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The study of modern machine learning models often necessitates storing vast quantities of gradients or Hessian vector products (HVPs). Traditional sketching methods struggle to scale under these memory constraints. We present a novel…

Machine Learning · Computer Science 2024-10-25 Andrea Schioppa

The objective of this study is to establish a gradient-free topology optimization framework that facilitates more global solution searches to avoid entrapping in undesirable local optima, especially in problems with strong non-linearity.…

Optimization and Control · Mathematics 2025-03-07 Hiroki Kawabe , Kentaro Yaji , Yuichiro Aoki

Deep learning has gained significant attention in medical image segmentation. However, the limited availability of annotated training data presents a challenge to achieving accurate results. In efforts to overcome this challenge, data…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Aghiles Kebaili , Jérôme Lapuyade-Lahorgue , Pierre Vera , Su Ruan

Reinforcement Learning (RL) algorithms allow artificial agents to improve their action selections so as to increase rewarding experiences in their environments. Deep Reinforcement Learning algorithms require solving a nonconvex and…

Machine Learning · Computer Science 2019-04-18 Jacob Rafati , Roummel F. Marcia

This paper focuses on hyperparameter optimization for autonomous driving strategies based on Reinforcement Learning. We provide a detailed description of training the RL agent in a simulation environment. Subsequently, we employ Efficient…

Machine Learning · Computer Science 2024-07-22 Nihal Acharya Adde , Hanno Gottschalk , Andreas Ebert

A number of optimization approaches have been proposed for optimizing nonconvex objectives (e.g. deep learning models), such as batch gradient descent, stochastic gradient descent and stochastic variance reduced gradient descent. Theory…

Machine Learning · Computer Science 2019-05-15 Jia Bi , Steve R. Gunn

Training RNNs to learn long-term dependencies is difficult due to vanishing gradients. We explore an alternative solution based on explicit memorization using linear autoencoders for sequences, which allows to maximize the short-term memory…

Machine Learning · Computer Science 2020-11-06 Antonio Carta , Alessandro Sperduti , Davide Bacciu

Gaussian Mixture Models (GMMs) are a standard tool in data analysis. However, they face problems when applied to high-dimensional data (e.g., images) due to the size of the required full covariance matrices (CMs), whereas the use of…

Machine Learning · Computer Science 2023-08-29 Alexander Gepperth

Variational inference algorithms have proven successful for Bayesian analysis in large data settings, with recent advances using stochastic variational inference (SVI). However, such methods have largely been studied in independent or…

Machine Learning · Statistics 2014-11-07 Nicholas J. Foti , Jason Xu , Dillon Laird , Emily B. Fox

We give a simple, fast algorithm for hyperparameter optimization inspired by techniques from the analysis of Boolean functions. We focus on the high-dimensional regime where the canonical example is training a neural network with a large…

Machine Learning · Computer Science 2018-01-23 Elad Hazan , Adam Klivans , Yang Yuan

Following early work on Hessian-free methods for deep learning, we study a stochastic generalized Gauss-Newton method (SGN) for training DNNs. SGN is a second-order optimization method, with efficient iterations, that we demonstrate to…

Machine Learning · Computer Science 2020-06-11 Matilde Gargiani , Andrea Zanelli , Moritz Diehl , Frank Hutter

Conditional stochastic optimization has found applications in a wide range of machine learning tasks, such as invariant learning, AUPRC maximization, and meta-learning. As the demand for training models with large-scale distributed data…

Machine Learning · Computer Science 2023-10-05 Xidong Wu , Jianhui Sun , Zhengmian Hu , Junyi Li , Aidong Zhang , Heng Huang

In this work, we propose a novel adaptive stochastic gradient-free (ASGF) approach for solving high-dimensional nonconvex optimization problems based on function evaluations. We employ a directional Gaussian smoothing of the target function…

Optimization and Control · Mathematics 2022-01-19 Anton Dereventsov , Clayton G. Webster , Joseph D. Daws

Machine Learning algorithms have been extensively researched throughout the last decade, leading to unprecedented advances in a broad range of applications, such as image classification and reconstruction, object recognition, and text…

Artificial Intelligence · Computer Science 2022-12-20 Gustavo H. de Rosa , Mateus Roder , João Paulo Papa , Claudio F. G. dos Santos

Hidden Markov models (HMMs) are popular models to identify a finite number of latent states from sequential data. However, fitting them to large data sets can be computationally demanding because most likelihood maximization techniques…

Our approach is part of the close link between continuous dissipative dynamical systems and optimization algorithms. We aim to solve convex minimization problems by means of stochastic inertial differential equations which are driven by the…

Optimization and Control · Mathematics 2025-06-06 Rodrigo Maulen-Soto , Jalal Fadili , Hedy Attouch , Peter Ochs

This paper explores second-order optimization methods in Federated Learning (FL), addressing the critical challenges of slow convergence and the excessive communication rounds required to achieve optimal performance from the global model.…

Machine Learning · Computer Science 2025-05-30 Mrinmay Sen , Sidhant R Nair , C Krishna Mohan

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

Machine Learning · Computer Science 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

A large labeled dataset is a key to the success of supervised deep learning, but for medical image segmentation, it is highly challenging to obtain sufficient annotated images for model training. In many scenarios, unannotated images are…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Hao Zheng , Jun Han , Hongxiao Wang , Lin Yang , Zhuo Zhao , Chaoli Wang , Danny Z. Chen

Stochastic Gradient Descent (SGD) methods are prominent for training machine learning and deep learning models. The performance of these techniques depends on their hyperparameter tuning over time and varies for different models and…

Machine Learning · Statistics 2019-08-22 Tomer Lancewicki , Selcuk Kopru
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