Discrepancy-aware Score Learningfor Diffusion Training

ICLR 2026 Conference SubmissionAnonymous Authors
diffusion modeltext-to-image generationgenerative adversarial networkadversarial training
Abstract:

Diffusion models excel in stable training and distribution coverage, achieving remarkable results in various generative tasks. However, especially in high-resolution or structurally complex settings, their reliance on denoising score matching (DSM) leads to overly smoothed textures and limited perceptual detail. This limitation arises from DSM's propensity to reduce average reconstruction error rather than addressing challenging perceptual features in the data distribution. We propose Discrepancy-aware Score Learning (DSL), a novel adversarial training framework that incorporates a margin-based energy regularizer to score matching in order to address this challenge. In the noise space, DSL introduces an energy-based discriminator that adaptively highlights samples with high generation discrepancies. Our approach retains the denoising formulation while guiding the generator to prioritize difficult cases. We theoretically connect DSL to Wasserstein gradient flows, interpreting it as functional gradient descent regularized by the discriminator's energy surface. Moreover, we demonstrate that DSL is compatible with the underlying probabilistic model by establishing an equilibrium consistent with the true score function. Compared to baseline diffusion models and recent adversarial approaches, DSL significantly improves sample fidelity, perceptual sharpness, and semantic alignment, according to extensive experiments conducted across text-to-image generation, conditional synthesis, super-resolution, and 2D-to-3D reconstruction.

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This report is AI-GENERATED using Large Language Models and WisPaper (A scholar search engine). It analyzes academic papers' tasks and contributions against retrieved prior work. While this system identifies POTENTIAL overlaps and novel directions, ITS COVERAGE IS NOT EXHAUSTIVE AND JUDGMENTS ARE APPROXIMATE. These results are intended to assist human reviewers and SHOULD NOT be relied upon as a definitive verdict on novelty.
NOTE that some papers exist in multiple, slightly different versions (e.g., with different titles or URLs). The system may retrieve several versions of the same underlying work. The current automated pipeline does not reliably align or distinguish these cases, so human reviewers will need to disambiguate them manually.
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Overview

Overall Novelty Assessment

The paper proposes Discrepancy-aware Score Learning (DSL), an adversarial training framework that uses a margin-based energy regularizer to address perceptual quality limitations in diffusion models. According to the taxonomy, this work resides in the 'Adversarial Score Learning and Energy-Based Methods' leaf, which contains only two papers total. This sparse population suggests the specific combination of energy-based discriminators with margin-based regularizers for score matching represents a relatively underexplored direction within the broader adversarial training landscape for diffusion models.

The taxonomy reveals that DSL sits within the 'Adversarial Training Frameworks for Diffusion Models' branch, which also includes 'Adversarial Distillation for Few-Step Generation' (5 papers) and 'General Adversarial Training Enhancements' (4 papers). These neighboring leaves focus on distillation-based acceleration and general discriminator guidance respectively, while DSL's energy-based formulation distinguishes it from these approaches. The scope note explicitly excludes general adversarial training without energy formulations, positioning DSL at the intersection of adversarial learning and energy-based modeling—a boundary that appears less densely populated than distillation-focused methods.

Among 25 candidates examined across three contributions, the DSL framework shows one refutable candidate out of 10 examined, while the Wasserstein gradient flow connection encounters three refutable candidates among 10 examined. The margin-aware equilibrium analysis appears more novel, with zero refutable candidates among five examined. These statistics suggest that while the core framework and theoretical grounding have some overlap with prior work in the limited search scope, the equilibrium analysis component may represent a more distinctive contribution. The relatively small candidate pool (25 total) indicates this assessment reflects top-K semantic matches rather than exhaustive coverage.

Based on the limited search scope of 25 semantically similar papers, DSL appears to occupy a sparsely populated niche combining energy-based adversarial learning with score matching. The framework-level contribution shows modest prior overlap, while the equilibrium analysis shows none within the examined candidates. However, the small taxonomy leaf size and limited search scope mean this assessment captures local novelty rather than comprehensive field coverage.

