Advances in Statistical AI and Casual Inference

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Probability and Statistics".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 490

Special Issue Editors


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Guest Editor
Institute of Artificial Intelligence, Beihang University, Beijing 100083, China
Interests: high-dimensional statistics; non-asymptotic theory; functional data analysis; robust statistical learning; the mathematics of deep learning; concentration inequalities; subsampling

E-Mail Website
Guest Editor
College of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, China
Interests: design of experiments; drug combination studies; systems biology

Special Issue Information

Dear Colleagues, 

This Special Issue focuses on recent advancements in statistical models and machine learning methods at the intersection of artificial intelligence (AI) and causal inference, with applications in genomics, bioinformatics, and precision medicine. Although AI has achieved remarkable success, there remain challenges in developing statistical theory and methodology for AI. This issue particularly highlights theoretical advancements involving deep neural networks and causal inference, particularly with regard to non-asymptotic theory and small sample learning. The theoretical analysis of deep neural networks can be divided into three components: approximation, optimization, and generalization. Causal inference includes frameworks such as the Rubin causal model, mediation analysis, causal graphs, observational studies, and instrumental variables to enable our understanding of causality and reasoning. We highlight how machine learning and deep learning can be effectively integrated with causal inference, enabling researchers to address potential biases in estimating causal effects and heterogeneous causal effects. We also encourage researchers to incorporate novel insights into their empirical research and experimental design.

The sub-topics to be covered within the issue are as follows:

  • deep neural networks
  • finite sample theory
  • non-asymptotic statistics
  • precision medicine
  • treatment effect estimation
  • uncertainty quantification
  • reinforcement learning
  • adaptive experiments and bandit algorithms
  • experimental design
  • high-dimensional statistics
  • multiple testing

Dr. Huiming Zhang
Dr. Hengzheng Huang
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • deep neural networks
  • causal inference
  • precision medicine
  • non-asymptotic theory
  • treatment effect
  • statistical machine learning

Published Papers (1 paper)

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Research

16 pages, 312 KiB  
Article
Estimating the Complier Average Causal Effect with Non-Ignorable Missing Outcomes Using Likelihood Analysis
by Jierui Du, Gao Wen and Xin Liang
Mathematics 2024, 12(9), 1300; https://doi.org/10.3390/math12091300 - 25 Apr 2024
Viewed by 301
Abstract
Missing data problems arise in randomized trials, which complicates the inference of causal effects if the missing mechanism is non-ignorable. We tackle the challenge of identifying and estimating the complier average causal effect parameters under non-ignorable missingness by increasing the covariates to mitigate [...] Read more.
Missing data problems arise in randomized trials, which complicates the inference of causal effects if the missing mechanism is non-ignorable. We tackle the challenge of identifying and estimating the complier average causal effect parameters under non-ignorable missingness by increasing the covariates to mitigate the sensitivity to the violation of specific identification assumptions. The missing data mechanism is assumed to follow a logistic model, wherein the absence of the outcome is explained by the outcome itself, the treatment received, and the covariates. We establish the identifiability of the models under mild conditions by assuming that the outcome follows a normal distribution. We develop a computational method to estimate model parameters through a two-step likelihood estimation approach, employing subgroup analysis. The bootstrap method is employed for variance estimation, and the effectiveness of our approach is confirmed through simulation. We applied the proposed method to analyze the household income dataset from the Chinese Household Income Project Survey 2013. Full article
(This article belongs to the Special Issue Advances in Statistical AI and Casual Inference)
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