Results 71 to 80 of about 426,444 (272)

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Revisiting random tensor models at large N via the Schwinger-Dyson equations

, 2012
The Schwinger-Dyson Equations (SDEs) of matrix models are known to form (half) a Virasoro algebra and have become a standard tool to solve matrix models.
B Eynard, EJ Martinec, J Ambjørn, J Ambjørn, J Ambjørn, J Ambjørn, L Álvarez-Gaumé, M Fukuma, M Gross, N Sasakura, P Francesco Di, R Dijkgraaf, R Gurau, R Gurau, R Gurau, R Gurau, R Gurau, R Gurau, T Banks, V Bonzom, V Bonzom, V Bonzom, V Bonzom, V Kazakov, V Rivasseau, Valentin Bonzom   +25 more
core   +1 more source

Codes of BN-algebras generated by incidence vectors

Array
In this study, the notion of a BN-valued function on a set and its related properties are investigated. We establish a code-based BN-algebra generated by incident vectors and discuss the associated generating matrix and parity-check matrix with in the ...
Gerima Tefera Dejen, Aytenew Gobeze
doaj   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Deep Learning Approaches for Classifying Crack States With Overload and Predicting Fatigue Parameters in a Titanium Alloy

Advanced Intelligent Systems, EarlyView.
This study proposes a deep learning approach to evaluate the fatigue crack behavior in metals under overload conditions. Using digital image correlation to capture the strain near crack tips, convolutional neural networks classify crack states as normal, overload, or recovery, and accurately predict fatigue parameters.
Seon Du Choi, Suman Timilsina, Youn Woo Shin, Yong Nam Kwon, Kee‐Sun Sohn, Ji Sik Kim   +5 more
wiley   +1 more source

gl3 ALGEBRA IN MIXED MATRIX REPRESENTATIONS

Acta Polytechnica
It is demonstrated that the so-called mixed realization of the gl3 algebra generators in terms of matrix differential operators in two variables, as presented by Smirnov-Turbiner (2013), can be “lifted” into the action in the Fock space associated with ...
Alexander V. Turbiner
doaj   +1 more source

On the Lie structure of locally matrix algebras

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations ...
O. Bezushchak
doaj   +1 more source

SiOx‐Based Probabilistic Bits Enabling Invertible Logic Gate for Cryptographic Applications

Advanced Intelligent Systems, EarlyView.
To enable lightweight hardware encryption and decryption, a Ti/SiOx/Ti threshold switching device is engineered to generate controllable stochastic oscillations. By tuning the input voltage, the device produces a programmable spike probability governed by intrinsic switching dynamics, enabling probabilistic bits that construct an invertible ...
Jihyun Kim, Hyeonsik Choi, Jiyong Woo
wiley   +1 more source

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

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

Derivations and automorphisms of locally matrix algebras and groups

Доповiдi Нацiональної академiї наук України
We describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description, we show that, for a countable–dimensional locally matrix algebra A over a field F, the dimension of the Lie algebra of outer derivations of ...
O.O. Bezushchak
doaj   +1 more source