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.

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

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.

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.

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

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

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.

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

Operator-theoretic spatial biology framework for tumor–immune interface analysis using Hodge decomposition, antisymmetric commutator geometry, and graph operator dynamics. Validated across HCC, IMC, CABO/NIVO, and a pan-cancer Visium cohort (26 sections, 118k+ spots, 6 cancer types).

The official computational simulation lab for the Helix-Light-Vortex (HLV) framework. We translate 6D cut-and-project geometries into reproducible 3D quasicrystalline G-lattices to rigorously stress-test effective field models, weighted graph Laplacians, and topological vortex stability.

Advanced Boids with Graph-Laplacian leader election, ripple-based signaling, and role-driven flock dynamics.

Machine learning algorithms implemented using numpy functions.

Sheaf theory and community detection