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Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

Information Theory · Computer Science 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

We propose a hierarchical learning strategy aimed at generating sparse representations and associated models for large noisy datasets. The hierarchy follows from approximation spaces identified at successively finer scales. For promoting…

Machine Learning · Computer Science 2020-06-11 Prashant Shekhar , Abani Patra

With the rapid advancement of real-time deepfake generation techniques, forged content is becoming increasingly realistic and widespread across applications like video conferencing and social media. Although state-of-the-art detectors…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Libo Lv , Tianyi Wang , Mengxiao Huang , Ruixia Liu , Yinglong Wang

Complex-valued processing has brought deep learning-based speech enhancement and signal extraction to a new level. Typically, the process is based on a time-frequency (TF) mask which is applied to a noisy spectrogram, while complex masks…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-02 Hendrik Schröter , Alberto N. Escalante-B. , Tobias Rosenkranz , Andreas Maier

Deep sparse networks are widely investigated as a neural network architecture for prediction tasks with high-dimensional sparse features, with which feature interaction selection is a critical component. While previous methods primarily…

Machine Learning · Computer Science 2023-10-31 Fuyuan Lyu , Xing Tang , Dugang Liu , Chen Ma , Weihong Luo , Liang Chen , Xiuqiang He , Xue Liu

We develop an approach to growing deep network architectures over the course of training, driven by a principled combination of accuracy and sparsity objectives. Unlike existing pruning or architecture search techniques that operate on…

Machine Learning · Computer Science 2023-06-07 Xin Yuan , Pedro Savarese , Michael Maire

We present an approach for improving spatial frequency sampling in active incoherent millimeter-wave (AIM) imaging systems using frequency diversity. AIM imaging relies on active transmission of spatio-temporally incoherent signals to…

Signal Processing · Electrical Eng. & Systems 2025-03-12 Jorge R. Colon-Berrios , Jeffrey A. Nanzer

Existing approaches to Implicit Neural Representation (INR) can be interpreted as a global scene representation via a linear combination of Fourier bases of different frequencies. However, such universal basis functions can limit the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Jason Chun Lok Li , Chang Liu , Binxiao Huang , Ngai Wong

The proliferation of Internet of Things (IoT) has increased interest in federated learning (FL) for privacy-preserving distributed data utilization. However, traditional two-tier FL architectures inadequately adapt to multi-tier IoT…

Machine Learning · Computer Science 2024-12-30 Jiechao Gao , Yuangang Li , Yue Zhao , Brad Campbell

Spectral bias implies an imbalance in training dynamics, whereby high-frequency components may converge substantially more slowly than low-frequency ones. To alleviate this issue, we propose a cross-attention-based architecture that…

Numerical Analysis · Mathematics 2025-12-23 Xiaodong Feng , Tao Tang , Xiaoliang Wan , Tao Zhou

Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typically lies in lower-dimensional structures. These lower dimensional objects provide useful insight, with interpretability favored by sparse…

Methodology · Statistics 2022-12-14 Lorenzo Schiavon , Bernardo Nipoti , Antonio Canale

Units of complex systems -- such as neurons in the brain or individuals in societies -- must communicate efficiently to function properly: e.g., allowing electrochemical signals to travel quickly among functionally connected neuronal areas…

Physics and Society · Physics 2020-03-17 Arsham Ghavasieh , Manlio De Domenico

The ability to detect weak distributed activation patterns in networks is critical to several applications, such as identifying the onset of anomalous activity or incipient congestion in the Internet, or faint traces of a biochemical spread…

Information Theory · Computer Science 2010-03-02 Aarti Singh , Robert D. Nowak , Robert Calderbank

Modern communication systems rely on accurate channel estimation to achieve efficient and reliable transmission of information. As the communication channel response is highly related to the user's location, one can use a neural network to…

Artificial Intelligence · Computer Science 2023-08-29 Baptiste Chatelier , Luc Le Magoarou , Vincent Corlay , Matthieu Crussière

Calculation of near-neighbor interactions among high dimensional, irregularly distributed data points is a fundamental task to many graph-based or kernel-based machine learning algorithms and applications. Such calculations, involving…

In this paper, we discuss the development of a sublinear sparse Fourier algorithm for high-dimensional data. In ``Adaptive Sublinear Time Fourier Algorithm" by D. Lawlor, Y. Wang and A. Christlieb (2013), an efficient algorithm with…

Numerical Analysis · Mathematics 2019-07-02 Bosu Choi , Andrew Christlieb , Yang Wang

We propose a dynamical neural network model with a hierarchical and modular structure. The network architecture can be derived by minimizing an energy function that is originally designed based on two kinds of neurons with quite different…

Neurons and Cognition · Quantitative Biology 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

We present a novel direction-aware feature-level frequency decomposition network for single image deraining. Compared with existing solutions, the proposed network has three compelling characteristics. First, unlike previous algorithms, we…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Sen Deng , Yidan Feng , Mingqiang Wei , Haoran Xie , Yiping Chen , Jonathan Li , Xiao-Ping Zhang , Jing Qin

Sparse connectivity is an important factor behind the success of convolutional neural networks and recurrent neural networks. In this paper, we consider the problem of learning sparse connectivity for feedforward neural networks (FNNs). The…

Machine Learning · Computer Science 2018-07-18 Xiaopeng Li , Zhourong Chen , Nevin L. Zhang

This paper proposes a novel three tier architecture for federated learning to optimize edge computing environments. The proposed architecture addresses the challenges associated with client data heterogeneity and computational constraints.…

Machine Learning · Computer Science 2025-01-09 Satwat Bashir , Tasos Dagiuklas , Kasra Kassai , Muddesar Iqbal