VE/VP SDE updates (#90)

* improve comments for sde_ve scheduler, init tests

* more comments, tweaking pipelines

* timesteps --> num_training_timesteps, some comments

* merge cpu test, add m1 data

* fix scheduler tests with num_train_timesteps

* make np compatible, add tests for sde ve

* minor default variable fixes

* make style and fix-copies
Co-authored-by: Patrick von Platen <patrick.v.platen@gmail.com>

src/diffusers/pipelines/score_sde_ve/pipeline_score_sde_ve.py

@@ -18,9 +18,6 @@ class ScoreSdeVePipeline(DiffusionPipeline):
 
         model = self.model.to(device)
 
-        # TODO(Patrick) move to scheduler config
-        n_steps = 1
-
         x = torch.randn(*shape) * self.scheduler.config.sigma_max
         x = x.to(device)
 
@@ -30,7 +27,7 @@ class ScoreSdeVePipeline(DiffusionPipeline):
         for i, t in enumerate(self.scheduler.timesteps):
             sigma_t = self.scheduler.sigmas[i] * torch.ones(shape[0], device=device)
 
-            for _ in range(n_steps):
+            for _ in range(self.scheduler.correct_steps):
                 with torch.no_grad():
                     result = self.model(x, sigma_t)
 

src/diffusers/pipelines/score_sde_vp/pipeline_score_sde_vp.py

@@ -27,6 +27,7 @@ class ScoreSdeVpPipeline(DiffusionPipeline):
             t = t * torch.ones(shape[0], device=device)
             scaled_t = t * (num_inference_steps - 1)
 
+            # TODO add corrector
             with torch.no_grad():
                 result = model(x, scaled_t)
 

src/diffusers/schedulers/scheduling_ddim.py

@@ -51,7 +51,7 @@ def betas_for_alpha_bar(num_diffusion_timesteps, max_beta=0.999):
 class DDIMScheduler(SchedulerMixin, ConfigMixin):
     def __init__(
         self,
-        timesteps=1000,
+        num_train_timesteps=1000,
         beta_start=0.0001,
         beta_end=0.02,
         beta_schedule="linear",
@@ -62,7 +62,7 @@ class DDIMScheduler(SchedulerMixin, ConfigMixin):
     ):
         super().__init__()
         self.register_to_config(
-            timesteps=timesteps,
+            num_train_timesteps=num_train_timesteps,
             beta_start=beta_start,
             beta_end=beta_end,
             beta_schedule=beta_schedule,
@@ -72,13 +72,13 @@ class DDIMScheduler(SchedulerMixin, ConfigMixin):
         )
 
         if beta_schedule == "linear":
-            self.betas = np.linspace(beta_start, beta_end, timesteps, dtype=np.float32)
+            self.betas = np.linspace(beta_start, beta_end, num_train_timesteps, dtype=np.float32)
         elif beta_schedule == "scaled_linear":
             # this schedule is very specific to the latent diffusion model.
-            self.betas = np.linspace(beta_start**0.5, beta_end**0.5, timesteps, dtype=np.float32) ** 2
+            self.betas = np.linspace(beta_start**0.5, beta_end**0.5, num_train_timesteps, dtype=np.float32) ** 2
         elif beta_schedule == "squaredcos_cap_v2":
             # Glide cosine schedule
-            self.betas = betas_for_alpha_bar(timesteps)
+            self.betas = betas_for_alpha_bar(num_train_timesteps)
         else:
             raise NotImplementedError(f"{beta_schedule} does is not implemented for {self.__class__}")
 
@@ -88,10 +88,7 @@ class DDIMScheduler(SchedulerMixin, ConfigMixin):
 
