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We consider the problem of adaptation to the margin in binary classification. We suggest a penalized empirical risk minimization classifier that adaptively attains, up to a logarithmic factor, fast optimal rates of convergence for the…

统计理论 · 数学 2007-06-13 A. B. Tsybakov , S. A. van de Geer

We study super-resolution multi-reference alignment, the problem of estimating a signal from many circularly shifted, down-sampled, and noisy observations. We focus on the low SNR regime, and show that a signal in $\mathbb{R}^M$ is uniquely…

信息论 · 计算机科学 2020-11-10 Tamir Bendory , Ariel Jaffe , William Leeb , Nir Sharon , Amit Singer

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

统计理论 · 数学 2008-12-18 Olivier Lopez

We consider estimating an unknown signal, both blocky and sparse, which is corrupted by additive noise. We study three interrelated least squares procedures and their asymptotic properties. The first procedure is the fused lasso, put…

统计理论 · 数学 2009-08-31 Alessandro Rinaldo

To select outcomes for clinical trials testing experimental therapies for Huntington disease, a fatal neurodegenerative disorder, analysts model how potential outcomes change over time. Yet, subjects with Huntington disease are often…

统计方法学 · 统计学 2023-03-06 Kyle F. Grosser , Sarah C. Lotspeich , Tanya P. Garcia

We propose a penalized method for the least squares estimator of a multivariate concave regression function. This estimator is formulated as a quadratic programming (QP) problem with $O(n^2)$ constraints, where n is the number of…

统计计算 · 统计学 2016-08-16 Abolfazl Keshvari

Large outliers break down linear and nonlinear regression models. Robust regression methods allow one to filter out the outliers when building a model. By replacing the traditional least squares criterion with the least trimmed squares…

最优化与控制 · 数学 2012-06-07 Gleb Beliakov , Andrei Kelarev , John Yearwood

This paper proposes a novel, efficient transfer learning method, called Scalable Weight Reparametrization (SWR) that is efficient and effective for multiple downstream tasks. Efficient transfer learning involves utilizing a pre-trained…

机器学习 · 计算机科学 2023-02-28 Byeonggeun Kim , Jun-Tae Lee , Seunghan yang , Simyung Chang

This paper studies sparse linear regression analysis with outliers in the responses. A parameter vector for modeling outliers is added to the standard linear regression model and then the sparse estimation problem for both coefficients and…

统计理论 · 数学 2015-05-21 Shota Katayama , Hironori Fujisawa

To use historical controls for indirect comparison with single-arm trials, the population difference between data sources should be adjusted to reduce confounding bias. The adjustment is more difficult for time-to-event data with a cure…

统计方法学 · 统计学 2023-08-23 Jixian Wang , Hongtao Zhang , Ram Tiwari

Non-concave maximization has been the subject of much recent study in the optimization and machine learning communities, specifically in deep learning. Recent papers Ge et al, Lee et al (and references therein) indicate that first order…

最优化与控制 · 数学 2020-01-14 Ioannis Panageas , Georgios Piliouras , Xiao Wang

Censored quantile regression (CQR) has become a valuable tool to study the heterogeneous association between a possibly censored outcome and a set of covariates, yet computation and statistical inference for CQR have remained a challenge…

统计理论 · 数学 2022-10-25 Xuming He , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

Nearly all estimators in statistical prediction come with an associated tuning parameter, in one way or another. Common practice, given data, is to choose the tuning parameter value that minimizes a constructed estimate of the prediction…

统计理论 · 数学 2017-01-17 Ryan J. Tibshirani , Saharon Rosset

The problem of estimating censored linear regression models with autocorrelated errors arises in many environmental and social studies. The present work proposes a Bayesian approach to estimate censored regression models with AR(p) errors.…

统计方法学 · 统计学 2023-01-06 Rodney Sousa , Isabel Pereira , Maria Eduarda Silva , Brendan McCabe

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

机器学习 · 统计学 2020-01-13 Alexander Hanbo Li , Jelena Bradic

Elimination algorithms for bandit identification, which prune the plausible correct answers sequentially until only one remains, are computationally convenient since they reduce the problem size over time. However, existing elimination…

机器学习 · 计算机科学 2022-10-25 Andrea Tirinzoni , Rémy Degenne

Dataset bias is a critical challenge in machine learning since it often leads to a negative impact on a model due to the unintended decision rules captured by spurious correlations. Although existing works often handle this issue based on…

机器学习 · 计算机科学 2022-04-05 Seonguk Seo , Joon-Young Lee , Bohyung Han

In attempt to advance the current practice for assessing and predicting the primary ovarian insufficiency (POI) risk in female childhood cancer survivors, we propose two estimating function based approaches for age-specific logistic…

统计方法学 · 统计学 2026-03-31 Haoxuan , Zhou , X. Joan Hu , Yi Xiong , Yan Yuan

For linear inverse problems $Y=\mathsf{A}\mu+\xi$, it is classical to recover the unknown signal $\mu$ by iterative regularisation methods $(\widehat \mu^{(m)}, m=0,1,\ldots)$ and halt at a data-dependent iteration $\tau$ using some…

统计理论 · 数学 2017-10-27 Gilles Blanchard , Marc Hoffmann , Markus Reiß

Cohort studies of the onset of a disease often encounter left-truncation on the event time of interest in addition to right-censoring due to variable enrollment times of study participants. Analysis of such event time data can be biased if…

统计方法学 · 统计学 2025-04-11 Spencer Matthews , Bin Nan