1 more source
The proposed framework for ASD detection has been illustrated. The process begins with dataset collection and preprocessing, followed by feature selection and hyperparameter optimization using GSO. The optimized features are classified through an ELM classifier, yielding high accuracy, fast convergence, and low computational cost for reliable ASD ...
Vijay Govindarajan +5 more
wiley +1 more source
Canonical forms of oriented matroids
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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
The six operations in topology
Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
wiley +1 more source
Equivariant Hilbert and Ehrhart series under translative group actions
Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley +1 more source
Enumeration and Construction of Row‐Column Designs
ABSTRACT We computationally completely enumerate a number of types of row‐column designs up to isotopism, including double, sesqui, and triple arrays as known from the literature, and two newly introduced types that we call mono arrays and AO‐arrays. We calculate autotopism group sizes for the designs we generate.
Gerold Jäger +3 more
wiley +1 more source
Geometric realizations of the s‐weak order and its lattice quotients
Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
wiley +1 more source
On the one‐dimensional polynomial, regular, and regulous images of closed balls and spheres
Abstract We present a full geometric characterization of the one‐dimensional (semialgebraic) images S$S$ of either n$n$‐dimensional closed balls B¯n⊂Rn$\overline{{\mathcal {B}}}_n\subset {\mathbb {R}}^n$ or n$n$‐dimensional spheres Sn⊂Rn+1${\mathbb {S}}^n\subset {\mathbb {R}}^{n+1}$ under polynomial, regular, and regulous maps for some n⩾1$n\geqslant 1$
José F. Fernando
wiley +1 more source

