Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.
Topology and data
9 Pith papers cite this work, alongside 2,306 external citations. Polarity classification is still indexing.
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Pith papers citing it
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external citations · OpenAlex
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RedZeD presents a new theoretical framework and algorithm for faster persistent homology computation on Vietoris-Rips filtrations.
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.
Manifold-adapted anisotropic radial basis functions, shaped by clustering, yield a global explicit non-intrusive reduced vector field that recovers chaotic invariant measures competitively with intrusive and neural models.
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.
Support-weighted partial recentering of maxmin seeds using halfspace depth yields consistent geometric improvement over standard maxmin in planar benchmarks while preserving thresholded H1 summaries.
Persistent homology signatures of the solid phase in synthetic porous media correlate with diffusion-release regimes even after stratifying by target porosity, and classify early-fast, late-release, and long-tail behavior with 0.64–0.76 test accuracy.
A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.
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.
citing papers explorer
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Fast Computation of Free-Support Wasserstein Medians
Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.
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RedZeD: Computing persistent homology by Reduction to Zero Differentials
RedZeD presents a new theoretical framework and algorithm for faster persistent homology computation on Vietoris-Rips filtrations.
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Quantifying displacement: an urban expansion consequence via persistent homology
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.
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Manifold-adapted radial basis functions for reduced-order modelling of chaotic flows
Manifold-adapted anisotropic radial basis functions, shaped by clustering, yield a global explicit non-intrusive reduced vector field that recovers chaotic invariant measures competitively with intrusive and neural models.
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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.
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Local Depth-Based Corrections to Maxmin Landmark Selection for Lazy Witness Persistence
Support-weighted partial recentering of maxmin seeds using halfspace depth yields consistent geometric improvement over standard maxmin in planar benchmarks while preserving thresholded H1 summaries.
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Topological Signatures of Diffusive Release in Porous Media
Persistent homology signatures of the solid phase in synthetic porous media correlate with diffusion-release regimes even after stratifying by target porosity, and classify early-fast, late-release, and long-tail behavior with 0.64–0.76 test accuracy.
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Density Evolution: A Multiscale View of Density Estimation
A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.
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From Vintage Mythology to Topological Physics: Unveiling a Universal Structural Attractor in Alcoholic Beverage Aging
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.