Skip to content

Iterative Flow Matching - Path Correction and Gradual Refinement for Enhanced Generative Modeling

Feb 2025 · SIAM Journal on Scientific Computing · Vol abs/2502.16445, pp. C814-C831 · 3 citations · 50 references
Computer Science Mathematics

TL;DR

This work explores image generation using flow matching using flow matching and proposes an iterative process that can be integrated into virtually any generative modeling technique, thereby enhancing the performance and robustness of image synthesis systems.

Abstract

Abstract. Generative models for image generation are now commonly used for a wide variety of applications, ranging from guided image generation for entertainment to solving inverse problems. Nonetheless, training a generator is a nontrivial feat that requires fine-tuning and can lead to so-called hallucinations, that is, the generation of images that are unrealistic. In this work, we explore image generation using flow matching. We explain and demonstrate why flow matching can generate hallucinations, and we propose an iterative process to improve the generation process. Our iterative process can be integrated into virtually any generative modeling technique, thereby enhancing the performance and robustness of image synthesis systems.

Read PDF

Similar papers

Jul 2026

Motion-driven 4D scene generation

This paper presents an innovative method that leverages user-specified action paths to guide the 4D scene generation that dynamically synchronizes motions in the action path domain with their corresponding contents in the time domain.

Guo-Wei Yang, Qun-Ce Xu, Zhao Wei et al. · 0 citations
Preprint Aug 2026

SpatialCrafter: Single Image World Modeling with Generative 3D Proxies

Explorable image-to-scene generation is essential for applications in gaming, robotics, and virtual reality. Existing methods based on video diffusion model (VDM) commonly rely on incomplete conditioning signals such as sparse point clouds or 2D panoramas, leading to stochastic hallucinations, long-term drifts and suboptimal 3D consistency. We present SpatialCrafter, a novel two-stage framework that addresses these issues by introducing a global 3D proxy for high-fidelity image-to-scene generation. Specifically, we decompose the generation process into global proxy generation and appearance refinement. For proxy generation, we propose a Point-anchored Sparse Structure~(PaSS) Flow module that predicts a spatially aligned and geometrically consistent 3D proxy. For appearance refinement, we re-frame the VDM as a Generative Deferred Refiner which synthesizes high-frequency photorealistic details upon proxy-defined scene geometry. To better integrate the proxy with the pre-trained VDM, we introduce Parallel Geometry Injection and Proxy-Aware Corruption training strategies, which improve robustness to proxy artifacts without disrupting the pretrained generative manifold. Furthermore, as no suitable dataset exists for this explorable scene generation task, we construct a new large-scale dataset of 115K scenes. To the best of our knowledge, it is the first hybrid dataset for image-to-scene generation. Extensive experiments on both synthetic and real-world datasets show that SpatialCrafter outperforms state-of-the-art methods, mitigates long-term drift, and remains robust and consistent under rapid camera motion and extreme viewpoint changes. Our project page: \href{https://fangchuan.github.io/SpatialCrafter/}{fangchuan.github.io/SpatialCrafter/}

Chuan Fang, Lingteng Qiu, Yixun Liang et al. · 0 citations
Conference Jul 2026

Conditional Diffusion Framework for Hybrid Image Synthesis: Towards Photorealistic and Geometry Aware Generation

Image synthesis has become a central problem in generative AI, with applications spanning virtual reality, medical imaging, autonomous systems, and creative content generation. Diffusion-based generative models have substantially advanced the field by producing high-fidelity, visually consistent outputs, yet a fundamental tension remains: hybrid synthesis tasks require photorealism and geometric consistency to be achieved together, so that perceptual quality does not come at the cost of structural accuracy. This review surveys recent progress in conditional diffusion frameworks, with particular attention to geometry-aware conditioning mechanisms that connect appearance and structure. Our contributions are a taxonomy of 18 conditioning frameworks, a six-parameter controllability analysis (Table II), formal definitions of the evaluation metrics most commonly reported in the literature (FID, SSIM, LPIPS, IS, Precision, Recall, Dice) with a consolidated reference table, an explicit architectural comparison of DDPM, DDIM, and LDM together with transformer-based generative models (DiT, VQGAN+Transformer), a structured comparison of diffusion models and GANs across deployment-relevant criteria, and a discussion of open challenges that includes the limitations of current experimental validation practice.

Kanika Verma, Khushi Aggarwal, Pradipti Singh et al. · 0 citations
Preprint Jul 2026

RefineSVG: Visual Feedback-Driven Reinforcement Learning for Image-to-SVG Generation

We propose RefineSVG, a single-step closed-loop visual feedback framework that enables multimodal large language models (MLLMs) to perform high-fidelity image-to-SVG generation through self-correction. Existing MLLM-based approaches rely on single-pass open-loop inference, where the model receives visual input only once and must generate thousands of SVG code tokens without intermediate verification. This paradigm inevitably leads to geometric drift, error accumulation, and visual hallucination on complex images. RefineSVG overcomes this limitation by invoking an external rendering engine after an initial SVG generation pass to compare the rendered output against the target image. The comparison yields a multi-dimensional visual residual map (Diff-Map) that is fed back to the model as a ReAct-style correction signal, driving a targeted correction step. To support this render-observe-correct interaction, we further introduce an SVG-oriented semantic vocabulary that compresses token sequences by over 52%. A progressive training pipeline spanning supervised fine-tuning, rejection-sampling cold-start data construction, and end-to-end agentic reinforcement learning aligns the model with closed-loop visual correction. Extensive experiments show that RefineSVG consistently outperforms existing baselines in reconstruction fidelity, structural accuracy, and code efficiency.Code is available at https://github.com/liuxiaobo66/RefineSVG.

Shaobo Liu, Feiqiao Mao, Shuaishuai Zhou et al. · 0 citations
Preprint Aug 2026

GenRec: Knowing Where to Reconstruct and Where to Generate

Generative novel view synthesis from sparse input images is rarely all reconstruction or all generation: pixels visible in some source view have a unique correct value modulated only by view-dependent shading, while pixels in disocclusions or beyond the captured volume admit a distribution of plausible completions. Existing generative novel-view-synthesis methods conflate these regimes under a single uniform loss, blurring the line between geometric fidelity and creative hallucinations even when scene geometry is injected through warped point clouds or projected depth. We introduce GenRec, a multi-view flow matching model that builds the reconstruction--generation split directly into its architecture, supervision, and gradient flow. Guided by an observation mask derived from the source cameras and a monocular depth estimator, a flow matching backbone jointly denoises RGB and scene-coordinate maps across all target views, while a pixel-space refinement stage restores high-frequency detail on observed pixels; the same mask gates supervision so regression signals do not contaminate the generative prior. Across RealEstate10K, DL3DV-10K, and Mip-NeRF~360, in both single-view extrapolation and two-view interpolation, GenRec attains the best reconstruction fidelity in observed regions while also surpassing purely generative baselines on perceptual quality in unobserved ones, showing the effectiveness of our approach.

Ata Çelen, Jaewoo Jung, Federico Tombari et al. · 0 citations

Related blog posts