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We propose a new variant of AMSGrad, a popular adaptive gradient based optimization algorithm widely used for training deep neural networks. Our algorithm adds prior knowledge about the sequence of consecutive mini-batch gradients and…

Machine Learning · Statistics 2020-11-04 Jun-Kun Wang , Xiaoyun Li , Belhal Karimi , Ping Li

Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

Optimization and Control · Mathematics 2020-01-23 Carla Bertocchi , Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Marco Prato

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

As an integral component of blind image deblurring, non-blind deconvolution removes image blur with a given blur kernel, which is essential but difficult due to the ill-posed nature of the inverse problem. The predominant approach is based…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Dong Gong , Zhen Zhang , Qinfeng Shi , Anton van den Hengel , Chunhua Shen , Yanning Zhang

ReParameterization (RP) Policy Gradient Methods (PGMs) have been widely adopted for continuous control tasks in robotics and computer graphics. However, recent studies have revealed that, when applied to long-term reinforcement learning…

Machine Learning · Computer Science 2023-11-01 Shenao Zhang , Boyi Liu , Zhaoran Wang , Tuo Zhao

Even for the gradient descent (GD) method applied to neural network training, understanding its optimization dynamics, including convergence rate, iterate trajectories, function value oscillations, and especially its implicit acceleration,…

Machine Learning · Computer Science 2026-05-22 Alexander Tyurin

Stochastic optimization plays a crucial role in the advancement of deep learning technologies. Over the decades, significant effort has been dedicated to improving the training efficiency and robustness of deep neural networks, via various…

Machine Learning · Computer Science 2024-08-21 Huixiu Jiang , Ling Yang , Yu Bao , Rutong Si , Sikun Yang

State-of-the-art training algorithms for deep learning models are based on stochastic gradient descent (SGD). Recently, many variations have been explored: perturbing parameters for better accuracy (such as in Extragradient), limiting SGD…

Machine Learning · Computer Science 2022-03-23 Amirkeivan Mohtashami , Martin Jaggi , Sebastian U. Stich

By absorbing the merits of both the model- and data-driven methods, deep physics-engaged learning scheme achieves high-accuracy and interpretable image reconstruction. It has attracted growing attention and become the mainstream for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Bin Chen , Jiechong Song , Jingfen Xie , Jian Zhang

This paper proposes a learning aided gradient descent (LAGD) algorithm to solve the weighted sum rate (WSR) maximization problem for multiple-input single-output (MISO) beamforming. The proposed LAGD algorithm directly optimizes the…

Signal Processing · Electrical Eng. & Systems 2022-07-26 Zhixiong Yang , Jing-Yuan Xia , Junshan Luo , Shuanghui Zhang , Deniz Gündüz

The paper presents a deep learning-aided iterative detection algorithm for massive overloaded MIMO systems. Since the proposed algorithm is based on the projected gradient descent method with trainable parameters, it is named as trainable…

Information Theory · Computer Science 2018-12-27 Satoshi Takabe , Masayuki Imanishi , Tadashi Wadayama , Kazunori Hayashi

Meta-learning offers a principled framework leveraging \emph{task-invariant} priors from related tasks, with which \emph{task-specific} models can be fine-tuned on downstream tasks, even with limited data records. Gradient-based…

Machine Learning · Computer Science 2026-04-16 Yilang Zhang , Abraham Jaeger Mountain , Bingcong Li , Georgios B. Giannakis

In deep learning, optimization plays a vital role. By focusing on image classification, this work investigates the pros and cons of the widely used optimizers, and proposes a new optimizer: Perturbated Unit Gradient Descent (PUGD) algorithm…

Machine Learning · Computer Science 2022-11-10 Ching-Hsun. Tseng , Liu-Hsueh. Cheng , Shin-Jye. Lee , Xiaojun Zeng

Machine learning models fail to perform when facing out-of-distribution (OOD) domains, a challenging task known as domain generalization (DG). In this work, we develop a novel DG training strategy, we call PGrad, to learn a robust gradient…

Machine Learning · Computer Science 2023-05-03 Zhe Wang , Jake Grigsby , Yanjun Qi

Countless signal processing applications include the reconstruction of signals from few indirect linear measurements. The design of effective measurement operators is typically constrained by the underlying hardware and physics, posing a…

Machine Learning · Computer Science 2023-05-23 Jonathan Sauder , Martin Genzel , Peter Jung

Graph deep learning has recently emerged as a powerful ML concept allowing to generalize successful deep neural architectures to non-Euclidean structured data. Such methods have shown promising results on a broad spectrum of applications…

Machine Learning · Computer Science 2022-05-16 Anees Kazi , Luca Cosmo , Seyed-Ahmad Ahmadi , Nassir Navab , Michael Bronstein

The application of machine learning in wireless communications has been extensively explored, with deep unfolding emerging as a powerful model-based technique. Deep unfolding enhances interpretability by transforming complex iterative…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Sukanya Deka , Kuntal Deka , Nhan Thanh Nguyen , Sanjeev Sharma , Vimal Bhatia , Nandana Rajatheva

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

Deformable image registration plays a critical role in various tasks of medical image analysis. A successful registration algorithm, either derived from conventional energy optimization or deep networks requires tremendous efforts from…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Xin Fan , Zi Li , Ziyang Li , Xiaolin Wang , Risheng Liu , Zhongxuan Luo , Hao Huang

We propose a Stochastic Gradient Descent (SGD)-type algorithm for Personalized Federated Learning which can be particularly attractive for mobile energy-limited regimes due to its low per-client computational cost. The model to be trained…

Machine Learning · Computer Science 2025-12-15 Sotirios Nikoloutsopoulos , Iordanis Koutsopoulos , Michalis K. Titsias