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Large-scale networked systems typically operate under resource constraints, and it is also difficult to exactly obtain the network structure between nodes. To address these issues, this paper investigates a sparse optimal control for…

Optimization and Control · Mathematics 2025-07-25 Takuya Ikeda , Masaaki Nagahara

We consider the problem of detecting the locations of targets in the far field by sending probing signals from an antenna array and recording the reflected echoes. Drawing on key concepts from the area of compressive sensing, we use an…

Information Theory · Computer Science 2013-04-25 Max Hügel , Holger Rauhut , Thomas Strohmer

Although resource-limited networked autonomous systems must be able to efficiently and effectively accomplish tasks, better conservation of resources often results in worse task performance. We specifically address the problem of finding…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Anne Theurkauf , Nisar Ahmed , Morteza Lahijanian

Sparse neural networks are highly desirable in deep learning in reducing its complexity. The goal of this paper is to study how choices of regularization parameters influence the sparsity level of learned neural networks. We first derive…

Machine Learning · Computer Science 2024-08-07 Lixin Shen , Rui Wang , Yuesheng Xu , Mingsong Yan

The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to the vast amount of parameters that characterize model…

Machine Learning · Computer Science 2026-02-25 Enrico Ballini , Luca Muscarnera , Alessio Fumagalli , Anna Scotti , Francesco Regazzoni

Direct alignment algorithms have proven an effective step for aligning language models to human-desired behaviors. Current variants of the Direct Preference Optimization objective have focused on a strict setting where all tokens are…

Computation and Language · Computer Science 2025-11-03 Fenia Christopoulou , Ronald Cardenas , Gerasimos Lampouras , Haitham Bou-Ammar , Jun Wang

We present a data-driven algorithm for efficiently computing stochastic control policies for general joint chance constrained optimal control problems. Our approach leverages the theory of kernel distribution embeddings, which allows…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Adam J. Thorpe , Thomas Lew , Meeko M. K. Oishi , Marco Pavone

Networked Control Systems typically come with a limited communication bandwidth and thus require special care when designing the underlying control and triggering law. A method that allows to consider hard constraints on the communication…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Stefan Wildhagen , Matthias Pezzutto , Luca Schenato , Frank Allgöwer

In this paper we investigate infinite horizon optimal control problems for parametrized partial differential equations. We are interested in feedback control via dynamic programming equations which is well-known to suffer from the curse of…

Optimization and Control · Mathematics 2018-10-02 Alessandro Alla , Bernard Haasdonk , Andreas Schmidt

We present ELSA, a practical solution for creating deep networks that can easily be deployed at different levels of sparsity. The core idea is to embed one or more sparse networks within a single dense network as a proper subset of the…

Machine Learning · Computer Science 2023-12-19 Paniz Halvachi , Alexandra Peste , Dan Alistarh , Christoph H. Lampert

This article considers constrained $\ell_1$ minimization methods for the recovery of high dimensional sparse signals in three settings: noiseless, bounded error and Gaussian noise. A unified and elementary treatment is given in these noise…

Machine Learning · Computer Science 2008-05-05 T. Tony Cai , Guangwu Xu , Jun Zhang

This work presents a new method for enhancing communication efficiency in stochastic Federated Learning that trains over-parameterized random networks. In this setting, a binary mask is optimized instead of the model weights, which are kept…

Machine Learning · Computer Science 2024-03-01 Mohamad Mestoukirdi , Omid Esrafilian , David Gesbert , Qianrui Li , Nicolas Gresset

Feedback mechanism based algorithms are frequently used to solve network optimization problems. These schemes involve users and network exchanging information (e.g. requests for bandwidth allocation and pricing) to achieve convergence…

Networking and Internet Architecture · Computer Science 2016-04-12 Hengky Susanto , ByungGuk Kim

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

The growing electricity demand of AI data centers introduces significant voltage variability in power networks, affecting not only their own operation but also the experience of all users sharing the network. To smooth data center impacts…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Yanyong Mao , Johanna L. Mathieu , Vladimir Dvorkin

We address the problem of recovering a sparse signal observed by a resource constrained wireless sensor network under channel fading. Sparse random matrices are exploited to reduce the communication cost in forwarding information to a…

Information Theory · Computer Science 2015-04-16 Thakshila Wimalajeewa , Pramod K. Varshney

One of the main issues in the design of sensor networks is energy efficient communication of time-critical data. Energy wastage can be caused by failed packet transmission attempts at each node due to channel dynamics and interference.…

Networking and Internet Architecture · Computer Science 2011-05-24 Rahul Srivastava , Can Emre Koksal

The rapid development of large-scale deep learning models questions the affordability of hardware platforms, which necessitates the pruning to reduce their computational and memory footprints. Sparse neural networks as the product, have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Can Jin , Tianjin Huang , Yihua Zhang , Mykola Pechenizkiy , Sijia Liu , Shiwei Liu , Tianlong Chen

In Compressed Sensing and high dimensional estimation, signal recovery often relies on sparsity assumptions and estimation is performed via $\ell_1$-penalized least-squares optimization, a.k.a. LASSO. The $\ell_1$ penalisation is usually…

Computation · Statistics 2018-05-07 Stephane Chretien , Alex Gibberd , Sandipan Roy

Typically when designing distributed controllers it is assumed that the state-space model of the plant consists of sparse matrices. However, in the discrete-time setting, if one begins with a continuous-time model, the discretization…

Optimization and Control · Mathematics 2019-03-28 James Anderson , Nikolai Matni , Yuxiao Chen
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