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We introduce an end-to-end deep learning architecture called the wide-band butterfly network (WideBNet) for approximating the inverse scattering map from wide-band scattering data. This architecture incorporates tools from computational…

Machine Learning · Computer Science 2021-11-01 Matthew Li , Laurent Demanet , Leonardo Zepeda-Núñez

We introduce NaturalInversion, a novel model inversion-based method to synthesize images that agrees well with the original data distribution without using real data. In NaturalInversion, we propose: (1) a Feature Transfer Pyramid which…

Computer Vision and Pattern Recognition · Computer Science 2023-06-30 Yujin Kim , Dogyun Park , Dohee Kim , Suhyun Kim

Point clouds are the native output of many real-world 3D sensors. To borrow the success of 2D convolutional network architectures, a majority of popular 3D perception models voxelize the points, which can result in a loss of local geometric…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Yuwen Xiong , Mengye Ren , Renjie Liao , Kelvin Wong , Raquel Urtasun

Normalizing flow is a generative modeling approach with efficient sampling. However, Flow-based models suffer two issues: 1) If the target distribution is manifold, due to the unmatch between the dimensions of the latent target distribution…

Machine Learning · Computer Science 2024-04-24 Qinglong Meng , Chongkun Xia , Xueqian Wang

We propose a neural hybrid model consisting of a linear model defined on a set of features computed by a deep, invertible transformation (i.e. a normalizing flow). An attractive property of our model is that both p(features), the density of…

Machine Learning · Computer Science 2019-05-30 Eric Nalisnick , Akihiro Matsukawa , Yee Whye Teh , Dilan Gorur , Balaji Lakshminarayanan

Recent advances in generative modeling have demonstrated strong promise for high-quality point cloud upsampling. In this work, we present PUFM++, an enhanced flow-matching framework for reconstructing dense and accurate point clouds from…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Zhi-Song Liu , Chenhang He , Roland Maier , Andreas Rupp

Continuous diffusion and flow matching models could represent a powerful alternative to autoregressive approaches for language modelling (LM), as they unlock a host of advantages currently reserved for continuous modalities, including…

Machine Learning · Computer Science 2026-05-12 Oscar Davis , Anastasiia Filippova , Pierre Ablin , Victor Turrisi , Amitis Shidani , Marco Cuturi , Louis Béthune

Based on the manifold hypothesis, real-world data often lie on a low-dimensional manifold, while normalizing flows as a likelihood-based generative model are incapable of finding this manifold due to their structural constraints. So, one…

Machine Learning · Computer Science 2022-06-08 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

We propose an end-to-end deep learning framework that comprehensively solves the inverse wave scattering problem across all length scales. Our framework consists of the newly introduced wide-band butterfly network coupled with a simple…

Numerical Analysis · Mathematics 2021-06-03 Matthew Li , Laurent Demanet , Leonardo Zepeda-Núñez

In this paper, we propose a simple yet effective method to represent point clouds as sets of samples drawn from a cloud-specific probability distribution. This interpretation matches intrinsic characteristics of point clouds: the number of…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Michał Stypułkowski , Kacper Kania , Maciej Zamorski , Maciej Zięba , Tomasz Trzciński , Jan Chorowski

Point clouds are an increasingly relevant data type but they are often corrupted by noise. We propose a deep neural network based on graph-convolutional layers that can elegantly deal with the permutation-invariance problem encountered by…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Francesca Pistilli , Giulia Fracastoro , Diego Valsesia , Enrico Magli

We propose a new class of generative diffusion models, called functional diffusion. In contrast to previous work, functional diffusion works on samples that are represented by functions with a continuous domain. Functional diffusion can be…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Biao Zhang , Peter Wonka

Diffusion models represent a class of generative models that produce data by denoising a sample corrupted by white noise. Despite the success of diffusion models in computer vision, audio synthesis, and point cloud generation, so far they…

Statistical Mechanics · Physics 2025-01-17 Kanta Masuki , Yuto Ashida

Both classical Fourier transform-based methods and neural network methods are widely used in image processing tasks. The former has better interpretability, whereas the latter often achieves better performance in practice. This paper…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Gengzhi Yang , Yingzhou Li

We propose a framework using normalizing-flow based models, SELF-Referencing Embedded Strings, and multi-objective optimization that efficiently generates small molecules. With an initial training set of only 100 small molecules, FastFlows…

Chemical Physics · Physics 2022-02-01 Nathan C. Frey , Vijay Gadepally , Bharath Ramsundar

Normalising Flows are non-parametric statistical models characterised by their dual capabilities of density estimation and generation. This duality requires an inherently invertible architecture. However, the requirement of invertibility…

Machine Learning · Statistics 2024-06-28 Eshant English , Matthias Kirchler , Christoph Lippert

Normalizing flows (NF) are a class of powerful generative models that have gained popularity in recent years due to their ability to model complex distributions with high flexibility and expressiveness. In this work, we introduce a new type…

Machine Learning · Computer Science 2023-06-08 Jonas Köhler , Michele Invernizzi , Pim de Haan , Frank Noé

We propose a novel framework for fast integral operations by uncovering hidden geometries in the row and column structures of the underlying operators. This is accomplished through the \texttt{Questionnaire} algorithm, an iterative…

Numerical Analysis · Mathematics 2026-02-27 Pei-Chun Su , Ronald R. Coifman

Flow based generative models have charted an impressive path across multiple visual generation tasks by adhering to a simple principle: learning velocity representations of a linear interpolant. However, we observe that training velocity…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Inkyu Shin , Chenglin Yang , Liang-Chieh Chen

Estimating three-dimensional conformations of a molecular graph allows insight into the molecule's biological and chemical functions. Fast generation of valid conformations is thus central to molecular modeling. Recent advances in…

Machine Learning · Computer Science 2025-02-18 Sohil Atul Shah , Vladlen Koltun
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