From 49463992f48ec25f2ea31b220a6cedac3466467a Mon Sep 17 00:00:00 2001
From: Volpeon <git@volpeon.ink>
Date: Wed, 26 Oct 2022 11:11:33 +0200
Subject: New Euler_a scheduler

---
 schedulers/scheduling_euler_a.py                  | 286 ----------------------
 schedulers/scheduling_euler_ancestral_discrete.py | 192 +++++++++++++++
 2 files changed, 192 insertions(+), 286 deletions(-)
 delete mode 100644 schedulers/scheduling_euler_a.py
 create mode 100644 schedulers/scheduling_euler_ancestral_discrete.py

(limited to 'schedulers')

diff --git a/schedulers/scheduling_euler_a.py b/schedulers/scheduling_euler_a.py
deleted file mode 100644
index c097a8a..0000000
--- a/schedulers/scheduling_euler_a.py
+++ /dev/null
@@ -1,286 +0,0 @@
-from typing import Optional, Tuple, Union
-
-import numpy as np
-import torch
-
-from diffusers.configuration_utils import ConfigMixin, register_to_config
-from diffusers.schedulers.scheduling_utils import SchedulerMixin, SchedulerOutput
-
-
-class EulerAScheduler(SchedulerMixin, ConfigMixin):
-    """
-    Stochastic sampling from Karras et al. [1] tailored to the Variance-Expanding (VE) models [2]. Use Algorithm 2 and
-    the VE column of Table 1 from [1] for reference.
-
-    [1] Karras, Tero, et al. "Elucidating the Design Space of Diffusion-Based Generative Models."
-    https://arxiv.org/abs/2206.00364 [2] Song, Yang, et al. "Score-based generative modeling through stochastic
-    differential equations." https://arxiv.org/abs/2011.13456
-
-    [`~ConfigMixin`] takes care of storing all config attributes that are passed in the scheduler's `__init__`
-    function, such as `num_train_timesteps`. They can be accessed via `scheduler.config.num_train_timesteps`.
-    [`~ConfigMixin`] also provides general loading and saving functionality via the [`~ConfigMixin.save_config`] and
-    [`~ConfigMixin.from_config`] functions.
-
-    For more details on the parameters, see the original paper's Appendix E.: "Elucidating the Design Space of
-    Diffusion-Based Generative Models." https://arxiv.org/abs/2206.00364. The grid search values used to find the
-    optimal {s_noise, s_churn, s_min, s_max} for a specific model are described in Table 5 of the paper.
-
-    Args:
-        sigma_min (`float`): minimum noise magnitude
-        sigma_max (`float`): maximum noise magnitude
-        s_noise (`float`): the amount of additional noise to counteract loss of detail during sampling.
-            A reasonable range is [1.000, 1.011].
-        s_churn (`float`): the parameter controlling the overall amount of stochasticity.
-            A reasonable range is [0, 100].
-        s_min (`float`): the start value of the sigma range where we add noise (enable stochasticity).
-            A reasonable range is [0, 10].
-        s_max (`float`): the end value of the sigma range where we add noise.
-            A reasonable range is [0.2, 80].
-
-    """
-
-    @register_to_config
-    def __init__(
-        self,
-        num_train_timesteps: int = 1000,
-        beta_start: float = 0.0001,
-        beta_end: float = 0.02,
-        beta_schedule: str = "linear",
-        trained_betas: Optional[np.ndarray] = None,
-        num_inference_steps=None,
-        device='cuda'
-    ):
-        if trained_betas is not None:
-            self.betas = torch.from_numpy(trained_betas).to(device)
-        if beta_schedule == "linear":
-            self.betas = torch.linspace(beta_start, beta_end, num_train_timesteps, dtype=torch.float32, device=device)
-        elif beta_schedule == "scaled_linear":
-            # this schedule is very specific to the latent diffusion model.
