From d09f549e862c58ca87c195d4050e77b20a126a38 Mon Sep 17 00:00:00 2001
From: bastefaniak <bstefaniak@nvidia.com>
Date: Fri, 17 Jul 2026 20:38:04 +0200
Subject: [PATCH] [bugfix] Use FlowMatchEulerDiscreteScheduler from diffusers
 0.39.0 with correct RNG handling for upcoming Cosmos3 distilled models
 (#5176)

Signed-off-by: Bartosz Stefaniak <bstefaniak@nvidia.com>
---
 .../models/cosmos3/pipeline_cosmos3.py        |   4 +-
 .../diffusion/models/schedulers/__init__.py   |   4 +
 .../scheduling_flow_match_euler_discrete.py   | 660 ++++++++++++++++++
 3 files changed, 667 insertions(+), 1 deletion(-)
 create mode 100644 vllm_omni/diffusion/models/schedulers/scheduling_flow_match_euler_discrete.py

diff --git a/vllm_omni/diffusion/models/cosmos3/pipeline_cosmos3.py b/vllm_omni/diffusion/models/cosmos3/pipeline_cosmos3.py
index 58e74ccf4..41a3e80fc 100644
--- a/vllm_omni/diffusion/models/cosmos3/pipeline_cosmos3.py
+++ b/vllm_omni/diffusion/models/cosmos3/pipeline_cosmos3.py
@@ -40,7 +40,6 @@ from typing import Any, ClassVar
 import numpy as np
 import PIL.Image
 import torch
-from diffusers import FlowMatchEulerDiscreteScheduler
 from diffusers.utils.torch_utils import randn_tensor
 from diffusers.video_processor import VideoProcessor
 from torch import nn
@@ -62,6 +61,9 @@ from vllm_omni.diffusion.models.interface import (
     SupportsComponentDiscovery,
 )
 from vllm_omni.diffusion.models.progress_bar import ProgressBarMixin, _is_rank_zero
+from vllm_omni.diffusion.models.schedulers.scheduling_flow_match_euler_discrete import (
+    FlowMatchEulerDiscreteScheduler,
+)
 from vllm_omni.diffusion.models.schedulers.scheduling_flow_unipc_multistep import (
     FlowUniPCMultistepScheduler,
 )
diff --git a/vllm_omni/diffusion/models/schedulers/__init__.py b/vllm_omni/diffusion/models/schedulers/__init__.py
index e683ed272..11aedcb1d 100644
--- a/vllm_omni/diffusion/models/schedulers/__init__.py
+++ b/vllm_omni/diffusion/models/schedulers/__init__.py
@@ -2,11 +2,15 @@
 # SPDX-FileCopyrightText: Copyright contributors to the vLLM project
 
 from vllm_omni.diffusion.models.schedulers.scheduling_dmd2_euler import DMD2EulerScheduler
+from vllm_omni.diffusion.models.schedulers.scheduling_flow_match_euler_discrete import (
+    FlowMatchEulerDiscreteScheduler,
+)
 from vllm_omni.diffusion.models.schedulers.scheduling_flow_unipc_multistep import (
     FlowUniPCMultistepScheduler,
 )
 
 __all__ = [
     "DMD2EulerScheduler",
+    "FlowMatchEulerDiscreteScheduler",
     "FlowUniPCMultistepScheduler",
 ]
diff --git a/vllm_omni/diffusion/models/schedulers/scheduling_flow_match_euler_discrete.py b/vllm_omni/diffusion/models/schedulers/scheduling_flow_match_euler_discrete.py
new file mode 100644
index 000000000..8aa7d3a00
--- /dev/null
+++ b/vllm_omni/diffusion/models/schedulers/scheduling_flow_match_euler_discrete.py
@@ -0,0 +1,660 @@
+# SPDX-License-Identifier: Apache-2.0
+# SPDX-FileCopyrightText: Copyright contributors to the vLLM-Omni project
+# Originally from https://github.com/huggingface/diffusers/blob/v0.39.0/src/diffusers/schedulers/scheduling_flow_match_euler_discrete.py
+# Copyright 2025 Stability AI, Katherine Crowson and The HuggingFace Team. 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.
+
+"""Flow Match Euler scheduler copied from Diffusers v0.39.0.
+
+Modified by vLLM-Omni contributors for local integration and RNG compatibility.
