Comments (4)
This is actually quite similar to the DDPM sampling algorithm. Both e-prediction and x_0 prediction will be transformed back to derive p(x_{t-1} | x_t), and both derivation rely on x_{t−1} =\sqrt{\alpha} f_\theta(x_t,t)+ \sqrt{1-\alpha} * N(0,1), where f_\theta(x_t,t) is the predicted x_0.
I think reading the last paragraph of section 4.2 could help.
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My confusion is that you appear to rely on the forward process q(x_{t-1}| x_0) to sample, whereas DDPM samples by predicting the mean of backward process p(x_{t-1} | x_t) (which we learn through the closed form solution of q(x_{t-1} | x_t, x_0)). Is there any deduction I can find (perhaps in other papers that also use x_0 prediction) to prove that these two samplings are mathematically equivalent?
In other words, DDPM samples through q(x_{t-1} | x_t, x_0), but Diffusion-LM samples through q(x_{t-1} | f_\theta(x_t,t)).
from diffusion-lm.
Maybe checkout the last equation on page 17 of the Diffusion-LM ArXiv paper.
from diffusion-lm.
from diffusion-lm.
Related Issues (20)
- I wander where to find the model in the predictability HOT 1
- Training on A100
- Separate weights for word embedding and lm-head?
- Questions about the result of success rate of PPLM? HOT 2
- Why not directly use Emb(W) as X_0? HOT 2
- Error when running training script on Google Colab HOT 2
- Fail to load GPT2 pretrained model for attribute controled generation
- Reproducing Table 5: Sentence Infilling - CIDEr / BLEU-4 metrics HOT 1
- Baseline reproduction
- error when runing:Exception in thread Thread-4:·······ValueError: signal number 32 out of range
- Which classifier to use in custom_trainer.py for controllable generation?
- About the tT_loss HOT 1
- The difference between this code and the paper "IDDPM" in the run_loop function in train_util.py.
- The relevant code that caused the error is in the Controllable Text Generation section, after the model trained for 6 epochs and started evaluating, it raised a KeyError: 'eval_loss' HOT 2
- Questions about the NLL loss
- E2E training procedure
- Issue while generating controllable text generation
- How to Execute the Semantic Content Subtask with infill.py
- Seq2Seq tasks with Diffusion LM
- Difficulty in running code
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