-            self.betas = torch.linspace(beta_start**0.5, beta_end**0.5, num_train_timesteps,
-                                        dtype=torch.float32, device=device) ** 2
-        else:
-            raise NotImplementedError(f"{beta_schedule} does is not implemented for {self.__class__}")
-
-        self.device = device
-
-        self.alphas = 1.0 - self.betas
-        self.alphas_cumprod = torch.cumprod(self.alphas, dim=0)
-
-        # standard deviation of the initial noise distribution
-        self.init_noise_sigma = 1.0
-
-        # setable values
-        self.num_inference_steps = num_inference_steps
-        self.timesteps = np.arange(0, num_train_timesteps)[::-1].copy()
-        # get sigmas
-        self.DSsigmas = ((1 - self.alphas_cumprod) / self.alphas_cumprod) ** 0.5
-        self.sigmas = self.get_sigmas(self.DSsigmas, self.num_inference_steps)
-
-    # A# take number of steps as input
-    # A# store 1) number of steps 2) timesteps 3) schedule
-
-    def set_timesteps(self, num_inference_steps: int, device: Union[str, torch.device] = None, **kwargs):
-        """
-        Sets the discrete timesteps used for the diffusion chain. Supporting function to be run before inference.
-
-        Args:
-            num_inference_steps (`int`):
-                the number of diffusion steps used when generating samples with a pre-trained model.
-        """
-
-        self.num_inference_steps = num_inference_steps
-        self.DSsigmas = ((1 - self.alphas_cumprod) / self.alphas_cumprod) ** 0.5
-        self.sigmas = self.get_sigmas(self.DSsigmas, self.num_inference_steps)
-        self.timesteps = self.sigmas[:-1]
-        self.is_scale_input_called = False
-
-    def scale_model_input(self, sample: torch.FloatTensor, timestep: int) -> torch.FloatTensor:
-        """
-        Ensures interchangeability with schedulers that need to scale the denoising model input depending on the
-        current timestep.
-        Args:
-            sample (`torch.FloatTensor`): input sample
-            timestep (`int`, optional): current timestep
-        Returns:
-            `torch.FloatTensor`: scaled input sample
-        """
-        if isinstance(timestep, torch.Tensor):
-            timestep = timestep.to(self.timesteps.device)
-        if self.is_scale_input_called:
-            return sample
-        step_index = (self.timesteps == timestep).nonzero().item()
-        sigma = self.sigmas[step_index]
-        sample = sample * sigma
-        self.is_scale_input_called = True
-        return sample
-
-    def step(
-        self,
-        model_output: torch.FloatTensor,
-        timestep: Union[float, torch.FloatTensor],
-        sample: torch.FloatTensor,
-        generator: torch.Generator = None,
-        return_dict: bool = True,
-    ) -> Union[SchedulerOutput, Tuple]:
-        """
-        Predict the sample at the previous timestep by reversing the SDE. Core function to propagate the diffusion
-        process from the learned model outputs (most often the predicted noise).
-
-        Args:
-            model_output (`torch.FloatTensor`): direct output from learned diffusion model.
-            sigma_hat (`float`): TODO
-            sigma_prev (`float`): TODO
-            sample_hat (`torch.FloatTensor`): TODO
-            return_dict (`bool`): option for returning tuple rather than SchedulerOutput class
-
-            EulerAOutput: updated sample in the diffusion chain and derivative (TODO double check).
-        Returns:
-            [`~schedulers.scheduling_karras_ve.EulerAOutput`] or `tuple`:
-            [`~schedulers.scheduling_karras_ve.EulerAOutput`] if `return_dict` is True, otherwise a `tuple`. When
-            returning a tuple, the first element is the sample tensor.