+"""
+
+import math
+from dataclasses import dataclass
+from typing import Literal
+
+import numpy as np
+import torch
+from diffusers.configuration_utils import ConfigMixin, register_to_config
+from diffusers.schedulers.scheduling_utils import SchedulerMixin
+from diffusers.utils import BaseOutput, is_scipy_available, logging
+from diffusers.utils.torch_utils import randn_tensor
+
+if is_scipy_available():
+    import scipy.stats
+
+logger = logging.get_logger(__name__)  # pylint: disable=invalid-name
+
+
+@dataclass
+class FlowMatchEulerDiscreteSchedulerOutput(BaseOutput):
+    """
+    Output class for the scheduler's `step` function output.
+
+    Args:
+        prev_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):
+            Computed sample `(x_{t-1})` of previous timestep. `prev_sample` should be used as next model input in the
+            denoising loop.
+    """
+
+    prev_sample: torch.FloatTensor
+
+
+class FlowMatchEulerDiscreteScheduler(SchedulerMixin, ConfigMixin):
+    """
+    Euler scheduler.
+
+    This model inherits from [`SchedulerMixin`] and [`ConfigMixin`]. Check the superclass documentation for the generic
+    methods the library implements for all schedulers such as loading and saving.
+
+    Args:
+        num_train_timesteps (`int`, defaults to 1000):
+            The number of diffusion steps to train the model.
+        shift (`float`, defaults to 1.0):
+            The shift value for the timestep schedule.
+        use_dynamic_shifting (`bool`, defaults to False):
+            Whether to apply timestep shifting on-the-fly based on the image resolution.
+        base_shift (`float`, defaults to 0.5):
+            Value to stabilize image generation. Increasing `base_shift` reduces variation and image is more consistent
+            with desired output.
+        max_shift (`float`, defaults to 1.15):
+            Value change allowed to latent vectors. Increasing `max_shift` encourages more variation and image may be
+            more exaggerated or stylized.
+        base_image_seq_len (`int`, defaults to 256):
+            The base image sequence length.
+        max_image_seq_len (`int`, defaults to 4096):
+            The maximum image sequence length.
+        invert_sigmas (`bool`, defaults to False):
+            Whether to invert the sigmas.
+        shift_terminal (`float`, defaults to None):
+            The end value of the shifted timestep schedule.
+        use_karras_sigmas (`bool`, defaults to False):
+            Whether to use Karras sigmas for step sizes in the noise schedule during sampling.
+        use_exponential_sigmas (`bool`, defaults to False):
+            Whether to use exponential sigmas for step sizes in the noise schedule during sampling.
+        use_beta_sigmas (`bool`, defaults to False):
+            Whether to use beta sigmas for step sizes in the noise schedule during sampling.
+        time_shift_type (`str`, defaults to "exponential"):
+            The type of dynamic resolution-dependent timestep shifting to apply. Either "exponential" or "linear".
+        stochastic_sampling (`bool`, defaults to False):
+            Whether to use stochastic sampling.
+    """
+
+    _compatibles = []
+    order = 1
+
+    @register_to_config
+    def __init__(
+        self,
+        num_train_timesteps: int = 1000,
+        shift: float = 1.0,
+        use_dynamic_shifting: bool = False,
+        base_shift: float | None = 0.5,
+        max_shift: float | None = 1.15,
+        base_image_seq_len: int = 256,
+        max_image_seq_len: int = 4096,
+        invert_sigmas: bool = False,
+        shift_terminal: float = None,
+        use_karras_sigmas: bool = False,
+        use_exponential_sigmas: bool = False,
+        use_beta_sigmas: bool = False,
+        time_shift_type: Literal["exponential", "linear"] = "exponential",
+        stochastic_sampling: bool = False,
+    ):
+        if self.config.use_beta_sigmas and not is_scipy_available():
+            raise ImportError("Make sure to install scipy if you want to use beta sigmas.")
+        if (
+            sum(
+                [
+                    self.config.use_beta_sigmas,
+                    self.config.use_exponential_sigmas,
+                    self.config.use_karras_sigmas,
+                ]
+            )
+            > 1
+        ):
+            raise ValueError(
+                "Only one of `config.use_beta_sigmas`, `config.use_exponential_sigmas`, "
+                "`config.use_karras_sigmas` can be used."
