Results 111 to 120 of about 385,070 (322)
A trust‐region funnel algorithm for gray‐box optimization
AIChE Journal, EarlyView.Abstract Gray‐box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black‐box models lacking analytic derivatives, remains a challenge. Trust‐region (TR) methods provide a robust framework for gray‐box problems through local reduced models (RMs) for black‐box components, but they are ...
Gul Hameed +4 more
wiley +1 more source
Construction of highly nonlinear Boolean functions with four-valued and five-valued spectra
Tongxin xuebaoBoolean functions with four-valued and five-valued spectra are of special interest for cryptography applications. By modifying bent functions in the Maiorana-McFarland class, a construction of Boolean functions on even numbers of variables with four ...
GUO Fei, WANG Zilong, DUAN Ming
doaj
AIChE Journal, EarlyView.Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur +3 more
wiley +1 more source
The algebraic degree of coupled oscillators
Advances in MathematicsApproximating periodic solutions to the coupled Duffing equations amounts to solving a system of polynomial equations. The number of complex solutions measures the algebraic complexity of this approximation problem. Using the theory of Khovanskii bases, we show that this number is given by the volume of a certain polytope.
Breiding, Paul +3 more
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AIChE Journal, EarlyView.Abstract Bayesian estimation enables uncertainty quantification, but analytical implementation is often intractable. As an approximate approach, the Markov Chain Monte Carlo (MCMC) method is widely used, though it entails a high computational cost due to frequent evaluations of the likelihood function.
Tatsuki Maruchi +2 more
wiley +1 more source
Definition of complex roots of the fourth degree algebraic equation
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 The calculating algorithm of the real part of the complex roots of equations on the basis of brief equivalent equations with coefficients in the form of roots' sums and products is proposed.
V. M. Ilyin
doaj
Similarity degree of Fourier algebras
Journal of Functional Analysis, 2016 We show that for a locally compact group $G$, amongst a class which contains amenable and small invariant neighbourhood groups, that its Fourier algebra $A(G)$ satisfies a completely bounded version Pisier's similarity property with similarity degree at most $2$. Specifically, any completely bounded homomorphism $ : A(G)\to B(H)$ admits an invertible $
Hun Hee Lee, Ebrahim Samei, Nico Spronk
openaire +2 more sources
Division algebras of prime degree with infinite genus [PDF]
, 2014 Sergey V. Tikhonov
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$\mathscr A$-generators for the polynomial algebra of five variables in degree $5(2^t - 1) + 6.2^t$
, 2021 Đặng Võ Phúc
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AI in chemical engineering: From promise to practice
AIChE Journal, EarlyView.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
wiley +1 more source