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Diffuse Optical Tomography (DOT) is an emerging technology in medical imaging which employs light in the NIR spectrum to estimate the distribution of optical coefficients in biological tissues for diagnostic and monitoring purposes. DOT…

数值分析 · 数学 2022-05-27 Alessandro Benfenati , Giuseppe Bisazza , Paola Causin

Regularization approaches have demonstrated their effectiveness for solving ill-posed problems. However, in the context of variational restoration methods, a challenging question remains, which is how to find a good regularizer. While total…

最优化与控制 · 数学 2011-10-25 Nelly Pustelnik , Caroline Chaux , Jean-Christophe Pesquet

This paper presents a new convergent Plug-and-Play (PnP) algorithm. PnP methods are efficient iterative algorithms for solving image inverse problems formulated as the minimization of the sum of a data-fidelity term and a regularization…

机器学习 · 统计学 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Deep learning based reconstruction methods deliver outstanding results for solving inverse problems and are therefore becoming increasingly important. A recently invented class of learning-based reconstruction methods is the so-called NETT…

数值分析 · 数学 2021-11-16 Stephan Antholzer , Markus Haltmeier

We propose a novel method for real-time face alignment in videos based on a recurrent encoder-decoder network model. Our proposed model predicts 2D facial point heat maps regularized by both detection and regression loss, while uniquely…

计算机视觉与模式识别 · 计算机科学 2018-01-19 Xi Peng , Rogerio S. Feris , Xiaoyu Wang , Dimitris N. Metaxas

Recently the field of inverse problems has seen a growing usage of mathematically only partially understood learned and non-learned priors. Based on first principles, we develop a projectional approach to inverse problems that addresses the…

机器学习 · 计算机科学 2019-08-07 Sören Dittmer , Peter Maass

Phase retrieval is the numerical procedure of recovering a complex-valued signal from knowledge about its amplitude and some additional information. Here, an indirect registration procedure, based on the large deformation diffeomorphic…

图像与视频处理 · 电气工程与系统科学 2023-06-29 Erik Malm

Deep Neural Networks have achieved remarkable success relying on the developing high computation capability of GPUs and large-scale datasets with increasing network depth and width in image recognition, object detection and many other…

机器学习 · 计算机科学 2020-01-08 E Zhenqian , Gao Weiguo

Deep Neural Networks (DNNs) are ubiquitous in today's computer vision land-scape, despite involving considerable computational costs. The mainstream approaches for runtime acceleration consist in pruning connections (unstructured pruning)…

计算机视觉与模式识别 · 计算机科学 2021-06-01 Edouard Yvinec , Arnaud Dapogny , Matthieu Cord , Kevin Bailly

Dictionary learning aims to find a dictionary under which the training data can be sparsely represented, and it is usually achieved by iteratively applying two stages: sparse coding and dictionary update. Typical methods for dictionary…

信号处理 · 电气工程与系统科学 2021-10-26 Cheng Cheng , Wei Dai

We propose a novel unsupervised image segmentation algorithm, which aims to segment an image into several coherent parts. It requires no user input, no supervised learning phase and assumes an unknown number of segments. It achieves this by…

计算机视觉与模式识别 · 计算机科学 2016-03-09 Aleksandar Dimitriev , Matej Kristan

Image denoising methods must effectively model, implicitly or explicitly, the vast diversity of patterns and textures that occur in natural images. This is challenging, even for modern methods that leverage deep neural networks trained to…

计算机视觉与模式识别 · 计算机科学 2019-12-11 Zhihao Xia , Ayan Chakrabarti

Inverse problems are characterized by their inherent non-uniqueness and sensitivity with respect to data perturbations. Their stable solution requires the application of regularization methods including variational and iterative…

数值分析 · 数学 2023-10-17 Aviv Gibali , Markus Haltmeier

We introduce a new online convex optimization algorithm that adaptively chooses its regularization function based on the loss functions observed so far. This is in contrast to previous algorithms that use a fixed regularization function…

机器学习 · 计算机科学 2010-07-08 H. Brendan McMahan , Matthew Streeter

In this paper, we propose a state-of-the-art video denoising algorithm based on a convolutional neural network architecture. Previous neural network based approaches to video denoising have been unsuccessful as their performance cannot…

图像与视频处理 · 电气工程与系统科学 2020-04-29 Matias Tassano , Julie Delon , Thomas Veit

This paper presents a regularized recursive identification algorithm with simultaneous on-line estimation of both the model parameters and the algorithms hyperparameters. A new kernel is proposed to facilitate the algorithm development. The…

统计方法学 · 统计学 2024-05-14 Bernard Vau , Tudor-Bogdan Airimitoaie

Despite huge successes on a wide range of tasks, neural networks are known to sometimes struggle to generalise to unseen data. Many approaches have been proposed over the years to promote the generalisation ability of neural networks,…

机器学习 · 计算机科学 2026-02-02 Christiaan P. Opperman , Anna S. Bosman , Katherine M. Malan

The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data,…

数值分析 · 数学 2020-02-11 Toby Sanders , Rodrigo B. Platte , Robert D. Skeel

This paper investigates noise-robust phase retrieval by enhancing the prDeep architecture with difference of convex functions (DC) and DnCNN-based denoising regularization. This research introduces two novel algorithms, prDeep-DC and…

最优化与控制 · 数学 2025-11-24 Xueming Li , Bing Guo

We introduce and study a mathematical framework for a broad class of regularization functionals for ill-posed inverse problems: Regularization Graphs. Regularization graphs allow to construct functionals using as building blocks linear…

最优化与控制 · 数学 2022-09-28 Kristian Bredies , Marcello Carioni , Martin Holler