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Stochastic optimization lies at the heart of machine learning, and its cornerstone is stochastic gradient descent (SGD), a method introduced over 60 years ago. The last 8 years have seen an exciting new development: variance reduction (VR)…

机器学习 · 计算机科学 2020-10-05 Robert M. Gower , Mark Schmidt , Francis Bach , Peter Richtarik

Quantifying the value of data within a machine learning workflow can play a pivotal role in making more strategic decisions in machine learning initiatives. The existing Shapley value based frameworks for data valuation in machine learning…

机器学习 · 计算机科学 2024-07-10 Ayush K Tarun , Vikram S Chundawat , Murari Mandal , Hong Ming Tan , Bowei Chen , Mohan Kankanhalli

Class imbalanced datasets are common in real-world applications that range from credit card fraud detection to rare disease diagnostics. Several popular classification algorithms assume that classes are approximately balanced, and hence…

Singular Value Decomposition (SVD) is a well studied research topic in many fields and applications from data mining to image processing. Data arising from these applications can be represented as a matrix where it is large and sparse. Most…

机器学习 · 计算机科学 2020-09-22 Resul Tugay , Sule Gunduz Oguducu

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

统计方法学 · 统计学 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

Computing the exact likelihood of data in large Bayesian networks consisting of thousands of vertices is often a difficult task. When these models contain many deterministic conditional probability tables and when the observed values are…

统计计算 · 统计学 2012-06-26 Ydo Wexler , Dan Geiger

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of…

计算金融 · 定量金融 2026-04-14 Stéphane Crépey , Noufel Frikha , Azar Louzi

Connections created from a node-edge matrix have been traditionally difficult to visualize and analyze because of the number of flows to be rendered in a limited feature or cartographic space. Because analyzing connectivity patterns is…

数据分析、统计与概率 · 物理学 2011-02-25 C. Andris

Shapley values have several desirable, theoretically well-supported, properties for explaining black-box model predictions. Traditionally, Shapley values are computed post-hoc, leading to additional computational cost at inference time. To…

机器学习 · 计算机科学 2025-07-16 Amr Alkhatib , Roman Bresson , Henrik Boström , Michalis Vazirgiannis

We propose the Value Gradient Sampler (VGS), a diffusion sampler parameterized by value functions. VGS generates samples from an unnormalized target density (i.e., energy) by evolving randomly initialized particles along the gradient of the…

Shapley values have emerged as a widely accepted and trustworthy tool, grounded in theoretical axioms, for addressing challenges posed by black-box models like deep neural networks. However, computing Shapley values encounters exponential…

机器学习 · 计算机科学 2024-05-24 Borui Zhang , Baotong Tian , Wenzhao Zheng , Jie Zhou , Jiwen Lu

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

统计方法学 · 统计学 2019-11-25 Anirban Mondal , Abhijit Mandal

Feature selection is a classical problem in statistics and machine learning, and it continues to remain an extremely challenging problem especially in the context of unknown non-linear relationships with dependent features. On the other…

机器学习 · 统计学 2026-04-17 Chenghui Zheng , Garvesh Raskutti

In modern data analysis, random sampling is an efficient and widely-used strategy to overcome the computational difficulties brought by large sample size. In previous studies, researchers conducted random sampling which is according to the…

机器学习 · 统计学 2018-03-05 Rong Zhu

Variance reduction (VR) techniques have contributed significantly to accelerating learning with massive datasets in the smooth and strongly convex setting (Schmidt et al., 2017; Johnson & Zhang, 2013; Roux et al., 2012). However, such…

机器学习 · 计算机科学 2021-11-24 Lionel Tondji , Sergii Kashubin , Moustapha Cisse

A major hurdle in machine learning is scalability to massive datasets. Approaches to overcome this hurdle include compression of the data matrix and distributing the computations. \textit{Leverage score sampling} provides a compressed…

信息论 · 计算机科学 2020-09-16 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Decentralized optimization is critical for solving large-scale machine learning problems over distributed networks, where multiple nodes collaborate through local communication. In practice, the variances of stochastic gradient estimators…

最优化与控制 · 数学 2026-02-13 Hongxu Chen , Ke Wei , Luo Luo

This paper studies the problem of data collection for policy evaluation in Markov decision processes (MDPs). In policy evaluation, we are given a target policy and asked to estimate the expected cumulative reward it will obtain in an…

机器学习 · 计算机科学 2022-06-22 Subhojyoti Mukherjee , Josiah P. Hanna , Robert Nowak

With increasing computing capabilities of modern supercomputers, the size of the data generated from the scientific simulations is growing rapidly. As a result, application scientists need effective data summarization techniques that can…

人机交互 · 计算机科学 2019-07-30 Soumya Dutta , Ayan Biswas , James Ahrens

Segmentation is the identification of anatomical regions of interest, such as organs, tissue, and lesions, serving as a fundamental task in computer-aided diagnosis in medical imaging. Although deep learning models have achieved remarkable…

图像与视频处理 · 电气工程与系统科学 2025-12-09 Tianyi Ren , Daniel Low , Pittra Jaengprajak , Juampablo Heras Rivera , Jacob Ruzevick , Mehmet Kurt