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We introduce inference trees (ITs), a new class of inference methods that build on ideas from Monte Carlo tree search to perform adaptive sampling in a manner that balances exploration with exploitation, ensures consistency, and alleviates…

Variable selection for models including interactions between explanatory variables often needs to obey certain hierarchical constraints. The weak or strong structural hierarchy requires that the existence of an interaction term implies at…

统计理论 · 数学 2016-11-10 Yiyuan She , Zhifeng Wang , He Jiang

The variance--covariance matrix plays a central role in the inferential theories of high-dimensional factor models in finance and economics. Popular regularization methods of directly exploiting sparsity are not directly applicable to many…

统计方法学 · 统计学 2012-03-15 Jianqing Fan , Yuan Liao , Martina Mincheva

In contemporary scientific research, it is of great interest to predict a categorical response based on a high-dimensional tensor (i.e. multi-dimensional array) and additional covariates. This mixture of different types of data leads to…

统计方法学 · 统计学 2018-05-14 Yuqing Pan , Qing Mai , Xin Zhang

Latent variable models are increasingly used in economics for high-dimensional categorical data like text and surveys. We demonstrate the effectiveness of Hamiltonian Monte Carlo (HMC) with parallelized automatic differentiation for…

计量经济学 · 经济学 2024-03-04 Szymon Sacher , Laura Battaglia , Stephen Hansen

The organization of latent token representations plays a crucial role in determining the stability, generalization, and contextual consistency of language models, yet conventional approaches to embedding refinement often rely on parameter…

计算与语言 · 计算机科学 2025-03-26 Meiquan Dong , Haoran Liu , Yan Huang , Zixuan Feng , Jianhong Tang , Ruoxi Wang

Hypothesis testing and other statistical inference procedures are most efficient when a reliable low-dimensional parametric family can be specified. We propose a method that learns such a family when one exists but its form is not known a…

统计方法学 · 统计学 2017-11-29 William Fithian , Daniel Ting

Genome-wide association analysis has generated much discussion about how to preserve power to detect signals despite the detrimental effect of multiple testing on power. We develop a weighted multiple testing procedure that facilitates the…

统计理论 · 数学 2007-06-13 Kathryn Roeder , Bernie Devlin , Larry Wasserman

Test-time adaptation allows pretrained models to adjust to incoming data streams, addressing distribution shifts between source and target domains. However, standard methods rely on single-dimensional linear classification layers, which…

机器学习 · 计算机科学 2026-03-27 Sameer Ambekar , Marta Hasny , Laura Daza , Daniel M. Lang , Julia A. Schnabel

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

统计方法学 · 统计学 2025-04-08 Qiushuang Li , Recai Yucel

In this contribution we present an abstract framework for adaptive model hierarchies together with several instances of hierarchies for specific applications. The hierarchy is particularly useful when integrated within an outer loop, for…

数值分析 · 数学 2024-11-27 Hendrik Kleikamp , Mario Ohlberger

In this paper, we consider the problem of simultaneous testing of multivariate normal means under arbitrary covariance dependence. Specifically, let $\boldsymbol{X}\sim N_n(\boldsymbol{\theta},\boldsymbol{\Sigma})$, where…

统计理论 · 数学 2026-05-29 Prasenjit Ghosh , Arijit Chakrabarti

Estimating a sparse covariance matrix is a fundamental problem in high-dimensional statistics. However, thresholding methods developed for independent data are generally not directly applicable to high-dimensional time series, where…

统计方法学 · 统计学 2026-05-15 Wenhao Zhang , Zhaoxing Gao

Regression is one of the most commonly used statistical techniques. However, testing regression systems is a great challenge because of the absence of test oracle in general. In this paper, we show that Metamorphic Testing is an effective…

统计方法学 · 统计学 2021-08-24 Quang-Hung Luu , Man F. Lau , Sebastian P. H. Ng , Tsong Yueh Chen

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

统计方法学 · 统计学 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

机器学习 · 统计学 2014-10-14 Talayeh Razzaghi , Ilya Safro

This paper focuses on forecasting hierarchical time-series data, where each higher-level observation equals the sum of its corresponding lower-level time series. In such contexts, the forecast values should be coherent, meaning that the…

Anomaly detection to recognize unusual events in large scale systems in a time sensitive manner is critical in many industries, eg. bank fraud, enterprise systems, medical alerts, etc. Large-scale systems often grow in size and complexity…

机器学习 · 计算机科学 2022-10-31 Srishti Mishra , Tvarita Jain , Dinkar Sitaram

We introduce a HD DCC-HEAVY class of hierarchical-type factor models for high-dimensional covariance matrices, employing the realized measures built from higher-frequency data. The modelling approach features straightforward estimation and…

计量经济学 · 经济学 2024-07-17 Emilija Dzuverovic , Matteo Barigozzi

We propose a novel method for hierarchical entity classification that embraces ontological structure at both training and during prediction. At training, our novel multi-level learning-to-rank loss compares positive types against negative…

计算与语言 · 计算机科学 2020-04-07 Tongfei Chen , Yunmo Chen , Benjamin Van Durme