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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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2 results for “PL-types”

Small Triangulations of

4

-Manifolds: Introducing the

4

-Manifold Censusmath.GT

Classifies triangulated 4-manifolds up to six pentachora, finding exceptions.

problem Classifying all triangulated 4-manifolds up to a certain complexity.

method Framework to classify PL-types of triangulated 4-manifolds, using census approach.

result Findings exceptions for specific 4-manifolds, conjecturing they are standard.

4-manifolds triangulations census PL-types pentachora

2024-12-06abs ↗pdf ↗

Sinkhorn Based Associative Memory Retrieval Using Spherical Hellinger Kantorovich Dynamicsstat.ML

A new associative memory uses Sinkhorn divergence for efficient pattern retrieval.

problem Efficiently retrieving patterns from large datasets of weighted point clouds.

method Derived retrieval dynamics as a SHK gradient flow, discretized for a deterministic algorithm.

result Proved basin invariance, geometric convergence, and robust recovery from perturbations.

Sinkhorn divergence associative memory Hellinger Kantorovich barycentric transport pattern retrieval

2026-03-21abs ↗pdf ↗