Results 51 to 60 of about 8,458 (195)
CNN‐Transformer Hybrid Network for Efficient Performance Prediction of Metasurfaces
This paper proposes an efficient metasurface simulation method leveraging deep neural networks to mitigate the time‐consuming and resource‐intensive nature inherent in traditional numerical simulation techniques. The proposed approach harnesses convolutional neural networks (CNNs) to extract metasurface features and employs a transformer network for ...
Yutong Liang +5 more
wiley +1 more source
Pseudo-Analysis as a Tool of Information Processing
The theory of the pseudo-analysis is based on a special real semiring (called also tropical semiring). This theory enables a unified approach to three important problems as nonlinearity, uncertainty and optimization, with many applications.
Endre Pap
doaj +1 more source
CLIFFORD SEMIRINGS AND GENERALIZED CLIFFORD SEMIRINGS
It is well known that a semigroup $S$ is a Clifford semigroup if and only if $S$ is a strong semilattice of groups. In this paper, we extend this important result from semigroups to semirings by showing that a semiring $S$ is a Clifford semiring if and only if $S$ is a strong distributive lattice of skew-rings.
Sen, M. K., Maity, S. K., Shum, K. P.
openaire +2 more sources
On the dimension of polynomial semirings [PDF]
In our previous work, motivated by the study of tropical polynomials, a definition for prime congruences was given for an arbitrary commutative semiring.
Joó, Dániel, Mincheva, Kalina
core +1 more source
Finite models for positive combinatorial and exponential algebra
Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
wiley +1 more source
Moments, sums of squares, and tropicalization
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring
The summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer ...
Ali JA. Abass +3 more
doaj +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
Homotopical commutative rings and bispans
Abstract We prove that commutative semirings in a cartesian closed presentable ∞$\infty$‐category, as defined by Groth, Gepner, and Nikolaus, are equivalent to product‐preserving functors from the (2,1)‐category of bispans of finite sets. In other words, we identify the latter as the Lawvere theory for commutative semirings in the ∞$\infty$‐categorical
Bastiaan Cnossen +3 more
wiley +1 more source

