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We describe a general technique that yields the first {\em Statistical Query lower bounds} for a range of fundamental high-dimensional learning problems involving Gaussian distributions. Our main results are for the problems of (1) learning…

机器学习 · 计算机科学 2017-05-18 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

Linear regression without correspondences is the problem of performing a linear regression fit to a dataset for which the correspondences between the independent samples and the observations are unknown. Such a problem naturally arises in…

机器学习 · 计算机科学 2019-10-07 Manolis C. Tsakiris , Liangzu Peng , Aldo Conca , Laurent Kneip , Yuanming Shi , Hayoung Choi

Imbalanced classification is a significant challenge in machine learning, especially in critical applications like medical diagnosis, fraud detection, and cybersecurity. Traditional oversampling techniques, such as SMOTE, often fail to…

机器学习 · 计算机科学 2025-09-16 Mahabubur Rahman Miraj , Hongyu Huang , Ting Yang , Jinxue Zhao , Nankun Mu , Xinyu Lei

Gaussian processes (GPs) are non-parametric probabilistic regression models that are popular due to their flexibility, data efficiency, and well-calibrated uncertainty estimates. However, standard GP models assume homoskedastic Gaussian…

机器学习 · 计算机科学 2025-01-08 Sebastian Ament , Elizabeth Santorella , David Eriksson , Ben Letham , Maximilian Balandat , Eytan Bakshy

Gaussian Process (GP) regression is a powerful nonparametric Bayesian framework, but its performance depends critically on the choice of covariance kernel. Selecting an appropriate kernel is therefore central to model quality, yet remains…

机器学习 · 计算机科学 2026-01-14 Md Shafiqul Islam , Shakti Prasad Padhy , Douglas Allaire , Raymundo Arróyave

Finding dense subgraphs of a large graph is a standard problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications. In this paper we introduce a new family of dense…

数据结构与算法 · 计算机科学 2021-06-07 Nate Veldt , Austin R. Benson , Jon Kleinberg

Visual token compression is critical for Large Vision-Language Models (LVLMs) to efficiently process high-resolution inputs. Existing methods that typically adopt fixed compression ratios cannot adapt to scenes of varying complexity, often…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Quan-Sheng Zeng , Yunheng Li , Qilong Wang , Peng-Tao Jiang , Zuxuan Wu , Ming-Ming Cheng , Qibin Hou

Clustering and estimating cluster means are core problems in statistics and machine learning, with k-means and Expectation Maximization (EM) being two widely used algorithms. In this work, we provide a theoretical explanation for the…

机器学习 · 统计学 2025-06-19 David Silva-Sánchez , Roy R. Lederman

Modern datasets span billions of samples, making training on all available data infeasible. Selecting a high quality subset helps in reducing training costs and enhancing model quality. Submodularity, a discrete analogue of convexity, is…

机器学习 · 计算机科学 2025-04-04 Maximilian Böther , Abraham Sebastian , Pranjal Awasthi , Ana Klimovic , Srikumar Ramalingam

We give a polynomial-time algorithm for the problem of robustly estimating a mixture of $k$ arbitrary Gaussians in $\mathbb{R}^d$, for any fixed $k$, in the presence of a constant fraction of arbitrary corruptions. This resolves the main…

数据结构与算法 · 计算机科学 2021-06-08 Ainesh Bakshi , Ilias Diakonikolas , He Jia , Daniel M. Kane , Pravesh K. Kothari , Santosh S. Vempala

Image segmentation is a fundamental step for the interpretation of Remote Sensing Images. Clustering or segmentation methods usually precede the classification task and are used as support tools for manual labeling. The most common…

计算机视觉与模式识别 · 计算机科学 2022-03-08 Kiran Mantripragada , Faisal Z. Qureshi

We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

统计理论 · 数学 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

To reduce computational overhead while maintaining model performance, model pruning techniques have been proposed. Among these, structured pruning, which removes entire convolutional channels or layers, significantly enhances computational…

计算机视觉与模式识别 · 计算机科学 2024-11-21 Qingsong Lv , Jiasheng Sun , Sheng Zhou , Xu Zhang , Liangcheng Li , Yun Gao , Sun Qiao , Jie Song , Jiajun Bu

This paper investigates methods for improving generative data augmentation for deep learning. Generative data augmentation leverages the synthetic samples produced by generative models as an additional dataset for classification with small…

机器学习 · 计算机科学 2023-10-24 Shin'ya Yamaguchi , Daiki Chijiwa , Sekitoshi Kanai , Atsutoshi Kumagai , Hisashi Kashima

Weight pruning is an effective model compression technique to tackle the challenges of achieving real-time deep neural network (DNN) inference on mobile devices. However, prior pruning schemes have limited application scenarios due to…

机器学习 · 计算机科学 2022-03-29 Yifan Gong , Geng Yuan , Zheng Zhan , Wei Niu , Zhengang Li , Pu Zhao , Yuxuan Cai , Sijia Liu , Bin Ren , Xue Lin , Xulong Tang , Yanzhi Wang

We propose a novel theoretical and methodological framework for Gaussian process regression subject to privacy constraints. The proposed method can be used when a data owner is unwilling to share a high-fidelity supervised learning model…

机器学习 · 计算机科学 2025-10-14 Rui Tuo , Haoyuan Chen , Raktim Bhattacharya

Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems. In contrast to priors given by sparsity, deep models can provide direct low-dimensional…

最优化与控制 · 数学 2018-12-12 Wen Huang , Paul Hand , Reinhard Heckel , Vladislav Voroninski

The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to the vast amount of parameters that characterize model…

机器学习 · 计算机科学 2026-02-25 Enrico Ballini , Luca Muscarnera , Alessio Fumagalli , Anna Scotti , Francesco Regazzoni

The great success of modern machine learning models on large datasets is contingent on extensive computational resources with high financial and environmental costs. One way to address this is by extracting subsets that generalize on par…

机器学习 · 计算机科学 2021-06-15 Krishnateja Killamsetty , Durga Sivasubramanian , Ganesh Ramakrishnan , Abir De , Rishabh Iyer