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We present an efficient deep learning technique for the model reduction of the Navier-Stokes equations for unsteady flow problems. The proposed technique relies on the Convolutional Neural Network (CNN) and the stochastic gradient descent…

流体动力学 · 物理学 2018-08-16 Tharindu P. Miyanawala , Rajeev K. Jaiman

This paper proposes a deep neural network (DNN)-driven framework to address the longstanding generalization challenge in adaptive filtering (AF). In contrast to traditional AF frameworks that emphasize explicit cost function design, the…

机器学习 · 统计学 2025-08-07 Qizhen Wang , Gang Wang , Ying-Chang Liang

We propose a general framework to learn deep generative models via \textbf{V}ariational \textbf{Gr}adient Fl\textbf{ow} (VGrow) on probability spaces. The evolving distribution that asymptotically converges to the target distribution is…

机器学习 · 计算机科学 2019-05-07 Yuan Gao , Yuling Jiao , Yang Wang , Yao Wang , Can Yang , Shunkang Zhang

In this paper, we propose a score-based normalizing flow method called DAG-NF to learn dependencies of input observation data. Inspired by Grad-CAM in computer vision, we use jacobian matrix of output on input as causal relationships and…

机器学习 · 计算机科学 2020-10-08 Xiongren Chen

Existing graph generative models often face a critical trade-off between sample quality and generation speed. We introduce Autoregressive Noisy Filtration Modeling (ANFM), a flexible autoregressive framework that addresses both challenges.…

机器学习 · 计算机科学 2026-02-17 Markus Krimmel , Jenna Wiens , Karsten Borgwardt , Dexiong Chen

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

流体动力学 · 物理学 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

Training of the neural autoregressive density estimator (NADE) can be viewed as doing one step of probabilistic inference on missing values in data. We propose a new model that extends this inference scheme to multiple steps, arguing that…

机器学习 · 统计学 2014-12-09 Tapani Raiko , Li Yao , Kyunghyun Cho , Yoshua Bengio

Nonstationary spatial processes can often be represented as stationary processes on a warped spatial domain. Selecting an appropriate spatial warping function for a given application is often difficult and, as a result of this, warping…

统计方法学 · 统计学 2026-05-20 Pratik Nag , Andrew Zammit-Mangion , Ying Sun

Real-time traffic flow prediction can not only provide travelers with reliable traffic information so that it can save people's time, but also assist the traffic management agency to manage traffic system. It can greatly improve the…

机器学习 · 统计学 2018-08-17 Zeren Tan , Ruimin Li

Methods based on Deep Learning have recently been applied on astrophysical parameter recovery thanks to their ability to capture information from complex data. One of these methods is the approximate Bayesian Neural Networks (BNNs) which…

天体物理仪器与方法 · 物理学 2023-06-21 Héctor J. Hortúa , Luz Ángela García , Leonardo Castañeda C

Many score-based active learning methods have been successfully applied to graph-structured data, aiming to reduce the number of labels and achieve better performance of graph neural networks based on predefined score functions. However,…

机器学习 · 计算机科学 2023-04-25 Yinchuan Li , Zhigang Li , Wenqian Li , Yunfeng Shao , Yan Zheng , Jianye Hao

Normalizing Flows (NFs) are a class of generative models distinguished by a mathematically invertible architecture, where the forward pass transforms data into a latent space for density estimation, and the reverse pass generates new…

计算机视觉与模式识别 · 计算机科学 2025-12-05 Yang Chen , Xiaowei Xu , Shuai Wang , Chenhui Zhu , Ruxue Wen , Xubin Li , Tiezheng Ge , Limin Wang

The Normalizing Flow (NF) models a general probability density by estimating an invertible transformation applied on samples drawn from a known distribution. We introduce a new type of NF, called Deep Diffeomorphic Normalizing Flow (DDNF).…

机器学习 · 统计学 2018-11-26 Hadi Salman , Payman Yadollahpour , Tom Fletcher , Kayhan Batmanghelich

The field of image synthesis is currently flourishing due to the advancements in diffusion models. While diffusion models have been successful, their computational intensity has prompted the pursuit of more efficient alternatives. As a…

计算机视觉与模式识别 · 计算机科学 2024-06-11 Zanlin Ni , Yulin Wang , Renping Zhou , Jiayi Guo , Jinyi Hu , Zhiyuan Liu , Shiji Song , Yuan Yao , Gao Huang

Autoregressive (AR) models remain widely used in time series analysis due to their interpretability, but convencional parameter estimation methods can be computationally expensive and prone to convergence issues. This paper proposes a…

机器学习 · 统计学 2026-03-20 Anaísa Lucena , Ana Martins , Armando J. Pinho , Sónia Gouveia

We posit that autoregressive flow models are well-suited to performing a range of causal inference tasks - ranging from causal discovery to making interventional and counterfactual predictions. In particular, we exploit the fact that…

机器学习 · 统计学 2020-07-28 Ricardo Pio Monti , Ilyes Khemakhem , Aapo Hyvarinen

The fractional advection-dispersion equation (FADE) has attracted increased attention from researchers as it provides an accurate description for challenging phenomenas with long-range time memory and spatial interactions, such as the…

数值分析 · 数学 2019-02-12 Huan Liu , Hong Wang , Xiangcheng Zheng

Bayesian inference with computationally expensive likelihood evaluations remains a significant challenge in many scientific domains. We propose normalizing flow regression (NFR), a novel offline inference method for approximating posterior…

机器学习 · 统计学 2025-04-17 Chengkun Li , Bobby Huggins , Petrus Mikkola , Luigi Acerbi

Normalizing flows are a powerful class of generative models for continuous random variables, showing both strong model flexibility and the potential for non-autoregressive generation. These benefits are also desired when modeling discrete…

机器学习 · 统计学 2019-06-06 Zachary M. Ziegler , Alexander M. Rush

Masked autoregressive flow (MAF) is a state-of-the-art non-parametric density estimation technique. It is based on the idea (known as a normalizing flow) that a simple base probability distribution can be mapped into a complicated target…

天体物理仪器与方法 · 物理学 2023-05-25 Rico K. L. Lo