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LESA claims diffusion acceleration can be learned rather than guessed, hitting 6.25x on Qwen-Image

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

T0 review · deepseek-v4-flash

2026-08-02 21:18 UTC pith:OYI5CF6Q

load-bearing objection LESA is a solid caching extension worth a referee, but the abstract's HunyuanVideo PSNR number disagrees with its own Table 3 and must be fixed. the 4 major comments →

arxiv 2602.20497 v3 pith:OYI5CF6Q submitted 2026-02-24 cs.CV cs.AI

LESA: Learnable Stage-Aware Predictors for Diffusion Model Acceleration

classification cs.CV cs.AI
keywords diffusion modelsfeature cachingdiffusion transformer accelerationKolmogorov-Arnold Networkstage-aware predictiontext-to-image generationtext-to-video generationtemporal feature modeling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper claims that feature evolution during diffusion denoising is not uniformly smooth: it is drastic under high noise, stable in the middle, and detail-refining at the end. Because existing caching methods use a single fixed reuse or polynomial-forecast rule across all timesteps, they lose quality under aggressive acceleration. To fix this, the authors introduce LESA, a learnable predictor that splits the denoising trajectory into stages and assigns each stage a dedicated expert built on a Kolmogorov–Arnold Network. The predictor is trained first on ground-truth features and then in a closed-loop autoregressive manner, making it robust to its own drift during fast inference. The paper reports 5.00x speedup on FLUX.1-dev with a 1.0% ImageReward drop, 6.25x on Qwen-Image with a 20.2% ImageReward improvement over TaylorSeer, and 5.00x on HunyuanVideo with a 24.7% PSNR improvement over TaylorSeer.

Core claim

The central claim is that stage-aware learnable prediction, rather than training-free reuse or polynomial forecasting, is what allows diffusion transformers to be accelerated without sacrificing fidelity. The paper shows experimentally that a compact KAN-based predictor, modulated by a scalar learned from relative timestep offsets and partitioned into three noise-level experts, consistently outperforms fixed-rule caching baselines across five models and both image and video generation. The authors interpret this as evidence that diffusion feature trajectories are non-smooth and stage-dependent, and that learning stage-specific temporal mappings captures dynamics that Taylor-style extrapolati

What carries the argument

The load-bearing mechanism is a residual predictor combining a linear projection of the last K cached features with a scalar-output Kolmogorov–Arnold Network (KAN), a neural network that learns smooth univariate spline functions instead of using fixed activations. The KAN maps relative timestep offsets to a scalar alpha that modulates the residual update, separating spatial feature transformation from temporal modulation. Three stage experts, using window sizes K=4 for high noise and K=8 for later stages, are assigned to distinct noise-level phases, and the whole system is trained in two stages: ground-truth guided and closed-loop autoregressive.

Load-bearing premise

The load-bearing premise is that the hand-set stage boundaries and window sizes, chosen after inspecting feature-dynamics plots of the tested models, generalize, and that the 100 training prompts do not overlap the 200 evaluation prompts enough to inflate the reported quality metrics.

What would settle it

Train LESA on a prompt set proven disjoint from the evaluation set, and fix the stage boundaries a priori on one model before applying them to others; if the reported gains over TaylorSeer shrink or disappear, the claim of general stage-aware learning is undermined.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If the central claim holds, feature caching for diffusion models no longer has to be training-free; a small learned predictor can beat Taylor-based forecasts at the same speedup.
  • Acceleration would generalize across model families and even to distilled models, where the paper reports quality improvements rather than degradation.
  • Text-to-video generation would also benefit, indicating that temporal redundancy in diffusion transformers is exploitable with stage-aware prediction.
  • The method's low cache memory (0.81 GB on FLUX) and parameter efficiency could make high-speed generation practical on memory-constrained hardware.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The stage boundaries and window sizes are hand-set after inspecting feature-dynamics plots of the very models being evaluated; if these are per-model tuning choices, the method may require reconfiguration when moving to a new model rather than being fully plug-and-play.
  • The paper does not state whether the 100 custom training prompts are disjoint from the 200 DrawBench evaluation prompts; if there is overlap, the reported quality gains could be partly inflated by memorization rather than genuine temporal modeling.
  • The ablation shows the stage-aware KAN advantage grows with the inference interval N, suggesting the benefit is concentrated in aggressive acceleration regimes—a testable prediction for future work.
  • A natural next step, not explored in the paper, is to learn the stage boundaries and window sizes end-to-end instead of selecting them offline, which could reveal whether the stage segmentation itself or just the KAN modulation is the key ingredient.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

