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Related papers: Causal normalizing flows: from theory to practice

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Causal discovery from observational data is a challenging task that can only be solved up to a set of equivalent solutions, called an equivalence class. Such classes, which are often large in size, encode uncertainties about the orientation…

Machine Learning · Computer Science 2022-03-01 Philippe Brouillard , Perouz Taslakian , Alexandre Lacoste , Sebastien Lachapelle , Alexandre Drouin

We introduce Causal Computational Asymmetry (CCA), a principle for causal direction identification based on optimization dynamics in which one neural network is trained to predict $Y$ from $X$ and another to predict $X$ from $Y$, and the…

Machine Learning · Computer Science 2026-02-27 Abdulrahman Tamim

We propose a counterfactual approach to train ``causality-aware" predictive models that are able to leverage causal information in static anticausal machine learning tasks (i.e., prediction tasks where the outcome influences the features).…

Applications · Statistics 2020-12-01 Elias Chaibub Neto

Causal diagrams are logic and graphical tools that depict assumptions about presumed causal relations. Such diagrams have proven effective in tackling a variety of problems in social sciences and epidemiology research yet remain foreign to…

Applications · Statistics 2023-06-29 M. Z. Naser

The focus of this book is on the analysis of regularization methods for solving \emph{nonlinear inverse problems}. Specifically, we place a strong emphasis on techniques that incorporate supervised or unsupervised data derived from prior…

Optimization and Control · Mathematics 2025-06-24 Clemens Kirisits , Bochra Mejri , Sergei Pereverzev , Otmar Scherzer , Cong Shi

Causal discovery aims to recover information about an unobserved causal graph from the observable data it generates. Layerings are orderings of the variables which place causes before effects. In this paper, we provide ways to recover…

As a key component to intuitive cognition and reasoning solutions in human intelligence, causal knowledge provides great potential for reinforcement learning (RL) agents' interpretability towards decision-making by helping reduce the…

Machine Learning · Computer Science 2025-04-25 Ruichu Cai , Siyang Huang , Jie Qiao , Wei Chen , Yan Zeng , Keli Zhang , Fuchun Sun , Yang Yu , Zhifeng Hao

Real-world scenarios demand reasoning about process, more than final outcome prediction, to discover latent causal chains and better understand complex systems. It requires the learning algorithms to offer both accurate predictions and…

Artificial Intelligence · Computer Science 2019-01-09 Xiaoran Xu , Songpeng Zu , Chengliang Gao , Yuan Zhang , Wei Feng

Normalizing Flows (NFs) are likelihood-based models for continuous inputs. They have demonstrated promising results on both density estimation and generative modeling tasks, but have received relatively little attention in recent years. In…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Shuangfei Zhai , Ruixiang Zhang , Preetum Nakkiran , David Berthelot , Jiatao Gu , Huangjie Zheng , Tianrong Chen , Miguel Angel Bautista , Navdeep Jaitly , Josh Susskind

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

Methodology · Statistics 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

The aim of this paper is to discuss a recent result which shows that probabilistic inference in the presence of (unknown) causal mechanisms can be tractable for models that have traditionally been viewed as intractable. This result was…

Artificial Intelligence · Computer Science 2022-02-08 Adnan Darwiche

The distinctive architectural features of normalizing flows (NFs), notably bijectivity and tractable Jacobians, make them well-suited for generative modeling. Invertible neural networks (INNs) build on these principles to address supervised…

Machine Learning · Computer Science 2026-02-25 Shubhanshu Shekhar , Mohammad Javad Khojasteh , Ananya Acharya , Tony Tohme , Kamal Youcef-Toumi

Normalizing flows are constructed from a base distribution with a known density and a diffeomorphism with a tractable Jacobian. The base density of a normalizing flow can be parameterised by a different normalizing flow, thus allowing maps…

Machine Learning · Computer Science 2022-11-07 Samuel Klein , John Andrew Raine , Tobias Golling

The notion of causality assumes a paramount position within the realm of human cognition. Over the past few decades, there has been significant advancement in the domain of causal effect estimation across various disciplines, including but…

Machine Learning · Statistics 2024-05-24 Zongyu Li , Xiaobo Guo , Siwei Qiang

Inference of causal relations from data now has become an important field in artificial intelligence. During the past 16 years, causality analysis (in a quantitative sense) has been developed independently in physics from first principles.…

Systems and Control · Electrical Eng. & Systems 2022-01-03 X. San Liang

Time-varying causal models provide a powerful framework for studying dynamic scientific systems, yet most existing approaches assume that the underlying causal network is known a priori - an assumption rarely satisfied in real-world domains…

Machine Learning · Computer Science 2026-05-28 Dmitry Zaytsev , Valentina Kuskova , Michael Coppedge

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

Identification of causal direction between a causal-effect pair from observed data has recently attracted much attention. Various methods based on functional causal models have been proposed to solve this problem, by assuming the causal…

Machine Learning · Computer Science 2019-06-04 Ruichu Cai , Jie Qiao , Kun Zhang , Zhenjie Zhang , Zhifeng Hao

The fundamental challenge in causal induction is to infer the underlying graph structure given observational and/or interventional data. Most existing causal induction algorithms operate by generating candidate graphs and evaluating them…

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