Slash compute time - from seconds to nanoseconds.

Accelerate ML, scientific, and numeric workloads with Hologram’s \(O(1)\) geometry-powered compute.

Replace \(O(n^3)\) matrix workloads with constant-time lookups that complete in ~35 ns - no matter your data size. Drop in with PyTorch, JAX, and TensorFlow without rewrites or pipeline friction.

Problem → Solution

Escape cubic overhead with geometry-powered compute.

Stop fighting matrix math bottlenecks. Switch to constant-time execution that keeps pace with your ambition.

Problem

Traditional matrix workloads don't scale

Every dimension adds cubic overhead, memory bloat, and floating-point drift. Teams stall while GPU costs climb and iteration slows.

  • Cubic complexity that compounds with every new dimension
  • Memory-heavy copies and cache misses that waste hardware
  • Precision loss that breaks scientific and financial workloads
Solution

Geometry-powered, constant-time compute

Hologram replaces iteration with geometry. Constant-time lookups finish in ~35 ns no matter your data size.

  • Drop-in support for PyTorch, JAX, and TensorFlow - no rewrites
  • Auto dispatch across CPU, CUDA, Metal, and WebGPU
  • Zero-copy DLPack interface to keep memory lean

Benefits that turn time into leverage.

Everything you need to deploy constant-time compute, without rebuilding your stack.

True $O(1)$ compute

Scale without slowdown - constant-time operations on any size data.

Multi-backend (CPU, CUDA, Metal, WebGPU)

Auto dispatch to the right hardware for every workload.

Zero-copy memory

Lean and efficient - keep data in place with DLPack interoperability.

Exact arithmetic

Full precision for science and finance without FP error creep.

Parallel by design

Built for modern hardware and data-parallel execution.

Plug-and-play

Integrate in minutes with PyTorch, JAX, and TensorFlow.

Proof it works.

Open-source, community-driven, and trusted by leading researchers and HPC labs worldwide.

Hologram cut our training time by 80%. What used to take hours now finishes in minutes.

ML Infra Lead

Quantum AI Research

Enterprise research lab

How Hologram works.

From data to constant-time execution in four steps - no rewrites required.

1

Data canonicalization

Structure your tensors with a geometry-based transform that preserves precision.

2

$O(1)$ lookups

Replace heavy iteration with constant-time access patterns (~35 ns).

3

Zero-copy interface

Connect via PyTorch, JAX, and TensorFlow with zero-copy DLPack exchange.

4

Auto backend dispatch

CPU, GPU, or WebGPU with data-parallel execution - all automatic.

Community Projects

Innovative projects built using UOR principles and technologies.

Atlas: Universal Mathematical Language

by UOR Foundation

A breakthrough showing how five exceptional Lie groups derive from a single 96-vertex construct. The Golden Seed Vector reveals the universal mathematical language for generating complexity with mathematical certainty.

MathematicsRustLean
Learn More

Atomic Language Model

by UOR Foundation

A mathematically rigorous language model implementing Chomsky's Minimalist Grammar. Uses Coq-verified proofs and probabilistic rule weighting for infinite syntax generation.

AI/MLPythonRust
Learn More

Ready to build at the speed of math?

Ship \(O(1)\) compute today. Open-source, community-driven, and free forever.