🕳️ Persistent Homology - matmat · Scour

RedZeD: Computing persistent homology by Reduction to Zero Differentials

🌐Computational Topology Academic

Less-relevant results

Performative prediction

🧠Machine Learning

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Quantum Walks on Simplicial Complexes and Harmonic Homology: Application to Topological Data Analysis with Superpolynomial Speedups

🕸️Algebraic Topology Academic

A Theory on Flow Matching with Neural Networks

🧠Machine Learning Academic

Symmetric Divergence and Normalized Similarity: A Unified Topological Framework for Representation Analysis

🕸️Algebraic Topology Academic

A Topological Characterization of Graph Neural Networks via Stochastic Block Model Embeddings on the n-Sphere

🌈Spectral Methods Academic

Learning Transfers: Kan Extensions for Neural Invariants

🔀Category Theory Academic

$p$-adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences

🕸️Algebraic Topology Academic

Joint stochastic localization and applications

🧮Kolmogorov Bounds Academic

Conditional Random Ordered Transport Spaces

🌀Differential Geometry Academic

An Entanglement Measure from Quantum Optimal Transport

⚛️Quantum Tape Academic

Quantifying the noise sensitivity of the Wasserstein metric for images

📊Rate-Distortion Theory Academic

Fast Cubical Persistent Homology on 2D and 3D Images via Union-Find, Pruning, and Lookup Tables

🕸️Algebraic Topology Academic

An explicit finite-memory scheme for approximating and sampling invariant measures of stochastic functional differential equations with infinite delay

📐Error Bounds Academic

Dependence Measures via Adapted Optimal Transport: Stability and Rates of Convergence

🧠Machine Learning Academic

Homology-Preserving Dimensionality Reduction via Adaptive Mapper and Landmark Isomap

📐Vector Dimensionality Academic

Vector Space of Cycles

📐Linear Algebra Academic

Wasserstein Exponential Smoothing

📈Time Series Academic

Unified formulas for conditional quantities and transportation functionals

📐Information Geometry Academic

Cone-Compatible Monge Geometry for High-Dimensional Ordered Optimal Transport

🌀Riemannian Computing Academic

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