---
license: apache-2.0
---

# Geometric Lookup Flow Matching (GLFM)

The prototype formula for the next experiment.

```
Standard:  x_t → UNet(x_t, t, c) → v_pred
                 ↑ full 16384-dim path

GLFM:      x_t → encoder → project to S^15 → triangulate against anchors
                                                    ↓
                              768-dim geometric address (continuous, not discrete)
                                                    ↓
                              conditioned_generator(address, t, c) → v_pred
```

# Prelim
This one is going to attempt a new form of prediction based on velocity flow matching using spherical representation.

The alignment for the early prototype is essentially going to be euler discreet ODE flow matching, and it will be more than enough for now.
We'll work from there and build increased representation as needed.

I'm going to attempt to fully replace the diffuser's substructure with a spherical representation. Standby.

First proto is pretty much vpred, then I'll enhance the system with shift and so on. Simple improvements.