-
-        """
-        if isinstance(timestep, torch.Tensor):
-            timestep = timestep.to(self.timesteps.device)
-        step_index = (self.timesteps == timestep).nonzero().item()
-        step_prev_index = step_index + 1
-
-        s = self.sigmas[step_index]
-        s_prev = self.sigmas[step_prev_index]
-        latents = sample
-
-        sigma_down, sigma_up = self.get_ancestral_step(s, s_prev)
-        d = self.to_d(latents, s, model_output)
-        dt = sigma_down - s
-        latents = latents + d * dt
-        latents = latents + torch.randn(latents.shape, layout=latents.layout, device=latents.device, dtype=latents.dtype,
-                                        generator=generator) * sigma_up
-
-        return SchedulerOutput(prev_sample=latents)
-
-    def step_correct(
-        self,
-        model_output: torch.FloatTensor,
-        sigma_hat: float,
-        sigma_prev: float,
-        sample_hat: torch.FloatTensor,
-        sample_prev: torch.FloatTensor,
-        derivative: torch.FloatTensor,
-        return_dict: bool = True,
-    ) -> Union[SchedulerOutput, Tuple]:
-        """
-        Correct the predicted sample based on the output model_output of the network. TODO complete description
-
-        Args:
-            model_output (`torch.FloatTensor`): direct output from learned diffusion model.
-            sigma_hat (`float`): TODO
-            sigma_prev (`float`): TODO
-            sample_hat (`torch.FloatTensor`): TODO
-            sample_prev (`torch.FloatTensor`): TODO
-            derivative (`torch.FloatTensor`): TODO
-            return_dict (`bool`): option for returning tuple rather than SchedulerOutput class
-
-        Returns:
-            prev_sample (TODO): updated sample in the diffusion chain. derivative (TODO): TODO
-
-        """
-        pred_original_sample = sample_prev + sigma_prev * model_output
-        derivative_corr = (sample_prev - pred_original_sample) / sigma_prev
-        sample_prev = sample_hat + (sigma_prev - sigma_hat) * (0.5 * derivative + 0.5 * derivative_corr)
-
-        if not return_dict:
-            return (sample_prev, derivative)
-
-        return SchedulerOutput(prev_sample=sample_prev)
-
-    def add_noise(
-        self,
-        original_samples: torch.FloatTensor,
-        noise: torch.FloatTensor,
-        timesteps: torch.FloatTensor,
-    ) -> torch.FloatTensor:
-        sigmas = self.sigmas.to(original_samples.device)
-        schedule_timesteps = self.timesteps.to(original_samples.device)
-        timesteps = timesteps.to(original_samples.device)
-        step_indices = [(schedule_timesteps == t).nonzero().item() for t in timesteps]
-
-        sigma = sigmas[step_indices].flatten()
-        while len(sigma.shape) < len(original_samples.shape):
-            sigma = sigma.unsqueeze(-1)
-
-        noisy_samples = original_samples + noise * sigma
-        self.is_scale_input_called = True
-        return noisy_samples
-
-    # from k_samplers sampling.py
-
-    def get_ancestral_step(self, sigma_from, sigma_to):
-        """Calculates the noise level (sigma_down) to step down to and the amount
-        of noise to add (sigma_up) when doing an ancestral sampling step."""
-        sigma_up = (sigma_to ** 2 * (sigma_from ** 2 - sigma_to ** 2) / sigma_from ** 2) ** 0.5
-        sigma_down = (sigma_to ** 2 - sigma_up ** 2) ** 0.5
-        return sigma_down, sigma_up
-
-    def t_to_sigma(self, t, sigmas):
-        t = t.float()
-        low_idx, high_idx, w = t.floor().long(), t.ceil().long(), t.frac()
-        return (1 - w) * sigmas[low_idx] + w * sigmas[high_idx]
-
-    def append_zero(self, x):
-        return torch.cat([x, x.new_zeros([1])])
-
-    def get_sigmas(self, sigmas, n=None):
-        if n is None:
-            return self.append_zero(sigmas.flip(0))
-        t_max = len(sigmas) - 1  # = 999
-        device = self.device
-        t = torch.linspace(t_max, 0, n, device=device)
-        # t = torch.linspace(t_max, 0, n, device=sigmas.device)
-        return self.append_zero(self.t_to_sigma(t, sigmas))
-
-    # from k_samplers utils.py
-    def append_dims(self, x, target_dims):
-        """Appends dimensions to the end of a tensor until it has target_dims dimensions."""
