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Training state-of-the-art ASR systems such as RNN-T often has a high associated financial and environmental cost. Training with a subset of training data could mitigate this problem if the subset selected could achieve on-par performance…

机器学习 · 计算机科学 2022-11-01 Ashish Mittal , Durga Sivasubramanian , Rishabh Iyer , Preethi Jyothi , Ganesh Ramakrishnan

In this paper, we study the problem of estimating latent variable models with arbitrarily corrupted samples in high dimensional space ({\em i.e.,} $d\gg n$) where the underlying parameter is assumed to be sparse. Specifically, we propose a…

机器学习 · 统计学 2020-10-20 Di Wang , Xiangyu Guo , Shi Li , Jinhui Xu

We present \emph{Greedy Information Projection} (\textsc{GIP}), a principled framework for choosing training examples for large language model fine-tuning. \textsc{GIP} casts selection as maximizing mutual information between a subset of…

机器学习 · 计算机科学 2026-03-17 Victor Ye Dong , Kuan-Yun Lee , Jiamei Shuai , Shengfei Liu , Yi Liu , Jian Jiao

Large-scale subset selection asks for a small useful set of examples, features, sensors, seed users, or context passages from an enormous ground set. Submodular maximization is a canonical model for such diminishing-returns problems, but…

数据结构与算法 · 计算机科学 2026-05-07 Alan Kuhnle

We prove that some exact geometric pattern matching problems reduce in linear time to $k$-SUM when the pattern has a fixed size $k$. This holds in the real RAM model for searching for a similar copy of a set of $k\geq 3$ points within a set…

计算几何 · 计算机科学 2020-03-27 Boris Aronov , Jean Cardinal

Deep generative models can learn to generate realistic-looking images, but many of the most effective methods are adversarial and involve a saddlepoint optimization, which requires a careful balancing of training between a generator network…

机器学习 · 统计学 2020-02-18 Akash Srivastava , Kai Xu , Michael U. Gutmann , Charles Sutton

In this paper we develop the Greedy Recombination Interpolation Method (GRIM) for finding sparse approximations of functions initially given as linear combinations of some (large) number of simpler functions. In a similar spirit to the…

数值分析 · 数学 2024-03-11 Terry Lyons , Andrew D. McLeod

A major problem in data augmentation is to ensure that the generated new samples cover the search space. This is a challenging problem and requires exploration for data augmentation policies to ensure their effectiveness in covering the…

机器学习 · 计算机科学 2020-10-08 Alireza Naghizadeh , Mohammadsajad Abavisani , Dimitris N. Metaxas

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

Greedy Sampling Methods (GSMs) are widely used to construct approximate solutions of Configuration Optimization Problems (COPs), where a loss functional is minimized over finite configurations of points in a compact domain. While effective…

最优化与控制 · 数学 2026-01-09 Evie Nielen , Oliver Tse

We consider the semi-supervised clustering problem where crowdsourcing provides noisy information about the pairwise comparisons on a small subset of data, i.e., whether a sample pair is in the same cluster. We propose a new approach that…

机器学习 · 统计学 2018-10-30 Yucen Luo , Tian Tian , Jiaxin Shi , Jun Zhu , Bo Zhang

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

We study the problem of graph coarsening within the Gromov-Wasserstein geometry. Specifically, we propose two algorithms that leverage a novel representation of the distortion induced by merging pairs of nodes. The first method, termed…

机器学习 · 计算机科学 2025-11-13 Carlos A. Taveras , Santiago Segarra , César A. Uribe

MapReduce has become the de facto standard model for designing distributed algorithms to process big data on a cluster. There has been considerable research on designing efficient MapReduce algorithms for clustering, graph optimization, and…

数据结构与算法 · 计算机科学 2018-06-19 Nicholas J. A. Harvey , Christopher Liaw , Paul Liu

The objective of this paper is to define an effective strategy for building an ensemble of Genetic Programming (GP) models. Ensemble methods are widely used in machine learning due to their features: they average out biases, they reduce the…

神经与进化计算 · 计算机科学 2019-06-14 Mauro Castelli , Ivo Gonçalves , Luca Manzoni , Leonardo Vanneschi

Though very popular, it is well known that the EM for GMM algorithm suffers from non-Gaussian distribution shapes, outliers and high-dimensionality. In this paper, we design a new robust clustering algorithm that can efficiently deal with…

机器学习 · 统计学 2020-10-06 Violeta Roizman , Matthieu Jonckheere , Frédéric Pascal

Modern statistical applications involving large data sets have focused attention on statistical methodologies which are both efficient computationally and able to deal with the screening of large numbers of different candidate models. Here…

统计方法学 · 统计学 2014-02-26 David J. Nott , Minh-Ngoc Tran , Chenlei Leng

We study the problem of robust mean estimation and introduce a novel Hamming distance-based measure of distribution shift for coordinate-level corruptions. We show that this measure yields adversary models that capture more realistic…

机器学习 · 计算机科学 2021-06-14 Zifan Liu , Jongho Park , Theodoros Rekatsinas , Christos Tzamos

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

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

离散数学 · 计算机科学 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana