Results 51 to 60 of about 225,328 (312)

Logic and operator algebras [PDF]

, 2014
The most recent wave of applications of logic to operator algebras is a young and rapidly developing field.
Farah, Ilijas
core   +1 more source

Metric Entropy of Homogeneous Spaces

, 1997
For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core   +3 more sources

In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR

Advanced Intelligent Discovery, EarlyView.
Graph‐PRefLexOR is a novel framework that enhances language models with in situ graph reasoning, symbolic abstraction, and recursive refinement. By integrating graph‐based representations into generative tasks, the approach enables interpretable, multistep reasoning.
Markus J. Buehler
wiley   +1 more source

ASyMOB: Algebraic Symbolic Mathematical Operations Benchmark

Code repository: https://github.com/RamanujanMachine/ASyMOB Complete benchmark dataset: https://huggingface.co/datasets/Shalyt/ASyMOB ...
Shalyt, Michael, Elimelech, Rotem, Kaminer, Ido   +2 more
openaire   +2 more sources

Graph Attention Neural Networks for Interpretable and Generalizable Prediction of Janus III–Vi Van Der Waals Heterostructures

Advanced Intelligent Discovery, EarlyView.
A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi, Zhao Zheng, Yinggan Zhang, Zhou Cui, Peng Lin, Cuilian Wen, Baisheng Sa, Zhimei Sun   +7 more
wiley   +1 more source

Recent Advancements in Topic Modeling Techniques for Healthcare, Bioinformatics, and Other Potential Applications

Advanced Intelligent Systems, EarlyView.
This article offers a comprehensive review of topic modeling techniques, tracing their evolution from inception to recent developments. It explores methods such as latent Dirichlet allocation, latent semantic analysis, non‐negative matrix factorization, probabilistic latent semantic analysis, Top2Vec, and BERTopic, highlighting their strengths ...
Pratima Kumari, Sachin Kadian, Mukund Vora, Pradyumna Vemuri, Sumit Kumar, Om Prakash Verma, Roger J. Narayan   +6 more
wiley   +1 more source

Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras

Mathematics of Operations Research, 2008
We study analyticity, differentiability, and semismoothness of Lowner's operator and spectral functions under the framework of Euclidean Jordan algebras.
Defeng Sun, Jie Sun
semanticscholar   +1 more source

Accurate and Efficient End‐Effector Tracking for Quadrupedal Mobile Manipulators through Coordinated Motion and Decoupled Control

Advanced Intelligent Systems, EarlyView.
This article proposes a method that combines coordinated trajectory generation with decoupled tracking control to improve end‐effector tracking accuracy for quadrupedal mobile manipulators. By leveraging whole‐body motion and modeling subsystems independently with interaction forces, the method achieves significant reductions in tracking error and ...
Kun Xu, Qikai Li, Yuhang Zhao, Jiawei Chen, Xilun Ding   +4 more
wiley   +1 more source

Notions of Infinity in Quantum Physics

, 2018
In this article we will review some notions of infiniteness that appear in Hilbert space operators and operator algebras. These include proper infiniteness, Murray von Neumann's classification into type I and type III factors and the class of F{/o} lner ...
AL Paterson, D Buchholz, D Kerr, E Bédos, F Lledó, F Lledó, F Lledó, F Lledó, G Elek, G Tomkowicz, GG Emch, H Baumgärtel, H Baumgärtel, H Baumgärtel, H Baumgärtel, H Baumgärtel, J Neumann von, J Yngvason, K Fredenhagen, M Day, M Gromov, M Keyl, M Redhead, NP Landsman, P Ara, P Ara, P Ara, P Naaijkens, R Haag, R Haag, S Doplicher, S Doplicher, S Doplicher, S Doplicher, T Ceccherini-Silberstein, V Runde, W Arveson   +36 more
core   +1 more source

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, EarlyView.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source