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Tensor network methods provide a scalable solution to represent high-dimensional data. However, their efficacy is often limited by static, expert-defined structures that fail to adapt to evolving data correlations. We address this…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Zheng Guo , Aditya Deshpande , Xinyu Wang , Brian C. Kiedrowski , Alex A. Gorodetsky

Neural architecture search (NAS) has achieved remarkable results in deep neural network design. Differentiable architecture search converts the search over discrete architectures into a hyperparameter optimization problem which can be…

In this paper, we consider deep neural networks for solving inverse problems that are robust to forward model mis-specifications. Specifically, we treat sensing problems with model mismatch where one wishes to recover a sparse…

Machine Learning · Computer Science 2021-10-22 Wei Pu , Chao Zhou , Yonina C. Eldar , Miguel R. D. Rodrigues

Differentiable Neural Architecture Search is one of the most popular Neural Architecture Search (NAS) methods for its search efficiency and simplicity, accomplished by jointly optimizing the model weight and architecture parameters in a…

Machine Learning · Computer Science 2021-08-11 Ruochen Wang , Minhao Cheng , Xiangning Chen , Xiaocheng Tang , Cho-Jui Hsieh

Current recommender systems employ large-sized embedding tables with uniform dimensions for all features, leading to overfitting, high computational cost, and suboptimal generalizing performance. Many techniques aim to solve this issue by…

Information Retrieval · Computer Science 2023-09-18 Yakun Yu , Shi-ang Qi , Jiuding Yang , Liyao Jiang , Di Niu

In this paper, we revisit the class of iterative shrinkage-thresholding algorithms (ISTA) for solving the linear inverse problem with sparse representation, which arises in signal and image processing. It is shown in the numerical…

Optimization and Control · Mathematics 2023-01-18 Bowen Li , Bin Shi , Ya-xiang Yuan

There exist many well-established techniques to recover sparse signals from compressed measurements with known performance guarantees in the static case. However, only a few methods have been proposed to tackle the recovery of time-varying…

Dynamical Systems · Mathematics 2023-07-19 Aurele Balavoine , Christopher J. Rozell , Justin Romberg

For first-order smooth optimization, the research on the acceleration phenomenon has a long-time history. Until recently, the mechanism leading to acceleration was not successfully uncovered by the gradient correction term and its…

Optimization and Control · Mathematics 2022-11-04 Bowen Li , Bin Shi , Ya-xiang Yuan

This paper studies an online optimization problem with a finite prediction window of cost functions and additional switching costs on decisions. We propose two gradient-based online algorithms: Receding Horizon Gradient Descent (RHGD), and…

Optimization and Control · Mathematics 2020-03-10 Yingying Li , Guannan Qu , Na Li

Developing efficient and principled neural architecture optimization methods is a critical challenge of modern deep learning. Recently, Liu et al.[19] proposed a splitting steepest descent (S2D) method that jointly optimizes the neural…

Machine Learning · Computer Science 2021-06-22 Lemeng Wu , Mao Ye , Qi Lei , Jason D. Lee , Qiang Liu

This paper investigates the problem of recovering hyperspectral (HS) images from single RGB images. To tackle such a severely ill-posed problem, we propose a physically-interpretable, compact, efficient, and end-to-end learning-based…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Zhiyu Zhu , Hui Liu , Junhui Hou , Sen Jia , Qingfu Zhang

This paper aims at enlarging the problem of Neural Architecture Search (NAS) from Single-Path and Multi-Path Search to automated Mixed-Path Search. In particular, we model the NAS problem as a sparse supernet using a new continuous…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Yan Wu , Aoming Liu , Zhiwu Huang , Siwei Zhang , Luc Van Gool

Neural architecture search (NAS) aims to automatically design deep neural networks of satisfactory performance. Wherein, architecture performance predictor is critical to efficiently value an intermediate neural architecture. But for the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Yehui Tang , Yunhe Wang , Yixing Xu , Hanting Chen , Chunjing Xu , Boxin Shi , Chao Xu , Qi Tian , Chang Xu

We consider a numerical framework tailored to identifying optimal parameters in the context of modelling disease propagation. Our focus is on understanding the behaviour of optimisation algorithms for such problems, where the dynamics are…

Optimization and Control · Mathematics 2025-02-13 Andrés Miniguano-Trujillo , John W. Pearson , Benjamin D. Goddard

Stochastic gradient descent (SGD) is the main approach for training deep networks: it moves towards the optimum of the cost function by iteratively updating the parameters of a model in the direction of the gradient of the loss evaluated on…

Machine Learning · Computer Science 2021-03-30 Loris Nanni , Gianluca Maguolo , Alessandra Lumini

The Projected Gradient Descent (PGD) algorithm is a widely used and efficient first-order method for solving constrained optimization problems due to its simplicity and scalability in large design spaces. Building on recent advancements in…

Optimization and Control · Mathematics 2025-06-18 Lucka Barbeau , Marc-Étienne Lamarche-Gagnon , Florin Ilinca

Training deep neural networks is a structured optimization problem, because the parameters are naturally represented by matrices and tensors rather than by vectors. Under this structural representation, it has been widely observed that…

Machine Learning · Computer Science 2025-10-30 Kang An , Yuxing Liu , Rui Pan , Yi Ren , Shiqian Ma , Donald Goldfarb , Tong Zhang

We propose a novel method that makes use of deep neural networks and gradient decent to perform automated design on complex real world engineering tasks. Our approach works by training a neural network to mimic the fitness function of a…

Machine Learning · Statistics 2017-10-31 Oliver Hennigh

Gradient Descent (GD) and Conjugate Gradient (CG) methods are among the most effective iterative algorithms for solving unconstrained optimization problems, particularly in machine learning and statistical modeling, where they are employed…

Optimization and Control · Mathematics 2024-12-19 Xianqi Jiao , Jia Liu , Zhiping Chen

Non-convex sparsity-inducing penalties have recently received considerable attentions in sparse learning. Recent theoretical investigations have demonstrated their superiority over the convex counterparts in several sparse learning…

Machine Learning · Computer Science 2013-03-20 Pinghua Gong , Changshui Zhang , Zhaosong Lu , Jianhua Huang , Jieping Ye
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