Hypergraphs are natural parametrizations of higher-order relational structure. Yet standard GNNs on hypergraph expansions often outperform specialized topological models. We show that adding hypergraph-level encodings yields significant performance gains and provably boosts

Stephen Wolfram says his Physics Project is showing that computation is the underlying paradigm of the world and hypergraphs are the machine code of the Universe

This is how you do hypergraphs

Double explosive Kuramoto transition in hypergraphs, Sangita Dutta et al #Network #NonlinearDynamics

just finished death stranding 2, takeaway:.1) @octra is the chiral network.2) octra hypergraphs are the native substrate for all things 3D: real-time robotics, holograms and advanced printing.3) you do NOT want any of these controlled by an adversary. pictured: octra hypergraph

hypergraphs

Released a macro frontend for building open hypergraphs today, so if you like doing category theory by pretending you're writing Rust, this is for you

First day of month long programme on hypergraphs @turinginst @NewtonInstitute @graphaellamulas @BickMath @gin_bianconi #NewtonHTA2024

Information Geometry of Dynamics on Graphs and Hypergraphs.

spent some time writing docs for the rust port of open-hypergraphs today, feedback requested!. image: example constructing the open hypergraph for an n-bit ripple-carry adder in boolean circuits

Existing Graph RAG (GraphRAG) methods struggle because they represent knowledge using only binary relations (linking two entities), missing complex real-world connections involving more than two entities. This paper introduces HyperGraphRAG, which uses hypergraphs to model these

dot layout engine for lax open hypergraphs: ~2 hours and $6.14 with Claude, ~412 SLOC. Pretty good deal!

More hypergraphs, ML, topology and biology @turinginst @gin_bianconi #NewtonHTA2024

2-bit ripple-carry adder using open-hypergraphs-dot! . sadly, ghiblification of complex diagrams is still AGI-complete

Under standard model relativistic quantum field theory and general relativity there's a superposition of strings, quantum loops, causal sets, causal dynamical triangulations, E8 lie group, hypergraphs,. connected by some generalized M-theory? .Oh man i want to understand all of

1. Hypergraph FHE .What it is: @octra original fully homomorphic encryption scheme based on hypergraphs instead of lattices. Why it matters: Enables high-throughput, low-cost encrypted computation with parallel bootstrapping.

reworked the functor interface in open-hypergraphs a bit, added a functor to map Copy nodes into spiders (before/after below)

Article #OTD . Information geometry of dynamics on graphs and hypergraphs. #INGE

Hypergraphs on high dimensional time series sets using signature transform.