graph-laplacian

Rust + WASM sublinear-time solver for asymmetric diagonally dominant systems. Exposes Neumann series, push, and hybrid random-walk algorithms with npm/npx CLI and Flow-Nexus HTTP streaming for swarm cost propagation and verification.

MultiscaleGraphSignalTransforms.jl is a collection of software tools written in the Julia programming language for graph signal processing including HGLET, GHWT, eGHWT, NGWP, Lapped NGWP, and Lapped HGLET. Some of them were originally written in MATLAB by Jeff Irion, but we added more functionalities, e.g., eGHWT, NGWP, etc.

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.

Brain-like persistent memory for AI agents. Hybrid search, knowledge graph, sleep-consolidation lifecycle, expert routing (HMoE), and a graph-Laplacian diffusion subsystem driving decay, consolidation, auto-link, and spectral retrieval. 65 MCP tools. Local, no cloud.

Project that explores parallel preconditioned conjugate gradient method

Spectral graph-augmented retrieval for RAG. Augments dense vector search with a weighted chunk graph and its Laplacian spectrum, graph expansion, spectral diffusion, and cluster-aware selection, to retrieve context that is jointly relevant, non-redundant, and connected for multi-hop reasoning.

A tool for generating, visualizing, and manipulating graphs with a focus on optimizing algebraic connectivity through Laplacian eigenvector-based augmentation thereby exploring what makes a graph or network connected.

Keep the angle, drop the magnitude — when the magnitude is nuisance for the metric being preserved. The angular coordinates of the low-mode Laplacian eigen-embedding carry graph geodesic structure; the radial coordinate is asymptotically degree/density. Gives Ng–Jordan–Weiss row-normalization a geodesic justification.

This repo contains the codes, images, report and slides for the project of the course - MTH552A: Statistical & AI Techniques In Data Mining at IIT Kanpur during the academic year 2022-2023.

This repository contains community detection and sentiment analysis created in the sentiment analysis part of the web intelligence (Software, MSc.) course at AAU.

Signal processing on simplicial complexes, using basis dictionaries formed via hierarchical partitioning

Multimodal LLM hallucination quantification via KL-smoothed scores + spectral/energy models (RKHS, hypergraphs).

Real-time mathematical topology engine and 3D visualization dashboard for Washington D.C. transit (WMATA and Montgomery County RideOn) utilizing Spectral Graph Theory, sparse linear algebra, and Graph Heat Diffusion Kernels.

Pycsou extension module for linear inverse problems involving signals defined on non Euclidean domains represented as graphs.

This repository contains the source code corresponding to the paper "Diffusive metrics induced by random affinities on graphs. An application to the transport systems related to the COVID-19 setting for Buenos Aires (AMBA)", to appear in Trends in Computational and Applied Mathematics

This is the Julia package of Natural Graph Wavelet Packet Dictionaries.

Sheaf and hierarchy algorithms

Bounded Relational Capacity and Its Conditional Continuum Dynamics — Born-Infeld candidates, signature selection, and open projection bridges (paper C)

Operator-geometric framework for metabolic identifiability and metabolite panel design under partial observability using Human-GEM, proteomics-informed reaction weighting, and spectral geometry.