         # setable values
         self.num_inference_steps = None
-        self.timesteps = np.arange(0, self.config.timesteps)[::-1].copy()
-
-        self.tensor_format = tensor_format
-        self.set_format(tensor_format=tensor_format)
+        self.timesteps = np.arange(0, num_train_timesteps)[::-1].copy()
 
     def _get_variance(self, timestep, prev_timestep):
         alpha_prod_t = self.alphas_cumprod[timestep]
@@ -131,7 +128,7 @@ class DDIMScheduler(SchedulerMixin, ConfigMixin):
         # - pred_prev_sample -> "x_t-1"
 
         # 1. get previous step value (=t-1)
-        prev_timestep = timestep - self.config.timesteps // self.num_inference_steps
+        prev_timestep = timestep - self.config.num_train_timesteps // self.num_inference_steps
 
         # 2. compute alphas, betas
         alpha_prod_t = self.alphas_cumprod[timestep]
@@ -183,4 +180,4 @@ class DDIMScheduler(SchedulerMixin, ConfigMixin):
         return noisy_samples
 
     def __len__(self):
-        return self.config.timesteps
+        return self.config.num_train_timesteps

src/diffusers/schedulers/scheduling_ddpm.py

@@ -50,7 +50,7 @@ def betas_for_alpha_bar(num_diffusion_timesteps, max_beta=0.999):
 class DDPMScheduler(SchedulerMixin, ConfigMixin):
     def __init__(
         self,
-        timesteps=1000,
+        num_train_timesteps=1000,
         beta_start=0.0001,
         beta_end=0.02,
         beta_schedule="linear",
@@ -62,7 +62,7 @@ class DDPMScheduler(SchedulerMixin, ConfigMixin):
     ):
         super().__init__()
         self.register_to_config(
-            timesteps=timesteps,
+            num_train_timesteps=num_train_timesteps,
             beta_start=beta_start,
             beta_end=beta_end,
             beta_schedule=beta_schedule,
@@ -75,10 +75,10 @@ class DDPMScheduler(SchedulerMixin, ConfigMixin):
         if trained_betas is not None:
             self.betas = np.asarray(trained_betas)
         elif beta_schedule == "linear":
-            self.betas = np.linspace(beta_start, beta_end, timesteps, dtype=np.float32)
+            self.betas = np.linspace(beta_start, beta_end, num_train_timesteps, dtype=np.float32)
         elif beta_schedule == "squaredcos_cap_v2":
             # Glide cosine schedule
-            self.betas = betas_for_alpha_bar(timesteps)
+            self.betas = betas_for_alpha_bar(num_train_timesteps)
         else:
             raise NotImplementedError(f"{beta_schedule} does is not implemented for {self.__class__}")
 
@@ -160,4 +160,4 @@ class DDPMScheduler(SchedulerMixin, ConfigMixin):
         return noisy_samples
 
     def __len__(self):
-        return self.config.timesteps
+        return self.config.num_train_timesteps

src/diffusers/schedulers/scheduling_pndm.py

@@ -50,7 +50,7 @@ def betas_for_alpha_bar(num_diffusion_timesteps, max_beta=0.999):
 class PNDMScheduler(SchedulerMixin, ConfigMixin):
     def __init__(
         self,
-        timesteps=1000,
+        num_train_timesteps=1000,
         beta_start=0.0001,
         beta_end=0.02,
         beta_schedule="linear",
@@ -58,17 +58,17 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
     ):
         super().__init__()
         self.register_to_config(
-            timesteps=timesteps,
+            num_train_timesteps=num_train_timesteps,
             beta_start=beta_start,
             beta_end=beta_end,
             beta_schedule=beta_schedule,
         )
 
         if beta_schedule == "linear":
-            self.betas = np.linspace(beta_start, beta_end, timesteps, dtype=np.float32)
+            self.betas = np.linspace(beta_start, beta_end, num_train_timesteps, dtype=np.float32)
         elif beta_schedule == "squaredcos_cap_v2":
             # Glide cosine schedule
-            self.betas = betas_for_alpha_bar(timesteps)
+            self.betas = betas_for_alpha_bar(num_train_timesteps)
         else:
             raise NotImplementedError(f"{beta_schedule} does is not implemented for {self.__class__}")
 
