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Flow-based models typically define a latent space with dimensionality identical to the observational space. In many problems, however, the data does not populate the full ambient data space that they natively reside in, rather inhabiting a…

Machine Learning · Statistics 2023-02-24 Mingtian Zhang , Yitong Sun , Chen Zhang , Steven McDonagh

We propose the NFLikelihood, an unsupervised version, based on Normalizing Flows, of the DNNLikelihood proposed in Ref.[1]. We show, through realistic examples, how Autoregressive Flows, based on affine and rational quadratic spline…

High Energy Physics - Phenomenology · Physics 2024-05-17 Humberto Reyes-Gonzalez , Riccardo Torre

Fueled by the expressive power of deep neural networks, normalizing flows have achieved spectacular success in generative modeling, or learning to draw new samples from a distribution given a finite dataset of training samples. Normalizing…

Machine Learning · Computer Science 2023-05-05 Yuehaw Khoo , Michael Lindsey , Hongli Zhao

Pooling is one of the main elements in convolutional neural networks. The pooling reduces the size of the feature map, enabling training and testing with a limited amount of computation. This paper proposes a new pooling method named…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Junhyuk Hyun , Hongje Seong , Euntai Kim

This paper introduces a generative model equivariant to Euclidean symmetries: E(n) Equivariant Normalizing Flows (E-NFs). To construct E-NFs, we take the discriminative E(n) graph neural networks and integrate them as a differential…

Machine Learning · Computer Science 2022-01-17 Victor Garcia Satorras , Emiel Hoogeboom , Fabian B. Fuchs , Ingmar Posner , Max Welling

The task of detecting anomalous data patterns is as important in practical applications as challenging. In the context of spatial data, recognition of unexpected trajectories brings additional difficulties, such as high dimensionality and…

Foundational language models show a remarkable ability to learn new concepts during inference via context data. However, similar work for images lag behind. To address this challenge, we introduce FLoWN, a flow matching model that learns to…

Machine Learning · Computer Science 2025-04-22 Daniel Saragih , Deyu Cao , Tejas Balaji , Ashwin Santhosh

Convolutional neural networks (CNNs) have recently been applied to predict or model fluid dynamics. However, mechanisms of CNNs for learning fluid dynamics are still not well understood, while such understanding is highly necessary to…

Fluid Dynamics · Physics 2021-04-06 Sangseung Lee , Donghyun You

Two-dimensional free-surface potential flows of an ideal fluid over a strongly inhomogeneous bottom are investigated with the help of conformal mappings. Weakly-nonlinear and exact nonlinear equations of motion are derived by the…

Fluid Dynamics · Physics 2016-09-08 V. P. Ruban

Normalizing flows attempt to model an arbitrary probability distribution through a set of invertible mappings. These transformations are required to achieve a tractable Jacobian determinant that can be used in high-dimensional scenarios.…

Machine Learning · Statistics 2020-04-14 Hadi M. Dolatabadi , Sarah Erfani , Christopher Leckie

This paper introduces versatile filters to construct efficient convolutional neural networks that are widely used in various visual recognition tasks. Considering the demands of efficient deep learning techniques running on cost-effective…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Kai Han , Yunhe Wang , Chang Xu , Chunjing Xu , Enhua Wu , Dacheng Tao

The choice of approximate posterior distribution is one of the core problems in variational inference. Most applications of variational inference employ simple families of posterior approximations in order to allow for efficient inference,…

Machine Learning · Statistics 2016-06-15 Danilo Jimenez Rezende , Shakir Mohamed

Normalizing flows model complex probability distributions by combining a base distribution with a series of bijective neural networks. State-of-the-art architectures rely on coupling and autoregressive transformations to lift up invertible…

Machine Learning · Computer Science 2021-02-15 Antoine Wehenkel , Gilles Louppe

Convolutional layers are one of the basic building blocks of modern deep neural networks. One fundamental assumption is that convolutional kernels should be shared for all examples in a dataset. We propose conditionally parameterized…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Brandon Yang , Gabriel Bender , Quoc V. Le , Jiquan Ngiam

In a traditional convolutional layer, the learned filters stay fixed after training. In contrast, we introduce a new framework, the Dynamic Filter Network, where filters are generated dynamically conditioned on an input. We show that this…

Machine Learning · Computer Science 2016-06-07 Bert De Brabandere , Xu Jia , Tinne Tuytelaars , Luc Van Gool

Establishing visual correspondences under large intra-class variations requires analyzing images at different levels, from features linked to semantics and context to local patterns, while being invariant to instance-specific details. To…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Juhong Min , Jongmin Lee , Jean Ponce , Minsu Cho

Vessel segmentation is an essential task in many clinical applications. Although supervised methods have achieved state-of-art performance, acquiring expert annotation is laborious and mostly limited for two-dimensional datasets with a…

Image and Video Processing · Electrical Eng. & Systems 2021-07-23 Rohit Jena , Sumedha Singla , Kayhan Batmanghelich

Invertible flow-based generative models are an effective method for learning to generate samples, while allowing for tractable likelihood computation and inference. However, the invertibility requirement restricts models to have the same…

Machine Learning · Computer Science 2020-02-21 Abhishek Kumar , Ben Poole , Kevin Murphy

The high dimensionality and complex dynamics of turbulent flows in urban street canyons present significant challenges for wind and environmental engineering, particularly in addressing air quality, pollutant dispersion, and extreme wind…

Fluid Dynamics · Physics 2025-01-24 Tomek Jaroslawski , Aakash Patil , Beverley McKeon

The best way to combine the results of deep learning with standard 3D reconstruction pipelines remains an open problem. While systems that pass the output of traditional multi-view stereo approaches to a network for regularisation or…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Tristan Laidlow , Jan Czarnowski , Andrea Nicastro , Ronald Clark , Stefan Leutenegger