ai-department-lpnu/diffusion-lab

Masked language diffusion lab

Implement the absorbing-mask diffusion process in diffusion.py. This lab is a continuation of the Encoder architecture lab. The included model.py is the same unfinished scaffold: solve that lab first, then replace it with your completed Encoder/model.py. The diffusion lab does not publish the encoder implementation.

The model files are reused directly from ai-department-lpnu/encoder-lab:

• model.json;
• safetensor_encoder.safetensors;
• tokenizer.json;
• special_tokens_map.json.

inference.py downloads those files on first use. This repository intentionally contains no copy of the model tensors.

The encoder repository is currently private. Students must be granted access and authenticate once with hf auth login before running inference.py.

Your working directory should therefore contain:

Diffusion_LM/
├── diffusion.py      # implement this lab
├── inference.py
├── model.py          # replace with your solved Encoder/model.py
└── requirements.txt

Objective

Turn a frozen bidirectional masked-language encoder into an iterative text denoiser. [MASK] is an absorbing noise state. The forward process gradually replaces editable tokens by [MASK]; the reverse process predicts masked tokens and reveals the most confident predictions over several steps.

This is an inference-only masked diffusion sampler. The backbone has not been trained with timestep conditioning, so the exercise focuses on diffusion mechanics, reconstruction, and infilling rather than state-of-the-art unconditional generation.

Forward process

flowchart LR
    X0[Clean sequence x₀] --> Q1[Mask a small subset]
    Q1 --> X1[x₁]
    X1 --> Q2[Increase mask probability]
    Q2 --> XT[xₜ]
    XT --> QT[Mask all editable positions]
    QT --> XM[All-mask state x_T]

Use a cosine schedule. cosine_mask_ratio(step, total_steps) describes the fraction that remains masked during reverse sampling:

r(step) = cos²(π · step / (2 · total_steps))

The corresponding forward corruption probability at timestep t is 1 - r(t). Only positions selected by editable_mask may be corrupted.

Reverse diffusion step

flowchart TD
    XT[Current sequence x_t] --> E[Frozen bidirectional encoder]
    E --> L[Vocabulary logits at every position]
    L --> S[Temperature / top-k sampling]
    S --> C[Probability of sampled token]
    C --> R[Rank currently masked positions]
    R --> H[Reveal highest-confidence subset]
    R --> M[Keep uncertain positions as MASK]
    H --> XP[Next state x_t-1]
    M --> XP

For each batch item, one call to diffusion_step must:

1. Run the encoder once over the complete current sequence.
2. Prevent [MASK], padding, and boundary tokens from being sampled.
3. Select greedy candidates when temperature <= 0; otherwise sample from temperature-scaled, optionally top-k-filtered probabilities.
4. Record each candidate's probability as its confidence.
5. Compute the target number of remaining masks from the cosine schedule.
6. Reveal the highest-confidence currently masked positions.
7. Leave prompt, boundary, padding, and previously revealed positions intact.

The process is monotonic: a revealed token is not masked again.

Tensor shapes

Value	Shape
input_ids	[batch, sequence]
editable_mask	[batch, sequence], boolean
Encoder logits	[batch, sequence, 50,368]
Sampled IDs	[batch, sequence]
Confidence	[batch, sequence]
Remaining masks	[batch]

Input and output always have the same [batch, sequence] shape. Diffusion replaces tokens in existing positions; it never appends tokens or changes the sequence length.

Input and output examples

Text infilling

The CLI input must contain at least one literal [MASK] token:

Input:  Paris is the [MASK] of France.
Output: Paris is the capital of France.

With this tokenizer, the input and final output are:

input_ids = torch.tensor([[
    50281, 36062, 310, 253, 50284, 273, 6181, 15, 50282
]])

#                        [MASK]
editable_mask = torch.tensor([[
    False, False, False, False, True, False, False, False, False
]])

final_ids = torch.tensor([[
    50281, 36062, 310, 253, 5347, 273, 6181, 15, 50282
]])
#                                  capital

Only position 4 is editable. The reverse process must preserve every other token ID exactly.

One diffusion_step

The following uses small illustrative token IDs. Here, 99 is [MASK], 1 and 2 are protected boundary tokens, and there are four editable positions:

input_ids = torch.tensor([[1, 99, 99, 99, 99, 2]])
editable_mask = torch.tensor([[False, True, True, True, True, False]])

Suppose the encoder samples these candidates and confidences:

sampled_ids = torch.tensor([[8, 10, 11, 12, 13, 7]])
confidence  = torch.tensor([[0.2, .95, .40, .70, .85, .3]])

For step=1 and total_steps=4, the cosine schedule requests three remaining masks. The step therefore reveals one token: candidate 10, because .95 is the highest confidence among the four currently masked positions.

DiffusionStepOutput(
    input_ids=torch.tensor([[1, 10, 99, 99, 99, 2]]),
    sampled_ids=torch.tensor([[8, 10, 11, 12, 13, 7]]),
    confidence=torch.tensor([[0.2, .95, .40, .70, .85, .3]]),
    remaining_masks=torch.tensor([3]),
)

Candidates at protected or already revealed positions are ignored. Only positions satisfying both editable_mask and input_ids == mask_id may change.

Complete reverse trajectory

With four editable positions and four steps, one possible trajectory is:

history[0]: [CLS] [MASK] [MASK] [MASK] [MASK] [SEP]
history[1]: [CLS] The    [MASK] [MASK] [MASK] [SEP]
history[2]: [CLS] The    small  [MASK] [MASK] [SEP]
history[3]: [CLS] The    small  brown  dog    [SEP]
history[4]: [CLS] The    small  brown  dog    [SEP]

diffuse() returns:

DiffusionOutput(
    input_ids=history[-1],       # final sequence with no editable [MASK]
    history=tuple(history),      # initial state plus one state per step
)

Consequently, len(output.history) == steps + 1 and output.input_ids.shape == input_ids.shape.

Forward corruption

corrupt() takes clean token IDs and returns another tensor of the same shape:

clean_ids:  [CLS] The small brown dog [SEP]
editable:          yes yes   yes   yes

at low noise:  [CLS] The [MASK] brown dog    [SEP]
at high noise: [CLS] [MASK] [MASK] [MASK] dog [SEP]
at final noise:[CLS] [MASK] [MASK] [MASK] [MASK] [SEP]

False positions in editable_mask, such as [CLS] and [SEP], must be identical in the input and output.

Completion criteria

• Implement every NotImplementedError in diffusion.py.
• Schedule endpoints are exactly r(0) = 1 and r(T) = 0.
• Forward corruption never changes protected positions.
• Reverse steps never change prompt or previously revealed positions.
• The number of [MASK] tokens decreases according to the schedule.
• No [MASK] tokens remain after the last step.
• Seeded sampling is reproducible.
• Batched sequences may have different numbers of editable positions.
• The encoder is evaluated under torch.inference_mode() and is not trained.

Example after completing diffusion.py:

python inference.py "Paris is the [MASK] of France." \
  --steps 8 --temperature 0