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This paper establishes fundamental results for statistical inference of diagnostic classification models (DCM). The results are developed at a high level of generality, applicable to essentially all diagnostic classification models. In…

Statistics Theory · Mathematics 2025-01-08 Guanhua Fang , Jingchen Liu , Zhiliang Ying

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

In this paper we present a comprehensive view of prominent causal discovery algorithms, categorized into two main categories (1) assuming acyclic and no latent variables, and (2) allowing both cycles and latent variables, along with…

Artificial Intelligence · Computer Science 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

Structural causal models (SCMs), also known as (nonparametric) structural equation models (SEMs), are widely used for causal modeling purposes. In particular, acyclic SCMs, also known as recursive SEMs, form a well-studied subclass of SCMs…

Methodology · Statistics 2021-11-23 Stephan Bongers , Patrick Forré , Jonas Peters , Joris M. Mooij

Deep neural networks (DNNs) often struggle with out-of-distribution data, limiting their reliability in diverse realworld applications. To address this issue, domain generalization methods have been developed to learn domain-invariant…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Jiaxi Li , Di Lin , Hao Chen , Hongying Liu , Liang Wan , Wei Feng

Without loss of generality, existing machine learning techniques may learn spurious correlation dependent on the domain, which exacerbates the generalization of models in out-of-distribution (OOD) scenarios. To address this issue, recent…

Machine Learning · Computer Science 2024-06-18 Bin Qin , Jiangmeng Li , Yi Li , Xuesong Wu , Yupeng Wang , Wenwen Qiang , Jianwen Cao

Diffusion probabilistic models (DPMs) have become the state-of-the-art in high-quality image generation. However, DPMs have an arbitrary noisy latent space with no interpretable or controllable semantics. Although there has been significant…

Machine Learning · Computer Science 2024-08-27 Aneesh Komanduri , Chen Zhao , Feng Chen , Xintao Wu

Unmeasured confounding is a major challenge for identifying causal relationships from non-experimental data. Here, we propose a method that can accommodate unmeasured discrete confounding. Extending recent identifiability results in deep…

Machine Learning · Computer Science 2024-08-13 Patrick Burauel , Frederick Eberhardt , Michel Besserve

Stochastic neural networks are a prototypical computational device able to build a probabilistic representation of an ensemble of external stimuli. Building on the relationship between inference and learning, we derive a synaptic plasticity…

Disordered Systems and Neural Networks · Physics 2018-10-23 Luca Saglietti , Federica Gerace , Alessandro Ingrosso , Carlo Baldassi , Riccardo Zecchina

Existing approaches to causal discovery often rely on restrictive modeling assumptions that limit their applicability in real-world settings, particularly when data are heavy-tailed or contain a mixture of discrete and continuous variables.…

Methodology · Statistics 2025-11-25 Juraj Bodik , Valérie Chavez-Demoulin

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

Machine Learning · Computer Science 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

We focus on causal discovery in the presence of measurement error in linear systems where the mixing matrix, i.e., the matrix indicating the independent exogenous noise terms pertaining to the observed variables, is identified up to…

Machine Learning · Computer Science 2022-11-09 Yuqin Yang , AmirEmad Ghassami , Mohamed Nafea , Negar Kiyavash , Kun Zhang , Ilya Shpitser

The discovery of patient-specific imaging markers that are predictive of future disease outcomes can help us better understand individual-level heterogeneity of disease evolution. In fact, deep learning models that can provide data-driven…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Amar Kumar , Anjun Hu , Brennan Nichyporuk , Jean-Pierre R. Falet , Douglas L. Arnold , Sotirios Tsaftaris , Tal Arbel

Neurally-parameterized Structural Causal Models in the Pearlian notion to causality, referred to as NCM, were recently introduced as a step towards next-generation learning systems. However, said NCM are only concerned with the learning…

Machine Learning · Computer Science 2022-12-27 Matej Zečević , Devendra Singh Dhami , Kristian Kersting

Despite their strong performance on reasoning benchmarks, large language models (LLMs) have proven brittle when presented with counterfactual questions, suggesting weaknesses in their causal reasoning ability. While recent work has…

Machine Learning · Computer Science 2026-02-20 Victoria Lin , Xinnuo Xu , Rachel Lawrence , Risa Ueno , Amit Sharma , Javier Gonzalez , Niranjani Prasad

In this paper, we consider the problem of causal order discovery within the framework of monotonic Structural Causal Models (SCMs), which have gained attention for their potential to enable causal inference and causal discovery from…

Machine Learning · Computer Science 2024-10-29 Ali Izadi , Martin Ester

Causal opacity denotes the difficulty in understanding the "hidden" causal structure underlying the decisions of deep neural network (DNN) models. This leads to the inability to rely on and verify state-of-the-art DNN-based systems,…

Understanding predictions made by deep neural networks is notoriously difficult, but also crucial to their dissemination. As all machine learning based methods, they are as good as their training data, and can also capture unwanted biases.…

Computation and Language · Computer Science 2022-11-15 Amir Feder , Nadav Oved , Uri Shalit , Roi Reichart

A major limitation of machine learning (ML) prediction models is that they recover associational, rather than causal, predictive relationships between variables. In high-stakes automation applications of ML this is problematic, as the model…

Machine Learning · Computer Science 2025-11-04 Jianqiao Mao , Max A. Little

Parametric system identification methods estimate the parameters of explicitly defined physical systems from data. Yet, they remain constrained by the need to provide an explicit function space, typically through a predefined library of…

Machine Learning · Computer Science 2026-03-17 Markus W. Baumgartner , Anson Lei , Joe Watson , Ingmar Posner