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We present Riemannian Gaussian Variational Flow Matching (RG-VFM), a geometric extension of Variational Flow Matching (VFM) for generative modeling on manifolds. Motivated by the benefits of VFM, we derive a variational flow matching…

Robust robot planning in dynamic, human-centric environments remains challenging due to multimodal uncertainty, the need for real-time adaptation, and safety requirements. Optimization-based planners enable explicit constraint handling but…

机器人学 · 计算机科学 2026-03-24 Kazuki Mizuta , Karen Leung

The task of conditional generation is one of the most important applications of generative models, and numerous methods have been developed to date based on the celebrated flow-based models. However, many flow-based models in use today are…

机器学习 · 计算机科学 2024-07-08 Noboru Isobe , Masanori Koyama , Jinzhe Zhang , Kohei Hayashi , Kenji Fukumizu

Flow Matching has recently emerged as a popular class of generative models for simulating a target distribution $\mu_1$ from samples drawn from a source distribution $\mu_0$. This framework relies on a fixed coupling between $\mu_0$ and…

机器学习 · 计算机科学 2026-05-12 Le-Tuyet-Nhi Pham , Giovanni Conforti , Zhenjie Ren , Alain Durmus

The use of guidance to steer sampling toward desired outcomes has been widely explored within diffusion models, especially in applications such as image and trajectory generation. However, incorporating guidance during training remains…

机器学习 · 计算机科学 2025-05-21 Marvin Alles , Nutan Chen , Patrick van der Smagt , Botond Cseke

Unconditional flow-matching trains diffusion models to transport samples from a source distribution to a target distribution by enforcing that the flows between sample pairs are unique. However, in conditional settings (e.g.,…

计算机视觉与模式识别 · 计算机科学 2025-06-06 George Stoica , Vivek Ramanujan , Xiang Fan , Ali Farhadi , Ranjay Krishna , Judy Hoffman

Structure-based drug design (SBDD), aiming to generate 3D molecules with high binding affinity toward target proteins, is a vital approach in novel drug discovery. Although recent generative models have shown great potential, they suffer…

机器学习 · 计算机科学 2025-11-05 Jingyuan Zhou , Hao Qian , Shikui Tu , Lei Xu

Flow Matching (FM) has recently emerged as a leading approach for high-fidelity visual generation, offering a robust continuous-time alternative to ordinary differential equation (ODE) based models. However, despite their success, FM models…

计算机视觉与模式识别 · 计算机科学 2026-03-24 Dayu Wang , Jiaye Yang , Weikang Li , Jiahui Liang , Yang Li

This paper investigates energy guidance in generative modeling, where the target distribution is defined as $q(\mathbf x) \propto p(\mathbf x)\exp(-\beta \mathcal E(\mathbf x))$, with $p(\mathbf x)$ being the data distribution and $\mathcal…

机器学习 · 计算机科学 2025-03-10 Shiyuan Zhang , Weitong Zhang , Quanquan Gu

Understanding temporal dynamics in medical imaging is crucial for applications such as disease progression modeling, treatment planning and anatomical development tracking. However, most deep learning methods either consider only single…

计算机视觉与模式识别 · 计算机科学 2025-09-01 Nico Albert Disch , Yannick Kirchhoff , Robin Peretzke , Maximilian Rokuss , Saikat Roy , Constantin Ulrich , David Zimmerer , Klaus Maier-Hein

Controlling generative models is computationally expensive. This is because optimal alignment with a reward function--whether via inference-time steering or fine-tuning--requires estimating the value function. This task demands access to…

Flow matching has emerged as a powerful framework for generative modeling, with recent empirical successes highlighting the effectiveness of signal-space prediction ($x$-prediction). In this work, we investigate the transfer of this…

机器学习 · 计算机科学 2026-05-05 Jiadong Hong , Lei Liu , Xinyu Bian , Wenjie Wang , Zhaoyang Zhang

Modeling transformations between arbitrary data distributions is a fundamental scientific challenge, arising in applications like drug discovery and evolutionary simulation. While flow matching offers a natural framework for this task, its…

机器学习 · 计算机科学 2025-10-09 Shiye Su , Yuhui Zhang , Linqi Zhou , Rajesh Ranganath , Serena Yeung-Levy

Motion prediction has been studied in different contexts with models trained on narrow distributions and applied to downstream tasks in human motion prediction and robotics. Simultaneously, recent efforts in scaling video prediction have…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Johnathan Xie , Stefan Stojanov , Cristobal Eyzaguirre , Daniel L. K. Yamins , Jiajun Wu

Variational inference often struggles with the posterior geometry exhibited by complex hierarchical Bayesian models. Recent advances in flow-based variational families and Variationally Inferred Parameters (VIP) each address aspects of this…

机器学习 · 计算机科学 2025-11-06 Joohwan Ko , Justin Domke

Conditional generative modeling aims to learn a conditional data distribution from samples containing data-condition pairs. For this, diffusion and flow-based methods have attained compelling results. These methods use a learned (flow)…

计算机视觉与模式识别 · 计算机科学 2025-10-27 Chen Chen , Pengsheng Guo , Liangchen Song , Jiasen Lu , Rui Qian , Xinze Wang , Tsu-Jui Fu , Wei Liu , Yinfei Yang , Alex Schwing

Sampling from high-dimensional distributions is a fundamental problem in statistical research and practice. However, great challenges emerge when the target density function is unnormalized and contains isolated modes. We tackle this…

统计方法学 · 统计学 2023-04-11 Yixuan Qiu , Xiao Wang

Flow matching (FM) is a general framework for defining probability paths via Ordinary Differential Equations (ODEs) to transform between noise and data samples. Recent approaches attempt to straighten these flow trajectories to generate…

计算机视觉与模式识别 · 计算机科学 2024-07-03 Ling Yang , Zixiang Zhang , Zhilong Zhang , Xingchao Liu , Minkai Xu , Wentao Zhang , Chenlin Meng , Stefano Ermon , Bin Cui

Electrostatic generative models such as PFGM++ have recently emerged as a powerful framework, achieving state-of-the-art performance in image synthesis. PFGM++ operates in an extended data space with auxiliary dimensionality $D$, recovering…

机器学习 · 计算机科学 2025-09-29 Daniil Shlenskii , Alexander Korotin

Recent efforts have extended the flow-matching framework to discrete generative modeling. One strand of models directly works with the continuous probabilities instead of discrete tokens, which we colloquially refer to as Continuous-State…

机器学习 · 计算机科学 2025-04-15 Chaoran Cheng , Jiahan Li , Jiajun Fan , Ge Liu