@@ -96,10 +96,12 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         if num_inference_steps in self.prk_time_steps:
             return self.prk_time_steps[num_inference_steps]
 
-        inference_step_times = list(range(0, self.config.timesteps, self.config.timesteps // num_inference_steps))
+        inference_step_times = list(
+            range(0, self.config.num_train_timesteps, self.config.num_train_timesteps // num_inference_steps)
+        )
 
         prk_time_steps = np.array(inference_step_times[-self.pndm_order :]).repeat(2) + np.tile(
-            np.array([0, self.config.timesteps // num_inference_steps // 2]), self.pndm_order
+            np.array([0, self.config.num_train_timesteps // num_inference_steps // 2]), self.pndm_order
         )
         self.prk_time_steps[num_inference_steps] = list(reversed(prk_time_steps[:-1].repeat(2)[1:-1]))
 
@@ -109,7 +111,9 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         if num_inference_steps in self.time_steps:
             return self.time_steps[num_inference_steps]
 
-        inference_step_times = list(range(0, self.config.timesteps, self.config.timesteps // num_inference_steps))
+        inference_step_times = list(
+            range(0, self.config.num_train_timesteps, self.config.num_train_timesteps // num_inference_steps)
+        )
         self.time_steps[num_inference_steps] = list(reversed(inference_step_times[:-3]))
 
         return self.time_steps[num_inference_steps]
@@ -135,6 +139,10 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         sample: Union[torch.FloatTensor, np.ndarray],
         num_inference_steps,
     ):
+        """
+        Step function propagating the sample with the Runge-Kutta method. RK takes 4 forward passes to approximate the
+        solution to the differential equation.
+        """
         t = timestep
         prk_time_steps = self.get_prk_time_steps(num_inference_steps)
 
@@ -165,6 +173,10 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         sample: Union[torch.FloatTensor, np.ndarray],
         num_inference_steps,
     ):
+        """
+        Step function propagating the sample with the linear multi-step method. This has one forward pass with multiple
+        times to approximate the solution.
+        """
         t = timestep
         if len(self.ets) < 3:
             raise ValueError(
@@ -221,4 +233,4 @@ class PNDMScheduler(SchedulerMixin, ConfigMixin):
         return prev_sample
 
     def __len__(self):
-        return self.config.timesteps
+        return self.config.num_train_timesteps

src/diffusers/schedulers/scheduling_sde_ve.py

@@ -15,6 +15,7 @@
 # DISCLAIMER: This file is strongly influenced by https://github.com/yang-song/score_sde_pytorch
 
 # TODO(Patrick, Anton, Suraj) - make scheduler framework indepedent and clean-up a bit
+import pdb
 
 import numpy as np
 import torch
@@ -24,61 +25,132 @@ from .scheduling_utils import SchedulerMixin
 
 
 class ScoreSdeVeScheduler(SchedulerMixin, ConfigMixin):
-    def __init__(self, snr=0.15, sigma_min=0.01, sigma_max=1348, sampling_eps=1e-5, tensor_format="np"):
+    """
+    The variance exploding stochastic differential equation (SDE) scheduler.
+
+    :param snr: coefficient weighting the step from the score sample (from the network) to the random noise. :param
+    sigma_min: initial noise scale for sigma sequence in sampling procedure. The minimum sigma should mirror the
+            distribution of the data.
+    :param sigma_max: :param sampling_eps: the end value of sampling, where timesteps decrease progessively from 1 to
+    epsilon. :param correct_steps: number of correction steps performed on a produced sample. :param tensor_format:
+    "np" or "pt" for the expected format of samples passed to the Scheduler.
+    """
+
+    def __init__(
+        self,
+        num_train_timesteps=2000,
+        snr=0.15,
+        sigma_min=0.01,
+        sigma_max=1348,
+        sampling_eps=1e-5,
+        correct_steps=1,
+        tensor_format="pt",
+    ):
         super().__init__()
         self.register_to_config(
+            num_train_timesteps=num_train_timesteps,
             snr=snr,
             sigma_min=sigma_min,
             sigma_max=sigma_max,
             sampling_eps=sampling_eps,
+            correct_steps=correct_steps,
         )
 
         self.sigmas = None
         self.discrete_sigmas = None
         self.timesteps = None
 
