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We present a first-order method for solving constrained optimization problems. The method is derived from our previous work, a modified search direction method inspired by singular value decomposition. In this work, we simplify its…

Optimization and Control · Mathematics 2023-02-24 Long Chen , Kai-Uwe Bletzinger , Nicolas R. Gauger , Yinyu Ye

The use of automatic methods, often referred to as Neural Architecture Search (NAS), in designing neural network architectures has recently drawn considerable attention. In this work, we present an efficient NAS approach, named HM- NAS,…

Machine Learning · Computer Science 2019-09-10 Shen Yan , Biyi Fang , Faen Zhang , Yu Zheng , Xiao Zeng , Hui Xu , Mi Zhang

In this paper, we consider an LQR design problem for distributed control systems. For large-scale distributed systems, finding a solution might be computationally demanding due to communications among agents. To this aim, we deal with LQR…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-02 Myung Cho

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

This paper introduces a novel Homogeneous Second-order Descent Ascent (HSDA) algorithm for nonconvex-strongly concave minimax optimization problems. At each iteration, HSDA uniquely computes a search direction by solving a homogenized…

Optimization and Control · Mathematics 2026-02-17 Jia-Hao Chen , Zi Xu , Hui-Ling Zhang

State-of-the-art deep networks are often too large to deploy on mobile devices and embedded systems. Mobile neural architecture search (NAS) methods automate the design of small models but state-of-the-art NAS methods are expensive to run.…

Machine Learning · Computer Science 2020-06-18 Shraman Ray Chaudhuri , Elad Eban , Hanhan Li , Max Moroz , Yair Movshovitz-Attias

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

Machine Learning · Statistics 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

In this work, we propose Natural Hypergradient Descent (NHGD), a new method for solving bilevel optimization problems. To address the computational bottleneck in hypergradient estimation--namely, the need to compute or approximate Hessian…

Machine Learning · Computer Science 2026-04-02 Deyi Kong , Zaiwei Chen , Shuzhong Zhang , Shancong Mou

Recent advances in Neural Architecture Search (NAS) such as one-shot NAS offer the ability to extract specialized hardware-aware sub-network configurations from a task-specific super-network. While considerable effort has been employed…

Machine Learning · Computer Science 2022-05-24 Daniel Cummings , Anthony Sarah , Sharath Nittur Sridhar , Maciej Szankin , Juan Pablo Munoz , Sairam Sundaresan

Large-scale non-convex sparsity-constrained problems have recently gained extensive attention. Most existing deterministic optimization methods (e.g., GraSP) are not suitable for large-scale and high-dimensional problems, and thus…

Machine Learning · Computer Science 2019-12-03 Fanhua Shang , Bingkun Wei , Hongying Liu , Yuanyuan Liu , Jiacheng Zhuo

Fast Iterative Shrinking-Threshold Algorithm (FISTA) is a popular fast gradient descent method (FGM) in the field of large scale convex optimization problems. However, it can exhibit undesirable periodic oscillatory behaviour in some…

Optimization and Control · Mathematics 2019-12-30 Teodoro Alamo , Pablo Krupa , Daniel Limon

Hyperparameter optimization (HPO) and neural architecture search (NAS) are methods of choice to obtain the best-in-class machine learning models, but in practice they can be costly to run. When models are trained on large datasets, tuning…

Machine Learning · Computer Science 2023-03-09 Ondrej Bohdal , Lukas Balles , Martin Wistuba , Beyza Ermis , Cédric Archambeau , Giovanni Zappella

Many models have been proposed for vision and language tasks, especially the image-text retrieval task. All state-of-the-art (SOTA) models in this challenge contained hundreds of millions of parameters. They also were pretrained on a large…

Computer Vision and Pattern Recognition · Computer Science 2023-01-13 Manh-Duy Nguyen , Binh T. Nguyen , Cathal Gurrin

Improving the efficiency of Neural Architecture Search (NAS) is a challenging but significant task that has received much attention. Previous works mainly adopted the Differentiable Architecture Search (DARTS) and improved its search…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Chongjun Tu , Peng Ye , Weihao Lin , Hancheng Ye , Chong Yu , Tao Chen , Baopu Li , Wanli Ouyang

Efficient hyperparameter or architecture search methods have shown remarkable results, but each of them is only applicable to searching for either hyperparameters (HPs) or architectures. In this work, we propose a unified pipeline, AutoHAS,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Xuanyi Dong , Mingxing Tan , Adams Wei Yu , Daiyi Peng , Bogdan Gabrys , Quoc V. Le

This paper investigates different vector step-size adaptation approaches for non-stationary online, continual prediction problems. Vanilla stochastic gradient descent can be considerably improved by scaling the update with a vector of…

Machine Learning · Computer Science 2019-12-16 Andrew Jacobsen , Matthew Schlegel , Cameron Linke , Thomas Degris , Adam White , Martha White

Manually-designed network architectures for thermal infrared pedestrian tracking (TIR-PT) require substantial effort from human experts. AlexNet and ResNet are widely used as backbone networks in TIR-PT applications. However, these…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Wen-Jia Tang , Xiao Liu , Peng Gao , Fei Wang , Ru-Yue Yuan

High-dimensional linear regression model is the most popular statistical model for high-dimensional data, but it is quite a challenging task to achieve a sparse set of regression coefficients. In this paper, we propose a simple heuristic…

Machine Learning · Computer Science 2022-11-29 Xue Yu , Yifan Sun , Haijun Zhou

Convex-composite optimization, which minimizes an objective function represented by the sum of a differentiable function and a convex one, is widely used in machine learning and signal/image processing. Fast Iterative Shrinkage Thresholding…

Optimization and Control · Mathematics 2022-05-12 Hiroki Tanabe , Ellen H. Fukuda , Nobuo Yamashita

Bilevel optimization has been widely used in many machine learning applications such as hyperparameter optimization and meta learning. Recently, many simple stochastic gradient descent(SGD) type algorithms(without using momentum and…

Optimization and Control · Mathematics 2023-06-21 Haimei Huo , Risheng Liu , Zhixun Su