Results 81 to 90 of about 18,831 (324)
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Advancing human activity recognition with quaternion-based recurrent neural networks
AutomatikaHuman activity recognition (HAR) stands as a vital nexus in the synthesis of healthcare, sports analytics, and human–computer interaction. This research introduces a groundbreaking approach to HAR by amalgamating the multidimensional strengths of ...
S. Gayathri Devi +4 more
doaj +1 more source
Linked triples of quaternion algebras [PDF]
Pacific Journal of Mathematics, 2014 Let \(F\) be a field of characteristic not \(2\). A collection \(Q_1,\ldots,Q_n\) (\(n\geq 2\)) of quaternion algebras over \(F\) is said to have a common slot if there exist \(a,b_i\in F^*\) with \(Q_i\cong (a,b_i)\), \(1\leq i\leq n\). This collection is said to be linked if any pair \(Q_i,Q_j\) has a common slot. \textit{E. Peyre} [Proc. Symp.
openaire +1 more source
Asian Journal of Control, EarlyView.Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley +1 more source
Quaternion Algebras and the Algebraic Legacy of Hamilton's Quaternions
Irish Mathematical Society Bulletin, 2006 We describe the basic definitions and fundamen- tal properties of quaternion algebras over fields and proceed to give an account of how Hamilton's 1843 discovery of the quaternions was a major turning point in the subject of al- gebra. Noncommutative algebra started here! We will em- phasize especially the theory of division algebras and other kinds of
openaire +1 more source
Risk‐aware safe reinforcement learning for control of stochastic linear systems
Asian Journal of Control, EarlyView.Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili +2 more
wiley +1 more source
A Guide to Bayesian Optimization in Bioprocess Engineering
Biotechnology and Bioengineering, EarlyView.ABSTRACT Bayesian optimization has become widely popular across various experimental sciences due to its favorable attributes: it can handle noisy data, perform well with relatively small data sets, and provide adaptive suggestions for sequential experimentation.
Maximilian Siska +5 more
wiley +1 more source
Biochemistry and Molecular Biology Education, Volume 53, Issue 2, Page 131-141, March/April 2025.Abstract In the classroom, metabolism is often approached and received as a mundane exercise in memorization. Teaching metabolism also faces the challenge of negative perceptions that can impede learning. We sought to improve the learning experience in an undergraduate lecture course on microbial metabolism by implementing an illustrated story that ...
James B. McKinlay, Katherine Kearns
wiley +1 more source
Corestrictions of algebras and splitting fields
, 2007 Given a field $F$, an \'etale extension $L/F$ and an Azumaya algebra $A/L$, one knows that there are extensions $E/F$ such that $A \otimes_F E$ is a split algebra over $L \otimes_F E$.
Krashen, Daniel
core +1 more source
Perturbation analysis of matrices over a quaternion division algebra [PDF]
, 2021 Sk. Safique Ahmad +2 more
openalex +1 more source