-        dims_to_append = target_dims - x.ndim
-        if dims_to_append < 0:
-            raise ValueError(f'input has {x.ndim} dims but target_dims is {target_dims}, which is less')
-        return x[(...,) + (None,) * dims_to_append]
-
-    # from k_samplers sampling.py
-    def to_d(self, x, sigma, denoised):
-        """Converts a denoiser output to a Karras ODE derivative."""
-        return (x - denoised) / self.append_dims(sigma, x.ndim)
-
-    def get_scalings(self, sigma):
-        sigma_data = 1.
-        c_out = -sigma
-        c_in = 1 / (sigma ** 2 + sigma_data ** 2) ** 0.5
-        return c_out, c_in
-
-    # DiscreteSchedule DS
-    def DSsigma_to_t(self, sigma, quantize=None):
-        # quantize = self.quantize if quantize is None else quantize
-        quantize = False
-        dists = torch.abs(sigma - self.DSsigmas[:, None])
-        if quantize:
-            return torch.argmin(dists, dim=0).view(sigma.shape)
-        low_idx, high_idx = torch.sort(torch.topk(dists, dim=0, k=2, largest=False).indices, dim=0)[0]
-        low, high = self.DSsigmas[low_idx], self.DSsigmas[high_idx]
-        w = (low - sigma) / (low - high)
-        w = w.clamp(0, 1)
-        t = (1 - w) * low_idx + w * high_idx
-        return t.view(sigma.shape)
-
-    def prepare_input(self, latent_in, t, batch_size):
-        sigma = t.reshape(1)  # A# potential bug: doesn't work on samples > 1
-
-        sigma_in = torch.cat([sigma] * 2 * batch_size)
-        # noise_pred = CFGDenoiserForward(self.unet, latent_model_input, sigma_in, text_embeddings , guidance_scale,DSsigmas=self.scheduler.DSsigmas)
-        # noise_pred = DiscreteEpsDDPMDenoiserForward(self.unet,latent_model_input, sigma_in,DSsigmas=self.scheduler.DSsigmas, cond=cond_in)
-        c_out, c_in = [self.append_dims(x, latent_in.ndim) for x in self.get_scalings(sigma_in)]
-
-        sigma_in = self.DSsigma_to_t(sigma_in)
-        # s_in = latent_in.new_ones([latent_in.shape[0]])
-        # sigma_in = sigma_in * s_in
-
-        return c_out, c_in, sigma_in
diff --git a/schedulers/scheduling_euler_ancestral_discrete.py b/schedulers/scheduling_euler_ancestral_discrete.py
new file mode 100644
index 0000000..3a2de68
--- /dev/null
+++ b/schedulers/scheduling_euler_ancestral_discrete.py
@@ -0,0 +1,192 @@
+# Copyright 2022 Katherine Crowson, The HuggingFace Team and hlky. All rights reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# 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.
+
+from typing import Optional, Tuple, Union
+
+import numpy as np
+import torch
+
+from diffusers.configuration_utils import ConfigMixin, register_to_config
+from diffusers.schedulers.scheduling_utils import SchedulerMixin, SchedulerOutput
+
+
+class EulerAncestralDiscreteScheduler(SchedulerMixin, ConfigMixin):
+    """
+    Ancestral sampling with Euler method steps.
+    for discrete beta schedules. Based on the original k-diffusion implementation by
+    Katherine Crowson:
+    https://github.com/crowsonkb/k-diffusion/blob/481677d114f6ea445aa009cf5bd7a9cdee909e47/k_diffusion/sampling.py#L72
+
+    [`~ConfigMixin`] takes care of storing all config attributes that are passed in the scheduler's `__init__`
+    function, such as `num_train_timesteps`. They can be accessed via `scheduler.config.num_train_timesteps`.
