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Uniform sampling of training data has been commonly used in traditional stochastic optimization algorithms such as Proximal Stochastic Gradient Descent (prox-SGD) and Proximal Stochastic Dual Coordinate Ascent (prox-SDCA). Although uniform…

机器学习 · 统计学 2015-01-05 Peilin Zhao , Tong Zhang

This paper presents a methodology for selecting the mini-batch size that minimizes Stochastic Gradient Descent (SGD) learning time for single and multiple learner problems. By decoupling algorithmic analysis issues from hardware and…

We present a determinantal point process (DPP) inspired alternative to non-maximum suppression (NMS) which has become an integral step in all state-of-the-art object detection frameworks. DPPs have been shown to encourage diversity in…

计算机视觉与模式识别 · 计算机科学 2024-06-21 Samik Some , Mithun Das Gupta , Vinay P. Namboodiri

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains…

机器学习 · 计算机科学 2025-11-19 Takuro Kutsuna

Determinantal point processes (DPPs) are distributions over sets of items that model diversity using kernels. Their applications in machine learning include summary extraction and recommendation systems. Yet, the cost of sampling from a DPP…

机器学习 · 统计学 2022-03-22 Guillaume Gautier , Rémi Bardenet , Michal Valko

Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that arise in quantum physics and random matrix theory. In contrast to traditional structured models like Markov random fields, which become intractable and…

机器学习 · 统计学 2013-01-11 Alex Kulesza , Ben Taskar

We propose a new stochastic optimization framework for empirical risk minimization problems such as those that arise in machine learning. The traditional approaches, such as (mini-batch) stochastic gradient descent (SGD), utilize an…

机器学习 · 统计学 2020-02-04 Kenji Kawaguchi , Haihao Lu

Sharpness-aware Minimization (SAM) has been proposed recently to improve model generalization ability. However, SAM calculates the gradient twice in each optimization step, thereby doubling the computation costs compared to stochastic…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Tian Wang

Machine learning models trained with \emph{stochastic} gradient descent (SGD) can generalize better than those trained with deterministic gradient descent (GD). In this work, we study SGD's impact on generalization through the lens of the…

机器学习 · 计算机科学 2025-12-09 Hongjian Lan , Yucong Liu , Florian Schäfer

A determinantal point process (DPP) on a collection of $M$ items is a model, parameterized by a symmetric kernel matrix, that assigns a probability to every subset of those items. Recent work shows that removing the kernel symmetry…

机器学习 · 计算机科学 2022-04-21 Insu Han , Mike Gartrell , Jennifer Gillenwater , Elvis Dohmatob , Amin Karbasi

In this dissertation we propose alternative analysis of distributed stochastic gradient descent (SGD) algorithms that rely on spectral properties of the data covariance. As a consequence we can relate questions pertaining to speedups and…

最优化与控制 · 数学 2016-09-03 Avleen S. Bijral

Self-paced learning and hard example mining re-weight training instances to improve learning accuracy. This paper presents two improved alternatives based on lightweight estimates of sample uncertainty in stochastic gradient descent (SGD):…

机器学习 · 统计学 2018-01-09 Haw-Shiuan Chang , Erik Learned-Miller , Andrew McCallum

Distance metric learning (DML) is an important task that has found applications in many domains. The high computational cost of DML arises from the large number of variables to be determined and the constraint that a distance metric has to…

机器学习 · 计算机科学 2013-04-05 Qi Qian , Rong Jin , Jinfeng Yi , Lijun Zhang , Shenghuo Zhu

Accelerated coordinate descent is a widely popular optimization algorithm due to its efficiency on large-dimensional problems. It achieves state-of-the-art complexity on an important class of empirical risk minimization problems. In this…

最优化与控制 · 数学 2018-10-01 Filip Hanzely , Peter Richtárik

Mini-batch algorithms have been proposed as a way to speed-up stochastic convex optimization problems. We study how such algorithms can be improved using accelerated gradient methods. We provide a novel analysis, which shows how standard…

机器学习 · 计算机科学 2011-06-24 Andrew Cotter , Ohad Shamir , Nathan Srebro , Karthik Sridharan

Determinantal point processes (DPPs) have received significant attention as an elegant probabilistic model for discrete subset selection. Most prior work on DPP learning focuses on maximum likelihood estimation (MLE). While efficient and…

机器学习 · 计算机科学 2020-11-20 Lucas Anquetil , Mike Gartrell , Alain Rakotomamonjy , Ugo Tanielian , Clément Calauzènes

Determinantal point processes (DPPs) have emerged as a kernelized alternative to vanilla independent sampling for generating efficient minibatches, coresets and other parsimonious representations of large-scale datasets. While theoretical…

机器学习 · 统计学 2026-05-14 Hoang-Son Tran , Pranav Gupta , Rémi Bardenet , Subhroshekhar Ghosh

In high dimensions, most machine learning method perform fragile even there are a little outliers. To address this, we hope to introduce a new method with the base learner, such as Bayesian regression or stochastic gradient descent to solve…

机器学习 · 计算机科学 2022-06-16 Hanming Wang , Haozheng Luo , Yue Wang

This paper considers a class of constrained stochastic composite optimization problems whose objective function is given by the summation of a differentiable (possibly nonconvex) component, together with a certain non-differentiable (but…

最优化与控制 · 数学 2013-09-06 Saeed Ghadimi , Guanghui Lan , Hongchao Zhang

Gaussian Process bandit optimization has emerged as a powerful tool for optimizing noisy black box functions. One example in machine learning is hyper-parameter optimization where each evaluation of the target function requires training a…

机器学习 · 计算机科学 2016-11-15 Tarun Kathuria , Amit Deshpande , Pushmeet Kohli