+            )
+        if time_shift_type not in {"exponential", "linear"}:
+            raise ValueError("`time_shift_type` must either be 'exponential' or 'linear'.")
+
+        timesteps = np.linspace(1, num_train_timesteps, num_train_timesteps, dtype=np.float32)[::-1].copy()
+        timesteps = torch.from_numpy(timesteps).to(dtype=torch.float32)
+
+        sigmas = timesteps / num_train_timesteps
+        if not use_dynamic_shifting:
+            # when use_dynamic_shifting is True, we apply the timestep shifting on the fly based on the image resolution
+            sigmas = shift * sigmas / (1 + (shift - 1) * sigmas)
+
+        self.timesteps = sigmas * num_train_timesteps
+
+        self._step_index = None
+        self._begin_index = None
+
+        self._shift = shift
+
+        self.sigmas = sigmas.to("cpu")  # to avoid too much CPU/GPU communication
+        self.sigma_min = self.sigmas[-1].item()
+        self.sigma_max = self.sigmas[0].item()
+
+    @property
+    def shift(self):
+        """
+        The value used for shifting.
+        """
+        return self._shift
+
+    @property
+    def step_index(self):
+        """
+        The index counter for current timestep. It will increase 1 after each scheduler step.
+        """
+        return self._step_index
+
+    @property
+    def begin_index(self):
+        """
+        The index for the first timestep. It should be set from pipeline with `set_begin_index` method.
+        """
+        return self._begin_index
+
+    # Copied from diffusers.schedulers.scheduling_dpmsolver_multistep.DPMSolverMultistepScheduler.set_begin_index
+    def set_begin_index(self, begin_index: int = 0):
+        """
+        Sets the begin index for the scheduler. This function should be run from pipeline before the inference.
+
+        Args:
+            begin_index (`int`, defaults to `0`):
+                The begin index for the scheduler.
+        """
+        self._begin_index = begin_index
+
+    def set_shift(self, shift: float):
+        """
+        Sets the shift value for the scheduler.
+
+        Args:
+            shift (`float`):
+                The shift value to be set.
+        """
+        self._shift = shift
+
+    def scale_noise(
+        self,
+        sample: torch.FloatTensor,
+        timestep: float | torch.FloatTensor,
+        noise: torch.FloatTensor | None = None,
+    ) -> torch.FloatTensor:
+        """
+        Forward process in flow-matching
+
+        Args:
+            sample (`torch.FloatTensor`):
+                The input sample.
+            timestep (`torch.FloatTensor`):
+                The current timestep in the diffusion chain.
+            noise (`torch.FloatTensor`):
+                The noise tensor.
+
+        Returns:
+            `torch.FloatTensor`:
+                A scaled input sample.
+        """
+        # Make sure sigmas and timesteps have the same device and dtype as original_samples
+        sigmas = self.sigmas.to(device=sample.device, dtype=sample.dtype)
+
+        if sample.device.type == "mps" and torch.is_floating_point(timestep):
+            # mps does not support float64
+            schedule_timesteps = self.timesteps.to(sample.device, dtype=torch.float32)
+            timestep = timestep.to(sample.device, dtype=torch.float32)
+        else:
+            schedule_timesteps = self.timesteps.to(sample.device)
+            timestep = timestep.to(sample.device)
+
+        # self.begin_index is None when scheduler is used for training, or pipeline does not implement set_begin_index
+        if self.begin_index is None:
+            step_indices = [self.index_for_timestep(t, schedule_timesteps) for t in timestep]
+        elif self.step_index is not None:
+            # add_noise is called after first denoising step (for inpainting)
+            step_indices = [self.step_index] * timestep.shape[0]
+        else:
+            # add noise is called before first denoising step to create initial latent(img2img)
+            step_indices = [self.begin_index] * timestep.shape[0]
+
+        sigma = sigmas[step_indices].flatten()
+        while len(sigma.shape) < len(sample.shape):
+            sigma = sigma.unsqueeze(-1)
+
+        sample = sigma * noise + (1.0 - sigma) * sample
+
+        return sample
+
+    def _sigma_to_t(self, sigma) -> float:
+        return sigma * self.config.num_train_timesteps
+
+    def time_shift(self, mu: float, sigma: float, t: torch.Tensor) -> torch.Tensor:
+        """
+        Apply time shifting to the sigmas.
