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We introduce Neural Flow Maps, a novel simulation method bridging the emerging paradigm of implicit neural representations with fluid simulation based on the theory of flow maps, to achieve state-of-the-art simulation of inviscid fluid…

Graphics · Computer Science 2023-12-25 Yitong Deng , Hong-Xing Yu , Diyang Zhang , Jiajun Wu , Bo Zhu

Real-world data with underlying structure, such as pictures of faces, are hypothesized to lie on a low-dimensional manifold. This manifold hypothesis has motivated state-of-the-art generative algorithms that learn low-dimensional data…

Machine Learning · Statistics 2022-04-28 Edmond Cunningham , Renos Zabounidis , Abhinav Agrawal , Madalina Fiterau , Daniel Sheldon

Of particular interest is to discover useful representations solely from observations in an unsupervised generative manner. However, the question of whether existing normalizing flows provide effective representations for downstream tasks…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Shen Li , Bryan Hooi

Lack of texture often causes ambiguity in matching, and handling this issue is an important challenge in optical flow estimation. Some methods insert stacked transformer modules that allow the network to use global information of cost…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Jiawei Xu , Zongqing Lu , Qingmin Liao

Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

Machine Learning · Statistics 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell

Estimating causal effects from observational data has become increasingly critical in diverse fields including healthcare, economics, and social policy. The fundamental challenge in causal inference arises from the missing counterfactuals…

Machine Learning · Computer Science 2026-05-08 Yifei Xie , Jian Huang

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…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Dayu Wang , Jiaye Yang , Weikang Li , Jiahui Liang , Yang Li

Real-time high-accuracy optical flow estimation is critical for a variety of real-world robotic applications. However, current learning-based methods often struggle to balance accuracy and computational efficiency: methods that achieve high…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Zhiyong Zhang , Aniket Gupta , Huaizu Jiang , Hanumant Singh

Normalising flows (NFS) map two density functions via a differentiable bijection whose Jacobian determinant can be computed efficiently. Recently, as an alternative to hand-crafted bijections, Huang et al. (2018) proposed neural…

Machine Learning · Statistics 2019-04-10 Nicola De Cao , Ivan Titov , Wilker Aziz

Normalizing Flows provide a principled framework for high-dimensional density estimation and generative modeling by constructing invertible transformations with tractable Jacobian determinants. We propose Fractal Flow, a novel normalizing…

Machine Learning · Statistics 2025-08-28 Binhui Zhang , Jianwei Ma

State-of-the-art neural network models for optical flow estimation require a dense correlation volume at high resolutions for representing per-pixel displacement. Although the dense correlation volume is informative for accurate estimation,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Shihao Jiang , Yao Lu , Hongdong Li , Richard Hartley

To apply optical flow in practice, it is often necessary to resize the input to smaller dimensions in order to reduce computational costs. However, downsizing inputs makes the estimation more challenging because objects and motion ranges…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Hyunyoung Jung , Zhuo Hui , Lei Luo , Haitao Yang , Feng Liu , Sungjoo Yoo , Rakesh Ranjan , Denis Demandolx

Normalizing flows and autoregressive models have been successfully combined to produce state-of-the-art results in density estimation, via Masked Autoregressive Flows (MAF), and to accelerate state-of-the-art WaveNet-based speech synthesis…

Machine Learning · Computer Science 2018-04-04 Chin-Wei Huang , David Krueger , Alexandre Lacoste , Aaron Courville

The dynamics of neuron populations commonly evolve on low-dimensional manifolds. Thus, we need methods that learn the dynamical processes over neural manifolds to infer interpretable and consistent latent representations. We introduce a…

Machine Learning · Computer Science 2025-01-31 Adam Gosztolai , Robert L. Peach , Alexis Arnaudon , Mauricio Barahona , Pierre Vandergheynst

Current density modeling approaches suffer from at least one of the following shortcomings: expensive training, slow inference, approximate likelihood, mode collapse or architectural constraints like bijective mappings. We propose a simple…

Machine Learning · Computer Science 2025-10-01 Marcello Massimo Negri , Jonathan Aellen , Manuel Jahn , AmirEhsan Khorashadizadeh , Volker Roth

Neural Processes (NPs) are a rapidly evolving class of models designed to directly model the posterior predictive distribution of stochastic processes. While early architectures were developed primarily as a scalable alternative to Gaussian…

The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

Machine Learning · Statistics 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

Dataflow scheduling decisions are of vital importance to neural network (NN) accelerators. Recent scalable NN accelerators support a rich set of advanced dataflow techniques. The problems of comprehensively representing and quickly finding…

Hardware Architecture · Computer Science 2023-06-29 Zhiyao Li , Mingyu Gao

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…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Yang Chen , Xiaowei Xu , Shuai Wang , Chenhui Zhu , Ruxue Wen , Xubin Li , Tiezheng Ge , Limin Wang

We reconstruct the velocity field of incompressible flows given a finite set of measurements. For the spatial approximation, we introduce the Sparse Fourier divergence-free (SFdf) approximation based on a discrete $L^2$ projection. Within…

Fluid Dynamics · Physics 2021-10-13 Luis Espath , Dmitry Kabanov , Jonas Kiessling , Raúl Tempone