4 major / 5 minor

Summary. The paper proposes LESA, a learned feature-caching predictor for accelerating diffusion transformer inference. The method combines a KAN-based scalar temporal modulation with a multi-expert, stage-aware architecture: the denoising trajectory is split into stages, each assigned a dedicated predictor with its own window size, and training proceeds in two phases (ground-truth guided, then closed-loop autoregressive). Experiments are reported on FLUX.1-dev/schnell, Qwen-Image/Lightning, HunyuanVideo, and Stable Diffusion XL, with 5.00–6.25x FLOPs-based speedups and claims of improved or comparable quality relative to TaylorSeer and other caching baselines.

Significance. If the results are accurate, LESA is a meaningful empirical contribution: it demonstrates that a small learned predictor can outperform hand-crafted Taylor forecasting for feature caching across multiple large-scale DiT models, and it includes useful ablations (prompt-count sensitivity, memory comparison) plus a code-release commitment. The multi-model validation is a strength. However, the paper's headline empirical claim is undermined by an internal inconsistency in the HunyuanVideo abstract number, and the stage-segmentation mechanism is insufficiently specified for reproduction. The contribution is potentially significant, but the current version needs verification and clarification before the SOTA claim can be accepted.

major comments (4)
  1. [Abstract / §4.2, Table 3] The abstract claims "5.00x acceleration on HunyuanVideo with a 24.7% PSNR improvement over TaylorSeer." In Table 3, at 5.00x FLOPs, TaylorSeer(N=5,O=1) has PSNR 17.29 and LESA(N=7) has PSNR 21.43, giving (21.43−17.29)/17.29 = 23.9%. The LESA(N=8) row gives (21.05−17.29)/17.29 = 21.7%. No row pairing in the table yields 24.7%. Since this is a headline SOTA claim, please correct the number or explicitly specify the baseline/setting used to obtain 24.7%.
  2. [§3.2, §7.1, Fig. 2] The paper never states the timestep ranges defining the three stages, nor the criterion for placing the boundaries. The window sizes K=4 and K=8 and the expert allocation depend on these boundaries, yet they are free parameters selected after inspecting feature-dynamics plots from the very models evaluated in Tables 1–3. This makes the central "stage-aware" mechanism non-reproducible and the cross-model generalization claim unsupported as written. Please report the exact stage boundaries, explain how they were chosen, and include an experiment that fixes the boundaries on one model and applies them unchanged to the other models.
  3. [§7.2 vs §7.1] Training uses 100 custom prompts (Section 7.2) while evaluation uses 200 DrawBench prompts (Section 7.1). The paper does not state whether the two sets are disjoint. Although Table 9 shows performance is almost invariant to the number of training prompts, overlap with the evaluation set should be explicitly ruled out. Please disclose the relationship between the 100 training prompts and the DrawBench-200 test prompts.
  4. [Abstract, Tables 1–3] The headline speedups are quoted from the FLOPs-reduction column, but the measured wall-clock latency speedups are lower. For example, FLUX.1-dev LESA(N=7) shows 4.48x latency speedup vs 5.00x FLOPs speedup (Table 1); Qwen-Image LESA(N=10) shows 5.69x latency vs 6.25x FLOPs (Table 2). The abstract's "acceleration" claims should either be labeled as FLOPs reduction or based on the measured latency, to avoid overstating practical runtime gains.
minor comments (5)
  1. [Table 1] The table title says "for FLUX.1-schnell" but the table contains FLUX.1-dev rows and the section heading covers both models. Retitle as "FLUX.1-dev and FLUX.1-schnell."
  2. [§3.2] The paper advertises a "two-stage training strategy" but the text enumerates three components: Data Preparation, Ground-Truth Guided Training, and Closed-Loop Autoregressive Training. Please renumber or clarify the terminology.
  3. [Tables 1–4] No error bars or repeated-run statistics are reported. For small metric differences (e.g., Table 1 ImageReward 0.98 for LESA vs 1.02 for TaylorSeer at comparable speedup), reporting variance or multiple seeds would substantially strengthen the comparisons.
  4. [Fig. 2] The subplot labels, axis labels, and annotations are very small and hard to read. Please enlarge fonts and clarify which trajectory corresponds to which model.
  5. [Eqs. (5)–(7)] The KAN produces a single scalar modulation that is broadcast across all feature channels. The paper should explicitly acknowledge this expressivity limitation and justify why per-channel or per-token modulation is not needed.