+        # TODO - update step to be torch-independant
+        self.set_format(tensor_format=tensor_format)
+
     def set_timesteps(self, num_inference_steps):
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            self.timesteps = np.linspace(1, self.config.sampling_eps, num_inference_steps)
+        elif tensor_format == "pt":
             self.timesteps = torch.linspace(1, self.config.sampling_eps, num_inference_steps)
+        else:
+            raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
 
     def set_sigmas(self, num_inference_steps):
         if self.timesteps is None:
             self.set_timesteps(num_inference_steps)
 
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            self.discrete_sigmas = np.exp(
+                np.linspace(np.log(self.config.sigma_min), np.log(self.config.sigma_max), num_inference_steps)
+            )
+            self.sigmas = np.array(
+                [self.config.sigma_min * (self.config.sigma_max / self.sigma_min) ** t for t in self.timesteps]
+            )
+        elif tensor_format == "pt":
             self.discrete_sigmas = torch.exp(
                 torch.linspace(np.log(self.config.sigma_min), np.log(self.config.sigma_max), num_inference_steps)
             )
             self.sigmas = torch.tensor(
                 [self.config.sigma_min * (self.config.sigma_max / self.sigma_min) ** t for t in self.timesteps]
             )
-
-    def step_pred(self, result, x, t):
-        # TODO(Patrick) better comments + non-PyTorch
-        t = t * torch.ones(x.shape[0], device=x.device)
-        timestep = (t * (len(self.timesteps) - 1)).long()
-
-        sigma = self.discrete_sigmas.to(t.device)[timestep]
-        adjacent_sigma = torch.where(
-            timestep == 0, torch.zeros_like(t), self.discrete_sigmas[timestep - 1].to(timestep.device)
+        else:
+            raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
+
+    def get_adjacent_sigma(self, timesteps, t):
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            return np.where(timesteps == 0, np.zeros_like(t), self.discrete_sigmas[timesteps - 1])
+        elif tensor_format == "pt":
+            return torch.where(
+                timesteps == 0, torch.zeros_like(t), self.discrete_sigmas[timesteps - 1].to(timesteps.device)
             )
-        f = torch.zeros_like(x)
-        G = torch.sqrt(sigma**2 - adjacent_sigma**2)
 
-        f = f - G[:, None, None, None] ** 2 * result
+        raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
 
-        z = torch.randn_like(x)
-        x_mean = x - f
-        x = x_mean + G[:, None, None, None] * z
+    def step_pred(self, score, x, t):
+        """
+        Predict the sample at the previous timestep by reversing the SDE.
+        """
+        # TODO(Patrick) better comments + non-PyTorch
+        t = self.repeat_scalar(t, x.shape[0])
+        timesteps = self.long((t * (len(self.timesteps) - 1)))
+
+        sigma = self.discrete_sigmas[timesteps]
+        adjacent_sigma = self.get_adjacent_sigma(timesteps, t)
+        drift = self.zeros_like(x)
+        diffusion = (sigma**2 - adjacent_sigma**2) ** 0.5
+
+        # equation 6 in the paper: the score modeled by the network is grad_x log pt(x)
+        # also equation 47 shows the analog from SDE models to ancestral sampling methods
+        drift = drift - diffusion[:, None, None, None] ** 2 * score
+
+        #  equation 6: sample noise for the diffusion term of
+        noise = self.randn_like(x)
+        x_mean = x - drift  # subtract because `dt` is a small negative timestep
+        # TODO is the variable diffusion the correct scaling term for the noise?
+        x = x_mean + diffusion[:, None, None, None] * noise  # add impact of diffusion field g
         return x, x_mean
 
