ResilPhase: Plug-and-Play Phase Mapping and Noise-Resilient Macro-Trajectory Extrapolation for Diffusion Acceleration
- URL: http://arxiv.org/abs/2606.26769v1
- Date: Thu, 25 Jun 2026 08:54:17 GMT
- Title: ResilPhase: Plug-and-Play Phase Mapping and Noise-Resilient Macro-Trajectory Extrapolation for Diffusion Acceleration
- Abstract summary: We introduce a derivative-free barycentric Lagrange extrapolator to bypass derivative instability and approximation error.<n> Experiments on FLUX.1-dev and HunyuanVideo demonstrate state-of-the-art fidelity under aggressive acceleration ratios.
- Score: 10.972902209477844
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The adoption of powerful diffusion models is hindered by their significant inference latency. Recent ``cache-then-forecast'' schemes alleviate this issue by accelerating DiTs using derivative-based polynomials, but they suffer from severe quality degradation at high acceleration ratios. Our analysis reveals its root cause: the discrete extrapolation performed on representations that are misaligned with the continuous diffusion trajectory and are numerically unstable. Thus, accelerated DiTs suffer from accumulated spatial errors, noisy derivative amplification, and high-order instability. We therefore reformulate accelerated inference as stable macro-trajectory extrapolation in ordinary differential equation (ODE) space. Instead of predicting intermediate features, we align forecasting with the model's Global Drift (GD), i.e., the end-to-end state evolution, thereby eliminating feature inconsistency and memory overhead. However, even this smooth macro-trajectory remains vulnerable to the derivative fallacy: its higher-order temporal derivatives are intrinsically noisy. Thus, we introduce a derivative-free barycentric Lagrange extrapolator to effectively bypass derivative instability and approximation error. We further propose a bounded Phase Mapping that regularizes the extrapolation domain, suppressing oscillatory error growth. These elements collectively constitute ResilPhase, a noise-resilient acceleration framework. Experiments on FLUX.1-dev and HunyuanVideo demonstrate state-of-the-art fidelity under aggressive acceleration ratios.
Related papers
- Flux-form spatiotemporal neural operators for coarse-grained dynamics of multiscale PDEs [6.160113667162026]
We study data-driven prediction of coarse-grained dynamics in multiscale PDE systems.<n>Adopting a closure-free operator-learning viewpoint, we apply a linear coarse-graining map and learn a surrogate evolution operator for the resolved field.<n>We validate on the coarse-grained Burgers' equation, the Kuramoto-Sivashinsky equation, and two-dimensional turbulent flows.
arXiv Detail & Related papers (2026-08-11T00:55:16Z) - BRACE: Taming Sharp Irregularities via Barycentric Rational Forecasting for Fast Diffusion Transformers Inference [7.024073219145713]
Diffusion Transformers (DiTs) have demonstrated exceptional performance in high-fidelity image and video generation.<n>To alleviate their massive computational overhead, temporal feature caching has been proposed to bypass redundant computations.<n>We propose Barycentric Forecasting with Chebyshev Enhancement (BRACE) to address this bottleneck.
arXiv Detail & Related papers (2026-08-04T11:24:53Z) - Local Truncation Error-Guided Neural ODEs for Large Scale Traffic Forecasting [26.116856080963966]
Local Truncation Error-Guided Neural ODEs (LTE-ODE)<n>Our architecture gracefully preserves high-precision continuous ODE evolution in stable regions.<n>LTE-ODE achieves state-of-the-art performance on multiple large-scale benchmarks.
arXiv Detail & Related papers (2026-05-05T05:46:00Z) - IDLM: Inverse-distilled Diffusion Language Models [70.5793829229702]
We extend Inverse Distillation, a technique originally developed to accelerate continuous diffusion models, to the discrete setting.<n>From a theoretical perspective, the inverse distillation objective lacks uniqueness guarantees, which may lead to suboptimal solutions.<n>We show that our method, Inverse-distilled Diffusion Language Models (IDLM), reduces the number of inference steps by 4x-64x.
arXiv Detail & Related papers (2026-02-22T06:47:04Z) - Parallel Complex Diffusion for Scalable Time Series Generation [50.01609741902786]
PaCoDi is a spectral-native architecture that decouples generative modeling in the frequency domain.<n>We show that PaCoDi outperforms existing baselines in both generation quality and inference speed.
arXiv Detail & Related papers (2026-02-10T14:31:53Z) - On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization [0.0]
We analyze the tracking performance of Gradient Descent under uniform strong convexity and smoothness in varying stepsize regimes.<n>We show that momentum can substantially amplify drift-induced tracking error, with an explicit penalty on the tracking capability.<n>These results provide a definitive theoretical grounding for the empirical instability of momentum in dynamic environments.
arXiv Detail & Related papers (2026-01-18T03:27:21Z) - On Exact Editing of Flow-Based Diffusion Models [97.0633397035926]
We propose Conditioned Velocity Correction (CVC) to reformulate flow-based editing as a distribution transformation problem driven by a known source prior.<n>CVC rethinks the role of velocity in inter-distribution transformation by introducing a dual-perspective velocity conversion mechanism.<n>We show that CVC consistently achieves superior fidelity, better semantic alignment, and more reliable editing behavior across diverse tasks.
arXiv Detail & Related papers (2025-12-30T06:29:20Z) - TAG:Tangential Amplifying Guidance for Hallucination-Resistant Diffusion Sampling [53.61290359948953]
Tangential Amplifying Guidance (TAG) operates solely on trajectory signals without modifying the underlying diffusion model.<n>We formalize this guidance process by leveraging a first-order Taylor expansion.<n> TAG is a plug-and-play, architecture-agnostic module that improves diffusion sampling fidelity with minimal computational addition.
arXiv Detail & Related papers (2025-10-06T06:53:29Z) - Fast Diffusion Model [122.36693015093041]
Diffusion models (DMs) have been adopted across diverse fields with their abilities in capturing intricate data distributions.
In this paper, we propose a Fast Diffusion Model (FDM) to significantly speed up DMs from a DM optimization perspective.
arXiv Detail & Related papers (2023-06-12T09:38:04Z) - The Limiting Dynamics of SGD: Modified Loss, Phase Space Oscillations,
and Anomalous Diffusion [29.489737359897312]
We study the limiting dynamics of deep neural networks trained with gradient descent (SGD)
We show that the key ingredient driving these dynamics is not the original training loss, but rather the combination of a modified loss, which implicitly regularizes the velocity and probability currents, which cause oscillations in phase space.
arXiv Detail & Related papers (2021-07-19T20:18:57Z) - Hessian-Free High-Resolution Nesterov Acceleration for Sampling [55.498092486970364]
Nesterov's Accelerated Gradient (NAG) for optimization has better performance than its continuous time limit (noiseless kinetic Langevin) when a finite step-size is employed.
This work explores the sampling counterpart of this phenonemon and proposes a diffusion process, whose discretizations can yield accelerated gradient-based MCMC methods.
arXiv Detail & Related papers (2020-06-16T15:07:37Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.