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This paper investigates the optimal transport problem within the framework of Linear Quadratic optimal control systems. We establish the well-posedness of the Monge problem and analyze the regularity of the resulting optimal transport map,…

Optimization and Control · Mathematics 2026-05-25 Luca Rizzi , Alec Jacopo Almo Schiavoni Piazza

Optimal transport has numerous applications, particularly in machine learning tasks involving generative models. In practice, the transportation process often encounters an information bottleneck, typically arising from the conversion of a…

Information Theory · Computer Science 2024-12-30 Xiqiang Qu , Ruibin Li , Jun Chen , Lei Yu , Xinbing Wang

Autoencoding has achieved great empirical success as a framework for learning generative models for natural images. Autoencoders often use generic deep networks as the encoder or decoder, which are difficult to interpret, and the learned…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Xili Dai , Ke Chen , Shengbang Tong , Jingyuan Zhang , Xingjian Gao , Mingyang Li , Druv Pai , Yuexiang Zhai , XIaojun Yuan , Heung-Yeung Shum , Lionel M. Ni , Yi Ma

Autoencoders are powerful machine learning models used to compress information from multiple data sources. However, autoencoders, like all artificial neural networks, are often unidentifiable and uninterpretable. This research focuses on…

This work presents the first convolutional neural network that learns an image-to-graph translation task without needing external supervision. Obtaining graph representations of image content, where objects are represented as nodes and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Chenyang Lu , Gijs Dubbelman

This work aims to provide a deep-learning solution for the motion interpolation task. Previous studies solve it with geometric weight functions. Some other works propose neural networks for different problem settings with consecutive pose…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Shuo Huang , Jia Jia , Zongxin Yang , Wei Wang , Haozhe Wu , Yi Yang , Junliang Xing

Despite their abundance in robotics and nature, underactuated systems remain a challenge for control engineering. Trajectory optimization provides a generally applicable solution, however its efficiency strongly depends on the skill of the…

Robotics · Computer Science 2020-03-04 Christian Eilers , Jonas Eschmann , Robin Menzenbach , Boris Belousov , Fabio Muratore , Jan Peters

Deep learning has significantly advanced medical imaging analysis, yet variations in image resolution remain an overlooked challenge. Most methods address this by resampling images, leading to either information loss or computational…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Ashay Patel , Michela Antonelli , Sebastien Ourselin , M. Jorge Cardoso

Autoencoder reconstructions are widely used for the task of unsupervised anomaly localization. Indeed, an autoencoder trained on normal data is expected to only be able to reconstruct normal features of the data, allowing the segmentation…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 David Dehaene , Oriel Frigo , Sébastien Combrexelle , Pierre Eline

Photorealism is a complex concept that cannot easily be formulated mathematically. Deep Photo Style Transfer is an attempt to transfer the style of a reference image to a content image while preserving its photorealism. This is achieved by…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Sebastian Penhouët , Paul Sanzenbacher

A self-driving car must be able to reliably handle adverse weather conditions (e.g., snowy) to operate safely. In this paper, we investigate the idea of turning sensor inputs (i.e., images) captured in an adverse condition into a benign one…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Youya Xia , Josephine Monica , Wei-Lun Chao , Bharath Hariharan , Kilian Q Weinberger , Mark Campbell

One of the roadblocks to a better understanding of neural networks' internals is \textit{polysemanticity}, where neurons appear to activate in multiple, semantically distinct contexts. Polysemanticity prevents us from identifying concise,…

Machine Learning · Computer Science 2023-10-05 Hoagy Cunningham , Aidan Ewart , Logan Riggs , Robert Huben , Lee Sharkey

Many problems in machine learning involve calculating correspondences between sets of objects, such as point clouds or images. Discrete optimal transport provides a natural and successful approach to such tasks whenever the two sets of…

Machine Learning · Statistics 2019-02-28 David Alvarez-Melis , Stefanie Jegelka , Tommi S. Jaakkola

The Swapping Autoencoder achieved state-of-the-art performance in deep image manipulation and image-to-image translation. We improve this work by introducing a simple yet effective auxiliary module based on gradient reversal layers. The…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Shima Shahfar , Charalambos Poullis

We present a method called Manifold Interpolating Optimal-Transport Flow (MIOFlow) that learns stochastic, continuous population dynamics from static snapshot samples taken at sporadic timepoints. MIOFlow combines dynamic models, manifold…

Generating images from semantic visual knowledge is a challenging task, that can be useful to condition the synthesis process in complex, subtle, and unambiguous ways, compared to alternatives such as class labels or text descriptions.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-04 Renato Sortino , Simone Palazzo , Concetto Spampinato

We propose a new approach to the problem of optimizing autoencoders for lossy image compression. New media formats, changing hardware technology, as well as diverse requirements and content types create a need for compression algorithms…

Machine Learning · Statistics 2017-03-02 Lucas Theis , Wenzhe Shi , Andrew Cunningham , Ferenc Huszár

We propose a new and fully end-to-end approach for multimodal translation where the source text encoder modulates the entire visual input processing using conditional batch normalization, in order to compute the most informative image…

Computation and Language · Computer Science 2018-06-01 Jean-Benoit Delbrouck , Stéphane Dupont

We propose a novel learning-based formulation for visual localization of vehicles that can operate in real-time in city-scale environments. Visual localization algorithms determine the position and orientation from which an image has been…

Computer Vision and Pattern Recognition · Computer Science 2022-10-31 Arthur Moreau , Thomas Gilles , Nathan Piasco , Dzmitry Tsishkou , Bogdan Stanciulescu , Arnaud de La Fortelle

The field of advanced text-to-image generation is witnessing the emergence of unified frameworks that integrate powerful text encoders, such as CLIP and T5, with Diffusion Transformer backbones. Although there have been efforts to control…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Liang Chen , Shuai Bai , Wenhao Chai , Weichu Xie , Haozhe Zhao , Leon Vinci , Junyang Lin , Baobao Chang