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We give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

统计理论 · 数学 2009-08-26 Hannes Leeb

Conformal predictors, introduced by Vovk et al. (2005), serve to build prediction intervals by exploiting a notion of conformity of the new data point with previously observed data. In the present paper, we propose a novel method for…

统计理论 · 数学 2009-02-12 Mohamed Hebiri

The dynamic time scan forecasting method relies on the premise that the most important pattern in a time series precedes the forecasting window, i.e., the last observed values. Thus, a scan procedure is applied to identify similar patterns,…

By representing the range of fair betting odds according to a pair of confidence set estimators, dual probability measures on parameter space called frequentist posteriors secure the coherence of subjective inference without any prior…

统计理论 · 数学 2012-05-02 David R. Bickel

This paper explores the effects of simulated moments on the performance of inference methods based on moment inequalities. Commonly used confidence sets for parameters are level sets of criterion functions whose boundary points may depend…

计量经济学 · 经济学 2018-04-12 Hiroaki Kaido , Jiaxuan Li , Marc Rysman

Generating high quality uncertainty estimates for sequential regression, particularly deep recurrent networks, remains a challenging and open problem. Existing approaches often make restrictive assumptions (such as stationarity) yet still…

机器学习 · 计算机科学 2021-07-26 Jiri Navratil , Matthew Arnold , Benjamin Elder

What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

统计方法学 · 统计学 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

Some time series can be hierarchically organized into levels based on certain characteristics, such as geography or other attributes of interest. These series are referred to as hierarchical time series. Typically, forecasts are generated…

In various situations, decision makers face experts that may provide conflicting advice. This advice may be in the form of probabilistic forecasts over critical future events. We consider a setting where the two forecasters provide their…

理论经济学 · 经济学 2020-02-14 Itay Kavaler , Rann Smorodinsky

Time series data appears in a variety of applications such as smart transportation and environmental monitoring. One of the fundamental problems for time series analysis is time series forecasting. Despite the success of recent deep time…

人工智能 · 计算机科学 2022-09-28 Baoyu Jing , Si Zhang , Yada Zhu , Bin Peng , Kaiyu Guan , Andrew Margenot , Hanghang Tong

In this paper, we develop a simple approach for testing multiple statistical hypotheses based on the observations of a number of probability ratios enumerated consecutively with respect to the index of hypotheses. Explicit and tight bounds…

统计理论 · 数学 2012-06-19 Xinjia Chen

This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

机器学习 · 统计学 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

Computer Vision practitioners must thoroughly understand their model's performance, but conditional evaluation is complex and error-prone. In biometric verification, model performance over continuous covariates---real-number attributes of…

机器学习 · 计算机科学 2020-09-22 Mel McCurrie , Hamish Nicholson , Walter J. Scheirer , Samuel Anthony

A fundamental question in causal inference is whether it is possible to reliably infer manipulation effects from observational data. There are a variety of senses of asymptotic reliability in the statistical literature, among which the most…

人工智能 · 计算机科学 2012-12-12 Jiji Zhang , Peter L. Spirtes

Sequential probabilistic inference from streaming observations requires modeling distributions over future trajectories as new observations arrive. Although diffusion and flow-matching models are effective at capturing high-dimensional,…

机器学习 · 计算机科学 2026-05-15 Yinan Huang , Hans Hao-Hsun Hsu , Junran Wang , Bo Dai , Pan Li

This paper concerns sequential hypothesis testing in competitive multi-agent systems where agents exchange potentially manipulated information. Specifically, a two-agent scenario is studied where each agent aims to correctly infer the true…

系统与控制 · 电气工程与系统科学 2025-04-04 Aneesh Raghavan , M. Umar B. Niazi , Karl H. Johansson

We present data-dependent learning bounds for the general scenario of non-stationary non-mixing stochastic processes. Our learning guarantees are expressed in terms of a data-dependent measure of sequential complexity and a discrepancy…

机器学习 · 计算机科学 2018-03-16 Vitaly Kuznetsov , Mehryar Mohri

Predictive models are often introduced to decision-making tasks under the rationale that they improve performance over an existing decision-making policy. However, it is challenging to compare predictive performance against an existing…

机器学习 · 计算机科学 2024-06-13 Luke Guerdan , Amanda Coston , Kenneth Holstein , Zhiwei Steven Wu

We introduce a new discrepancy score between two distributions that gives an indication on their similarity. While much research has been done to determine if two samples come from exactly the same distribution, much less research…

机器学习 · 计算机科学 2012-10-16 Maayan Harel , Shie Mannor

We present a new method for generating confidence sets within the split conformal prediction framework. Our method performs a trainable transformation of any given conformity score to improve conditional coverage while ensuring exact…