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We propose automatic optimisation methods considering the geometry of matrix manifold for the normalised parameters of neural networks. Layerwise weight normalisation with respect to Frobenius norm is utilised to bound the Lipschitz…

机器学习 · 计算机科学 2023-12-19 Namhoon Cho , Hyo-Sang Shin

We describe an approach for incorporating prior knowledge into machine learning algorithms. We aim at applications in physics and signal processing in which we know that certain operations must be embedded into the algorithm. Any operation…

Recent studies showed that the generalization of neural networks is correlated with the sharpness of the loss landscape, and flat minima suggests a better generalization ability than sharp minima. In this paper, we propose a novel method…

机器学习 · 计算机科学 2024-05-24 Yuyan Zhou , Ye Li , Lei Feng , Sheng-Jun Huang

The choices of hyperparameters have critical effects on the performance of machine learning models. In this paper, we present a general framework that is able to construct an adaptive optimizer, which automatically adjust the appropriate…

机器学习 · 计算机科学 2022-01-31 Huayuan Sun

As recurrent neural networks become larger and deeper, training times for single networks are rising into weeks or even months. As such there is a significant incentive to improve the performance and scalability of these networks. While…

机器学习 · 计算机科学 2016-04-08 Jeremy Appleyard , Tomas Kocisky , Phil Blunsom

In this paper, a modified BFGS algorithm is proposed. The modified BFGS matrix estimates a modified Hessian matrix which is a convex combination of an identity matrix for the steepest descent algorithm and a Hessian matrix for the Newton…

最优化与控制 · 数学 2025-11-14 Yaguang Yang

This paper introduces a new method to train recurrent neural networks using dynamical trajectory-based optimization. The optimization method utilizes a projected gradient system (PGS) and a quotient gradient system (QGS) to determine the…

信号处理 · 电气工程与系统科学 2019-10-16 Hamid Khodabandehlou , M. Sami Fadali

Learning-to-optimize is an emerging framework that leverages training data to speed up the solution of certain optimization problems. One such approach is based on the classical mirror descent algorithm, where the mirror map is modelled…

最优化与控制 · 数学 2023-06-05 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang , Andreas Hauptmann , Carola-Bibiane Schönlieb

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

机器学习 · 计算机科学 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

With dramatic breakthroughs in recent years, machine learning is showing great potential to upgrade the toolbox for power system optimization. Understanding the strength and limitation of machine learning approaches is crucial to decide…

系统与控制 · 电气工程与系统科学 2022-02-03 Guangchun Ruan , Haiwang Zhong , Guanglun Zhang , Yiliu He , Xuan Wang , Tianjiao Pu

A long-standing goal in deep learning has been to characterize the learning behavior of black-box models in a more interpretable manner. For graph neural networks (GNNs), considerable advances have been made in formalizing what functions…

机器学习 · 计算机科学 2024-06-19 Chenxiao Yang , Qitian Wu , David Wipf , Ruoyu Sun , Junchi Yan

Transfer learning has fundamentally changed the landscape of natural language processing (NLP) research. Many existing state-of-the-art models are first pre-trained on a large text corpus and then fine-tuned on downstream tasks. However,…

计算与语言 · 计算机科学 2021-09-10 Haoming Jiang , Pengcheng He , Weizhu Chen , Xiaodong Liu , Jianfeng Gao , Tuo Zhao

We develop an approach to efficiently grow neural networks, within which parameterization and optimization strategies are designed by considering their effects on the training dynamics. Unlike existing growing methods, which follow simple…

机器学习 · 计算机科学 2023-06-23 Xin Yuan , Pedro Savarese , Michael Maire

We propose a representation of optimization problem instances using a transformer-based neural network architecture trained for the task of problem classification of the 24 problem classes from the Black-box Optimization Benchmarking (BBOB)…

机器学习 · 计算机科学 2023-12-01 Gjorgjina Cenikj , Gašper Petelin , Tome Eftimov

We propose a framework for online meta-optimization of parameters that govern optimization, called Amortized Proximal Optimization (APO). We first interpret various existing neural network optimizers as approximate stochastic proximal point…

机器学习 · 计算机科学 2022-03-02 Juhan Bae , Paul Vicol , Jeff Z. HaoChen , Roger Grosse

Prior methods propose to offset the escalating costs of modern foundation models by dropping specific parts of their contexts with hand-designed rules, while attempting to preserve their original performance. We overcome this trade-off with…

机器学习 · 计算机科学 2025-02-14 Edoardo Cetin , Qi Sun , Tianyu Zhao , Yujin Tang

In recent years, there is a growing interest in combining techniques attributed to the areas of Statistics and Machine Learning in order to obtain the benefits of both approaches. In this article, the statistical technique lasso for…

机器学习 · 统计学 2023-09-08 David Delgado , Ernesto Curbelo , Danae Carreras

Transformers have gained increasing popularity in a wide range of applications, including Natural Language Processing (NLP), Computer Vision and Speech Recognition, because of their powerful representational capacity. However, harnessing…

We propose a methodology, based on machine learning and optimization, for selecting a solver configuration for a given instance. First, we employ a set of solved instances and configurations in order to learn a performance function of the…

最优化与控制 · 数学 2024-01-10 Gabriele Iommazzo , Claudia D'Ambrosio , Antonio Frangioni , Leo Liberti

Real-world robots are becoming increasingly complex and commonly act in poorly understood environments where it is extremely challenging to model or learn their true dynamics. Therefore, it might be desirable to take a task-specific…

系统与控制 · 计算机科学 2017-09-25 Somil Bansal , Roberto Calandra , Ted Xiao , Sergey Levine , Claire J. Tomlin
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