Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis 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 ...
Ren Y, Wei GW.
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Topological groupoids with involution and real algebraic stacks. [PDF]
Manuscr MathAmbrosi E, Fortman OG.
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On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation. [PDF]
PLoS OneCalvo Pascual LÁ +4 more
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Frequency-domain stability analysis of mixed traffic flow considering communication degradation and human driving heterogeneity. [PDF]
PLoS OneHan H, Li F, Hao Z, Qi L, Wei Z, Zhao C.
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Algebraic Invariants for Inferring 4-Leaf Semi-Directed Phylogenetic Networks. [PDF]
Syst BiolMartin S +3 more
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Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]
Sci RepHasan WM +4 more
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The profinite rigidity of torsion-free lamplighter groups. [PDF]
Math AnnNikolov N, Wykowski J.
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Beyond symbolic algebra with quantum picturalism. [PDF]
Front CognitDündar-Coecke S +4 more
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Exact Combinatorial Density of States for the Critical 1D Ising Model. [PDF]
Entropy (Basel)Castorene B +3 more
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Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamics. [PDF]
Sci RepDevi RA +6 more
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