[PNDM] Stable diffusion (#186)

* [PNDM] Stable diffusino

* finish

src/diffusers/schedulers/scheduling_pndm.py

@@ -56,6 +56,7 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         beta_end=0.02,
         beta_schedule="linear",
         tensor_format="pt",
+        skip_prk_steps=False,
     ):
 
         if beta_schedule == "linear":
@@ -88,6 +89,7 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         # setable values
         self.num_inference_steps = None
         self._timesteps = np.arange(0, num_train_timesteps)[::-1].copy()
+        self._offset = 0
         self.prk_timesteps = None
         self.plms_timesteps = None
         self.timesteps = None
@@ -95,17 +97,27 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         self.tensor_format = tensor_format
         self.set_format(tensor_format=tensor_format)
 
-    def set_timesteps(self, num_inference_steps):
+    def set_timesteps(self, num_inference_steps, offset=0):
         self.num_inference_steps = num_inference_steps
         self._timesteps = list(
             range(0, self.config.num_train_timesteps, self.config.num_train_timesteps // num_inference_steps)
         )
+        self._offset = offset
+        self._timesteps = [t + self._offset for t in self._timesteps]
+
+        if self.config.skip_prk_steps:
+            # for some models like stable diffusion the prk steps can/should be skipped to
+            # produce better results. When using PNDM with `self.config.skip_prk_steps` the implementation
+            # is based on crowsonkb's PLMS sampler implementation: https://github.com/CompVis/latent-diffusion/pull/51
+            self.prk_timesteps = []
+            self.plms_timesteps = list(reversed(self._timesteps[:-1] + self._timesteps[-2:-1] + self._timesteps[-1:]))
+        else:
+            prk_timesteps = np.array(self._timesteps[-self.pndm_order :]).repeat(2) + np.tile(
+                np.array([0, self.config.num_train_timesteps // num_inference_steps // 2]), self.pndm_order
+            )
+            self.prk_timesteps = list(reversed(prk_timesteps[:-1].repeat(2)[1:-1]))
+            self.plms_timesteps = list(reversed(self._timesteps[:-3]))
 
-        prk_timesteps = np.array(self._timesteps[-self.pndm_order :]).repeat(2) + np.tile(
-            np.array([0, self.config.num_train_timesteps // num_inference_steps // 2]), self.pndm_order
-        )
-        self.prk_timesteps = list(reversed(prk_timesteps[:-1].repeat(2)[1:-1]))
-        self.plms_timesteps = list(reversed(self._timesteps[:-3]))
         self.timesteps = self.prk_timesteps + self.plms_timesteps
 
         self.counter = 0
@@ -117,7 +129,7 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         timestep: int,
         sample: Union[torch.FloatTensor, np.ndarray],
     ):
-        if self.counter < len(self.prk_timesteps):
+        if self.counter < len(self.prk_timesteps) and not self.config.skip_prk_steps:
             return self.step_prk(model_output=model_output, timestep=timestep, sample=sample)
         else:
             return self.step_plms(model_output=model_output, timestep=timestep, sample=sample)
@@ -166,7 +178,7 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         Step function propagating the sample with the linear multi-step method. This has one forward pass with multiple
         times to approximate the solution.
         """
-        if len(self.ets) < 3:
+        if not self.config.skip_prk_steps and len(self.ets) < 3:
             raise ValueError(
                 f"{self.__class__} can only be run AFTER scheduler has been run "
                 "in 'prk' mode for at least 12 iterations "
@@ -175,9 +187,26 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
             )
 
         prev_timestep = max(timestep - self.config.num_train_timesteps // self.num_inference_steps, 0)
-        self.ets.append(model_output)
 
-        model_output = (1 / 24) * (55 * self.ets[-1] - 59 * self.ets[-2] + 37 * self.ets[-3] - 9 * self.ets[-4])
+        if self.counter != 1:
+            self.ets.append(model_output)
+        else:
+            prev_timestep = timestep
+            timestep = timestep + self.config.num_train_timesteps // self.num_inference_steps
+
+        if len(self.ets) == 1 and self.counter == 0:
+            model_output = model_output
+            self.cur_sample = sample
+        elif len(self.ets) == 1 and self.counter == 1:
+            model_output = (model_output + self.ets[-1]) / 2
+            sample = self.cur_sample
+            self.cur_sample = None
+        elif len(self.ets) == 2:
+            model_output = (3 * self.ets[-1] - self.ets[-2]) / 2
+        elif len(self.ets) == 3:
+            model_output = (23 * self.ets[-1] - 16 * self.ets[-2] + 5 * self.ets[-3]) / 12
+        else:
+            model_output = (1 / 24) * (55 * self.ets[-1] - 59 * self.ets[-2] + 37 * self.ets[-3] - 9 * self.ets[-4])
 
         prev_sample = self._get_prev_sample(sample, timestep, prev_timestep, model_output)
         self.counter += 1
@@ -197,8 +226,8 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         # sample -> x_t
         # model_output -> e_θ(x_t, t)
         # prev_sample -> x_(t−δ)
-        alpha_prod_t = self.alphas_cumprod[timestep + 1]
-        alpha_prod_t_prev = self.alphas_cumprod[timestep_prev + 1]
+        alpha_prod_t = self.alphas_cumprod[timestep + 1 - self._offset]
+        alpha_prod_t_prev = self.alphas_cumprod[timestep_prev + 1 - self._offset]
         beta_prod_t = 1 - alpha_prod_t
         beta_prod_t_prev = 1 - alpha_prod_t_prev
 

tests/test_modeling_utils.py

@@ -843,6 +843,7 @@ class PipelineTesterMixin(unittest.TestCase):
     @slow
     @unittest.skipIf(torch_device == "cpu", "Stable diffusion is suppused to run on GPU")
     def test_stable_diffusion(self):
+        # make sure here that pndm scheduler skips prk
         sd_pipe = StableDiffusionPipeline.from_pretrained("CompVis/stable-diffusion-v1-1-diffusers")
 
         prompt = "A painting of a squirrel eating a burger"
@@ -857,7 +858,7 @@ class PipelineTesterMixin(unittest.TestCase):
         image_slice = image[0, -3:, -3:, -1]
 
         assert image.shape == (1, 512, 512, 3)
-        expected_slice = np.array([0.898, 0.9194, 0.91, 0.8955, 0.915, 0.919, 0.9233, 0.9307, 0.8887])
+        expected_slice = np.array([0.8887, 0.915, 0.91, 0.894, 0.909, 0.912, 0.919, 0.925, 0.883])
         assert np.abs(image_slice.flatten() - expected_slice).max() < 1e-2
 
     @slow