Results 61 to 70 of about 246 (200)
A bilinear Bogolyubov-Ruzsa lemma with polylogarithmic bounds
Discrete Analysis, 2019 A bilinear Bogolyubov-Ruzsa lemma with polylogarithmic bounds, Discrete Analysis 2019:10, 14 pp. The Bogolyubov-Ruzsa lemma in additive combinatorics states that if $A$ is a subset of density $\alpha$ of $\mathbb{F}^n$, where $\mathbb{F}$ is a finite ...
Kaave Hosseini, Shachar Lovett
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$p$-Central Subspaces of Central Simple Algebras
, 2014 PhD Thesis, Bar-Ilan University. Advisor: Uzi Vishne. Initially submitted in August 2013.
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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 +7 more
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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
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Remarks on perspective simplices [PDF]
FME Transactions, 2017 The planar figure of two triangles being in perspective position is associated with a theorem of Desargues, which is responsible for the fact that the coordinate set of the plane is a field.
Weiss Gunter, Ebisui H.
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Advanced Intelligent Discovery, EarlyView.Phonons‐informed machine‐learning predictive models are propitious for reproducing thermal effects in computational materials science studies. Machine learning (ML) methods have become powerful tools for predicting material properties with near first‐principles accuracy and vastly reduced computational cost.
Pol Benítez +4 more
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BMC Medical Research MethodologyBackground Combining multiple biomarkers into a single diagnostic score can improve disease classification. However, traditional methods such as logistic regression and linear discriminant analysis depend on restrictive distributional assumptions, which ...
Hulya Ozen, Ertugrul Colak, Dogukan Ozen
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Advanced Intelligent Discovery, EarlyView.This article outlines how artificial intelligence could reshape the design of next‐generation transistors as traditional scaling reaches its limits. It discusses emerging roles of machine learning across materials selection, device modeling, and fabrication processes, and highlights hierarchical reinforcement learning as a promising framework for ...
Shoubhanik Nath +4 more
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Limit T-subspaces and the central polynomials in n variables of the Grassmann algebra
Journal of Algebra, 2012 22 ...
Gonçalves, Dimas José +2 more
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