+
+        Args:
+            mu (`float`):
+                The mu parameter for the time shift.
+            sigma (`float`):
+                The sigma parameter for the time shift.
+            t (`torch.Tensor`):
+                The input timesteps.
+
+        Returns:
+            `torch.Tensor`:
+                The time-shifted timesteps.
+        """
+        if self.config.time_shift_type == "exponential":
+            return self._time_shift_exponential(mu, sigma, t)
+        elif self.config.time_shift_type == "linear":
+            return self._time_shift_linear(mu, sigma, t)
+
+    def stretch_shift_to_terminal(self, t: torch.Tensor) -> torch.Tensor:
+        r"""
+        Stretches and shifts the timestep schedule to ensure it terminates at the configured `shift_terminal` config
+        value.
+
+        Reference:
+        https://github.com/Lightricks/LTX-Video/blob/a01a171f8fe3d99dce2728d60a73fecf4d4238ae/ltx_video/schedulers/rf.py#L51
+
+        Args:
+            t (`torch.Tensor`):
+                A tensor of timesteps to be stretched and shifted.
+
+        Returns:
+            `torch.Tensor`:
+                A tensor of adjusted timesteps such that the final value equals `self.config.shift_terminal`.
+        """
+        one_minus_z = 1 - t
+        scale_factor = one_minus_z[-1] / (1 - self.config.shift_terminal)
+        stretched_t = 1 - (one_minus_z / scale_factor)
+        return stretched_t
+
+    def set_timesteps(
+        self,
+        num_inference_steps: int | None = None,
+        device: str | torch.device = None,
+        sigmas: list[float] | None = None,
+        mu: float | None = None,
+        timesteps: list[float] | None = None,
+    ):
+        """
+        Sets the discrete timesteps used for the diffusion chain (to be run before inference).
+
+        Args:
+            num_inference_steps (`int`, *optional*):
+                The number of diffusion steps used when generating samples with a pre-trained model.
+            device (`str` or `torch.device`, *optional*):
+                The device to which the timesteps should be moved to. If `None`, the timesteps are not moved.
+            sigmas (`list[float]`, *optional*):
+                Custom values for sigmas to be used for each diffusion step. If `None`, the sigmas are computed
+                automatically.
+            mu (`float`, *optional*):
+                Determines the amount of shifting applied to sigmas when performing resolution-dependent timestep
+                shifting.
+            timesteps (`list[float]`, *optional*):
+                Custom values for timesteps to be used for each diffusion step. If `None`, the timesteps are computed
+                automatically.
+        """
+        if self.config.use_dynamic_shifting and mu is None:
+            raise ValueError("`mu` must be passed when `use_dynamic_shifting` is set to be `True`")
+
+        if sigmas is not None and timesteps is not None:
+            if len(sigmas) != len(timesteps):
+                raise ValueError("`sigmas` and `timesteps` should have the same length")
+
+        if num_inference_steps is not None:
+            if (sigmas is not None and len(sigmas) != num_inference_steps) or (
+                timesteps is not None and len(timesteps) != num_inference_steps
+            ):
+                raise ValueError(
+                    "`sigmas` and `timesteps` should have the same length as num_inference_steps, "
+                    "if `num_inference_steps` is provided"
+                )
+        else:
+            num_inference_steps = len(sigmas) if sigmas is not None else len(timesteps)
+
+        self.num_inference_steps = num_inference_steps
+
+        # 1. Prepare default sigmas
+        is_timesteps_provided = timesteps is not None
+
+        if is_timesteps_provided:
+            timesteps = np.array(timesteps).astype(np.float32)
+
+        if sigmas is None:
+            if timesteps is None:
+                timesteps = np.linspace(
+                    self._sigma_to_t(self.sigma_max),
+                    self._sigma_to_t(self.sigma_min),
+                    num_inference_steps,
+                )
+            sigmas = timesteps / self.config.num_train_timesteps
+        else:
+            sigmas = np.array(sigmas).astype(np.float32)
+            num_inference_steps = len(sigmas)
+
+        # 2. Perform timestep shifting. Either no shifting is applied, or resolution-dependent shifting of
+        #    "exponential" or "linear" type is applied
