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An important problem in statistics is the construction of confidence regions for unknown parameters. In most cases, asymptotic distribution theory is used to construct confidence regions, so any coverage probability claims only hold…

统计理论 · 数学 2014-10-28 Ryan Martin

We propose a new method to approximate the posterior distribution of probabilistic programs by means of computing guaranteed bounds. The starting point of our work is an interval-based trace semantics for a recursive, higher-order…

编程语言 · 计算机科学 2022-06-07 Raven Beutner , Luke Ong , Fabian Zaiser

Despite extensive research on neural network calibration, existing methods typically apply global transformations that treat all predictions uniformly, overlooking the heterogeneous reliability of individual predictions. Furthermore, the…

机器学习 · 计算机科学 2025-10-22 Hassan Gharoun , Mohammad Sadegh Khorshidi , Kasra Ranjbarigderi , Fang Chen , Amir H. Gandomi

Our confidence set quantifies the statistical uncertainty from data-driven group assignments in grouped panel models. It covers the true group memberships jointly for all units with pre-specified probability and is constructed by inverting…

计量经济学 · 经济学 2023-11-28 Andreas Dzemski , Ryo Okui

In multiple hypotheses testing it has become widely popular to make inference on the true discovery proportion (TDP) of a set $\mathcal{M}$ of null hypotheses. This approach is useful for several application fields, such as neuroimaging and…

统计方法学 · 统计学 2023-10-13 Friederike Preusse , Anna Vesely , Thorsten Dickhaus

Finding a better feasible solution in a shorter time is an integral part of solving Mixed Integer Programs. We present a post-hoc method based on Neural Diving to build heuristics more flexibly. We hypothesize that variables with higher…

最优化与控制 · 数学 2022-03-16 Taehyun Yoon

In high dimensional settings where a small number of regressors are expected to be important, the Lasso estimator can be used to obtain a sparse solution vector with the expectation that most of the non-zero coefficients are associated with…

机器学习 · 统计学 2019-04-01 Erik Drysdale , Yingwei Peng , Timothy P. Hanna , Paul Nguyen , Anna Goldenberg

Construction of valid statistical inference for estimators based on data-driven selection has received a lot of attention in the recent times. Berk et al. (2013) is possibly the first work to provide valid inference for Gaussian…

统计方法学 · 统计学 2018-06-12 Arun Kumar Kuchibhotla , Lawrence D. Brown , Andreas Buja , Edward I. George , Linda Zhao

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

统计理论 · 数学 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

We are motivated by the problem of performing failure prediction for safety-critical robotic systems with high-dimensional sensor observations (e.g., vision). Given access to a black-box control policy (e.g., in the form of a neural…

机器人学 · 计算机科学 2022-05-09 Alec Farid , David Snyder , Allen Z. Ren , Anirudha Majumdar

The paper studies a problem of constructing simultaneous likelihood-based confidence sets. We consider a simultaneous multiplier bootstrap procedure for estimating the quantiles of the joint distribution of the likelihood ratio statistics,…

统计理论 · 数学 2015-06-19 Mayya Zhilova

In a sparse stochastic block model with two communities of unequal sizes we derive two posterior concentration inequalities, that imply (1) posterior (almost-)exact recovery of the community structure under sparsity bounds comparable to…

统计理论 · 数学 2021-08-17 B. J. K. Kleijn , J. van Waaij

In the context of selective inference, confidence envelopes for the false discoveries allow the user to select any subset of null hypotheses while having a statistical guarantee on the number of false discoveries in the selected set. Many…

The goal of confidence-set learning in the binary classification setting is to construct two sets, each with a specific probability guarantee to cover a class. An observation outside the overlap of the two sets is deemed to be from one of…

机器学习 · 统计学 2018-10-01 Wenbo Wang , Xingye Qiao

This paper proposes a unified framework to quantify local and global inferential uncertainty for high dimensional nonparanormal graphical models. In particular, we consider the problems of testing the presence of a single edge and…

机器学习 · 统计学 2015-07-01 Quanquan Gu , Yuan Cao , Yang Ning , Han Liu

Code language models are increasingly adopted for both understanding and generative tasks. Despite their success, these models frequently produce overconfident incorrect predictions and underconfident correct predictions, undermining their…

软件工程 · 计算机科学 2026-05-20 Ravishka Rathnasuriya , Wei Yang

In a spatial-temporal model, structural change and/or spatial heterogeneity can easily affect estimation of parameters. Following the spatial-temporal model in [1], we develop a nonparametric procedure for test-ing the presence of…

统计方法学 · 统计学 2021-07-07 Ruby Anne E. Lemence , Erniel B. Barrios

We suggest general methods to construct asymptotically uniformly valid confidence intervals post-model-selection. The constructions are based on principles recently proposed by Berk et al. (2013). In particular the candidate models used can…

统计理论 · 数学 2017-11-15 François Bachoc , David Preinerstorfer , Lukas Steinberger

Practical or scientific considerations often lead to selecting a subset of parameters as ``important.'' Inferences about those parameters often are based on the same data used to select them in the first place. That can make the reported…

统计方法学 · 统计学 2019-06-04 Yoav Benjamini , Yotam Hechtlinger , Philip B. Stark

Investigators often use the data to generate interesting hypotheses and then perform inference for the generated hypotheses. P-values and confidence intervals must account for this explorative data analysis. A fruitful method for doing so…

统计方法学 · 统计学 2018-02-06 Keli Liu , Jelena Markovic , Robert Tibshirani