empirical data flowing
to emergent geometry.

Generative and geometric machine learning — developed rigorously, deployed at scale, for scientific discovery.

Mission

The boundary between mathematics, physics, and machine learning is dissolving. Transformers, diffusion maps, and stochastic dynamics are not separate tools — they are different regimes of the same geometry.

DAC is built on this unification. We develop the infrastructure to run these methods at scales that matter to science.

Products
Flagship · Now in private beta
FlashDiffusion

Coifman–Lafon diffusion maps at 100M-sample scale. B300-native sparse eigensolver. Hours, not weeks. Built for MD trajectories, cryo-EM, XFEL, and beyond.

1M frames · 30 min
100M max samples
B300 GPU native
Coming soon
More to come

Additional products in development.

The Diffusion–Attention Connection

Julio Candanedo — julio@sparsetrace.ai

Transformers, diffusion maps, and magnetic Laplacians are usually treated as separate tools. We show they are all different regimes of a single Markov geometry built from query–key scores — unified through the static Schrödinger bridge framework. DMAP is the equilibrium representative. Attention is NESS.

Private beta.
Apply now.

We are running private benchmarks with early collaborators. If your research involves large-scale geometric or generative ML, we want to hear from you.

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