+    [`~ConfigMixin`] also provides general loading and saving functionality via the [`~ConfigMixin.save_config`] and
+    [`~ConfigMixin.from_config`] functions.
+
+    Args:
+        num_train_timesteps (`int`): number of diffusion steps used to train the model.
+        beta_start (`float`): the starting `beta` value of inference.
+        beta_end (`float`): the final `beta` value.
+        beta_schedule (`str`):
+            the beta schedule, a mapping from a beta range to a sequence of betas for stepping the model. Choose from
+            `linear` or `scaled_linear`.
+        trained_betas (`np.ndarray`, optional):
+            option to pass an array of betas directly to the constructor to bypass `beta_start`, `beta_end` etc.
+            options to clip the variance used when adding noise to the denoised sample. Choose from `fixed_small`,
+            `fixed_small_log`, `fixed_large`, `fixed_large_log`, `learned` or `learned_range`.
+        tensor_format (`str`): whether the scheduler expects pytorch or numpy arrays.
+
+    """
+
+    @register_to_config
+    def __init__(
+        self,
+        num_train_timesteps: int = 1000,
+        beta_start: float = 0.00085,  # sensible defaults
+        beta_end: float = 0.012,
+        beta_schedule: str = "linear",
+        trained_betas: Optional[np.ndarray] = None,
+    ):
+        if trained_betas is not None:
+            self.betas = torch.from_numpy(trained_betas)
+        elif beta_schedule == "linear":
+            self.betas = torch.linspace(beta_start, beta_end, num_train_timesteps, dtype=torch.float32)
+        elif beta_schedule == "scaled_linear":
+            # this schedule is very specific to the latent diffusion model.
+            self.betas = (
+                torch.linspace(beta_start**0.5, beta_end**0.5, num_train_timesteps, dtype=torch.float32) ** 2
+            )
+        else:
+            raise NotImplementedError(f"{beta_schedule} does is not implemented for {self.__class__}")
+
+        self.alphas = 1.0 - self.betas
+        self.alphas_cumprod = torch.cumprod(self.alphas, dim=0)
+
+        sigmas = np.array(((1 - self.alphas_cumprod) / self.alphas_cumprod) ** 0.5)
+        sigmas = np.concatenate([sigmas[::-1], [0.0]]).astype(np.float32)
+        self.sigmas = torch.from_numpy(sigmas)
+
+        self.init_noise_sigma = None
+
+        # setable values
+        self.num_inference_steps = None
+        timesteps = np.arange(0, num_train_timesteps)[::-1].copy()
+        self.timesteps = torch.from_numpy(timesteps)
+        self.derivatives = []
+        self.is_scale_input_called = False
+
+    def scale_model_input(
+        self, sample: torch.FloatTensor, timestep: Union[float, torch.FloatTensor], step_index: Union[int, torch.IntTensor]
+    ) -> torch.FloatTensor:
+        """
+        Scales the denoising model input by `(sigma**2 + 1) ** 0.5` to match the K-LMS algorithm.
+
+        Args:
+            sample (`torch.FloatTensor`): input sample
+            timestep (`float` or `torch.FloatTensor`): the current timestep in the diffusion chain
+
+        Returns:
+            `torch.FloatTensor`: scaled input sample
+        """
+        sigma = self.sigmas[step_index]
+        sample = sample / ((sigma**2 + 1) ** 0.5)
+        return sample
+
+    def set_timesteps(self, num_inference_steps: int, device: Union[str, torch.device] = None):
+        """
+        Sets the timesteps used for the diffusion chain. Supporting function to be run before inference.
+
+        Args:
+            num_inference_steps (`int`):
+                the number of diffusion steps used when generating samples with a pre-trained model.
