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We introduce COT-GAN, an adversarial algorithm to train implicit generative models optimized for producing sequential data. The loss function of this algorithm is formulated using ideas from Causal Optimal Transport (COT), which combines…

Machine Learning · Statistics 2020-10-23 Tianlin Xu , Li K. Wenliang , Michael Munn , Beatrice Acciaio

Semantic image inpainting is a challenging task where large missing regions have to be filled based on the available visual data. Existing methods which extract information from only a single image generally produce unsatisfactory results…

Computer Vision and Pattern Recognition · Computer Science 2017-07-14 Raymond A. Yeh , Chen Chen , Teck Yian Lim , Alexander G. Schwing , Mark Hasegawa-Johnson , Minh N. Do

Deep generative models have shown tremendous capability in data density estimation and data generation from finite samples. While these models have shown impressive performance by learning correlations among features in the data, some…

Machine Learning · Computer Science 2024-05-24 Aneesh Komanduri , Xintao Wu , Yongkai Wu , Feng Chen

Generative modeling is typically framed as learning mapping rules, but from an observer's perspective without access to these rules, the task becomes disentangling the geometric support from the probability distribution. We propose that…

Machine Learning · Statistics 2025-12-04 Rui Tong

Statistical learning relies upon data sampled from a distribution, and we usually do not care what actually generated it in the first place. From the point of view of causal modeling, the structure of each distribution is induced by…

Machine Learning · Computer Science 2018-09-11 Giambattista Parascandolo , Niki Kilbertus , Mateo Rojas-Carulla , Bernhard Schölkopf

In image processing, solving inverse problems is the task of finding plausible reconstructions of an image that was corrupted by some (usually known) degradation operator. Commonly, this process is done using a generative image model that…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Idan Achituve , Hai Victor Habi , Amir Rosenfeld , Arnon Netzer , Idit Diamant , Ethan Fetaya

Stochastic interpolants unify flows and diffusions, popular generative modeling frameworks. A primary hyperparameter in these methods is the interpolation schedule that determines how to bridge a standard Gaussian base measure to an…

Machine Learning · Statistics 2026-02-04 Gabriel Damsholt , Jes Frellsen , Susanne Ditlevsen

Future 6G networks will host massive numbers of embodied intelligent agents, which require real-time channel awareness over continuous-space for autonomous decision-making. By pre-obtaining location-specific channel state information (CSI),…

Signal Processing · Electrical Eng. & Systems 2026-04-02 Tianrun Qi , Cheng-Xiang Wang , Chen Huang , Junling Li , John S Thompson

We present Scalable Interpolant Transformers (SiT), a family of generative models built on the backbone of Diffusion Transformers (DiT). The interpolant framework, which allows for connecting two distributions in a more flexible way than…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Nanye Ma , Mark Goldstein , Michael S. Albergo , Nicholas M. Boffi , Eric Vanden-Eijnden , Saining Xie

Directly sending audio signals from a transmitter to a receiver across a noisy channel may absorb consistent bandwidth and be prone to errors when trying to recover the transmitted bits. On the contrary, the recent semantic communication…

Sound · Computer Science 2023-09-15 Eleonora Grassucci , Christian Marinoni , Andrea Rodriguez , Danilo Comminiello

In many real-world scenarios, obtaining fully observed samples is prohibitively expensive or even infeasible, while partial and noisy observations are comparatively easy to collect. In this work, we study distribution restoration with…

Machine Learning · Computer Science 2026-04-07 Haoye Lu , Yaoliang Yu , Darren Lo

Molecular transitions -- such as protein folding, allostery, and membrane transport -- are central to biology yet remain notoriously difficult to simulate. Their intrinsic rarity pushes them beyond reach of standard molecular dynamics,…

Although diffusion models have successfully extended to function-valued data, stochastic interpolants -- which offer a flexible way to bridge arbitrary distributions -- remain limited to finite-dimensional settings. This work bridges this…

Machine Learning · Statistics 2026-02-03 James Boran Yu , RuiKang OuYang , Julien Horwood , José Miguel Hernández-Lobato

Robust 3D perception under corruption has become an essential task for the realm of 3D vision. While current data augmentation techniques usually perform random transformations on all point cloud objects in an offline way and ignore the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Jie Wang , Lihe Ding , Tingfa Xu , Shaocong Dong , Xinli Xu , Long Bai , Jianan Li

Most geophysical inverse problems are nonlinear and rely upon numerical forward solvers involving discretization and simplified representations of the underlying physics. As a result, forward modeling errors are inevitable. In practice,…

Geophysics · Physics 2021-12-08 Shiran Levy , Jürg Hunziker , Eric Laloy , James Irving , Niklas Linde

The success of generative modeling in continuous domains has led to a surge of interest in generating discrete data such as molecules, source code, and graphs. However, construction histories for these discrete objects are typically not…

Machine Learning · Computer Science 2019-11-01 Ari Seff , Wenda Zhou , Farhan Damani , Abigail Doyle , Ryan P. Adams

Deep learning has emerged as a promising solution for efficient channel state information (CSI) feedback in frequency division duplex (FDD) massive MIMO systems. Conventional deep learning-based methods typically rely on a deep autoencoder…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Haotian Tian , Lixiang Lian , Jiaqi Cao , Sijie Ji

Score-based generative modeling, informally referred to as diffusion models, continue to grow in popularity across several important domains and tasks. While they provide high-quality and diverse samples from empirical distributions,…

Machine Learning · Statistics 2023-12-29 Jacopo Teneggi , Matthew Tivnan , J. Webster Stayman , Jeremias Sulam

The generation of discontinuous distributions is a difficult task for most known frameworks such as generative autoencoders and generative adversarial networks. Generative non-invertible models are unable to accurately generate such…

Machine Learning · Computer Science 2021-12-20 Mariia Drozdova , Vitaliy Kinakh , Guillaume Quétant , Tobias Golling , Slava Voloshynovskiy

Existing image inpainting methods often produce artifacts when dealing with large holes in real applications. To address this challenge, we propose an iterative inpainting method with a feedback mechanism. Specifically, we introduce a deep…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Yu Zeng , Zhe Lin , Jimei Yang , Jianming Zhang , Eli Shechtman , Huchuan Lu