-    def step_correct(self, result, x):
-        # TODO(Patrick) better comments + non-PyTorch
-        noise = torch.randn_like(x)
-        grad_norm = torch.norm(result.reshape(result.shape[0], -1), dim=-1).mean()
-        noise_norm = torch.norm(noise.reshape(noise.shape[0], -1), dim=-1).mean()
+    def step_correct(self, score, x):
+        """
+        Correct the predicted sample based on the output score of the network. This is often run repeatedly after
+        making the prediction for the previous timestep.
+        """
+        # TODO(Patrick) non-PyTorch
+
+        # For small batch sizes, the paper "suggest replacing norm(z) with sqrt(d), where d is the dim. of z"
+        # sample noise for correction
+        noise = self.randn_like(x)
+
+        # compute step size from the score, the noise, and the snr
+        grad_norm = self.norm(score)
+        noise_norm = self.norm(noise)
         step_size = (self.config.snr * noise_norm / grad_norm) ** 2 * 2
-        step_size = step_size * torch.ones(x.shape[0], device=x.device)
-        x_mean = x + step_size[:, None, None, None] * result
+        step_size = self.repeat_scalar(step_size, x.shape[0])  # * self.ones(x.shape[0], device=x.device)
 
-        x = x_mean + torch.sqrt(step_size * 2)[:, None, None, None] * noise
+        # compute corrected sample: score term and noise term
+        x_mean = x + step_size[:, None, None, None] * score
+        x = x_mean + ((step_size * 2) ** 0.5)[:, None, None, None] * noise
 
         return x
+
+    def __len__(self):
+        return self.config.num_train_timesteps

src/diffusers/schedulers/scheduling_sde_vp.py

@@ -24,9 +24,10 @@ from .scheduling_utils import SchedulerMixin
 
 
 class ScoreSdeVpScheduler(SchedulerMixin, ConfigMixin):
-    def __init__(self, beta_min=0.1, beta_max=20, sampling_eps=1e-3, tensor_format="np"):
+    def __init__(self, num_train_timesteps=2000, beta_min=0.1, beta_max=20, sampling_eps=1e-3, tensor_format="np"):
         super().__init__()
         self.register_to_config(
+            num_train_timesteps=num_train_timesteps,
             beta_min=beta_min,
             beta_max=beta_max,
             sampling_eps=sampling_eps,
@@ -39,14 +40,14 @@ class ScoreSdeVpScheduler(SchedulerMixin, ConfigMixin):
     def set_timesteps(self, num_inference_steps):
         self.timesteps = torch.linspace(1, self.config.sampling_eps, num_inference_steps)
 
-    def step_pred(self, result, x, t):
+    def step_pred(self, score, x, t):
         # TODO(Patrick) better comments + non-PyTorch
-        # postprocess model result
+        # postprocess model score
         log_mean_coeff = (
             -0.25 * t**2 * (self.config.beta_max - self.config.beta_min) - 0.5 * t * self.config.beta_min
         )
         std = torch.sqrt(1.0 - torch.exp(2.0 * log_mean_coeff))
-        result = -result / std[:, None, None, None]
+        score = -score / std[:, None, None, None]
 
         # compute
         dt = -1.0 / len(self.timesteps)
@@ -54,11 +55,14 @@ class ScoreSdeVpScheduler(SchedulerMixin, ConfigMixin):
         beta_t = self.config.beta_min + t * (self.config.beta_max - self.config.beta_min)
         drift = -0.5 * beta_t[:, None, None, None] * x
         diffusion = torch.sqrt(beta_t)
-        drift = drift - diffusion[:, None, None, None] ** 2 * result
+        drift = drift - diffusion[:, None, None, None] ** 2 * score
         x_mean = x + drift * dt
 
