Results 21 to 30 of about 82,268 (195)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Noncommutative Geometry and Arithmetic [PDF]

, 2010
This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
core   +1 more source

Counting and effective rigidity in algebra and geometry

, 2018
The purpose of this article is to produce effective versions of some rigidity results in algebra and geometry. On the geometric side, we focus on the spectrum of primitive geodesic lengths (resp., complex lengths) for arithmetic hyperbolic 2-manifolds ...
A Borel, A Borel, A Lubotzky, A Lubotzky, A Lubotzky, A Macbeath, A Pethő, AM Odlyzko, AS Golsefidy, AW Reid, AW Reid, B Brindza, B Datskovsky, B Linowitz, B Linowitz, B Linowitz, B Linowitz, Benjamin Linowitz, C Maclachlan, C Maclachlan, C Millichap, C Millichap, D Futer, D Goldfeld, D Goldfeld, D. B. McReynolds, DA Marcus, DB McReynolds, DB McReynolds, E Artin, E Wirsing, G Prasad, GA Margulis, GA Margulis, GH Hardy, H Cohen, H Cohen, H Cohn, H Davenport, H Delange, H Delange, H Huber, I Reiner, J Neukirch, J Tits, J-P Serre, JC Lagarias, JS Meyer, JWS Cassels, K Takeuchi, L Hajdu, Lola Thompson, M Belolipetsky, M Belolipetsky, M Belolipetsky, M Bhargava, M Burger, M Larsen, M Liebeck, M-F Vignéras, MM Wood, MS Raghunathan, P Buser, Paul Pollack, R Gangolli, RS Pierce, S Brueggeman, S Lang, S Louboutin, S Wang, T Chinburg, T Chinburg, T Chinburg, T Chinburg, T Chinburg, T Gelander, T Gelander, T Sunada, TM Apostol, V Platonov, VI Chernousov, W Rudin, WP Thurston   +82 more
core   +1 more source

Revealing Protein–Protein Interactions Using a Graph Theory‐Augmented Deep Learning Approach

Advanced Intelligent Discovery, EarlyView.
This study presents a fast, cost‐efficient approach for classifying protein–protein interactions by integrating graph‐theory parametrization with deep learning (DL). Multiscale features extracted from graph‐encoded polarized‐light microscopy (PLM) images enable accurate prediction of binding strengths.
Bahar Dadfar, Gözde Kabay, Matthias Franzreb, Kody Whisnant, Nicholas A. Kotov, Joerg Lahann   +5 more
wiley   +1 more source

Smooth Parametrizations in Dynamics, Analysis, Diophantine and Computational Geometry [PDF]

, 2014
Smooth parametrization consists in a subdivision of the mathematical objects under consideration into simple pieces, and then parametric representation of each piece, while keeping control of high order derivatives.
Yomdin, Y.
core  

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source

Tameness of holomorphic closure dimension in a semialgebraic set

, 2013
Given a semianalytic set S in a complex space and a point p in S, there is a unique smallest complex-analytic germ at p which contains the germ of S, called the holomorphic closure of S at p.
A. Boggess, D. Marker, E. Fortuna, H. Cartan, H. Grauert, J. Adamus, J. Bochnak, J. D’Angelo, Janusz Adamus, M.S Baouendi, P. Tworzewski, R. Shafikov, S. Łojasiewicz, Serge Randriambololona, Y. Peterzil   +14 more
core   +2 more sources

Advanced Investigation of the Elimination of Methylene Blue From Wastewater Using Activated Carbon–Copper Oxide Nanowires: New Perspectives With Statistical Physical Modeling

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT In this study, the actual route of methylene blue (MB) dye adsorption by using fabricated polyfunctional activated carbon–copper oxide nanowires (AC@CuO‐NWs) from bulky wastewater bodies has been investigated. To better understand the exact pathway of the adsorption process, a prominent statistical physics formalism or grand canonical ...
Abdellatif Sakly, Nizar Lefi, Mohamed Bouzid, Salah Knani, Md. Mahmudur Rahman, Besma Graba, Sivarama Krishna Lakkaboyana, Abdelmottaleb Ben Lamine   +7 more
wiley   +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, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source

Optimal model‐based design of experiments for parameter precision: Supercritical extraction case

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley   +1 more source