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Inferential challenges that arise when data are censored have been extensively studied under the classical frameworks. In this paper, we provide an alternative generalized inferential model approach whose output is a data-dependent…

统计方法学 · 统计学 2021-11-16 Joyce Cahoon , Ryan Martin

Transformers have recently been shown to be capable of reliably performing logical reasoning over facts and rules expressed in natural language, but abductive reasoning - inference to the best explanation of an unexpected observation - has…

计算与语言 · 计算机科学 2022-03-24 Nathan Young , Qiming Bao , Joshua Bensemann , Michael Witbrock

Machine learning applications often require calibrated predictions, e.g. a 90\% credible interval should contain the true outcome 90\% of the times. However, typical definitions of calibration only require this to hold on average, and offer…

机器学习 · 统计学 2020-09-10 Shengjia Zhao , Tengyu Ma , Stefano Ermon

Identifying latent representations or causal structures is important for good generalization and downstream task performance. However, both fields have been developed rather independently. We observe that several methods in both…

机器学习 · 统计学 2025-02-11 Patrik Reizinger , Siyuan Guo , Ferenc Huszár , Bernhard Schölkopf , Wieland Brendel

We discuss recent work for causal inference and predictive robustness in a unifying way. The key idea relies on a notion of probabilistic invariance or stability: it opens up new insights for formulating causality as a certain risk…

统计方法学 · 统计学 2018-12-21 Peter Bühlmann

We use machine learning to provide a tractable measure of the amount of predictable variation in the data that a theory captures, which we call its "completeness." We apply this measure to three problems: assigning certain equivalents to…

理论经济学 · 经济学 2019-10-17 Drew Fudenberg , Jon Kleinberg , Annie Liang , Sendhil Mullainathan

In a supervised learning problem, given a predicted value that is the output of some trained model, how can we quantify our uncertainty around this prediction? Distribution-free predictive inference aims to construct prediction intervals…

统计理论 · 数学 2025-07-01 Ruiting Liang , Rina Foygel Barber

Conformal predictors are machine learning algorithms that output prediction sets that have a guarantee of marginal validity for finite samples with minimal distributional assumptions. This is a property that makes conformal predictors…

机器学习 · 计算机科学 2021-03-03 Anthony Bellotti

This paper proposes a new method of probabilistic prediction, which is based on conformal prediction. The method is applied to the standard USPS data set and gives encouraging results.

机器学习 · 计算机科学 2014-06-24 Vladimir Vovk , Ivan Petej , Valentina Fedorova

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

机器学习 · 统计学 2024-11-27 Eshant English , Christoph Lippert

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

统计方法学 · 统计学 2019-02-06 Eli Sherman , Ilya Shpitser

We study multivariate approximation of periodic function in the worst case setting with the error measured in the $L_\infty$ norm. We consider algorithms that use standard information $\Lambda^{\rm std}$ consisting of function values or…

数值分析 · 数学 2023-05-01 Jiaxin Geng , Heping Wang

Data assimilation, consisting in the combination of a dynamical model with a set of noisy and incomplete observations in order to infer the state of a system over time, involves uncertainty in most settings. Building upon an existing…

机器学习 · 计算机科学 2026-03-02 Anthony Frion , David S Greenberg

A great deal of effort has been devoted to reducing the risk of spurious scientific discoveries, from the use of sophisticated validation techniques, to deep statistical methods for controlling the false discovery rate in multiple…

机器学习 · 计算机科学 2016-03-03 Cynthia Dwork , Vitaly Feldman , Moritz Hardt , Toniann Pitassi , Omer Reingold , Aaron Roth

Distribution-free prediction sets play a pivotal role in uncertainty quantification for complex statistical models. Their validity hinges on reliable calibration data, which may not be readily available as real-world environments often…

统计方法学 · 统计学 2024-06-11 Elise Han , Chengpiao Huang , Kaizheng Wang

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

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a…

人工智能 · 计算机科学 2017-03-07 Arthur Van Camp , Gert de Cooman

Learning word embeddings using distributional information is a task that has been studied by many researchers, and a lot of studies are reported in the literature. On the contrary, less studies were done for the case of multiple languages.…

计算与语言 · 计算机科学 2020-04-15 Marco Berlot , Evan Kaplan

Building on top of a regression model, Conformal Prediction methods produce distribution free prediction sets, requiring only i.i.d. data. While R packages implementing such methods for the univariate response framework have been developed,…

统计方法学 · 统计学 2022-06-30 Paolo Vergottini , Matteo Fontana , Jacopo Diquigiovanni , Aldo Solari , Simone Vantini

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

统计方法学 · 统计学 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke