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In this paper, we prove that an Adam-type algorithm with smooth clipping approaches the global minimizer of the regularized non-convex loss function. Adding smooth clipping and taking the state space as the set of all trajectories, we can…

机器学习 · 计算机科学 2023-12-06 Keisuke Suzuki

The Gradient Descent-Ascent (GDA) algorithm, designed to solve minimax optimization problems, takes the descent and ascent steps either simultaneously (Sim-GDA) or alternately (Alt-GDA). While Alt-GDA is commonly observed to converge…

最优化与控制 · 数学 2024-07-16 Jaewook Lee , Hanseul Cho , Chulhee Yun

We revisit the incremental autonomous exploration problem proposed by Lim & Auer (2012). In this setting, the agent aims to learn a set of near-optimal goal-conditioned policies to reach the $L$-controllable states: states that are…

机器学习 · 计算机科学 2022-05-24 Haoyuan Cai , Tengyu Ma , Simon Du

In this paper, we theoretically justify an approach popular among participants of the Higgs Boson Machine Learning Challenge to optimize approximate median significance (AMS). The approach is based on the following two-stage procedure.…

机器学习 · 计算机科学 2014-12-08 Wojciech Kotłowski

We introduce Velocity-Regularized Adam (VRAdam), a physics-inspired optimizer for training deep neural networks that draws on ideas from quartic terms for kinetic energy with its stabilizing effects on various system dynamics. Previous…

机器学习 · 计算机科学 2026-05-13 Pranav Vaidhyanathan , Lucas Schorling , Natalia Ares , Michael A. Osborne

Sharpness-Aware Minimization (SAM) is a recent training method that relies on worst-case weight perturbations which significantly improves generalization in various settings. We argue that the existing justifications for the success of SAM…

机器学习 · 计算机科学 2022-06-14 Maksym Andriushchenko , Nicolas Flammarion

The alternating minimization (AM) method is a fundamental method for minimizing convex functions whose variable consists of two blocks. How to efficiently solve each subproblems when applying the AM method is the most concerned task. In…

最优化与控制 · 数学 2015-01-16 Hui Zhang , Lizhi Cheng

To promote the global search ability of the original state transition algorithm, a new operator called axesion is suggested, which aims to search along the axes and strengthen single dimensional search. Several benchmark minimization…

最优化与控制 · 数学 2012-10-15 Xiaojun Zhou , Chunhua Yang , Weihua Gui

We consider Sharpness-Aware Minimization (SAM), a gradient-based optimization method for deep networks that has exhibited performance improvements on image and language prediction problems. We show that when SAM is applied with a convex…

机器学习 · 计算机科学 2023-04-12 Peter L. Bartlett , Philip M. Long , Olivier Bousquet

Choice modellers routinely acknowledge the risk of convergence to inferior local optima when using structures other than a simple linear-in-parameters logit model. At the same time, there is no consensus on appropriate mechanisms for…

计量经济学 · 经济学 2025-06-04 Stephane Hess , David Bunch , Andrew Daly

We investigate the role of the optimizer in determining the quality of the model fit for neural networks with a small to medium number of parameters. We study the performance of Adam, an algorithm for first-order gradient-based optimization…

机器学习 · 计算机科学 2022-05-17 John Taylor , Wenyi Wang , Biswajit Bala , Tomasz Bednarz

A commonly used learning rule is to approximately minimize the \emph{average} loss over the training set. Other learning algorithms, such as AdaBoost and hard-SVM, aim at minimizing the \emph{maximal} loss over the training set. The average…

机器学习 · 计算机科学 2016-05-24 Shai Shalev-Shwartz , Yonatan Wexler

Robust and effective scaling of models from small to large width typically requires the precise adjustment of many algorithmic and architectural details, such as parameterization and optimizer choices. In this work, we propose a new…

In this paper, we propose a novel few-shot optimization with HED-LM (Hybrid Euclidean Distance with Large Language Models) to improve example selection for sensor-based classification tasks. While few-shot prompting enables efficient…

计算与语言 · 计算机科学 2025-06-02 Elsen Ronando , Sozo Inoue

In this paper, we propose an inexact Augmented Lagrangian Method (ALM) for the optimization of convex and nonsmooth objective functions subject to linear equality constraints and box constraints where errors are due to fixed-point data. To…

最优化与控制 · 数学 2019-07-23 Yan Zhang , Michael M. Zavlanos

This study combines simulated annealing with delta evaluation to solve the joint stratification and sample allocation problem. In this problem, atomic strata are partitioned into mutually exclusive and collectively exhaustive strata. Each…

人工智能 · 计算机科学 2021-11-23 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

Machine learning algorithms aim to find patterns from observations, which may include some noise, especially in robotics domain. To perform well even with such noise, we expect them to be able to detect outliers and discard them when…

机器学习 · 计算机科学 2020-03-04 Wendyam Eric Lionel Ilboudo , Taisuke Kobayashi , Kenji Sugimoto

Sharpness-Aware Minimization (SAM) is an optimizer that takes a descent step based on the gradient at a perturbation $y_t = x_t + \rho \frac{\nabla f(x_t)}{\lVert \nabla f(x_t) \rVert}$ of the current point $x_t$. Existing studies prove…

机器学习 · 计算机科学 2023-10-30 Dongkuk Si , Chulhee Yun

Adam is applied widely to train neural networks. Different kinds of Adam methods with different features pop out. Recently two new adam optimizers, AdaBelief and Padam are introduced among the community. We analyze these two adam optimizers…

计算机视觉与模式识别 · 计算机科学 2021-10-05 Zhaoyang Zhu , Haozhe Sun , Chi Zhang

Motivated by the problem of tuning hyperparameters in machine learning, we present a new approach for gradually and adaptively optimizing an unknown function using estimated gradients. We validate the empirical performance of the proposed…

机器学习 · 计算机科学 2019-06-05 Weijia Shao , Christian Geißler , Fikret Sivrikaya