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In the past decade, sparsity-driven regularization has led to advancement of image reconstruction algorithms. Traditionally, such regularizers rely on analytical models of sparsity (e.g. total variation (TV)). However, more recent methods…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Emrah Bostan , Ulugbek S. Kamilov , Laura Waller

Purpose: This work aims at developing a generalizable MRI reconstruction model in the meta-learning framework. The standard benchmarks in meta-learning are challenged by learning on diverse task distributions. The proposed network learns…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Wanyu Bian , Yunmei Chen , Xiaojing Ye , Qingchao Zhang

Image segmentation with a volume constraint is an important prior for many real applications. In this work, we present a novel volume preserving image segmentation algorithm, which is based on the framework of entropic regularized optimal…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Haifeng Li , Jun Liu , Li Cui , Haiyang Huang , Xue-cheng Tai

Based on previous work we extend a primal-dual semi-smooth Newton method for minimizing a general $L^1$-$L^2$-$TV$ functional over the space of functions of bounded variations by adaptivity in a finite element setting. For automatically…

Numerical Analysis · Mathematics 2025-02-19 Martin Alkämper , Stephan Hilb , Andreas Langer

In this work, we introduce pixel wise tensor normalization, which is inserted after rectifier linear units and, together with batch normalization, provides a significant improvement in the accuracy of modern deep neural networks. In…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Wolfgang Fuhl

We propose a novel formulation for the second-order total generalized variation (TGV) of the normal vector on an oriented, triangular mesh embedded in $\R^3$. The normal vector is considered as a manifold-valued function, taking values on…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Lukas Baumgärtner , Ronny Bergmann , Roland Herzog , Stephan Schmidt , Manuel Weiß

The aim of this paper is to test and analyze a novel technique for image reconstruction in positron emission tomography, which is based on (total variation) regularization on both the image space and the projection space. We formulate our…

Numerical Analysis · Mathematics 2014-07-24 Martin Burger , Jahn Müller , Evangelos Papoutsellis , Carola-Bibiane Schönlieb

Understanding the mechanisms underlying deep neural networks remains a fundamental challenge in machine learning and computer vision. One promising, yet only preliminarily explored approach, is feature inversion, which attempts to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Jan Rathjens , Shirin Reyhanian , David Kappel , Laurenz Wiskott

The concept of sparsity has been extensively applied for regularization in image reconstruction. Typically, sparsifying transforms are either pre-trained on ground-truth images or adaptively trained during the reconstruction. Thereby,…

Image and Video Processing · Electrical Eng. & Systems 2022-03-07 Andreas Kofler , Christian Wald , Tobias Schaeffter , Markus Haltmeier , Christoph Kolbitsch

This article addresses the challenge of learning effective regularizers for linear inverse problems. We analyze and compare several types of learned variational regularization against the theoretical benchmark of the optimal affine…

Numerical Analysis · Mathematics 2025-10-15 Sebastian Banert , Christoph Brauer , Dirk Lorenz , Lionel Tondji

We develop a novel transfer learning framework to tackle the challenge of limited training data in image reconstruction problems. The proposed framework consists of two training steps, both of which are formed as bi-level optimizations. In…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yunmei Chen , Chi Ding , Xiaojing Ye

In this paper, we introduce the Hessian-Schatten total variation (HTV) -- a novel seminorm that quantifies the total "rugosity" of multivariate functions. Our motivation for defining HTV is to assess the complexity of supervised-learning…

Machine Learning · Computer Science 2022-02-01 Shayan Aziznejad , Joaquim Campos , Michael Unser

The most recent year has witnessed the success of applying the Vision Transformer (ViT) for image classification. However, there are still evidences indicating that ViT often suffers following two aspects, i) the high computation and the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Xian Wei , Bin Wang , Mingsong Chen , Ji Yuan , Hai Lan , Jiehuang Shi , Xuan Tang , Bo Jin , Guozhang Chen , Dongping Yang

In this paper, we obtain the functional derivatives of a finite horizon error norm between a full-order and a reduced-order continuous-time linear time-varying (LTV) system. Based on the functional derivatives, first-order necessary…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Kasturi Das , Srinivasan Krishnaswamy , Somanath Majhi

Vision-based robotics often separates the control loop into one module for perception and a separate module for control. It is possible to train the whole system end-to-end (e.g. with deep RL), but doing it "from scratch" comes with a high…

Robotics · Computer Science 2020-11-16 Bryan Chen , Alexander Sax , Gene Lewis , Iro Armeni , Silvio Savarese , Amir Zamir , Jitendra Malik , Lerrel Pinto

Algorithms for automatically selecting a scalar or locally varying regularization parameter for total variation models with an $L^{\tau}$-data fidelity term, $\tau\in \{1,2\}$, are presented. The automated selection of the regularization…

Numerical Analysis · Mathematics 2017-01-02 Andreas Langer

Computer vision research has long aimed to build systems that are robust to spatial transformations found in natural data. Traditionally, this is done using data augmentation or hard-coding invariances into the architecture. However, too…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Utkarsh Singhal , Carlos Esteves , Ameesh Makadia , Stella X. Yu

Vision Transformers (ViT) have recently demonstrated the significant potential of transformer architectures for computer vision. To what extent can image-based deep reinforcement learning also benefit from ViT architectures, as compared to…

Machine Learning · Computer Science 2022-05-17 Tianxin Tao , Daniele Reda , Michiel van de Panne

The success of deep neural networks is mostly due their ability to learn meaningful features from the data. Features learned in the hidden layers of deep neural networks trained in computer vision tasks have been shown to be similar to…

Machine Learning · Computer Science 2017-01-04 Biswajit Paria , Vikas Reddy , Anirban Santara , Pabitra Mitra

Fine-grained classification is a challenging task that involves identifying subtle differences between objects within the same category. This task is particularly challenging in scenarios where data is scarce. Visual transformers (ViT) have…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Manuel Lagunas , Brayan Impata , Victor Martinez , Virginia Fernandez , Christos Georgakis , Sofia Braun , Felipe Bertrand