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Given $n$ elements, an integer $k$ and a parameter $\varepsilon$, we study to select an element with rank in $(k-n\varepsilon,k+n\varepsilon]$ using unreliable comparisons where the outcome of each comparison is incorrect independently with…

Data Structures and Algorithms · Computer Science 2022-05-04 Shengyu Huang , Chih-Hung Liu , Daniel Rutschman

High-dimensional, low sample-size (HDLSS) data problems have been a topic of immense importance for the last couple of decades. There is a vast literature that proposed a wide variety of approaches to deal with this situation, among which…

Methodology · Statistics 2021-07-09 Kaixu Yang , Tapabrata Maiti

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

Deep neural networks (DNN) has received increasing attention in machine learning applications in the last several years. Recently, a non-asymptotic error bound has been developed to measure the performance of the fully connected DNN…

Machine Learning · Statistics 2024-05-15 Kejin Wu , Dimitris N. Politis

Predictions and generations from large language models are increasingly being explored as an aid in limited data regimes, such as in computational social science and human subjects research. While prior technical work has mainly explored…

Machine Learning · Computer Science 2025-10-09 Yewon Byun , Shantanu Gupta , Zachary C. Lipton , Rachel Leah Childers , Bryan Wilder

Large Language Models can generate synthetic survey responses at low cost, but their accuracy varies unpredictably across questions. We study the design problem of allocating a fixed budget of human respondents across estimation tasks when…

Artificial Intelligence · Computer Science 2026-04-21 Zikun Ye , Hema Yoganarasimhan

A central issue of many statistical learning problems is to select an appropriate model from a set of candidate models. Large models tend to inflate the variance (or overfitting), while small models tend to cause biases (or underfitting)…

Statistics Theory · Mathematics 2020-12-25 Jie Ding , Enmao Diao , Jiawei Zhou , Vahid Tarokh

Locally adapted parameterizations of a model (such as locally weighted regression) are expressive but often suffer from high variance. We describe an approach for reducing the variance, based on the idea of estimating simultaneously a…

Machine Learning · Computer Science 2012-07-03 Doina Precup , Philip Bachman

We introduce a tensor-based model of shared representation for meta-learning from a diverse set of tasks. Prior works on learning linear representations for meta-learning assume that there is a common shared representation across different…

Machine Learning · Computer Science 2022-01-20 Samuel Deng , Yilin Guo , Daniel Hsu , Debmalya Mandal

Deciding what to sense is a crucial task, made harder by dependencies and by a nonadditive utility function. We develop approximation algorithms for selecting an optimal set of measurements, under a dependency structure modeled by a…

Artificial Intelligence · Computer Science 2012-06-18 Yan Radovilsky , Solomon Eyal Shimony

We initiate a broad study of classical problems in the streaming model with insertions and deletions in the setting where we allow the approximation factor $\alpha$ to be much larger than $1$. Such algorithms can use significantly less…

Data Structures and Algorithms · Computer Science 2022-07-19 Yi Li , Honghao Lin , David P. Woodruff , Yuheng Zhang

Time series forecasting involves collecting and analyzing past observations to develop a model to extrapolate such observations into the future. Forecasting of future events is important in many fields to support decision making as it…

Machine Learning · Computer Science 2020-09-22 Igor Ilic , Berk Gorgulu , Mucahit Cevik , Mustafa Gokce Baydogan

Deep models are designed to operate on huge volumes of high dimensional data such as images. In order to reduce the volume of data these models must process, we propose a set-based two-stage end-to-end neural subsampling model that is…

Machine Learning · Computer Science 2022-05-31 Bruno Andreis , Seanie Lee , A. Tuan Nguyen , Juho Lee , Eunho Yang , Sung Ju Hwang

Collaborative learning through latent shared feature representations enables heterogeneous clients to train personalized models with improved performance and reduced sample complexity. Despite empirical success and extensive study, the…

Machine Learning · Computer Science 2025-11-25 Xiaochun Niu , Lili Su , Jiaming Xu , Pengkun Yang

We show that $n$-variable tree-structured Ising models can be learned computationally-efficiently to within total variation distance $\epsilon$ from an optimal $O(n \ln n/\epsilon^2)$ samples, where $O(\cdot)$ hides an absolute constant…

Machine Learning · Computer Science 2020-12-01 Constantinos Daskalakis , Qinxuan Pan

The problem of robust mean estimation in high dimensions is studied, in which a certain fraction (less than half) of the datapoints can be arbitrarily corrupted. Motivated by compressive sensing, the robust mean estimation problem is…

Applications · Statistics 2022-12-08 Aditya Deshmukh , Jing Liu , Venugopal V. Veeravalli

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

Machine Learning · Computer Science 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

Subset selection from massive data with noised information is increasingly popular for various applications. This problem is still highly challenging as current methods are generally slow in speed and sensitive to outliers. To address the…

Machine Learning · Computer Science 2014-11-18 Feiyun Zhu , Bin Fan , Xinliang Zhu , Ying Wang , Shiming Xiang , Chunhong Pan

Existing work on understanding deep learning often employs measures that compress all data-dependent information into a few numbers. In this work, we adopt a perspective based on the role of individual examples. We introduce a measure of…

Machine Learning · Computer Science 2021-06-21 Robert J. N. Baldock , Hartmut Maennel , Behnam Neyshabur

We present a theoretically well-founded deep learning algorithm for nonparametric regression. It uses over-parametrized deep neural networks with logistic activation function, which are fitted to the given data via gradient descent. We…

Statistics Theory · Mathematics 2025-04-14 Michael Kohler , Adam Krzyzak