         # add noise
-        z = torch.randn_like(x)
-        x = x_mean + diffusion[:, None, None, None] * np.sqrt(-dt) * z
+        noise = torch.randn_like(x)
+        x = x_mean + diffusion[:, None, None, None] * np.sqrt(-dt) * noise
 
         return x, x_mean
+
+    def __len__(self):
+        return self.config.num_train_timesteps

src/diffusers/schedulers/scheduling_utils.py

@@ -53,12 +53,22 @@ class SchedulerMixin:
 
         raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
 
+    def long(self, tensor):
+        tensor_format = getattr(self, "tensor_format", "pt")
+
+        if tensor_format == "np":
+            return np.int64(tensor)
+        elif tensor_format == "pt":
+            return tensor.long()
+
+        raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
+
     def match_shape(self, values: Union[np.ndarray, torch.Tensor], broadcast_array: Union[np.ndarray, torch.Tensor]):
         """
         Turns a 1-D array into an array or tensor with len(broadcast_array.shape) dims.
 
         Args:
-            timesteps: an array or tensor of values to extract.
+            values: an array or tensor of values to extract.
             broadcast_array: an array with a larger shape of K dimensions with the batch
                 dimension equal to the length of timesteps.
         Returns:
@@ -74,3 +84,39 @@ class SchedulerMixin:
             values = values.to(broadcast_array.device)
 
         return values
+
+    def norm(self, tensor):
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            return np.linalg.norm(tensor)
+        elif tensor_format == "pt":
+            return torch.norm(tensor.reshape(tensor.shape[0], -1), dim=-1).mean()
+
+        raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
+
+    def randn_like(self, tensor):
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            return np.random.randn(*np.shape(tensor))
+        elif tensor_format == "pt":
+            return torch.randn_like(tensor)
+
+        raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
+
+    def repeat_scalar(self, tensor, count):
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            return np.repeat(tensor, count)
+        elif tensor_format == "pt":
+            return torch.repeat_interleave(tensor, count)
+
+        raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")
+
+    def zeros_like(self, tensor):
+        tensor_format = getattr(self, "tensor_format", "pt")
+        if tensor_format == "np":
+            return np.zeros_like(tensor)
+        elif tensor_format == "pt":
+            return torch.zeros_like(tensor)
+
+        raise ValueError(f"`self.tensor_format`: {self.tensor_format} is not valid.")

tests/test_modeling_utils.py

@@ -1087,11 +1087,16 @@ class PipelineTesterMixin(unittest.TestCase):
         image = sde_ve(num_inference_steps=2)
 
         if model.device.type == "cpu":
-            expected_image_sum = 3384805632.0
-            expected_image_mean = 1076.000732421875
+            # patrick's cpu
+            expected_image_sum = 3384805888.0
+            expected_image_mean = 1076.00085
+
+            # m1 mbp
+            # expected_image_sum = 3384805376.0
+            # expected_image_mean = 1076.000610351562
         else:
             expected_image_sum = 3382849024.0
-            expected_image_mean = 1075.3787841796875
+            expected_image_mean = 1075.3788
 
         assert (image.abs().sum() - expected_image_sum).abs().cpu().item() < 1e-2
         assert (image.abs().mean() - expected_image_mean).abs().cpu().item() < 1e-4
@@ -1109,6 +1114,10 @@ class PipelineTesterMixin(unittest.TestCase):
         expected_image_sum = 4183.2012
         expected_image_mean = 1.3617
 
