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Physics-informed neural networks (PINNs) offer a powerful approach to solving partial differential equations (PDEs), which are ubiquitous in the quantitative sciences. Applied to both forward and inverse problems across various scientific…

Social networks are commonly used for marketing purposes. For example, free samples of a product can be given to a few influential social network users (or "seed nodes"), with the hope that they will convince their friends to buy it. One…

社会与信息网络 · 计算机科学 2019-01-17 Siyu Lei , Silviu Maniu , Luyi Mo , Reynold Cheng , Pierre Senellart

How should researchers conduct causal inference when the outcome of interest is latent and measured imperfectly by multiple indicators? We develop a general nonparametric framework for identifying and estimating average treatment effects on…

统计方法学 · 统计学 2026-04-22 Jiawei Fu , Donald P. Green

It is becoming increasingly common for researchers to consider incorporating external information from large studies to improve the accuracy of statistical inference instead of relying on a modestly sized dataset collected internally. With…

统计方法学 · 统计学 2021-07-20 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

机器学习 · 统计学 2021-10-12 K. P. Chowdhury

Selective inference (post-selection inference) is a methodology that has attracted much attention in recent years in the fields of statistics and machine learning. Naive inference based on data that are also used for model selection tends…

统计方法学 · 统计学 2021-11-25 Yoshiyuki Ninomiya , Yuta Umezu , Ichiro Takeuchi

Likelihood-free inference refers to inference when a likelihood function cannot be explicitly evaluated, which is often the case for models based on simulators. Most of the literature is based on sample-based `Approximate Bayesian…

机器学习 · 统计学 2018-11-22 Conor Durkan , George Papamakarios , Iain Murray

Fine-tuning large language models (LLMs) on chain-of-thought (CoT) data shows that a small amount of high-quality data can outperform massive datasets. Yet, what constitutes "quality" remains ill-defined. Existing reasoning methods rely on…

机器学习 · 计算机科学 2025-12-02 Prateek Humane , Paolo Cudrano , Daniel Z. Kaplan , Matteo Matteucci , Supriyo Chakraborty , Irina Rish

Regression models are used in a wide range of applications providing a powerful scientific tool for researchers from different fields. Linear, or simple parametric, models are often not sufficient to describe complex relationships between…

机器学习 · 统计学 2021-11-24 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Among the most critical limitations of deep learning NLP models are their lack of interpretability, and their reliance on spurious correlations. Prior work proposed various approaches to interpreting the black-box models to unveil the…

计算与语言 · 计算机科学 2021-10-08 Xiaochuang Han , Yulia Tsvetkov

Rating procedure is crucial in many applied fields (e.g., educational, clinical, emergency). It implies that a rater (e.g., teacher, doctor) rates a subject (e.g., student, doctor) on a rating scale. Given raters variability, several…

统计方法学 · 统计学 2026-01-14 Giuseppe Mignemi , Ioanna Manolopoulou

Estimating mutual correlations between random variables or data streams is essential for intelligent behavior and decision-making. As a fundamental quantity for measuring statistical relationships, mutual information has been extensively…

信息论 · 计算机科学 2024-02-16 Zhengyang Hu , Song Kang , Qunsong Zeng , Kaibin Huang , Yanchao Yang

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

统计理论 · 数学 2015-01-20 Ryan Martin , Chuanhai Liu

This paper develops an incremental learning algorithm based on quadratic inference function (QIF) to analyze streaming datasets with correlated outcomes such as longitudinal data and clustered data. We propose a renewable QIF (RenewQIF)…

统计方法学 · 统计学 2021-07-01 Lan Luo , Ling Zhou , Peter X. -K. Song

Data selection methods, such as active learning and core-set selection, are useful tools for improving the data efficiency of deep learning models on large-scale datasets. However, recent deep learning models have moved forward from…

机器学习 · 计算机科学 2021-08-03 Wentao Zhang , Zhi Yang , Yexin Wang , Yu Shen , Yang Li , Liang Wang , Bin Cui

How can we explain the predictions of a black-box model? In this paper, we use influence functions -- a classic technique from robust statistics -- to trace a model's prediction through the learning algorithm and back to its training data,…

机器学习 · 统计学 2021-01-01 Pang Wei Koh , Percy Liang

Statistical inference in parametric models (e.g., the Bradley--Terry model and its variants) for paired-comparison data has been explored in the high-dimensional regime, in which the number of items involving in paired comparisons diverges.…

统计方法学 · 统计学 2026-04-01 Haoyue Song , Lianqiang Qu , Ting Yan , Yuguo Chen

Many useful parameters depend on nonparametric first steps. Examples include games, dynamic discrete choice, average exact consumer surplus, and treatment effects. Often estimators of these parameters are asymptotically equivalent to a…

统计方法学 · 统计学 2021-07-29 Hidehiko Ichimura , Whitney K. Newey

Identifying dependency in multivariate data is a common inference task that arises in numerous applications. However, existing nonparametric independence tests typically require computation that scales at least quadratically with the sample…

统计方法学 · 统计学 2021-07-08 Shai Gorsky , Li Ma

We address the goal of conducting inference about a smooth finite-dimensional parameter by utilizing individual-level data from various independent sources. Recent advancements have led to the development of a comprehensive theory capable…

统计理论 · 数学 2025-11-19 Ellen Graham , Marco Carone , Andrea Rotnitzky