+        if self.config.use_dynamic_shifting:
+            sigmas = self.time_shift(mu, 1.0, sigmas)
+        else:
+            sigmas = self.shift * sigmas / (1 + (self.shift - 1) * sigmas)
+
+        # 3. If required, stretch the sigmas schedule to terminate at the configured `shift_terminal` value
+        if self.config.shift_terminal:
+            sigmas = self.stretch_shift_to_terminal(sigmas)
+
+        # 4. If required, convert sigmas to one of karras, exponential, or beta sigma schedules
+        if self.config.use_karras_sigmas:
+            sigmas = self._convert_to_karras(in_sigmas=sigmas, num_inference_steps=num_inference_steps)
+        elif self.config.use_exponential_sigmas:
+            sigmas = self._convert_to_exponential(in_sigmas=sigmas, num_inference_steps=num_inference_steps)
+        elif self.config.use_beta_sigmas:
+            sigmas = self._convert_to_beta(in_sigmas=sigmas, num_inference_steps=num_inference_steps)
+
+        # 5. Convert sigmas and timesteps to tensors and move to specified device
+        sigmas = torch.from_numpy(sigmas).to(dtype=torch.float32, device=device)
+        if not is_timesteps_provided:
+            timesteps = sigmas * self.config.num_train_timesteps
+        else:
+            timesteps = torch.from_numpy(timesteps).to(dtype=torch.float32, device=device)
+
+        # 6. Append the terminal sigma value.
+        #    If a model requires inverted sigma schedule for denoising but timesteps without inversion, the
+        #    `invert_sigmas` flag can be set to `True`. This case is only required in Mochi
+        if self.config.invert_sigmas:
+            sigmas = 1.0 - sigmas
+            timesteps = sigmas * self.config.num_train_timesteps
+            sigmas = torch.cat([sigmas, torch.ones(1, device=sigmas.device)])
+        else:
+            sigmas = torch.cat([sigmas, torch.zeros(1, device=sigmas.device)])
+
+        self.timesteps = timesteps
+        self.sigmas = sigmas
+        self._step_index = None
+        self._begin_index = None
+
+    def index_for_timestep(
+        self,
+        timestep: float | torch.FloatTensor,
+        schedule_timesteps: torch.FloatTensor | None = None,
+    ) -> int:
+        """
+        Get the index for the given timestep.
+
+        Args:
+            timestep (`float` or `torch.FloatTensor`):
+                The timestep to find the index for.
+            schedule_timesteps (`torch.FloatTensor`, *optional*):
+                The schedule timesteps to validate against. If `None`, the scheduler's timesteps are used.
+
+        Returns:
+            `int`:
+                The index of the timestep.
+        """
+        if schedule_timesteps is None:
+            schedule_timesteps = self.timesteps
+
+        indices = (schedule_timesteps == timestep).nonzero()
+
+        # The sigma index that is taken for the **very** first `step`
+        # is always the second index (or the last index if there is only 1)
+        # This way we can ensure we don't accidentally skip a sigma in
+        # case we start in the middle of the denoising schedule (e.g. for image-to-image)
+        pos = 1 if len(indices) > 1 else 0
+
+        return indices[pos].item()
+
+    def _init_step_index(self, timestep: float | torch.FloatTensor) -> None:
+        if self.begin_index is None:
+            if isinstance(timestep, torch.Tensor):
+                timestep = timestep.to(self.timesteps.device)
+            self._step_index = self.index_for_timestep(timestep)
+        else:
+            self._step_index = self._begin_index
+
+    def step(
+        self,
+        model_output: torch.FloatTensor,
+        timestep: float | torch.FloatTensor,
+        sample: torch.FloatTensor,
+        s_churn: float = 0.0,
+        s_tmin: float = 0.0,
+        s_tmax: float = float("inf"),
+        s_noise: float = 1.0,
+        generator: torch.Generator | None = None,
+        per_token_timesteps: torch.Tensor | None = None,
+        return_dict: bool = True,
+    ) -> FlowMatchEulerDiscreteSchedulerOutput | tuple:
+        """
+        Predict the sample from the previous timestep by reversing the SDE. This function propagates the diffusion
+        process from the learned model outputs (most often the predicted noise).
+
+        Args:
+            model_output (`torch.FloatTensor`):
+                The direct output from learned diffusion model.
+            timestep (`float`):
+                The current discrete timestep in the diffusion chain.
