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Diffusion-based samplers -- Score Based Diffusions, Bridge Diffusions and Path Integral Diffusions -- match a target at terminal time, but the real leverage comes from choosing the schedule that governs the intermediate-time dynamics. We…

机器学习 · 计算机科学 2025-12-16 Michael Chertkov , Hamidreza Behjoo

Boosted decision trees typically yield good accuracy, precision, and ROC area. However, because the outputs from boosting are not well calibrated posterior probabilities, boosting yields poor squared error and cross-entropy. We empirically…

机器学习 · 计算机科学 2012-07-09 Alexandru Niculescu-Mizil , Richard A. Caruana

While methods exist for aligning flow matching models--a popular and effective class of generative models--with human preferences, existing approaches fail to achieve both adaptation efficiency and probabilistically sound prior…

机器学习 · 计算机科学 2026-03-04 Zhen Liu , Tim Z. Xiao , Carles Domingo-Enrich , Weiyang Liu , Dinghuai Zhang

This paper presents a novel machine-learning framework for reconstructing low-order gust-encounter flow field and lift coefficients from sparse, noisy surface pressure measurements. Our study thoroughly investigates the time-varying…

机器学习 · 计算机科学 2025-06-25 Hanieh Mousavi , Jeff D. Eldredge

This work presents mixed variational flows (MixFlows), a new variational family that consists of a mixture of repeated applications of a map to an initial reference distribution. First, we provide efficient algorithms for i.i.d. sampling,…

机器学习 · 统计学 2025-06-03 Zuheng Xu , Naitong Chen , Trevor Campbell

Variational inference is a technique that approximates a target distribution by optimizing within the parameter space of variational families. On the other hand, Wasserstein gradient flows describe optimization within the space of…

机器学习 · 统计学 2023-11-01 Mingxuan Yi , Song Liu

Particle Flow Filters estimate the ``a posteriori" probability density function (PDF) by moving an ensemble of particles according to the likelihood. Particles are propagated under the system dynamics until a measurement becomes available…

计算工程、金融与科学 · 计算机科学 2025-05-06 Simone Servadio

Dynamical generative models that produce samples through an iterative process, such as Flow Matching and denoising diffusion models, have seen widespread use, but there have not been many theoretically-sound methods for improving these…

机器学习 · 计算机科学 2025-01-08 Carles Domingo-Enrich , Michal Drozdzal , Brian Karrer , Ricky T. Q. Chen

Drawing upon the bursting mechanism in slow-fast systems, we propose indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates. The indicators are associated with functionals…

动力系统 · 数学 2016-09-21 Mohammad Farazmand , Themistoklis Sapsis

We apply the method of flow equations to describe quantum systems subject to a time-periodic drive with a time-dependent envelope. The driven Hamiltonian is expressed in terms of its constituent Fourier harmonics with amplitudes that may…

量子物理 · 物理学 2022-01-12 Viktor Novičenko , Giedrius Žlabys , Egidijus Anisimovas

This work proposes a statistically enhanced framework to address the instability and limited predictive capability of conventional Galerkin-Proper Orthogonal Decomposition (Galerkin-POD) models. The method reformulates the correction of the…

流体动力学 · 物理学 2026-04-15 Bijie Yang , Chengyuan Liu , Lu Tian , Yuping Qian , Mingyang Yang

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

Wind farm flow control aims to improve wind turbine performance by reducing aerodynamic wake interaction between turbines. Dynamic, physics-based models of wind farm flows have been essential for exploring control strategies such as wake…

系统与控制 · 电气工程与系统科学 2022-11-15 Maarten J. van den Broek , Delphine De Tavernier , Benjamin Sanderse , Jan-Willem van Wingerden

This paper presents an adaptive stochastic spectral embedding (ASSE) method to solve the probabilistic AC optimal power flow (AC-OPF), a critical aspect of power system operation. The proposed method can efficiently and accurately estimate…

系统与控制 · 电气工程与系统科学 2024-01-22 Xiaoting Wang , Jingyu Liu , Xiaozhe Wang

We introduce notions of dynamic gradient flows on time-dependent metric spaces as well as on time-dependent Hilbert spaces. We prove existence of solutions for a class of time dependent energy functionals in both settings. In particular we…

概率论 · 数学 2018-01-03 Eva Kopfer

Artificial intelligence-based three-dimensional(3D) fluid modeling has gained significant attention in recent years. However, the accuracy of such models is often limited by the processing of irregular flow data. In order to bolster the…

流体动力学 · 物理学 2023-07-17 Xin Li , Zhiwen Deng , Rui Feng , Ziyang Liu , Renkun Han , Hongsheng Liu , Gang Chen

Diffusion-based visuomotor policies effectively capture multimodal action distributions through iterative denoising, but their high inference latency limits real-time robotic control. Recent flow matching and consistency-based methods…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Chongyang Xu , Yixian Zou , Ziliang Feng , Fanman Meng , Shuaicheng Liu

We study convergence rates of AdaGrad-Norm as an exemplar of adaptive stochastic gradient methods (SGD), where the step sizes change based on observed stochastic gradients, for minimizing non-convex, smooth objectives. Despite their…

Boosting is a celebrated machine learning approach which is based on the idea of combining weak and moderately inaccurate hypotheses to a strong and accurate one. We study boosting under the assumption that the weak hypotheses belong to a…

机器学习 · 计算机科学 2024-02-14 Noga Alon , Alon Gonen , Elad Hazan , Shay Moran

We present a new paradigm for Neural ODE algorithms, called ODEtoODE, where time-dependent parameters of the main flow evolve according to a matrix flow on the orthogonal group O(d). This nested system of two flows, where the parameter-flow…