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In deep learning, it is common to use more network parameters than training points. In such scenarioof over-parameterization, there are usually multiple networks that achieve zero training error so that thetraining algorithm induces an…

机器学习 · 计算机科学 2023-08-22 Hung-Hsu Chou , Carsten Gieshoff , Johannes Maly , Holger Rauhut

We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

数值分析 · 数学 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

Since Differential Evolution (DE) is sensitive to strategy choice, most existing variants pursue performance through adaptive mechanisms or intricate designs. While these approaches focus on adjusting strategies over time, the structural…

神经与进化计算 · 计算机科学 2026-02-03 Chenchen Feng , Minyang Chen , Zhuozhao Li , Ran Cheng

A new gradient-based optimization approach by automatically scheduling the learning rate has been proposed recently, which is called Binary Forward Exploration (BFE). The Adaptive version of BFE has also been discussed thereafter. In this…

机器学习 · 计算机科学 2022-09-23 Xin Cao

Machine learning is a powerful method for modeling in different fields such as education. Its capability to accurately predict students' success makes it an ideal tool for decision-making tasks related to higher education. The accuracy of…

机器学习 · 计算机科学 2021-05-03 Leila Zahedi , Farid Ghareh Mohammadi , Shabnam Rezapour , Matthew W. Ohland , M. Hadi Amini

The Sparsest Permutation (SP) algorithm is accurate but limited to about 9 variables in practice; the Greedy Sparest Permutation (GSP) algorithm is faster but less weak theoretically. A compromise can be given, the Best Order Score Search,…

人工智能 · 计算机科学 2021-09-03 Joseph D. Ramsey

This paper introduces a novel competitive mechanism into differential evolution (DE), presenting an effective DE variant named competitive DE (CDE). CDE features a simple yet efficient mutation strategy: DE/winner-to-best/1. Essentially,…

神经与进化计算 · 计算机科学 2024-06-11 Rui Zhong , Yang Cao , Enzhi Zhang , Masaharu Munetomo

Variational quantum circuits have arisen as an important method in quantum computing. A crucial step of it is parameter optimization, which is typically tackled through gradient-descent techniques. We advantageously explore instead the use…

量子物理 · 物理学 2024-12-24 Vignesh Anantharamakrishnan , Márcio M. Taddei

Differential Evolution (DE) proved to be one of the most successful evolutionary algorithms for global optimization purposes in continuous problems. The core operator in DE is mutation which can provide the algorithm with both exploration…

神经与进化计算 · 计算机科学 2016-04-12 H. Sharifi Noghabi , H. Rajabi Mashhadi , K. Shojaei

Current expectations from training deep learning models with gradient-based methods include: 1) transparency; 2) high convergence rates; 3) high inductive biases. While the state-of-art methods with adaptive learning rate schedules are…

机器学习 · 计算机科学 2020-08-11 Ilona Kulikovskikh , Tarzan Legović

Many applications in machine learning require optimizing a function whose true gradient is unknown, but where surrogate gradient information (directions that may be correlated with, but not necessarily identical to, the true gradient) is…

神经与进化计算 · 计算机科学 2019-06-12 Niru Maheswaranathan , Luke Metz , George Tucker , Dami Choi , Jascha Sohl-Dickstein

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

While deep learning models have shown remarkable performance in various tasks, they are susceptible to learning non-generalizable spurious features rather than the core features that are genuinely correlated to the true label. In this…

机器学习 · 计算机科学 2023-10-31 Yihe Deng , Yu Yang , Baharan Mirzasoleiman , Quanquan Gu

We propose an algorithm for the adaptation of the learning rate for stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation: to get an estimate…

机器学习 · 统计学 2020-08-28 Antti Koskela , Antti Honkela

The performance of stochastic gradient descent (SGD) depends critically on how learning rates are tuned and decreased over time. We propose a method to automatically adjust multiple learning rates so as to minimize the expected error at any…

机器学习 · 统计学 2013-02-19 Tom Schaul , Sixin Zhang , Yann LeCun

Many applications seek to optimize LLM outputs at test time by iteratively proposing, scoring, and refining candidates over a discrete output space. Existing methods use a calibrated scalar evaluator for the target objective to guide…

Modern machine learning algorithms crucially rely on several design decisions to achieve strong performance, making the problem of Hyperparameter Optimization (HPO) more important than ever. Here, we combine the advantages of the popular…

机器学习 · 计算机科学 2021-10-22 Noor Awad , Neeratyoy Mallik , Frank Hutter

It has long been argued that minibatch stochastic gradient descent can generalize better than large batch gradient descent in deep neural networks. However recent papers have questioned this claim, arguing that this effect is simply a…

机器学习 · 计算机科学 2020-06-29 Samuel L. Smith , Erich Elsen , Soham De

Existing multi-strategy adaptive differential evolution (DE) commonly involves trials of multiple strategies and then rewards better-performing ones with more resources. However, the trials of an exploitative or explorative strategy may…

神经与进化计算 · 计算机科学 2021-12-03 Sheng Xin Zhang , Wing Shing Chan , Kit Sang Tang , Shao Yong Zheng

Many Differential Evolution (DE) algorithms with various parameter control methods (PCMs) have been proposed. However, previous studies usually considered PCMs to be an integral component of a complex DE algorithm. Thus the characteristics…

神经与进化计算 · 计算机科学 2020-10-05 Ryoji Tanabe , Alex Fukunaga