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Flow Matching Guide and Code

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60 Pith papers citing it
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abstract

Flow Matching (FM) is a recent framework for generative modeling that has achieved state-of-the-art performance across various domains, including image, video, audio, speech, and biological structures. This guide offers a comprehensive and self-contained review of FM, covering its mathematical foundations, design choices, and extensions. By also providing a PyTorch package featuring relevant examples (e.g., image and text generation), this work aims to serve as a resource for both novice and experienced researchers interested in understanding, applying and further developing FM.

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representative citing papers

Generative models on phase space

hep-ph · 2026-04-02 · unverdicted · novelty 8.0

Generative diffusion and flow models are constructed to remain exactly on the Lorentz-invariant massless N-particle phase space manifold during sampling for particle physics applications.

Generative Modeling by Value-Driven Transport

cs.LG · 2026-05-21 · unverdicted · novelty 7.0

A control-theoretic linear program yields value-driven transport policies for generative modeling with straight paths and simulation-free training.

Discrete Flow Matching Policy Optimization

cs.LG · 2026-04-07 · unverdicted · novelty 7.0

DoMinO reformulates discrete flow matching sampling as an MDP for unbiased RL fine-tuning with new TV regularizers, yielding better enhancer activity and naturalness on DNA design tasks.

Beyond VLM-Based Rewards: Diffusion-Native Latent Reward Modeling

cs.CV · 2026-02-11 · unverdicted · novelty 7.0

DiNa-LRM introduces a diffusion-native latent reward model using a noise-calibrated Thurstone likelihood on noisy states, matching VLM performance at lower compute in image alignment and preference optimization.

Is Flow Matching Just Trajectory Replay for Sequential Data?

stat.ML · 2026-02-09 · unverdicted · novelty 7.0

Flow matching on time series targets a closed-form nonparametric velocity field that is a similarity-weighted mixture of observed transition velocities, making neural models approximations to an ideal memory-augmented dynamical system sampler.

On The Hidden Biases of Flow Matching Samplers

stat.ML · 2025-12-18 · unverdicted · novelty 7.0

Empirical flow matching introduces coupled biases from plug-in estimation, including altered statistical targets, non-gradient minimizers, and non-unique dynamics via flux-null fields, with base distribution controlling kinetic energy tails.

Lance: Unified Multimodal Modeling by Multi-Task Synergy

cs.CV · 2026-05-18 · unverdicted · novelty 6.0 · 2 refs

Lance presents a dual-stream mixture-of-experts model with modality-aware positional encoding and staged multi-task training that outperforms prior open-source unified models on image and video generation while keeping strong understanding performance.

Wavelet Flow Matching for Multi-Scale Physics Emulation

cs.LG · 2026-05-15 · unverdicted · novelty 6.0

Wavelet Flow Matching emulates multi-scale PDE-governed systems by transporting velocities directly in a hierarchical wavelet representation via U-Net, yielding improved long-horizon stability and spectral accuracy on fluid benchmarks.

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Showing 7 of 7 citing papers after filters.

  • LeapAlign: Post-Training Flow Matching Models at Any Generation Step by Building Two-Step Trajectories cs.CV · 2026-04-16 · unverdicted · none · ref 28 · internal anchor

    LeapAlign fine-tunes flow matching models by constructing two consecutive leaps that skip multiple ODE steps with randomized timesteps and consistency weighting, enabling stable updates at any generation step.

  • PRTS: A Primitive Reasoning and Tasking System via Contrastive Representations cs.AI · 2026-04-30 · unverdicted · none · ref 19 · internal anchor

    PRTS pretrains VLA models with contrastive goal-conditioned RL to embed goal-reachability probabilities from offline data, yielding SOTA results on robotic benchmarks especially for long-horizon and novel instructions.

  • Fisher Decorator: Refining Flow Policy via a Local Transport Map cs.LG · 2026-04-20 · unverdicted · none · ref 31 · internal anchor

    Fisher Decorator refines flow policies in offline RL via a local transport map and Fisher-matrix quadratic approximation of the KL constraint, yielding controllable error near the optimum and SOTA benchmark results.

  • FASTER: Rethinking Real-Time Flow VLAs cs.RO · 2026-03-19 · unverdicted · none · ref 47 · 2 links · internal anchor

    FASTER adds a Horizon-Aware Schedule to flow VLAs that compresses immediate-action denoising to one step while keeping long-horizon trajectory quality, lowering real-robot reaction latency.

  • Exploring Time Conditioning in Diffusion Generative Models from Disjoint Noisy Data Manifolds cs.LG · 2026-04-28 · unverdicted · none · ref 83 · internal anchor

    Aligning the DDIM forward diffusion process with flow-matching manifold evolution enables high-quality generation without time conditioning, and class-conditional synthesis is possible with an unconditional denoiser by using separate time spaces per class.

  • Exploring Motion-Language Alignment for Text-driven Motion Generation cs.CV · 2026-04-03 · unverdicted · none · ref 37 · internal anchor

    MLA-Gen advances text-driven motion synthesis by aligning global motion patterns with fine-grained text semantics and mitigating attention sink effects via new masking techniques.

  • Woosh: A Sound Effects Foundation Model cs.SD · 2026-04-02 · accept · none · ref 33 · internal anchor

    Woosh is a new publicly released foundation model optimized for high-quality sound effect generation from text or video, showing competitive or better results than open alternatives like Stable Audio Open.