Circularity Check

0 steps flagged

No significant circularity: LESA is a supervised temporal regressor trained on ground-truth features; the abstract/table discrepancy is a correctness issue, not a circular reduction.

full rationale

LESA's derivation chain is not circular. The predictor is a supervised temporal regressor: Eq. (7) computes ĥ_{t−1} = h_t + αz from past cached features {h_{t+K−1},...,h_t}, with α produced by a KAN over relative timestep offsets (Eqs. 4–6), and is trained by an L1 loss against ground-truth DiT features (Sec. 3.2, 'Training Procedure'). The target feature h_{t−1} is not an input to the predictor, so the prediction is not equal to the fit by construction. Evaluation is performed against the original model's outputs on DrawBench-200 (Sec. 7.1), not against the training targets. The training/evaluation prompt overlap is a potential weakness, but Table 9 shows quality is nearly invariant to training prompt count (PSNR 30.18 for 1 prompt vs 30.18 for 100 prompts on Qwen-Image at N=7), so any overlap is not load-bearing. The abstract's HunyuanVideo '24.7% PSNR improvement' is not reproduced by Table 3, which yields 23.9% for LESA(N=7) vs TaylorSeer(N=5) (21.43 vs 17.29) and 21.7% for LESA(N=8); this is an internal-consistency/correctness concern, not a circular reduction. Self-citations, including TaylorSeer [17], HiCache [4], and FreqCa [15], serve as baselines and related work, but no load-bearing claim reduces to a self-citation, and no uniqueness theorem or ansatz is imported from the authors' prior work. The stage boundaries and window sizes (K=4, K=8) are design choices informed by feature-dynamics plots of the evaluated models, which is a possible overfitting/test-selection concern, but it is not an Eq.-X=Eq.-Y or fitted-parameter-called-prediction circularity. Overall, the central derivation is self-contained and externally benchmarked.

Axiom & Free-Parameter Ledger

6 free parameters · 5 axioms · 0 invented entities

The central claim rests on several hand-chosen hyperparameters (stage count, window sizes, training prompts) and on unstated assumptions about the Markov property of features and the stage-separability of the dynamics. No new physical entities are introduced.

free parameters (6)
  • Number of stages = 3
    Stage count chosen by hand from trajectory plots in Fig. 2; not derived.
  • Window sizes K = 4 (high-noise), 8 (mid/low-noise)
    Section 3.2: K=4 for rapid high-noise transitions, K=8 for stable phases; chosen without quantitative selection.
  • Stage boundaries = Not numerically specified
    The noise-level cutoffs dividing the three stages are never given; they are free modeling choices fit to the observed models.
  • KAN hidden dimension = 256
    Section 7.2; architecture hyperparameter.
  • Training prompt count = 100
    Section 7.2: 'custom set of 100 prompts'; not justified and possible overlap with eval.
  • Inference interval N = N=5,7,10 depending on experiment
    The skip interval is chosen per experiment; different N values change the acceleration/quality tradeoff.
axioms (5)
  • standard math Kolmogorov-Arnold representation theorem
    Basis for KAN architecture (Eq. 3, 6).
  • domain assumption Feature trajectory is stage-dependent and can be segmented into three discrete regimes
    Main motivation from Fig. 2; if false, stage experts add nothing beyond a single predictor.
  • domain assumption Past K features are sufficient to predict the next feature
    Eq. (4)-(7) maps a finite window of cached features to the target; assumes Markov property of order K.
  • ad hoc to paper Scalar modulation alpha captures all temporal variation
    The separation-of-variables form (linear projection in space, scalar KAN in time) is introduced without proof and is a restrictive ansatz.
  • domain assumption 100 training prompts generalize to the 200-prompt evaluation set
    Needed for the reported generalization; not demonstrated by a separate validation split.

