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Variational Autoencoders (VAEs) provide a theoretically-backed and popular framework for deep generative models. However, learning a VAE from data poses still unanswered theoretical questions and considerable practical challenges. In this…

机器学习 · 计算机科学 2020-06-01 Partha Ghosh , Mehdi S. M. Sajjadi , Antonio Vergari , Michael Black , Bernhard Schölkopf

Training-free guidance enables pre-trained diffusion and flow models to optimize application-specific objectives using feedback from external black-box reward functions. However, existing methods are feedback-inefficient because reward…

机器学习 · 计算机科学 2026-05-19 Kim Yong Tan , Yueming Lyu , Ivor Tsang , Yew-Soon Ong

In this manuscript, we consider the problem of learning a flow or diffusion-based generative model parametrized by a two-layer auto-encoder, trained with online stochastic gradient descent, on a high-dimensional target density with an…

机器学习 · 计算机科学 2025-11-11 Hugo Cui , Cengiz Pehlevan , Yue M. Lu

Multiscale spatial structure complicates temporal prediction because small-scale spatial fluctuations influence large-scale evolution, yet resolving all scales is often intractable. Standard diffusion models do not address this problem…

流体动力学 · 物理学 2026-04-02 Yuki Yasuda , Tobias Bischoff

Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

机器学习 · 计算机科学 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

We introduce Equilibrium Matching (EqM), a generative modeling framework built from an equilibrium dynamics perspective. EqM discards the non-equilibrium, time-conditional dynamics in traditional diffusion and flow-based generative models…

机器学习 · 计算机科学 2025-10-14 Runqian Wang , Yilun Du

The present paper aims to demonstrate the usage of Convolutional Neural Networks as a generative model for stochastic processes, enabling researchers from a wide range of fields (such as quantitative finance and physics) to develop a…

机器学习 · 统计学 2018-01-12 Fernando Fernandes Neto

Energy-based models (EBMs) are a powerful class of probabilistic generative models due to their flexibility and interpretability. However, relationships between potential flows and explicit EBMs remain underexplored, while contrastive…

For intelligent transportation systems and autonomous vehicles to operate safely and efficiently, they must reliably predict the future motion and trajectory of surrounding agents within complex traffic environments. At the same time, the…

机器学习 · 计算机科学 2025-08-05 Mitch Kosieradzki , Seongjin Choi

Significant progress has been made in training large generative models for natural language and images. Yet, the advancement of 3D generative models is hindered by their substantial resource demands for training, along with inefficient,…

计算机视觉与模式识别 · 计算机科学 2024-09-11 Ka-Hei Hui , Aditya Sanghi , Arianna Rampini , Kamal Rahimi Malekshan , Zhengzhe Liu , Hooman Shayani , Chi-Wing Fu

The design of mean and variance schedules for the perturbed signal is a fundamental challenge in generative models. While score-based and Schr\"odinger bridge-based models require careful selection of the stochastic differential equation to…

声音 · 计算机科学 2025-09-10 Taihui Wang , Rilin Chen , Tong Lei , Andong Li , Jinzheng Zhao , Meng Yu , Dong Yu

Coarse-grained (CG) models provide an effective route to reducing the complexity of molecular simulations (MD), but conventional approaches depend heavily on long all-atom MD trajectories to adequately sample configurational space. This…

化学物理 · 物理学 2025-10-28 Maximilian Stupp , P. S. Koutsourelakis

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

机器学习 · 统计学 2026-03-11 Shinto Eguchi

We propose a geometry-to-flow diffusion model that utilizes obstacle shape as input to predict a flow field around an obstacle. The model is based on a learnable Markov transition kernel to recover the data distribution from the Gaussian…

流体动力学 · 物理学 2025-12-30 Jiajun Hu , Zhen Lu , Yue Yang

The geometry of generative models serves as the basis for interpolation, model inspection, and more. Unfortunately, most generative models lack a principal notion of geometry without restrictive assumptions on either the model or the data…

机器学习 · 计算机科学 2026-01-30 Frederik Möbius Rygaard , Shen Zhu , Yinzhu Jin , Søren Hauberg , Tom Fletcher

Effective trajectory generation is essential for reliable on-board spacecraft autonomy. Among other approaches, learning-based warm-starting represents an appealing paradigm for solving the trajectory generation problem, effectively…

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

机器学习 · 计算机科学 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Flow-based methods have achieved significant success in various generative modeling tasks, capturing nuanced details within complex data distributions. However, few existing works have exploited this unique capability to resolve…

机器学习 · 统计学 2026-02-03 Yakun Wang , Leyang Wang , Song Liu , Taiji Suzuki

We propose a simple and effective modeling framework for controlled generation of multiple, diverse outputs. We focus on the setting of generating the next sentence of a story given its context. As controllable dimensions, we consider…

计算与语言 · 计算机科学 2020-06-03 Lifu Tu , Xiaoan Ding , Dong Yu , Kevin Gimpel

Just as an explicit parameterisation of system dynamics by state, i.e., a choice of coordinates, can impede the identification of general structure, so it is too with an explicit parameterisation of system dynamics by control. However, such…

最优化与控制 · 数学 2014-06-16 Saber Jafarpour , Andrew D. Lewis