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Despite extensive study, the significance of sharpness -- the trace of the loss Hessian at local minima -- remains unclear. We investigate an alternative perspective: how sharpness relates to the geometric structure of neural…

Machine Learning · Computer Science 2026-02-24 Shirui Chen , Stefano Recanatesi , Eric Shea-Brown

Sharpness-Aware Minimization (SAM) has attracted considerable attention for its effectiveness in improving generalization in deep neural network training by explicitly minimizing sharpness in the loss landscape. Its success, however, relies…

Machine Learning · Computer Science 2025-06-16 Sungbin Shin , Dongyeop Lee , Maksym Andriushchenko , Namhoon Lee

Synthesis of optimization algorithms typically follows a {\em design-then-analyze\/} approach, which can obscure fundamental performance limits and hinder the systematic development of algorithms that operate near these limits. Recently, a…

Optimization and Control · Mathematics 2025-09-26 Ibrahim K. Ozaslan , Wuwei Wu , Jie Chen , Tryphon T. Georgiou , Mihailo R. Jovanovic

We propose a new random method to minimize deterministic continuous functions over subsets $\mathcal{S}$ of high-dimensional space $\mathbb{R}^K$ without assuming convexity. Our procedure alternates between a Global Search (GS) regime to…

Data Analysis, Statistics and Probability · Physics 2025-06-09 Pierre Bertrand , Michel Broniatowski , Wolfgang Stummer

Deep metric learning is essential for visual recognition. The widely used pair-wise (or triplet) based loss objectives cannot make full use of semantical information in training samples or give enough attention to those hard samples during…

Computer Vision and Pattern Recognition · Computer Science 2019-03-22 Lin Xu , Han Sun , Yuai Liu

This paper proposes a theoretical framework to evaluate and compare the performance of stochastic gradient algorithms for distributed learning in relation to their behavior around local minima in nonconvex environments. Previous works have…

Machine Learning · Computer Science 2025-07-03 Ying Cao , Zhaoxian Wu , Kun Yuan , Ali H. Sayed

Pretraining optimizers are tuned to produce the strongest possible base model, on the assumption that a stronger starting point yields a stronger model after subsequent changes like post-training and quantization. This overlooks the…

Machine Learning · Computer Science 2026-05-05 Ishaan Watts , Catherine Li , Sachin Goyal , Jacob Mitchell Springer , Aditi Raghunathan

The popular softmax loss and its recent extensions have achieved great success in the deep learning-based image classification. However, the data for training image classifiers usually has different quality. Ignoring such problem, the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Weihua Liu , Xiabi Liu , Murong Wang , Ling Ma

Hit rate is a key performance metric in predicting process product quality in integrated industrial processes. It represents the percentage of products accepted by downstream processes within a controlled range of quality. However,…

Machine Learning · Computer Science 2023-06-06 Yang Yang , Jian Wu , Xiangman Song , Derun Wu , Lijie Su , Lixin Tang

The optimization of hyperparameters in convolutional neural networks (CNNs) remains a challenging and computationally expensive process, often requiring extensive trial-and-error approaches or exhaustive grid searches. This study introduces…

Machine Learning · Computer Science 2025-10-01 Sai Varun Kodathala

The article is devoted to the development of algorithmic methods ensuring efficient complexity bounds for strongly convex-concave saddle point problems in the case when one of the groups of variables is high-dimensional, and the other is…

Optimization and Control · Mathematics 2022-10-26 Egor Gladin , Ilya Kuruzov , Fedor Stonyakin , Dmitry Pasechnyuk , Mohammad Alkousa , Alexander Gasnikov

Optimization models with non-convex constraints arise in many tasks in machine learning, e.g., learning with fairness constraints or Neyman-Pearson classification with non-convex loss. Although many efficient methods have been developed…

Optimization and Control · Mathematics 2023-03-24 Runchao Ma , Qihang Lin , Tianbao Yang

Storing tabular data to balance storage and query efficiency is a long-standing research question in the database community. In this work, we argue and show that a novel DeepMapping abstraction, which relies on the impressive memorization…

Databases · Computer Science 2024-09-27 Lixi Zhou , K. Selçuk Candan , Jia Zou

Deep neural network models have a complex architecture and are overparameterized. The number of parameters is more than the whole dataset, which is highly resource-consuming. This complicates their application and limits its usage on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Vasiliy Alekseev , Ilya Lukashevich , Ilia Zharikov , Ilya Vasiliev

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

In large-scale, data-driven applications, parameters are often only known approximately due to noise and limited data samples. In this paper, we focus on high-dimensional optimization problems with linear constraints under uncertain…

Optimization and Control · Mathematics 2024-03-01 Naqi Huang , Nestor Parolya , Theresia van Essen

Recent progress in deep learning has been driven by increasingly larger models. However, their computational and energy demands have grown proportionally, creating significant barriers to their deployment and to a wider adoption of deep…

Machine Learning · Computer Science 2025-09-16 Pedro Savarese

A common practice in most of deep convolutional neural architectures is to employ fully-connected layers followed by Softmax activation to minimize cross-entropy loss for the sake of classification. Recent studies show that substitution or…

Machine Learning · Computer Science 2017-10-23 Arash Shahriari

We propose a new methodology for parameterized constrained robust optimization, an important class of optimization problems under uncertainty, based on learning with a self-supervised penalty-based loss function. Whereas supervised learning…

Optimization and Control · Mathematics 2025-03-10 Wyame Benslimane , Paul Grigas

The performance of many algorithms in the fields of hard combinatorial problem solving, machine learning or AI in general depends on tuned hyperparameter configurations. Automated methods have been proposed to alleviate users from the…

Machine Learning · Computer Science 2019-08-23 André Biedenkapp , H. Furkan Bozkurt , Frank Hutter , Marius Lindauer