+        # on m1 mbp
+        # expected_image_sum = 4318.6729
+        # expected_image_mean = 1.4058
+
         assert (image.abs().sum() - expected_image_sum).abs().cpu().item() < 1e-2
         assert (image.abs().mean() - expected_image_mean).abs().cpu().item() < 1e-4
 

tests/test_scheduler.py

@@ -12,15 +12,14 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
-
-
+import pdb
 import tempfile
 import unittest
 
 import numpy as np
 import torch
 
-from diffusers import DDIMScheduler, DDPMScheduler, PNDMScheduler
+from diffusers import DDIMScheduler, DDPMScheduler, PNDMScheduler, ScoreSdeVeScheduler
 
 
 torch.backends.cuda.matmul.allow_tf32 = False
@@ -208,7 +207,7 @@ class DDPMSchedulerTest(SchedulerCommonTest):
 
     def get_scheduler_config(self, **kwargs):
         config = {
-            "timesteps": 1000,
+            "num_train_timesteps": 1000,
             "beta_start": 0.0001,
             "beta_end": 0.02,
             "beta_schedule": "linear",
@@ -221,7 +220,7 @@ class DDPMSchedulerTest(SchedulerCommonTest):
 
     def test_timesteps(self):
         for timesteps in [1, 5, 100, 1000]:
-            self.check_over_configs(timesteps=timesteps)
+            self.check_over_configs(num_train_timesteps=timesteps)
 
     def test_betas(self):
         for beta_start, beta_end in zip([0.0001, 0.001, 0.01, 0.1], [0.002, 0.02, 0.2, 2]):
@@ -288,7 +287,7 @@ class DDIMSchedulerTest(SchedulerCommonTest):
 
     def get_scheduler_config(self, **kwargs):
         config = {
-            "timesteps": 1000,
+            "num_train_timesteps": 1000,
             "beta_start": 0.0001,
             "beta_end": 0.02,
             "beta_schedule": "linear",
@@ -300,7 +299,7 @@ class DDIMSchedulerTest(SchedulerCommonTest):
 
     def test_timesteps(self):
         for timesteps in [100, 500, 1000]:
-            self.check_over_configs(timesteps=timesteps)
+            self.check_over_configs(num_train_timesteps=timesteps)
 
     def test_betas(self):
         for beta_start, beta_end in zip([0.0001, 0.001, 0.01, 0.1], [0.002, 0.02, 0.2, 2]):
@@ -367,7 +366,7 @@ class PNDMSchedulerTest(SchedulerCommonTest):
 
     def get_scheduler_config(self, **kwargs):
         config = {
-            "timesteps": 1000,
+            "num_train_timesteps": 1000,
             "beta_start": 0.0001,
             "beta_end": 0.02,
             "beta_schedule": "linear",
@@ -431,11 +430,11 @@ class PNDMSchedulerTest(SchedulerCommonTest):
 
     def test_timesteps(self):
         for timesteps in [100, 1000]:
-            self.check_over_configs(timesteps=timesteps)
+            self.check_over_configs(num_train_timesteps=timesteps)
 
     def test_timesteps_pmls(self):
         for timesteps in [100, 1000]:
-            self.check_over_configs_pmls(timesteps=timesteps)
+            self.check_over_configs_pmls(num_train_timesteps=timesteps)
 
     def test_betas(self):
         for beta_start, beta_end in zip([0.0001, 0.001, 0.01], [0.002, 0.02, 0.2]):
@@ -507,3 +506,115 @@ class PNDMSchedulerTest(SchedulerCommonTest):
 
