LDLMIn construction

Contextual evidence from Gaussian prior

The prior is a standard Gaussian.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Gaussian prior

Sampling starts from the prior with a zero self-conditioning estimate, uses the averaged denoiser, takes the adaptive grid when it is requested and the sampler has been updated and a uniform grid otherwise, steps N times carrying the state and the clean estimate, and returns the last step’s mean.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Sampler

One Euler–Maruyama step: the mean is x + drift · dt, and the next state adds diffusion · √(−dt) · noise; the clean estimate is returned with them.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Sampler

The reverse SDE: drift −β x/2 − β · score and diffusion √β; the ODE halves the score term and has no diffusion.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Sampler

The denoiser’s clean prediction is converted into the noise estimate and the score with the marginal’s mean and standard deviation.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Sampler

The generation grid: N + 1 times at equal steps of the weights’ cumulative distribution, interpolated inside bins, clamped to the stopping time, in decreasing order.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Sampler

Diffusion: self-conditioning on, `t_min` 0.05 and `eps` 10⁻⁵; the adaptive time sampler has 100 bins, a minimum weight of 0.0001, an EMA of 0.9 and updates every 5,000 steps; the denoiser’s EMA decay is 0.9999; scheduler `tanh` with d = 3, solver `euler`, `ode_sampling` false, N = 128 by default; the denoiser has 12 blocks of width 768 with 12 heads, time conditioning `adaln`, a standard MLP, softcap 50 and self-conditioning by concatenation; the timestep embedding’s `max_period` is 10.

The implementation, pinned at revision e18c42acdfb7, not yet public

Contextual evidence from Sampler

The documented OpenWebText invocation: the joint task on 1,024-token sequences, decoder noise 3, hidden state −3, 1,024 diffusion steps on the adaptive grid.

The implementation, pinned at revision e18c42acdfb7, not yet public