pith-pipeline@v1.3.0-alltime-deepseek · 18930 in / 11130 out tokens · 96390 ms · 2026-08-02T21:18:02.287496+00:00 · methodology

0 comments
read the original abstract

Diffusion models have achieved remarkable success in image and video generation tasks. However, the high computational demands of Diffusion Transformers (DiTs) pose a significant challenge to their practical deployment. While feature caching is a promising acceleration strategy, existing methods based on simple reusing or training-free forecasting struggle to adapt to the complex, stage-dependent dynamics of the diffusion process, often resulting in quality degradation and failing to maintain consistency with the standard denoising process. To address this, we propose a LEarnable Stage-Aware (LESA) predictor framework based on two-stage training. Our approach leverages a Kolmogorov-Arnold Network (KAN) to accurately learn temporal feature mappings from data. We further introduce a multi-stage, multi-expert architecture that assigns specialized predictors to different noise-level stages, enabling more precise and robust feature forecasting. Extensive experiments show our method achieves significant acceleration while maintaining high-fidelity generation. Experiments demonstrate 5.00x acceleration on FLUX.1-dev with minimal quality degradation (1.0% drop), 6.25x speedup on Qwen-Image with a 20.2% quality improvement over the previous SOTA (TaylorSeer), and 5.00x acceleration on HunyuanVideo with a 24.7% PSNR improvement over TaylorSeer. State-of-the-art performance on both text-to-image and text-to-video synthesis validates the effectiveness and generalization capability of our training-based framework across different models. Our code is available at https://github.com/caipeiliang2004/LESA.

Figures

Figures reproduced from arXiv: 2602.20497 by Chang Zou, Haowen Xu, Jiacheng Liu, Linfeng Zhang, Peiliang Cai, Xinyu Wang.

Figure 1
Figure 1. Figure 1: Images generated by Qwen-image using LESA with a 6.25× acceleration. Abstract Diffusion models have achieved remarkable success in im￾age and video generation tasks. However, the high compu￾tational demands of Diffusion Transformers (DiTs) pose a significant challenge to their practical deployment. While feature caching is a promising acceleration strategy, exist￾ing methods based on simple reusing or trai… view at source ↗
Figure 2
Figure 2. Figure 2: Cosine Similarity curves and PCA-projected trajectories show that feature evolution differs markedly across diffusion models, with non-smooth, stage-dependent dynamics that challenge the common assumption of simple or continuous temporal change. quality and diversity of generated content. However, DiT models face significant computational challenges during in￾ference due to their deep transformer architect… view at source ↗
Figure 3
Figure 3. Figure 3: Overview of the training-based stage-aware learnable predictor framework. (a) Training progress of the LESA uses outputs from the previous K steps as input and updates the predictor with the DiT activation output. (b) Inference process with the learned predictor skips part of the DiT computations by predicting features. (c) Predictor architecture processes features from previous steps with a linear project… view at source ↗
Figure 4
Figure 4. Figure 4: Comparison of LESA and TaylorSeer under different speedup ratios. LESA preserves better quality metrics and percep￾tual metrics On QwenImage and FLUX. learn how features evolve under imperfect inputs, resulting in more robust behavior during accelerated inference. For a comprehensive description of the training details, please refer to the supplementary material. 4. Experiments Evaluation and Metrics For t… view at source ↗
Figure 5
Figure 5. Figure 5: Comparison of Sampling Process Image and Final Im￾age. On FLUX, LESA demonstrates significant speedup ratio with excellent spatial organization and accurate color representation. Qualitative Study As shown in [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Qualitative Comparison of Generated Images. On Qwen-Image, LESA delivers higher speedup with high image quality. substantial degradation of perceptual quality, and existing baselines exhibit a similar trade-off. In contrast, LESA si￾multaneously achieves faster inference and markedly better visual fidelity. With N =7, it attains the best overall perfor￾mance, improving PSNR by 23.9% over TaylorSeer; even u… view at source ↗
Figure 7
Figure 7. Figure 7: Qualitative Comparison of Early, Middle, and Late Frames From Generated Videos. On HunyuanVideo, LESA constructs continuous dynamic process with excellent subject accuracy under high speedup ratio [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗

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