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.