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This paper investigates a statistical procedure for testing the equality of two independent estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

统计理论 · 数学 2020-03-09 Rémy Mariétan , Stephan Morgenthaler

Mass cytometry technology enables the simultaneous measurement of over 40 proteins on single cells. This has helped immunologists to increase their understanding of heterogeneity, complexity, and lineage relationships of white blood cells.…

The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is determined by Monte Carlo simulation for a number…

chao-dyn · 物理学 2009-10-31 Thomas Schreiber , Andreas Schmitz

Online changepoint detection algorithms that are based on likelihood-ratio tests have been shown to have excellent statistical properties. However, a simple online implementation is computationally infeasible as, at time $T$, it involves…

统计计算 · 统计学 2023-02-10 Kes Ward , Gaetano Romano , Idris Eckley , Paul Fearnhead

Identifying the relevant variables for a classification model with correct confidence levels is a central but difficult task in high-dimension. Despite the core role of sparse logistic regression in statistics and machine learning, it still…

机器学习 · 统计学 2022-05-31 Binh T. Nguyen , Bertrand Thirion , Sylvain Arlot

Test-time scaling is a powerful strategy for boosting the performance of large language models on complex reasoning tasks. While state-of-the-art approaches often employ generative verifiers to select the best solution from a pool of…

人工智能 · 计算机科学 2025-10-17 Kyle Montgomery , Sijun Tan , Yuqi Chen , Siyuan Zhuang , Tianjun Zhang , Raluca Ada Popa , Chenguang Wang

This work aims to improve the sample efficiency of parallel large-scale ranking and selection (R&S) problems by leveraging correlation information. We modify the commonly used "divide and conquer" framework in parallel computing by adding a…

统计方法学 · 统计学 2026-02-16 Zishi Zhang , Yijie Peng

Several problems in statistics involve the combination of high-variance unbiased estimators with low-variance estimators that are only unbiased under strong assumptions. A notable example is the estimation of causal effects while combining…

统计方法学 · 统计学 2023-05-25 Michael Oberst , Alexander D'Amour , Minmin Chen , Yuyan Wang , David Sontag , Steve Yadlowsky

Identifying leading measurement units from a large collection is a common inference task in various domains of large-scale inference. Testing approaches, which measure evidence against a null hypothesis rather than effect magnitude, tend to…

统计方法学 · 统计学 2020-11-17 Nicholas C. Henderson , Michael A. Newton

Given $m$ $d$-dimensional responsors and $n$ $d$-dimensional predictors, sparse regression finds at most $k$ predictors for each responsor for linear approximation, $1\leq k \leq d-1$. The key problem in sparse regression is subset…

机器学习 · 计算机科学 2020-11-25 Jianji Wang , Qi Liu , Shupei Zhang , Nanning Zheng , Fei-Yue Wang

Accurate assessment of systematic uncertainties is an increasingly vital task in physics studies, where large, high-dimensional datasets, like those collected at the Large Hadron Collider, hold the key to new discoveries. Common approaches…

统计方法学 · 统计学 2025-10-02 Alexis Romero , Kyle Cranmer , Daniel Whiteson

We present new, more efficient algorithms for estimating random walk scores such as Personalized PageRank from a given source node to one or several target nodes. These scores are useful for personalized search and recommendations on…

数据结构与算法 · 计算机科学 2015-12-16 Peter Lofgren

This paper tackles the challenge of performing multiple quantile regressions across different quantile levels and the associated problem of controlling the familywise error rate, an issue that is generally overlooked in practice. We propose…

统计方法学 · 统计学 2026-04-10 Riccardo De Santis , Anna Vesely , Angela Andreella

Due to the potential benefits of parallelization, designing unbiased Monte Carlo estimators, primarily in the setting of randomized multilevel Monte Carlo, has recently become very popular in operations research and computational…

统计计算 · 统计学 2024-04-03 Guanyang Wang , Jose Blanchet , Peter W. Glynn

Cumulative probability models (CPMs) are a robust alternative to linear models for continuous outcomes. However, they are not feasible for very large datasets due to elevated running time and memory usage, which depend on the sample size,…

统计计算 · 统计学 2022-07-15 Chun Li , Guo Chen , Bryan E. Shepherd

Binary classification involves predicting the label of an instance based on whether the model score for the positive class exceeds a threshold chosen based on the application requirements (e.g., maximizing recall for a precision bound).…

机器学习 · 计算机科学 2023-11-21 Gundeep Arora , Srujana Merugu , Anoop Saladi , Rajeev Rastogi

With the increasing size of today's data sets, finding the right parameter configuration in model selection via cross-validation can be an extremely time-consuming task. In this paper we propose an improved cross-validation procedure which…

机器学习 · 计算机科学 2016-02-05 Tammo Krueger , Danny Panknin , Mikio Braun

The log-likelihood of a generative model often involves both positive and negative terms. For a temporal multivariate point process, the negative term sums over all the possible event types at each time and also integrates over all the…

机器学习 · 计算机科学 2020-11-03 Hongyuan Mei , Tom Wan , Jason Eisner

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models.…

统计方法学 · 统计学 2024-09-05 Wentao Li , Rosabeth White , Dennis Prangle

While active learning offers potential cost savings, the actual data efficiency---the reduction in amount of labeled data needed to obtain the same error rate---observed in practice is mixed. This paper poses a basic question: when is…

机器学习 · 计算机科学 2018-06-19 Stephen Mussmann , Percy Liang
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