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Optimization methods play a central role in signal processing, serving as the mathematical foundation for inference, estimation, and control. While classical iterative optimization algorithms provide interpretability and theoretical…

Machine Learning · Computer Science 2026-04-01 Nir Shlezinger , Santiago Segarra , Yi Zhang , Dvir Avrahami , Zohar Davidov , Tirza Routtenberg , Yonina C. Eldar

This paper surveys the machine learning literature and presents in an optimization framework several commonly used machine learning approaches. Particularly, mathematical optimization models are presented for regression, classification,…

Optimization and Control · Mathematics 2021-01-12 Claudio Gambella , Bissan Ghaddar , Joe Naoum-Sawaya

Large-scale, high-quality data are considered an essential factor for the successful application of many deep learning techniques. Meanwhile, numerous real-world deep learning tasks still have to contend with the lack of sufficient amounts…

Machine Learning · Computer Science 2023-10-26 Ou Wu , Rujing Yao

This paper demonstrates many immediate connections between adaptive control and optimization methods commonly employed in machine learning. Starting from common output error formulations, similarities in update law modifications are…

Optimization and Control · Mathematics 2020-04-17 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender , Eugene Lavretsky

We propose a novel framework for comprehending the reasoning capabilities of large language models (LLMs) through the perspective of meta-learning. By conceptualizing reasoning trajectories as pseudo-gradient descent updates to the LLM's…

Computation and Language · Computer Science 2025-05-27 Junnan Liu , Hongwei Liu , Linchen Xiao , Shudong Liu , Taolin Zhang , Zihan Ma , Songyang Zhang , Kai Chen

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

Normalization techniques are essential for accelerating the training and improving the generalization of deep neural networks (DNNs), and have successfully been used in various applications. This paper reviews and comments on the past,…

Machine Learning · Computer Science 2020-09-29 Lei Huang , Jie Qin , Yi Zhou , Fan Zhu , Li Liu , Ling Shao

Trajectory optimization using a learned model of the environment is one of the core elements of model-based reinforcement learning. This procedure often suffers from exploiting inaccuracies of the learned model. We propose to regularize…

Machine Learning · Computer Science 2019-12-30 Rinu Boney , Norman Di Palo , Mathias Berglund , Alexander Ilin , Juho Kannala , Antti Rasmus , Harri Valpola

Traditional wireless network design relies on optimization algorithms derived from domain-specific mathematical models, which are often inefficient and unsuitable for dynamic, real-time applications due to high complexity. Deep learning has…

Machine Learning · Computer Science 2024-12-13 Sinem Coleri , Aysun Gurur Onalan , Marco di Renzo

Learning to Optimize (L2O) enhances optimization efficiency with integrated neural networks. L2O paradigms achieve great outcomes, e.g., refitting optimizer, generating unseen solutions iteratively or directly. However, conventional L2O…

Machine Learning · Computer Science 2025-03-17 Mingjia Shi , Ruihan Lin , Xuxi Chen , Yuhao Zhou , Zezhen Ding , Pingzhi Li , Tong Wang , Kai Wang , Zhangyang Wang , Jiheng Zhang , Tianlong Chen

In continual learning from demonstration (CLfD), a robot learns a sequence of real-world motion skills continually from human demonstrations. Recently, hypernetworks have been successful in solving this problem. In this paper, we perform an…

Robotics · Computer Science 2024-01-02 Sayantan Auddy , Sebastian Bergner , Justus Piater

Artificial intelligence has made remarkable progress in handling complex tasks, thanks to advances in hardware acceleration and machine learning algorithms. However, to acquire more accurate outcomes and solve more complex issues,…

Machine Learning · Computer Science 2023-09-12 Mohammad Dehghani , Zahra Yazdanparast

Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-17 Chi Zhang , Qianxiao Li

We analyze a learning-to-optimize (L2O) algorithm that exploits parameter space symmetry to enhance optimization efficiency. Prior work has shown that jointly learning symmetry transformations and local updates improves meta-optimizer…

Machine Learning · Computer Science 2025-04-23 Guy Zamir , Aryan Dokania , Bo Zhao , Rose Yu

The process of meta-learning algorithms from data, instead of relying on manual design, is growing in popularity as a paradigm for improving the performance of machine learning systems. Meta-learning shows particular promise for…

Machine Learning · Computer Science 2025-09-11 Alexander David Goldie , Zilin Wang , Jaron Cohen , Jakob Nicolaus Foerster , Shimon Whiteson

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

Machine Learning · Computer Science 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

Learned optimization has emerged as a promising alternative to hand-crafted optimizers, with the potential to discover stronger learned update rules that enable faster, hyperparameter-free training of neural networks. A critical element for…

Machine Learning · Computer Science 2025-06-23 Abhinav Moudgil , Boris Knyazev , Guillaume Lajoie , Eugene Belilovsky

We argue that the optimization plays a crucial role in generalization of deep learning models through implicit regularization. We do this by demonstrating that generalization ability is not controlled by network size but rather by some…

Machine Learning · Computer Science 2017-05-10 Behnam Neyshabur , Ryota Tomioka , Ruslan Salakhutdinov , Nathan Srebro

In recent years, by leveraging more data, computation, and diverse tasks, learned optimizers have achieved remarkable success in supervised learning, outperforming classical hand-designed optimizers. Reinforcement learning (RL) is…

Machine Learning · Computer Science 2024-06-05 Qingfeng Lan , A. Rupam Mahmood , Shuicheng Yan , Zhongwen Xu

In recent years, by utilizing optimization techniques to formulate the propagation of deep model, a variety of so-called Optimization-Derived Learning (ODL) approaches have been proposed to address diverse learning and vision tasks.…

Machine Learning · Computer Science 2023-09-13 Risheng Liu , Xuan Liu , Shangzhi Zeng , Jin Zhang , Yixuan Zhang
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