+        """
+        self.num_inference_steps = num_inference_steps
+        self.timesteps = np.linspace(self.num_train_timesteps - 1, 0, num_inference_steps, dtype=float)
+
+        low_idx = np.floor(self.timesteps).astype(int)
+        high_idx = np.ceil(self.timesteps).astype(int)
+        frac = np.mod(self.timesteps, 1.0)
+        sigmas = np.array(((1 - self.alphas_cumprod) / self.alphas_cumprod) ** 0.5)
+        sigmas = (1 - frac) * sigmas[low_idx] + frac * sigmas[high_idx]
+        sigmas = np.concatenate([sigmas, [0.0]]).astype(np.float32)
+        self.sigmas = torch.from_numpy(sigmas)
+        self.timesteps = torch.from_numpy(self.timesteps)
+        self.init_noise_sigma = self.sigmas[0]
+        self.derivatives = []
+
+    def step(
+        self,
+        model_output: Union[torch.FloatTensor, np.ndarray],
+        timestep: Union[float, torch.FloatTensor],
+        step_index: Union[int, torch.IntTensor],
+        sample: Union[torch.FloatTensor, np.ndarray],
+        return_dict: bool = True,
+    ) -> Union[SchedulerOutput, Tuple]:
+        """
+        Predict the sample at the previous timestep by reversing the SDE. Core function to propagate the diffusion
+        process from the learned model outputs (most often the predicted noise).
+
+        Args:
+            model_output (`torch.FloatTensor` or `np.ndarray`): direct output from learned diffusion model.
+            timestep (`int`): current discrete timestep in the diffusion chain.
+            sample (`torch.FloatTensor` or `np.ndarray`):
+                current instance of sample being created by diffusion process.
+            return_dict (`bool`): option for returning tuple rather than SchedulerOutput class
+
+        Returns:
+            [`~schedulers.scheduling_utils.SchedulerOutput`] or `tuple`:
+            [`~schedulers.scheduling_utils.SchedulerOutput`] if `return_dict` is True, otherwise a `tuple`. When
+            returning a tuple, the first element is the sample tensor.
+
+        """
+        sigma = self.sigmas[step_index]
+
+        # 1. compute predicted original sample (x_0) from sigma-scaled predicted noise
+        pred_original_sample = sample - sigma * model_output
+        sigma_from = self.sigmas[step_index]
+        sigma_to = self.sigmas[step_index + 1]
+        sigma_up = (sigma_to ** 2 * (sigma_from ** 2 - sigma_to ** 2) / sigma_from ** 2) ** 0.5
+        sigma_down = (sigma_to ** 2 - sigma_up ** 2) ** 0.5
+        # 2. Convert to an ODE derivative
+        derivative = (sample - pred_original_sample) / sigma
+        self.derivatives.append(derivative)
+
+        dt = sigma_down - sigma
+
+        prev_sample = sample + derivative * dt
+
+        prev_sample = prev_sample + torch.randn_like(prev_sample) * sigma_up
+
+        if not return_dict:
+            return (prev_sample,)
+
+        return SchedulerOutput(prev_sample=prev_sample)
+
+    def add_noise(
+        self,
+        original_samples: torch.FloatTensor,
+        noise: torch.FloatTensor,
+        timesteps: torch.IntTensor,
+    ) -> torch.FloatTensor:
+        # Make sure sigmas and timesteps have the same device and dtype as original_samples
+        self.sigmas = self.sigmas.to(device=original_samples.device, dtype=original_samples.dtype)
+        self.timesteps = self.timesteps.to(original_samples.device)
+        sigma = self.sigmas[timesteps].flatten()
+        while len(sigma.shape) < len(original_samples.shape):
+            sigma = sigma.unsqueeze(-1)
+
+        noisy_samples = original_samples + noise * sigma
+        return noisy_samples
+
+    def __len__(self):
+        return self.config.num_train_timesteps
-- 
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