Use hodge decomposition for trajectory analysis
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May 11, 2026 - Python
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hodge-laplacian
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Full spectrum sheaf neural network over arbitrary CW complexes.
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Apr 1, 2026 - Rust
Research-grade PyTorch math: differential geometry, spectral graph theory, discrete Ricci flow, simplicial topology, persistent homology, cellular sheaves, SO(3) Lie primitives, information geometry, tensor decompositions, content-addressable provenance. GPU-native, batched-first, audit-clean, cited.
pytorch simplicial-complexes differential-geometry gpu-computing lie-groups directed-graphs ricci-flow hyperbolic-geometry optimal-transport persistent-homology topological-data-analysis geometric-deep-learning ricci-curvature information-geometry cellular-sheaves graph-laplacian spectral-graph-theory mechanistic-interpretability hodge-laplacian riemannian-manifolds
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Jul 8, 2026 - Python
PETLS: Persistent Topological Laplacian Software
data-science topology algebraic-topology persistent-homology topological-data-analysis scientific-software geometric-deep-learning topological-deep-learning hodge-laplacian persistent-laplacian
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Aug 18, 2025 - C++
mlr - single-header-only C++ linear algebra math library
array quaternion alignment math-library vectors linear-algebra-library simd-library 3d-math-library quaternion-algebra aligned 3d-math-libraries 3d-vector-math hodge-laplacian levi-civita
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Nov 25, 2025 - C++
Signal processing on simplicial complexes, using basis dictionaries formed via hierarchical partitioning
simplicial-complexes spectral-clustering graph-laplacian multiscale-basis-dictionaries wavelets-on-graphs hglet ghwt hodge-laplacian discrete-integral-operators
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Oct 25, 2024 - Julia
Topology-aware ML toolkit plus preregistered graph-classification study; honest negative result, statistical harness, reproducible evidence.
machine-learning topology persistent-homology topological-data-analysis tda homology geometric-deep-learning graph-neural-networks topological-deep-learning hodge-laplacian differentiable-tda
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Jul 6, 2026 - Python
Fundamental limits of higher-order (triangle) structure identifiability from edge flows: curl-invisibility phase transition, geometry-aware whitened detector, 3/n rank obstruction. Theory validated by Monte-Carlo; CPU-only; fully reproducible; ICASSP-targeted.
reproducible-research signal-processing information-theory identifiability icassp phase-transition simplicial-complex hodge-laplacian topological-signal-processing detection-theory
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Jul 12, 2026 - Python
Operator-geometric inference of non-passive transport structure using PDE-constrained Hodge–Laplacian graph neural networks
systems-biology computational-biology partial-differential-equations topological-data-analysis biological-networks geometric-deep-learning graph-neural-networks spatial-transcriptomics tumor-microenvironment operator-theory spatial-omics hodge-laplacian physics-informed-machine-learning transport-dynamics pde-constrained-learning
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Jun 6, 2026 - Python
Lab to study harmonic finite normal form games
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Jul 15, 2026 - Python
Research UOFDT math
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Jul 20, 2025 - Python
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