+            sample (`torch.FloatTensor`):
+                A current instance of a sample created by the diffusion process.
+            s_churn (`float`):
+            s_tmin  (`float`):
+            s_tmax  (`float`):
+            s_noise (`float`, defaults to 1.0):
+                Scaling factor for noise added to the sample.
+            generator (`torch.Generator`, *optional*):
+                A random number generator.
+            per_token_timesteps (`torch.Tensor`, *optional*):
+                The timesteps for each token in the sample.
+            return_dict (`bool`, defaults to `True`):
+                Whether or not to return a
+                [`~schedulers.scheduling_flow_match_euler_discrete.FlowMatchEulerDiscreteSchedulerOutput`] or tuple.
+
+        Returns:
+            [`~schedulers.scheduling_flow_match_euler_discrete.FlowMatchEulerDiscreteSchedulerOutput`] or `tuple`:
+                If return_dict is `True`,
+                [`~schedulers.scheduling_flow_match_euler_discrete.FlowMatchEulerDiscreteSchedulerOutput`] is returned,
+                otherwise a tuple is returned where the first element is the sample tensor.
+        """
+
+        if isinstance(timestep, int) or isinstance(timestep, torch.IntTensor) or isinstance(timestep, torch.LongTensor):
+            raise ValueError(
+                (
+                    "Passing integer indices (e.g. from `enumerate(timesteps)`) as timesteps to"
+                    " `FlowMatchEulerDiscreteScheduler.step()` is not supported. Make sure to pass"
+                    " one of the `scheduler.timesteps` as a timestep."
+                ),
+            )
+
+        if self.step_index is None:
+            self._init_step_index(timestep)
+
+        # Upcast to avoid precision issues when computing prev_sample
+        sample = sample.to(torch.float32)
+
+        if per_token_timesteps is not None:
+            per_token_sigmas = per_token_timesteps / self.config.num_train_timesteps
+
+            sigmas = self.sigmas[:, None, None]
+            lower_mask = sigmas < per_token_sigmas[None] - 1e-6
+            lower_sigmas = lower_mask * sigmas
+            lower_sigmas, _ = lower_sigmas.max(dim=0)
+
+            current_sigma = per_token_sigmas[..., None]
+            next_sigma = lower_sigmas[..., None]
+            dt = current_sigma - next_sigma
+        else:
+            sigma_idx = self.step_index
+            sigma = self.sigmas[sigma_idx]
+            sigma_next = self.sigmas[sigma_idx + 1]
+
+            current_sigma = sigma
+            next_sigma = sigma_next
+            dt = sigma_next - sigma
+
+        if self.config.stochastic_sampling:
+            x0 = sample - current_sigma * model_output
+            noise = randn_tensor(sample.shape, generator=generator, device=sample.device, dtype=sample.dtype)
+            prev_sample = (1.0 - next_sigma) * x0 + next_sigma * noise
+        else:
+            prev_sample = sample + dt * model_output
+
+        # upon completion increase step index by one
+        self._step_index += 1
+        if per_token_timesteps is None:
+            # Cast sample back to model compatible dtype
+            prev_sample = prev_sample.to(model_output.dtype)
+
+        if not return_dict:
+            return (prev_sample,)
+
+        return FlowMatchEulerDiscreteSchedulerOutput(prev_sample=prev_sample)
+
+    # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler._convert_to_karras
+    def _convert_to_karras(self, in_sigmas: torch.Tensor, num_inference_steps: int) -> torch.Tensor:
+        """
+        Construct the noise schedule as proposed in [Elucidating the Design Space of Diffusion-Based Generative
+        Models](https://huggingface.co/papers/2206.00364).
+
+        Args:
+            in_sigmas (`torch.Tensor`):
+                The input sigma values to be converted.
+            num_inference_steps (`int`):
+                The number of inference steps to generate the noise schedule for.
+
+        Returns:
+            `torch.Tensor`:
+                The converted sigma values following the Karras noise schedule.