         assert abs(result_sum.item() - 199.1169) < 1e-2
         assert abs(result_mean.item() - 0.2593) < 1e-3
+
+
+class ScoreSdeVeSchedulerTest(SchedulerCommonTest):
+    scheduler_classes = (ScoreSdeVeScheduler,)
+
+    def get_scheduler_config(self, **kwargs):
+        config = {
+            "num_train_timesteps": 2000,
+            "snr": 0.15,
+            "sigma_min": 0.01,
+            "sigma_max": 1348,
+            "sampling_eps": 1e-5,
+            "tensor_format": "np",  # TODO add test for tensor formats
+        }
+
+        config.update(**kwargs)
+        return config
+
+    def check_over_configs(self, time_step=0, **config):
+        kwargs = dict(self.forward_default_kwargs)
+
+        for scheduler_class in self.scheduler_classes:
+            scheduler_class = self.scheduler_classes[0]
+            sample = self.dummy_sample
+            residual = 0.1 * sample
+
+            scheduler_config = self.get_scheduler_config(**config)
+            scheduler = scheduler_class(**scheduler_config)
+
+            with tempfile.TemporaryDirectory() as tmpdirname:
+                scheduler.save_config(tmpdirname)
+                new_scheduler = scheduler_class.from_config(tmpdirname)
+
+            output = scheduler.step_pred(residual, sample, time_step, **kwargs)
+            new_output = new_scheduler.step_pred(residual, sample, time_step, **kwargs)
+
+            assert np.sum(np.abs(output - new_output)) < 1e-5, "Scheduler outputs are not identical"
+
+            output = scheduler.step_correct(residual, sample, **kwargs)
+            new_output = new_scheduler.step_correct(residual, sample, **kwargs)
+
+            assert np.sum(np.abs(output - new_output)) < 1e-5, "Scheduler correction are not identical"
+
+    def check_over_forward(self, time_step=0, **forward_kwargs):
+        kwargs = dict(self.forward_default_kwargs)
+        kwargs.update(forward_kwargs)
+
+        for scheduler_class in self.scheduler_classes:
+            sample = self.dummy_sample
+            residual = 0.1 * sample
+
+            scheduler_class = self.scheduler_classes[0]
+            scheduler_config = self.get_scheduler_config()
+            scheduler = scheduler_class(**scheduler_config)
+
+            with tempfile.TemporaryDirectory() as tmpdirname:
+                scheduler.save_config(tmpdirname)
+                new_scheduler = scheduler_class.from_config(tmpdirname)
+
+            output = scheduler.step_pred(residual, sample, time_step, **kwargs)
+            new_output = new_scheduler.step_pred(residual, sample, time_step, **kwargs)
+
+            assert np.sum(np.abs(output - new_output)) < 1e-5, "Scheduler outputs are not identical"
+
+            output = scheduler.step_correct(residual, sample, **kwargs)
+            new_output = new_scheduler.step_correct(residual, sample, **kwargs)
+
+            assert np.sum(np.abs(output - new_output)) < 1e-5, "Scheduler correction are not identical"
+
+    def test_timesteps(self):
+        for timesteps in [10, 100, 1000]:
+            self.check_over_configs(num_train_timesteps=timesteps)
+
+    def test_sigmas(self):
+        for sigma_min, sigma_max in zip([0.0001, 0.001, 0.01], [1, 100, 1000]):
+            self.check_over_configs(sigma_min=sigma_min, sigma_max=sigma_max)
+
+    def test_time_indices(self):
+        for t in [1, 5, 10]:
+            self.check_over_forward(time_step=t)
+
+    def test_full_loop_no_noise(self):
+        np.random.seed(0)
+        scheduler_class = self.scheduler_classes[0]
+        scheduler_config = self.get_scheduler_config()
+        scheduler = scheduler_class(**scheduler_config)
+
+        num_inference_steps = 3
+
+        model = self.dummy_model()
+        sample = self.dummy_sample_deter
+
+        scheduler.set_sigmas(num_inference_steps)
+
+        for i, t in enumerate(scheduler.timesteps):
+            sigma_t = scheduler.sigmas[i]
+
+            for _ in range(scheduler.correct_steps):
+                with torch.no_grad():
+                    result = model(sample, sigma_t)
+                sample = scheduler.step_correct(result, sample)
+
+            with torch.no_grad():
+                result = model(sample, sigma_t)
+
+            sample, sample_mean = scheduler.step_pred(result, sample, t)
+
+        result_sum = np.sum(np.abs(sample))
+        result_mean = np.mean(np.abs(sample))
+
+        assert abs(result_sum.item() - 10629923278.7104) < 1e-2
+        assert abs(result_mean.item() - 13841045.9358) < 1e-3