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We consider online prediction of a binary sequence with expert advice. For this setting, we devise label-efficient forecasting algorithms, which use a selective sampling scheme that enables collecting much fewer labels than standard…

机器学习 · 统计学 2023-10-23 Rui M. Castro , Fredrik Hellström , Tim van Erven

We consider a high-dimensional regression model with a possible change-point due to a covariate threshold and develop the Lasso estimator of regression coefficients as well as the threshold parameter. Our Lasso estimator not only selects…

统计理论 · 数学 2019-08-23 Sokbae Lee , Myung Hwan Seo , Youngki Shin

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

计量经济学 · 经济学 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

We propose a new model for augmenting algorithms with predictions by requiring that they are formally learnable and instance robust. Learnability ensures that predictions can be efficiently constructed from a reasonable amount of past data.…

机器学习 · 计算机科学 2021-07-05 Thomas Lavastida , Benjamin Moseley , R. Ravi , Chenyang Xu

Robust Ordinal Regression (ROR) is a way of dealing with Multiple Criteria Decision Aiding (MCDA), by considering all sets of parameters of an assumed preference model, that are compatible with preference information given by the Decision…

最优化与控制 · 数学 2012-06-28 Salvatore Corrente , Salvatore Greco , Roman Slowinski

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

统计理论 · 数学 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

The Neural Autoregressive Distribution Estimator (NADE) and its real-valued version RNADE are competitive density models of multidimensional data across a variety of domains. These models use a fixed, arbitrary ordering of the data…

机器学习 · 统计学 2014-01-14 Benigno Uria , Iain Murray , Hugo Larochelle

We consider training decision trees using noisily labeled data, focusing on loss functions that can lead to robust learning algorithms. Our contributions are threefold. First, we offer novel theoretical insights on the robustness of many…

机器学习 · 计算机科学 2024-01-24 Jonathan Wilton , Nan Ye

Modern applications require methods that are computationally feasible on large datasets but also preserve statistical efficiency. Frequently, these two concerns are seen as contradictory: approximation methods that enable computation are…

统计方法学 · 统计学 2021-06-11 Darren Homrighausen , Daniel J. McDonald

When estimating causal effects from observational data with numerous covariates, employing penalized covariate selection can improve the estimation efficiency. Outcome-oriented covariate selection, which involves selecting covariates…

统计方法学 · 统计学 2025-01-14 Wataru Hongo , Shuji Ando , Jun Tsuchida , Takashi Sozu

Additive models belong to the class of structured nonparametric regression models that do not suffer from the curse of dimensionality. Finding the additive components that are nonzero when the true model is assumed to be sparse is an…

统计方法学 · 统计学 2025-05-08 Suneel Babu Chatla , Abhijit Mandal

We consider a flexible semiparametric quantile regression model for analyzing high dimensional heterogeneous data. This model has several appealing features: (1) By considering different conditional quantiles, we may obtain a more complete…

统计理论 · 数学 2016-01-25 Ben Sherwood , Lan Wang

We observe a $n$-sample, the distribution of which is assumed to belong, or at least to be close enough, to a given mixture model. We propose an estimator of this distribution that belongs to our model and possesses some robustness…

统计理论 · 数学 2025-02-06 Alexandre Lecestre

In this paper, we study the trace regression when a matrix of parameters B* is estimated via the convex relaxation of a rank-regularized regression or via regularized non-convex optimization. It is known that these estimators satisfy…

机器学习 · 计算机科学 2023-08-31 Nima Hamidi , Mohsen Bayati

Quantile regression has become a valuable tool to analyze heterogeneous covaraite-response associations that are often encountered in practice. The development of quantile regression methodology for high-dimensional covariates primarily…

统计方法学 · 统计学 2015-07-06 Qi Zheng , Limin Peng , Xuming He

Conformal prediction (CP) for regression can be challenging, especially when the output distribution is heteroscedastic, multimodal, or skewed. Some of the issues can be addressed by estimating a distribution over the output, but in…

机器学习 · 计算机科学 2024-04-15 Etash Guha , Shlok Natarajan , Thomas Möllenhoff , Mohammad Emtiyaz Khan , Eugene Ndiaye

Noise-contrastive estimation (NCE) is a statistically consistent method for learning unnormalized probabilistic models. It has been empirically observed that the choice of the noise distribution is crucial for NCE's performance. However,…

机器学习 · 计算机科学 2021-10-22 Bingbin Liu , Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

Recent studies have shown that deep neural networks are not well-calibrated and often produce over-confident predictions. The miscalibration issue primarily stems from using cross-entropy in classifications, which aims to align predicted…

机器学习 · 计算机科学 2025-02-05 Daehwan Kim , Haejun Chung , Ikbeom Jang

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

统计方法学 · 统计学 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

Penalization schemes like Lasso or ridge regression are routinely used to regress a response of interest on a high-dimensional set of potential predictors. Despite being decisive, the question of the relative strength of penalization is…

统计方法学 · 统计学 2018-11-08 Britta Velten , Wolfgang Huber
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