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Deep unfolded neural networks are designed by unrolling the iterations of optimization algorithms. They can be shown to achieve faster convergence and higher accuracy than their optimization counterparts. This paper proposes a new…

机器学习 · 计算机科学 2020-10-05 Huynh Van Luong , Boris Joukovsky , Yonina C. Eldar , Nikos Deligiannis

The use of deep unfolding networks in compressive sensing (CS) has seen wide success as they provide both simplicity and interpretability. However, since most deep unfolding networks are iterative, this incurs significant redundancies in…

计算机视觉与模式识别 · 计算机科学 2023-05-10 Rawwad Alhejaili , Motaz Alfarraj , Hamzah Luqman , Ali Al-Shaikhi

The non-uniform photoelectric response of infrared imaging systems results in fixed-pattern stripe noise being superimposed on infrared images, which severely reduces image quality. As the applications of degraded infrared images are…

图像与视频处理 · 电气工程与系统科学 2022-09-30 Zeshan Fayyaz , Daniel Platnick , Hannan Fayyaz , Nariman Farsad

Neural networks allow solving many ill-posed inverse problems with unprecedented performance. Physics informed approaches already progressively replace carefully hand-crafted reconstruction algorithms in real applications. However, these…

机器学习 · 计算机科学 2023-12-19 Alban Gossard , Pierre Weiss

Solving inverse problems with neural networks benefits from very few theoretical guarantees when it comes to the recovery guarantees. We provide in this work convergence and recovery guarantees for self-supervised neural networks applied to…

机器学习 · 计算机科学 2025-06-04 Nathan Buskulic , Jalal Fadil , Yvain Quéau

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

This paper proposes a novel method for learning highly nonlinear, multivariate functions from examples. Our method takes advantage of the property that continuous functions can be approximated by polynomials, which in turn are representable…

机器学习 · 计算机科学 2020-05-05 Sandor Szedmak , Anna Cichonska , Heli Julkunen , Tapio Pahikkala , Juho Rousu

Channel estimation in wideband millimeter-wave (mmWave) systems is very challenging due to the beam squint effect. To solve the problem, we propose a learnable iterative shrinkage thresholding algorithm-based channel estimator (LISTA-CE)…

信号处理 · 电气工程与系统科学 2021-09-21 Weijie Jin , Hengtao He , Chao-Kai Wen , Shi Jin , Geoffrey Ye Li

Dataset distillation, a training-aware data compression technique, has recently attracted increasing attention as an effective tool for mitigating costs of optimization and data storage. However, progress remains largely empirical.…

机器学习 · 计算机科学 2026-03-31 Yuri Kinoshita , Naoki Nishikawa , Taro Toyoizumi

In this paper, we propose a generalized expectation consistent signal recovery algorithm to estimate the signal $\mathbf{x}$ from the nonlinear measurements of a linear transform output $\mathbf{z}=\mathbf{A}\mathbf{x}$. This estimation…

信息论 · 计算机科学 2017-05-15 Hengtao He , Chao-Kai Wen , Shi Jin

Deep models often suffer significant performance degradation under distribution shifts. Domain generalization (DG) seeks to mitigate this challenge by enabling models to generalize to unseen domains. Most prior approaches rely on…

计算机视觉与模式识别 · 计算机科学 2025-10-14 Zhicheng Lin , Xiaolin Wu , Xi Zhang

Deep learning has been proven to yield reliably generalizable answers to numerous classification and decision tasks. Here, we demonstrate for the first time, to our knowledge, that deep neural networks (DNNs) can be trained to solve inverse…

计算机视觉与模式识别 · 计算机科学 2017-06-27 Ayan Sinha , Justin Lee , Shuai Li , George Barbastathis

Deep neural networks provide excellent performance for inverse problems such as denoising. However, neural networks can be sensitive to adversarial or worst-case perturbations. This raises the question of whether such networks can be…

机器学习 · 计算机科学 2023-07-25 Anselm Krainovic , Mahdi Soltanolkotabi , Reinhard Heckel

The Euclidean Steiner tree problem seeks the min-cost network to connect a collection of target locations, and it underlies many applications of wireless networks. In this paper, we present a study on solving the Euclidean Steiner tree…

机器学习 · 计算机科学 2022-09-22 Siqi Wang , Yifan Wang , Guangmo Tong

We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer…

数值分析 · 数学 2015-06-05 Kazufumi Ito , Bangti Jin , Jun Zou

Inverse scattering problems, such as those in electromagnetic imaging using phaseless data (PD-ISPs), involve imaging objects using phaseless measurements of wave scattering. Such inverse problems can be highly non-linear and ill-posed…

信号处理 · 电气工程与系统科学 2022-12-07 Samruddhi Deshmukh , Amartansh Dubey , Ross Murch

We study an inverse problem for a coupled system of semilinear Helmholtz equations where we are interested in reconstructing multiple coefficients in the system from internal data measured in applications such as thermoacoustic imaging. We…

偏微分方程分析 · 数学 2023-07-06 Kui Ren , Nathan Soedjak

Finite Rate of Innovation (FRI) sampling theory enables reconstruction of classes of continuous non-bandlimited signals that have a small number of free parameters from their low-rate discrete samples. This task is often translated into a…

信号处理 · 电气工程与系统科学 2023-07-21 Vincent C. H. Leung , Jun-Jie Huang , Yonina C. Eldar , Pier Luigi Dragotti

This paper proposes a novel learning to learn method, called learning to learn iterative search algorithm (LISA), for signal detection in a multi-input multi-output (MIMO) system. The idea is to regard the signal detection problem as a…

信息论 · 计算机科学 2020-07-23 Jianyong Sun , Yiqing Zhang , Jiang Xue , Zongben Xu

In this paper, we propose a novel recurrent neural network architecture for speech separation. This architecture is constructed by unfolding the iterations of a sequential iterative soft-thresholding algorithm (ISTA) that solves the…

声音 · 计算机科学 2017-09-22 Scott Wisdom , Thomas Powers , James Pitton , Les Atlas