+        """
+
+        # Hack to make sure that other schedulers which copy this function don't break
+        # TODO: Add this logic to the other schedulers
+        if hasattr(self.config, "sigma_min"):
+            sigma_min = self.config.sigma_min
+        else:
+            sigma_min = None
+
+        if hasattr(self.config, "sigma_max"):
+            sigma_max = self.config.sigma_max
+        else:
+            sigma_max = None
+
+        sigma_min = sigma_min if sigma_min is not None else in_sigmas[-1].item()
+        sigma_max = sigma_max if sigma_max is not None else in_sigmas[0].item()
+
+        rho = 7.0  # 7.0 is the value used in the paper
+        ramp = np.linspace(0, 1, num_inference_steps)
+        min_inv_rho = sigma_min ** (1 / rho)
+        max_inv_rho = sigma_max ** (1 / rho)
+        sigmas = (max_inv_rho + ramp * (min_inv_rho - max_inv_rho)) ** rho
+        return sigmas
+
+    # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler._convert_to_exponential
+    def _convert_to_exponential(self, in_sigmas: torch.Tensor, num_inference_steps: int) -> torch.Tensor:
+        """
+        Construct an exponential noise schedule.
+
+        Args:
+            in_sigmas (`torch.Tensor`):
+                The input sigma values to be converted.
+            num_inference_steps (`int`):
+                The number of inference steps to generate the noise schedule for.
+
+        Returns:
+            `torch.Tensor`:
+                The converted sigma values following an exponential schedule.
+        """
+
+        # Hack to make sure that other schedulers which copy this function don't break
+        # TODO: Add this logic to the other schedulers
+        if hasattr(self.config, "sigma_min"):
+            sigma_min = self.config.sigma_min
+        else:
+            sigma_min = None
+
+        if hasattr(self.config, "sigma_max"):
+            sigma_max = self.config.sigma_max
+        else:
+            sigma_max = None
+
+        sigma_min = sigma_min if sigma_min is not None else in_sigmas[-1].item()
+        sigma_max = sigma_max if sigma_max is not None else in_sigmas[0].item()
+
+        sigmas = np.exp(np.linspace(math.log(sigma_max), math.log(sigma_min), num_inference_steps))
+        return sigmas
+
+    # Copied from diffusers.schedulers.scheduling_euler_discrete.EulerDiscreteScheduler._convert_to_beta
+    def _convert_to_beta(
+        self, in_sigmas: torch.Tensor, num_inference_steps: int, alpha: float = 0.6, beta: float = 0.6
+    ) -> torch.Tensor:
+        """
+        Construct a beta noise schedule as proposed in [Beta Sampling is All You
+        Need](https://huggingface.co/papers/2407.12173).
+
+        Args:
+            in_sigmas (`torch.Tensor`):
+                The input sigma values to be converted.
+            num_inference_steps (`int`):
+                The number of inference steps to generate the noise schedule for.
+            alpha (`float`, *optional*, defaults to `0.6`):
+                The alpha parameter for the beta distribution.
+            beta (`float`, *optional*, defaults to `0.6`):
+                The beta parameter for the beta distribution.
+
+        Returns:
+            `torch.Tensor`:
+                The converted sigma values following a beta distribution schedule.
+        """
+
+        # Hack to make sure that other schedulers which copy this function don't break
+        # TODO: Add this logic to the other schedulers
+        if hasattr(self.config, "sigma_min"):
+            sigma_min = self.config.sigma_min
+        else:
+            sigma_min = None
+
+        if hasattr(self.config, "sigma_max"):
+            sigma_max = self.config.sigma_max
+        else:
+            sigma_max = None
+
+        sigma_min = sigma_min if sigma_min is not None else in_sigmas[-1].item()
+        sigma_max = sigma_max if sigma_max is not None else in_sigmas[0].item()
+
+        sigmas = np.array(
+            [
+                sigma_min + (ppf * (sigma_max - sigma_min))
+                for ppf in [
+                    scipy.stats.beta.ppf(timestep, alpha, beta)
+                    for timestep in 1 - np.linspace(0, 1, num_inference_steps)
+                ]
+            ]
+        )
+        return sigmas
+
+    def _time_shift_exponential(self, mu: float, sigma: float, t: torch.Tensor) -> torch.Tensor:
+        return math.exp(mu) / (math.exp(mu) + (1 / t - 1) ** sigma)
+
+    def _time_shift_linear(self, mu: float, sigma: float, t: torch.Tensor) -> torch.Tensor:
+        return mu / (mu + (1 / t - 1) ** sigma)
+
+    def __len__(self) -> int:
+        return self.config.num_train_timesteps