Pith. sign in

REVIEW 11 cited by

Analytic-DPM: an Analytic Estimate of the Optimal Reverse Variance in Diffusion Probabilistic Models

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2201.06503 v3 pith:WCHUSX74 submitted 2022-01-17 cs.LG

Analytic-DPM: an Analytic Estimate of the Optimal Reverse Variance in Diffusion Probabilistic Models

classification cs.LG
keywords varianceoptimalanalyticanalytic-dpmdpmsestimateinferencemodels
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Diffusion probabilistic models (DPMs) represent a class of powerful generative models. Despite their success, the inference of DPMs is expensive since it generally needs to iterate over thousands of timesteps. A key problem in the inference is to estimate the variance in each timestep of the reverse process. In this work, we present a surprising result that both the optimal reverse variance and the corresponding optimal KL divergence of a DPM have analytic forms w.r.t. its score function. Building upon it, we propose Analytic-DPM, a training-free inference framework that estimates the analytic forms of the variance and KL divergence using the Monte Carlo method and a pretrained score-based model. Further, to correct the potential bias caused by the score-based model, we derive both lower and upper bounds of the optimal variance and clip the estimate for a better result. Empirically, our analytic-DPM improves the log-likelihood of various DPMs, produces high-quality samples, and meanwhile enjoys a 20x to 80x speed up.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow

    cs.LG 2022-09 unverdicted novelty 8.0

    Rectified flow learns straight-path neural ODEs for distribution transport, yielding efficient generative models and domain transfers that work well even with a single simulation step.

  2. Towards Generalized Image Manipulation Localization via Score-based Model

    cs.CV 2026-05 conditional novelty 7.0

    DiffIML applies score-based generative modeling to image manipulation localization, recovering coherent masks iteratively from noise to improve generalization on unseen manipulation types.

  3. Diff-ANO: Towards Fast High-Resolution Ultrasound Computed Tomography via Conditional Consistency Models and Adjoint Neural Operators

    math.NA 2025-07 unverdicted novelty 7.0

    Diff-ANO uses conditional consistency models and adjoint neural operator surrogates to enable fast, high-quality USCT reconstructions under sparse and partial views by replacing slow PDE solvers and enabling few-step ...

  4. Hierarchical Text-Conditional Image Generation with CLIP Latents

    cs.CV 2022-04 accept novelty 7.0

    A hierarchical prior-decoder model using CLIP latents generates more diverse text-conditional images than direct methods while preserving photorealism and caption fidelity.

  5. Diffusion Models Adapt to Low-Dimensional Structure Under Flexible Coefficient Choices

    stat.ML 2026-06 unverdicted novelty 6.0

    For a broad class of coefficients, diffusion models achieve Õ(k/ε) iteration complexity for ε-accurate TV sampling under low-dimensional structure, independent of ambient dimension.

  6. Delta Score Matters! Spatial Adaptive Multi Guidance in Diffusion Models

    cs.CV 2026-04 unverdicted novelty 6.0

    SAMG uses spatially adaptive guidance scales derived from a geometric analysis of classifier-free guidance to resolve the detail-artifact dilemma in diffusion-based image and video generation.

  7. Deepfake Detection Generalization with Diffusion Noise

    cs.CV 2026-04 unverdicted novelty 6.0

    ANL uses diffusion noise prediction and attention to regularize deepfake detectors for better generalization to unseen synthesis methods without added inference cost.

  8. Image Diffusion Preview with Consistency Solver

    cs.LG 2025-12 unverdicted novelty 6.0

    ConsistencySolver enables high-quality low-step diffusion previews by adapting general linear multistep methods into a lightweight RL-optimized solver, matching multistep DPM-Solver FID with 47% fewer steps and cuttin...

  9. Sampling-Aware Quantization for Diffusion Models

    cs.CV 2025-05 unverdicted novelty 6.0

    A quantization technique for diffusion models that aligns sampling trajectories to preserve high-order sampler performance under quantization noise.

  10. DiFaReli++: Diffusion Face Relighting with Consistent Cast Shadows

    cs.CV 2023-04 unverdicted novelty 6.0

    DiFaReli++ conditions a DDIM on shading references and inferred shadow maps to relight single-view faces with consistent shadows, trained only on 2D images and claiming SOTA on Multi-PIE.

  11. Fast Text-to-Audio Generation with One-Step Sampling via Energy-Scoring and Auxiliary Contextual Representation Distillation

    cs.SD 2026-05 unverdicted novelty 5.0

    A one-step text-to-audio model using energy-distance training and contextual distillation outperforms prior fast baselines on AudioCaps and achieves up to 8.5x faster inference than the multi-step IMPACT system with c...