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We consider a commonly studied supervised classification of a synthetic dataset whose labels are generated by feeding a one-layer neural network with random iid inputs. We study the generalization performances of standard classifiers in the…

Machine Learning · Statistics 2021-02-18 Benjamin Aubin , Florent Krzakala , Yue M. Lu , Lenka Zdeborová

The inverse conductivity problem aims at determining the unknown conductivity inside a bounded domain from boundary measurements. In practical applications, algorithms based on minimizing a regularized residual functional subject to PDE…

Numerical Analysis · Mathematics 2025-10-02 Lefu Cai , Zhixin Liu , Minghui Song , Xianchao Wang

We describe and examine an algorithm for tomographic image reconstruction where prior knowledge about the solution is available in the form of training images. We first construct a nonnegative dictionary based on prototype elements from the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-18 Sara Soltani , Martin S. Andersen , Per Christian Hansen

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

Normalization techniques play an important role in supporting efficient and often more effective training of deep neural networks. While conventional methods explicitly normalize the activations, we suggest to add a loss term instead. This…

Machine Learning · Computer Science 2018-11-22 Etai Littwin , Lior Wolf

A novel algorithm for uncalibrated stereo image-pair rectification under the constraint of geometric distortion, called USR-CGD, is presented in this work. Although it is straightforward to define a rectifying transformation (or homography)…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Hyunsuk Ko , Han Suk Shim , Ouk Choi , C. -C. Jay Kuo

The standard approach for neural topic modeling uses a variational autoencoder (VAE) framework that jointly minimizes the KL divergence between the estimated posterior and prior, in addition to the reconstruction loss. Since neural topic…

Computation and Language · Computer Science 2023-05-29 Raymond Li , Felipe González-Pizarro , Linzi Xing , Gabriel Murray , Giuseppe Carenini

We propose AutoCorrect, a method to automatically learn object-annotation alignments from a dataset with annotations affected by geometric noise. The method is based on a consistency loss that enables deep neural networks to be trained,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-15 Honglie Chen , Weidi Xie , Andrea Vedaldi , Andrew Zisserman

Generalization to novel visual conditions remains a central challenge for both human and machine vision, yet standard robustness metrics offer limited insight into how systems trade accuracy for robustness. We introduce a…

Machine Learning · Computer Science 2026-03-03 Leyla Roksan Caglar , Pedro A. M. Mediano , Baihan Lin

Rotation augmentations generally improve a model's invariance/equivariance to rotation - except in object detection. In object detection the shape is not known, therefore rotation creates a label ambiguity. We show that the de-facto method…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Agastya Kalra , Guy Stoppi , Bradley Brown , Rishav Agarwal , Achuta Kadambi

Autoencoders provide a powerful framework for learning compressed representations by encoding all of the information needed to reconstruct a data point in a latent code. In some cases, autoencoders can "interpolate": By decoding the convex…

Machine Learning · Computer Science 2018-07-25 David Berthelot , Colin Raffel , Aurko Roy , Ian Goodfellow

Autoencoders are popular among neural-network-based matrix completion models due to their ability to retrieve potential latent factors from the partially observed matrices. Nevertheless, when training data is scarce their performance is…

Machine Learning · Computer Science 2018-07-06 Duc Minh Nguyen , Evaggelia Tsiligianni , Robert Calderbank , Nikos Deligiannis

In this paper, we explore how conventional image enhancement can improve model robustness in medical image analysis. By applying commonly used normalization methods to images from various vendors and studying their influence on model…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Yucheng Lu , Shunxin Wang , Dovile Juodelyte , Veronika Cheplygina

Given a single image of a target object, image-to-3D generation aims to reconstruct its texture and geometric shape. Recent methods often utilize intermediate media, such as multi-view images or videos, to bridge the gap between input image…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Jiacheng Wang , Zhedong Zheng , Wei Xu , Ping Liu

Symmetry transformations induce invariances which are frequently described with deep latent variable models. In many complex domains, such as the chemical space, invariances can be observed, yet the corresponding symmetry transformation…

Machine Learning · Computer Science 2020-10-23 Mario Wieser , Sonali Parbhoo , Aleksander Wieczorek , Volker Roth

Variational Autoencoder (VAE) is a powerful method for learning representations of high-dimensional data. However, VAEs can suffer from an issue known as latent variable collapse (or KL loss vanishing), where the posterior collapses to the…

Computation and Language · Computer Science 2019-11-14 Ruizhe Li , Xiao Li , Chenghua Lin , Matthew Collinson , Rui Mao

Magnetic Resonance Imaging (MRI) is a widely used imaging technique, however it has the limitation of long scanning time. Though previous model-based and learning-based MRI reconstruction methods have shown promising performance, most of…

Image and Video Processing · Electrical Eng. & Systems 2024-05-10 Yue Cai , Yu Luo , Jie Ling , Shun Yao

We propose an unsupervised approach for learning end-to-end reconstruction operators for ill-posed inverse problems. The proposed method combines the classical variational framework with iterative unrolling, which essentially seeks to…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Subhadip Mukherjee , Marcello Carioni , Ozan Öktem , Carola-Bibiane Schönlieb

In this article, we propose a novel regularization method for a class of nonlinear inverse problems that is inspired by an application in quantitative magnetic resonance imaging (qMRI). The latter is a special instance of a general…

Optimization and Control · Mathematics 2025-06-16 Guozhi Dong , Michael Hintermüller , Clemens Sirotenko

We consider the problem of a generic stabilizer Hamiltonian under local, incoherent Pauli errors. Using two different approaches -- (i) Haah's polynomial formalism arXiv:1204.1063 and (ii) the homological perspective on CSS codes -- we…

Quantum Physics · Physics 2024-03-07 Anasuya Lyons
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