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The idea of unfolding iterative algorithms as deep neural networks has been widely applied in solving sparse coding problems, providing both solid theoretical analysis in convergence rate and superior empirical performance. However, for…

Machine Learning · Computer Science 2020-10-27 Yuhai Song , Zhong Cao , Kailun Wu , Ziang Yan , Changshui Zhang

It is well-established that many iterative sparse reconstruction algorithms can be unrolled to yield a learnable neural network for improved empirical performance. A prime example is learned ISTA (LISTA) where weights, step sizes and…

Machine Learning · Computer Science 2020-10-06 Freya Behrens , Jonathan Sauder , Peter Jung

Compressed sensing combines the power of convex optimization techniques with a sparsity-inducing prior on the signal space to solve an underdetermined system of equations. For many problems, the sparsifying dictionary is not directly given,…

Machine Learning · Computer Science 2024-07-10 Fabio Valerio Massoli , Christos Louizos , Arash Behboodi

Recently, the study on learned iterative shrinkage thresholding algorithm (LISTA) has attracted increasing attentions. A large number of experiments as well as some theories have proved the high efficiency of LISTA for solving sparse coding…

Machine Learning · Computer Science 2021-06-24 Lin Kong , Wei Sun , Fanhua Shang , Yuanyuan Liu , Hongying Liu

Learned Iterative Shrinkage-Thresholding Algorithm (LISTA) introduces the concept of unrolling an iterative algorithm and training it like a neural network. It has had great success on sparse recovery. In this paper, we show that adding…

Machine Learning · Computer Science 2021-11-01 Xiaohan Chen , Jialin Liu , Zhangyang Wang , Wotao Yin

Motivated by the learned iterative soft thresholding algorithm (LISTA), we introduce a general class of neural networks suitable for sparse reconstruction from few linear measurements. By allowing a wide range of degrees of weight-sharing…

Machine Learning · Computer Science 2022-01-19 Ekkehard Schnoor , Arash Behboodi , Holger Rauhut

The adaptive Iterative Soft-Thresholding Algorithm (ISTA) has been a popular algorithm for finding a desirable solution to the LASSO problem without explicitly tuning the regularization parameter $\lambda$. Despite that the adaptive ISTA is…

Machine Learning · Statistics 2025-07-04 Yining Feng , Ivan Selesnick

Solving linear inverse problems plays a crucial role in numerous applications. Algorithm unfolding based, model-aware data-driven approaches have gained significant attention for effectively addressing these problems. Learned iterative…

Drawing on theoretical insights, we advocate an error-based thresholding (EBT) mechanism for learned ISTA (LISTA), which utilizes a function of the layer-wise reconstruction error to suggest a specific threshold for each observation in the…

Machine Learning · Computer Science 2023-12-20 Ziang Li , Kailun Wu , Yiwen Guo , Changshui Zhang

Driven by the continuous development of models such as Multi-Layer Perceptron, Convolutional Neural Network (CNN), and Transformer, deep learning has made breakthrough progress in fields such as computer vision and natural language…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Shuang Liu , Lina Zhao , Tian Wang , Huaqing Wang

Deep neural networks based on unrolled iterative algorithms have achieved remarkable success in sparse reconstruction applications, such as synthetic aperture radar (SAR) tomographic inversion (TomoSAR). However, the currently available…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Kun Qian , Yuanyuan Wang , Peter Jung , Yilei Shi , Xiao Xiang Zhu

Tomographic SAR technique has attracted remarkable interest for its ability of three-dimensional resolving along the elevation direction via a stack of SAR images collected from different cross-track angles. The emerged compressed sensing…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Muhan Wang , Zhe Zhang , Xiaolan Qiu , Silin Gao , Yue Wang

Continual learning with vision-language models like CLIP offers a pathway toward scalable machine learning systems by leveraging its transferable representations. Existing CLIP-based methods adapt the pre-trained image encoder by adding…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Mao-Lin Luo , Zi-Hao Zhou , Tong Wei , Min-Ling Zhang

There is an increasing number of pre-trained deep neural network models. However, it is still unclear how to effectively use these models for a new task. Transfer learning, which aims to transfer knowledge from source tasks to a target…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Yunhui Guo , Yandong Li , Liqiang Wang , Tajana Rosing

Finding the sparset solution of an underdetermined system of linear equations $y=Ax$ has attracted considerable attention in recent years. Among a large number of algorithms, iterative thresholding algorithms are recognized as one of the…

Information Theory · Computer Science 2013-10-16 Jinshan Zeng , Shaobo Lin , Zongben Xu

We present new algorithms for adaptively learning artificial neural networks. Our algorithms (AdaNet) adaptively learn both the structure of the network and its weights. They are based on a solid theoretical analysis, including…

Machine Learning · Computer Science 2017-03-01 Corinna Cortes , Xavi Gonzalvo , Vitaly Kuznetsov , Mehryar Mohri , Scott Yang

Classifiers based on sparse representations have recently been shown to provide excellent results in many visual recognition and classification tasks. However, the high cost of computing sparse representations at test time is a major…

Computer Vision and Pattern Recognition · Computer Science 2014-10-03 Alhussein Fawzi , Mike Davies , Pascal Frossard

We propose a computationally-friendly adaptive learning rate schedule, "AdaLoss", which directly uses the information of the loss function to adjust the stepsize in gradient descent methods. We prove that this schedule enjoys linear…

Machine Learning · Statistics 2021-09-20 Xiaoxia Wu , Yuege Xie , Simon Du , Rachel Ward

In many real-world scenarios, data to train machine learning models become available over time. However, neural network models struggle to continually learn new concepts without forgetting what has been learnt in the past. This phenomenon…

Machine Learning · Computer Science 2022-06-29 Beyza Ermis , Giovanni Zappella , Martin Wistuba , Aditya Rawal , Cedric Archambeau

In this paper, we consider the recovery of the high-dimensional block-sparse signal from a compressed set of measurements, where the non-zero coefficients of the recovered signal occur in a small number of blocks. Adopting the idea of deep…

Signal Processing · Electrical Eng. & Systems 2021-11-19 Rong Fu , Vincent Monardo , Tianyao Huang , Yimin Liu
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