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This paper introduces a direct differentiation-based framework that unifies the derivation of influence functions across parametric, nonparametric, and semiparametric models. We show that the Riesz representer of the functional derivative…

Econometrics · Economics 2026-05-04 Xiye Yang , Ruonan Xu

In this paper, we propose a novel semi-supervised feature selection framework by mining correlations among multiple tasks and apply it to different multimedia applications. Instead of independently computing the importance of features for…

Machine Learning · Computer Science 2017-07-11 Xiaojun Chang , Yi Yang

Tabular data is one of the most common data storage formats behind many real-world web applications such as retail, banking, and e-commerce. The success of these web applications largely depends on the ability of the employed machine…

Machine Learning · Computer Science 2023-02-14 Dugang Liu , Pengxiang Cheng , Hong Zhu , Xing Tang , Yanyu Chen , Xiaoting Wang , Weike Pan , Zhong Ming , Xiuqiang He

This study extends the Bayesian nonparametric instrumental variable regression model to determine the structural effects of covariates on the conditional quantile of the response variable. The error distribution is nonparametrically…

Methodology · Statistics 2016-08-30 Genya Kobayashi , Kota Ogasawara

Many language tasks (e.g., Named Entity Recognition, Part-of-Speech tagging, and Semantic Role Labeling) are naturally framed as sequence tagging problems. However, there has been comparatively little work on interpretability methods for…

Computation and Language · Computer Science 2022-10-26 Sarthak Jain , Varun Manjunatha , Byron C. Wallace , Ani Nenkova

Relative weight analysis is a classic tool for detecting whether one variable or interaction in a model is relevant. In this study, we focus on the construction of relative weights for non-linear interactions using restricted cubic splines.…

Methodology · Statistics 2021-08-30 Maikol Solís , Carlos Pasquier

Unobserved confounders are a long-standing issue in causal inference using propensity score methods. This study proposed nonparametric indices to quantify the impact of unobserved confounders through pseudo-experiments with an application…

Methodology · Statistics 2020-08-27 Beilin Jia , Donglin Zeng , Qing Yang , Wei Pan

Variational inference approximates Bayesian posterior distributions by projecting onto a tractable family of distributions. While most theoretical analyses evaluate the quality of this approximation using global divergence measures, many…

Statistics Theory · Mathematics 2026-03-11 Sean Plummer

A key to causal inference with observational data is achieving balance in predictive features associated with each treatment type. Recent literature has explored representation learning to achieve this goal. In this work, we discuss the…

Machine Learning · Statistics 2021-02-25 Serge Assaad , Shuxi Zeng , Chenyang Tao , Shounak Datta , Nikhil Mehta , Ricardo Henao , Fan Li , Lawrence Carin

In this article the algorithm for calculating a mutual influence of the vertices in cognitive maps is introduced. It has been shown, that in the proposed algorithm, there is no problem in comparing with a widely used method - the impulse…

Social and Information Networks · Computer Science 2018-04-20 Oleh O. Dmytrenko , Dmitry V. Lande

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…

Computation and Language · Computer Science 2021-10-08 Xiaochuang Han , Yulia Tsvetkov

Influence Maximization is a NP-hard problem of selecting the optimal set of influencers in a network. Here, we propose two new approaches to influence maximization based on two very different metrics. The first metric, termed Balanced Index…

Social and Information Networks · Computer Science 2019-12-02 Panagiotis D. Karampourniotis , Boleslaw K. Szymanski , Gyorgy Korniss

This article addresses structure-preserving smooth approximation of semiconcave functions. semiconcave functions are of particular interest because they naturally arise in a variety of variational problems, including {optimal feedback…

Optimization and Control · Mathematics 2026-02-10 Karl Kunisch , Donato Vásquez-Varas

This paper studies the mathematical properties of collectively canalizing Boolean functions, a class of functions that has arisen from applications in systems biology. Boolean networks are an increasingly popular modeling framework for…

Discrete Mathematics · Computer Science 2023-06-07 Claus Kadelka , Benjamin Keilty , Reinhard Laubenbacher

We describe a simple method for making inference on a functional of a multivariate distribution. The method is based on a copula representation of the multivariate distribution and it is based on the properties of an Approximate Bayesian…

Methodology · Statistics 2017-07-18 Clara Grazian , Brunero Liseo

Conjoint experiments have become central to survey research in political science and related fields because they allow researchers to study preferences across multiple attributes simultaneously. Beyond estimating main effects, scholars…

Methodology · Statistics 2025-10-03 Steven Wang , Isys Johnson , Jessica Grogan , Lalit Jain , Atri Rudra , Kyle Hunt , Kenneth Joseph

This paper develops a comprehensive probabilistic setup to compute approximating functions in active subspaces. Constantine et al. proposed the active subspace method in (Constantine et al., 2014) to reduce the dimension of computational…

Probability · Mathematics 2019-04-09 Mario Teixeira Parente

Influence functions are commonly used to attribute model behavior to training documents. We explore the reverse: crafting training data that induces model behavior. Our framework, Infusion, uses scalable influence-function approximations to…

Machine Learning · Computer Science 2026-04-09 J Rosser , Robert Kirk , Edward Grefenstette , Jakob Foerster , Laura Ruis

Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

Methodology · Statistics 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick

Representations of Boolean functions by real polynomials play an important role in complexity theory. Typically, one is interested in the least degree of a polynomial p(x_1,...,x_n) that approximates or sign-represents a given Boolean…

Computational Complexity · Computer Science 2008-05-15 Alexander A. Sherstov
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