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We consider a graph with a single quantum system at each node. The entire compound system evolves in discrete time steps by iterating a global evolution $U$. We require that this global evolution $U$ be unitary, in accordance with quantum…

Quantum Physics · Physics 2017-08-29 Pablo Arrighi , Vincent Nesme , Reinhard Werner

A symmetric monoidal category naturally arises as the mathematical structure that organizes physical systems, processes, and composition thereof, both sequentially and in parallel. This structure admits a purely graphical calculus. This…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Bob Coecke , Raymond Lal

We present a homotopy theory for a weak version of modular operads whose compositions and contractions are only defined up to homotopy. This homotopy theory takes the form of a Quillen model structure on the collection of simplicial…

Algebraic Topology · Mathematics 2020-07-03 Philip Hackney , Marcy Robertson , Donald Yau

Complex systems can be described at myriad different scales, and their causal workings often have multiscale structure (e.g., a computer can be described at the microscale of its hardware circuitry, the mesoscale of its machine code, and…

Information Theory · Computer Science 2025-04-22 Erik Hoel

Pearl's causal hierarchy has garnered sustained attention as a foundational lens for formulating and understanding causal questions, and has been extensively discussed within the framework of structural causal models. In this paper, we…

Other Statistics · Statistics 2026-01-29 Peng Wu , Linbo Wang

Abstractions of causal models allow for the coarsening of models such that relations of cause and effect are preserved. Whereas abstractions focus on the relation between two models, in this paper we study a framework for causal embeddings…

Artificial Intelligence · Computer Science 2026-03-02 Willem Schooltink , Fabio Massimo Zennaro

Detecting anomalies in tabular data is critical for many real-world applications, such as credit card fraud detection. With the rapid advancements in large language models (LLMs), state-of-the-art performance in tabular anomaly detection…

Machine Learning · Computer Science 2026-02-10 Ruiqi Wang , Ruikang Liu , Runyu Chen , Haoxiang Suo , Zhiyi Peng , Zhuo Tang , Changjian Chen

Causal inference is a fundamental research topic for discovering the cause-effect relationships in many disciplines. However, not all algorithms are equally well-suited for a given dataset. For instance, some approaches may only be able to…

Machine Learning · Computer Science 2024-03-11 Zhipeng Ma , Marco Kemmerling , Daniel Buschmann , Chrismarie Enslin , Daniel Lütticke , Robert H. Schmitt

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

Methodology · Statistics 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

Emergence and causality are two fundamental concepts for understanding complex systems. They are interconnected. On one hand, emergence refers to the phenomenon where macroscopic properties cannot be solely attributed to the cause of…

Physics and Society · Physics 2024-02-27 Bing Yuan , Zhang Jiang , Aobo Lyu , Jiayun Wu , Zhipeng Wang , Mingzhe Yang , Kaiwei Liu , Muyun Mou , Peng Cui

Causal discovery through experimentation and intervention is fundamental to robust problem solving. It requires not just updating beliefs within a fixed framework but revising the hypothesis space itself, a capacity current AI agents lack…

Artificial Intelligence · Computer Science 2026-04-23 John Alderete , Sebastian Benthal , Connie Xu , John Xing

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 propose a novel framework for generating causal graphs from narrative texts, bridging high-level causality and detailed event-specific relationships. Our method first extracts concise, agent-centered vertices using large language model…

Computation and Language · Computer Science 2025-04-11 Zehan Li , Ruhua Pan , Xinyu Pi

We develop a criterion to certify whether causal effects are identifiable in linear structural equation models with latent variables. Linear structural equation models correspond to directed graphs whose nodes represent the random variables…

Statistics Theory · Mathematics 2025-07-25 Nils Sturma , Mathias Drton

This paper proposes a new eXplanation framework, called OrphicX, for generating causal explanations for any graph neural networks (GNNs) based on learned latent causal factors. Specifically, we construct a distinct generative model and…

Machine Learning · Computer Science 2022-04-12 Wanyu Lin , Hao Lan , Hao Wang , Baochun Li

Causal modelling is a tool for generating causal explanations of observed correlations and has led to a deeper understanding of correlations in quantum networks. Existing frameworks for quantum causality tend to focus on acyclic causal…

Quantum Physics · Physics 2024-03-14 V. Vilasini , Roger Colbeck

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

Causal discovery is essential for advancing data-driven fields such as scientific AI and data analysis, yet existing approaches face significant time- and space-efficiency bottlenecks when scaling to large graphs. To address this challenge,…

Machine Learning · Computer Science 2026-02-10 Bo Peng , Sirui Chen , Jiaguo Tian , Yu Qiao , Chaochao Lu

Discovering the causality from observational data is a crucial task in various scientific domains. With increasing awareness of privacy, data are not allowed to be exposed, and it is very hard to learn causal graphs from dispersed data,…

Machine Learning · Computer Science 2023-12-12 Dezhi Yang , Xintong He , Jun Wang , Guoxian Yu , Carlotta Domeniconi , Jinglin Zhang

Temporally evolving systems are typically modeled by dynamic equations. A key challenge in accurate modeling is understanding the causal relationships between subsystems, as well as identifying the presence and influence of unobserved…

Methodology · Statistics 2024-10-28 András Telcs , Marcell T. Kurbucz , Antal Jakovác