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Abstract. The advancement of deep learning has coincided with the proliferation of both models and available data. The surge in dataset sizes and the subsequent surge in computational requirements have led to the development of the Dataset…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Jun-Yeong Moon , Jung Uk Kim , Gyeong-Moon Park

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

Optimization and Control · Mathematics 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Large machine-learning training datasets can be distilled into small collections of informative synthetic data samples. These synthetic sets support efficient model learning and reduce the communication cost of data sharing. Thus,…

Machine Learning · Computer Science 2024-08-13 William Holland , Chandra Thapa , Sarah Ali Siddiqui , Wei Shao , Seyit Camtepe

The motivation for this paper stems from the desire to develop an adaptive sampling method for solving constrained optimization problems in which the objective function is stochastic and the constraints are deterministic. The method…

Optimization and Control · Mathematics 2021-01-01 Yuchen Xie , Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Dataset condensation aims to condense a large dataset with a lot of training samples into a small set. Previous methods usually condense the dataset into the pixels format. However, it suffers from slow optimization speed and large number…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 David Junhao Zhang , Heng Wang , Chuhui Xue , Rui Yan , Wenqing Zhang , Song Bai , Mike Zheng Shou

In this paper, we propose a new dataset distillation method that considers balancing global structure and local details when distilling the information from a large dataset into a generative model. Dataset distillation has been proposed to…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Longzhen Li , Guang Li , Ren Togo , Keisuke Maeda , Takahiro Ogawa , Miki Haseyama

High-dimensional simulation optimization is notoriously challenging. We propose a new sampling algorithm that converges to a global optimal solution and suffers minimally from the curse of dimensionality. The algorithm consists of two…

Machine Learning · Statistics 2021-07-21 Liang Ding , Rui Tuo , Xiaowei Zhang

Large Language Models (LLMs) have recently emerged as effective surrogate models and candidate generators within global optimization frameworks for expensive blackbox functions. Despite promising results, LLM-based methods often struggle in…

Machine Learning · Computer Science 2026-01-28 Andrej Schwanke , Lyubomir Ivanov , David Salinas , Fabio Ferreira , Aaron Klein , Frank Hutter , Arber Zela

Although deep learning has achieved appealing results on several machine learning tasks, most of the models are deterministic at inference, limiting their application to single-modal settings. We propose a novel general-purpose framework…

Machine Learning · Computer Science 2020-10-12 Sameera Ramasinghe , Kanchana Ranasinghe , Salman Khan , Nick Barnes , Stephen Gould

A wide variety of optimization techniques, both exact and heuristic, tend to be biased samplers. This means that when attempting to find multiple uncorrelated solutions of a degenerate Boolean optimization problem a subset of the solution…

Disordered Systems and Neural Networks · Physics 2019-05-14 Andrew J. Ochoa , Darryl C. Jacob , Salvatore Mandrà , Helmut G. Katzgraber

Latent variable models are widely used in social and behavioural sciences, including education, psychology, and political science. With the increasing availability of large and complex datasets, high-dimensional latent variable models have…

Computation · Statistics 2025-12-09 Motonori Oka , Yunxiao Chen , Irini Moustaki

Extreme learning machine (ELM) is an extremely fast learning method and has a powerful performance for pattern recognition tasks proven by enormous researches and engineers. However, its good generalization ability is built on large numbers…

Machine Learning · Computer Science 2015-02-05 Wentao Zhu , Jun Miao , Laiyun Qing

Stochastic Gradient Descent (SGD) has proven to be remarkably effective in optimizing deep neural networks that employ ever-larger numbers of parameters. Yet, improving the efficiency of large-scale optimization remains a vital and highly…

Machine Learning · Computer Science 2020-11-11 Frithjof Gressmann , Zach Eaton-Rosen , Carlo Luschi

Diffusion models have attained prominence for their ability to synthesize a probability distribution for a given dataset via a diffusion process, enabling the generation of new data points with high fidelity. However, diffusion processes…

Machine Learning · Computer Science 2024-11-25 Shervin Khalafi , Dongsheng Ding , Alejandro Ribeiro

Generative molecular optimization aims to design molecules with properties surpassing those of existing compounds. However, such candidates are rare and expensive to evaluate, yielding sample efficiency essential. Additionally, surrogate…

We analyse a general class of bilevel problems, in which the upper-level problem consists in the minimization of a smooth objective function and the lower-level problem is to find the fixed point of a smooth contraction map. This type of…

Machine Learning · Statistics 2023-11-17 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

Optimization and Control · Mathematics 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

Many important problems in science and engineering, such as drug design, involve optimizing an expensive black-box objective function over a complex, high-dimensional, and structured input space. Although machine learning techniques have…

Machine Learning · Computer Science 2020-10-27 Austin Tripp , Erik Daxberger , José Miguel Hernández-Lobato

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

Optimization and Control · Mathematics 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

Machine Learning · Statistics 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete