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We give a definition of $\mathsf{Q}$-net, a generalization of Petri nets based on a Lawvere theory $\mathsf{Q}$, for which many existing variants of Petri nets are a special case. This definition is functorial with respect to change in…

Category Theory · Mathematics 2020-11-25 Jade Master

Parametric causal modelling techniques rarely provide functionality for counterfactual estimation, often at the expense of modelling complexity. Since causal estimations depend on the family of functions used to model the data, simplistic…

Machine Learning · Statistics 2020-06-16 Álvaro Parafita , Jordi Vitrià

In many scenarios, human decisions are explained based on some high-level concepts. In this work, we take a step in the interpretability of neural networks by examining their internal representation or neuron's activations against concepts.…

Machine Learning · Computer Science 2021-11-09 Mohammad Nokhbeh Zaeem , Majid Komeili

In the following writing we discuss a conceptual framework for representing events and scenarios from the perspective of a novel form of causal analysis. This causal analysis is applied to the events and scenarios so as to determine…

Artificial Intelligence · Computer Science 2018-07-06 Anton Kolonin

Probabilistic argumentation is an alternative to causal modeling with Bayesian networks. Probabilistic argumentation structures (PAS) are defined on families of compatible frames (f.c.f). This is a generalization of the usual multivariate…

Information Theory · Computer Science 2018-10-09 Juerg Kohlas

This paper exploits extended Bayesian networks for uncertainty reasoning on Petri nets, where firing of transitions is probabilistic. In particular, Bayesian networks are used as symbolic representations of probability distributions,…

Artificial Intelligence · Computer Science 2020-10-01 Rebecca Bernemann , Benjamin Cabrera , Reiko Heckel , Barbara König

Several methods exist to infer causal networks from massive volumes of observational data. However, almost all existing methods require a considerable length of time series data to capture cause and effect relationships. In contrast,…

Machine Learning · Statistics 2016-12-22 Abbas Shojaee , Isuru Ranasinghe , Alireza Ani

Recently, studies of visual question answering have explored various architectures of end-to-end networks and achieved promising results on both natural and synthetic datasets, which require explicitly compositional reasoning. However, it…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Qingxing Cao , Xiaodan Liang , Keze Wang , Liang Lin

Higher-level cognition depends on the ability to learn models of the world. We can characterize this at the computational level as a structure-learning problem with the goal of best identifying the prevailing causal relationships among a…

Machine Learning · Computer Science 2017-05-29 Neil R. Bramley , Peter Dayan , Thomas L. Griffiths , David A. Lagnado

In 1987 Ernst-R\"udiger Olderog provided an operational Petri net semantics for a subset of CCSP, the union of Milner's CCS and Hoare's CSP. It assigns to each process term in the subset a labelled, safe place/transition net. To demonstrate…

Logic in Computer Science · Computer Science 2015-09-22 Rob van Glabbeek

We start from two closure operators defined on the elements of a special kind of partially ordered sets, called causal nets. Causal nets are used to model histories of concurrent processes, recording occurrences of local states and of…

Logic in Computer Science · Computer Science 2014-08-04 Luca Bernardinello , Carlo Ferigato , Lucia Pomello

We consider the task of causal imputation, where we aim to predict the outcomes of some set of actions across a wide range of possible contexts. As a running example, we consider predicting how different drugs affect cells from different…

Machine Learning · Statistics 2024-09-19 Alvaro Ribot , Chandler Squires , Caroline Uhler

Many questions in science center around the fundamental problem of understanding causal relationships. However, most constraint-based causal discovery algorithms, including the well-celebrated PC algorithm, often incur an exponential number…

Machine Learning · Computer Science 2024-06-05 Kirankumar Shiragur , Jiaqi Zhang , Caroline Uhler

We propose a graph-based process calculus for modeling and reasoning about wireless networks with local broadcasts. Graphs are used at syntactical level to describe the topological structures of networks. This calculus is equipped with a…

Logic in Computer Science · Computer Science 2017-06-19 Shichao Liu , Ying Jiang

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

Graphs are commonly used to represent and visualize causal relations. For a small number of variables, this approach provides a succinct and clear view of the scenario at hand. As the number of variables under study increases, the graphical…

Machine Learning · Statistics 2023-08-16 Santtu Tikka , Jouni Helske , Juha Karvanen

A new approach to quantum gravity is described which joins the loop representation formulation of the canonical theory to the causal set formulation of the path integral. The theory assigns quantum amplitudes to special classes of causal…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Fotini Markopoulou , Lee Smolin

Distributed systems often exhibit emergent behaviors that impact their resilience (Franz-Kaiser et al., 2020; Adilson E. Motter, 2002; Jianxi Gao, 2016). This paper presents a theoretical framework combining attributed graph models,…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Anatoly A. Krasnovsky

Ensuring safe operation of safety-critical complex systems interacting with their environment poses significant challenges, particularly when the system's world model relies on machine learning algorithms to process the perception input. A…

Robotics · Computer Science 2025-05-27 Roman Gansch , Lina Putze , Tjark Koopmann , Jan Reich , Christian Neurohr

Recursive reasoning systems alternate between acquiring new evidence and refining an accumulated understanding. Two design choices are typically left implicit: how to represent the evolving reasoning state, and when to stop iterating. This…

Artificial Intelligence · Computer Science 2026-05-11 Debashis Guha , Amritendu Mukherjee , Sanjay Kukreja , Tarun Kumar
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