Taxonomy

Core-task Taxonomy Papers
33
3
Claimed Contributions
25
Contribution Candidate Papers Compared
4
Refutable Paper

Research Landscape Overview

Core task: Improving perceptual quality in diffusion models through adversarial score learning. The field encompasses a diverse set of approaches organized around several major themes. Adversarial Training Frameworks for Diffusion Models explore how discriminator-based objectives can refine score networks, with methods ranging from energy-based formulations to distillation techniques like Adversarial Diffusion Distillation[2] and Nitrofusion[3]. Guidance and Control Mechanisms investigate how to steer generation through attention manipulation (Self-Attention Guidance[1]) or discriminator signals (Discriminator Guidance[9]). Domain-Specific Applications adapt these ideas to medical imaging, remote sensing, video synthesis, and restoration tasks, while Perceptual Quality Assessment develops metrics to evaluate visual fidelity. Theoretical Foundations and Unified Frameworks provide mathematical grounding, and Audio and Speech Synthesis extends adversarial diffusion principles beyond vision. Within the adversarial training landscape, a particularly active line of work focuses on integrating discriminators directly into the score learning process to enhance perceptual realism. Discrepancy Score Learning[0] sits squarely in this branch alongside DPAC[29], both emphasizing adversarial score refinement and energy-based methods. While DPAC[29] explores perceptual alignment through adversarial constraints, Discrepancy Score Learning[0] targets the discrepancy between learned and true score functions. Nearby works like ADDSR[5] apply similar adversarial principles to super-resolution, and Quality Adversarial Learning[7] tackles quality-aware generation. The central tension across these methods involves balancing training stability, computational efficiency, and the degree to which adversarial feedback should directly shape the score network versus guiding sampling. This branch contrasts with distillation-focused approaches (Adversarial Diffusion Distillation[2], Nitrofusion[3]) that prioritize few-step inference, highlighting an ongoing trade-off between iterative refinement and accelerated generation.

Claimed Contributions

Discrepancy-aware Score Learning (DSL) framework

The authors introduce DSL, an adversarial training framework that extends denoising score matching with an energy-based discriminator operating in noise space. The discriminator uses a margin-based hinge loss to adaptively highlight samples with high generation discrepancies, guiding the generator to prioritize difficult cases while retaining the denoising formulation.

10 retrieved papers
Can Refute
Theoretical connection to Wasserstein gradient flows

The authors provide a theoretical interpretation of DSL as functional gradient descent in the space of probability distributions, connecting it to Wasserstein gradient flows. This formalism offers insights into the convergence behavior and design choices of the framework.

10 retrieved papers
Can Refute
Margin-aware equilibrium analysis

The authors prove that DSL admits a well-defined equilibrium that remains consistent with the true score function even under nonzero adversarial margins. This theoretical result formally guarantees compatibility with conventional score matching and characterizes the generator's convergence within a bounded region around the ground-truth noise.

5 retrieved papers

Core Task Comparisons

Comparisons with papers in the same taxonomy category

Contribution Analysis

Detailed comparisons for each claimed contribution

Contribution

Discrepancy-aware Score Learning (DSL) framework

The authors introduce DSL, an adversarial training framework that extends denoising score matching with an energy-based discriminator operating in noise space. The discriminator uses a margin-based hinge loss to adaptively highlight samples with high generation discrepancies, guiding the generator to prioritize difficult cases while retaining the denoising formulation.

Contribution

Theoretical connection to Wasserstein gradient flows

The authors provide a theoretical interpretation of DSL as functional gradient descent in the space of probability distributions, connecting it to Wasserstein gradient flows. This formalism offers insights into the convergence behavior and design choices of the framework.

Contribution

Margin-aware equilibrium analysis

The authors prove that DSL admits a well-defined equilibrium that remains consistent with the true score function even under nonzero adversarial margins. This theoretical result formally guarantees compatibility with conventional score matching and characterizes the generator's convergence within a bounded region around the ground-truth noise.