Persistent homology on spatio-temporal cubical complexes from address records quantifies urban population displacement and identifies affected neighborhoods and years in a Madrid case study.
Barcodes: the persistent topology of data
5 Pith papers cite this work. Polarity classification is still indexing.
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RG-inspired lattice models for piecewise GLMs provide explicit interpretable partitions and a replica-analysis-derived scaling law for regularization that allows increasing complexity without expected rise in generalization loss.
Hybrid models that add persistent-homology features from fixation time series to traditional statistical features outperform purely statistical baselines for dyslexia detection on the Copenhagen Corpus.
Develops generator-agnostic audits for combinatorial uniformity on the hypersimplex using marginal chi-square, pair maxima, serial overlap, anchored-box discrepancy and low-dimensional geometry, with a finite-witness guarantee.
Persistent homology analysis of Baijiu reveals a three-stage maturation pathway converging to a universal topological attractor that defines optimal aging independent of chronological time.
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Fixation Sequences as Time Series: A Topological Approach to Dyslexia Detection
Hybrid models that add persistent-homology features from fixation time series to traditional statistical features outperform purely statistical baselines for dyslexia detection on the Copenhagen Corpus.