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The constraints arising from DAG models with latent variables can be naturally represented by means of acyclic directed mixed graphs (ADMGs). Such graphs contain directed and bidirected arrows, and contain no directed cycles. DAGs with…

Machine Learning · Statistics 2012-07-24 Ilya Shpitser , Thomas S. Richardson , James M. Robins , Robin Evans

To satisfy the increasing performance needs of modern cyber-physical systems, multiprocessor architectures are increasingly utilized. To efficiently exploit their potential parallelism in hard real-time systems, appropriate task models and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-26 Niklas Ueter , Mario Günzel , Georg von der Brüggen , Jian-Jia Chen

The growing complexity of the power grid, driven by increasing share of distributed energy resources and by massive deployment of intelligent internet-connected devices, requires new modelling tools for planning and operation. Physics-based…

Machine Learning · Statistics 2018-11-26 Francesco Fusco

In causal graphical models based on directed acyclic graphs (DAGs), directed paths represent causal pathways between the corresponding variables. The variable at the beginning of such a path is referred to as an ancestor of the variable at…

Machine Learning · Computer Science 2021-05-24 Wenyu Chen , Mathias Drton , Ali Shojaie

A $k$-stack layout (or $k$-page book embedding) of a graph consists of a total order of the vertices, and a partition of the edges into $k$ sets of non-crossing edges with respect to the vertex order. The stack number of a graph is the…

Combinatorics · Mathematics 2023-09-06 Martin Nöllenburg , Sergey Pupyrev

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

Machine Learning · Computer Science 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji

In this paper, we tackle structure learning of Directed Acyclic Graphs (DAGs), with the idea of exploiting available prior knowledge of the domain at hand to guide the search of the best structure. In particular, we assume to know the…

Methodology · Statistics 2024-01-19 Thi Kim Hue Nguyen , Monica Chiogna , Davide Risso , Erika Banzato

We present a novel perspective and algorithm for learning directed acyclic graphs (DAGs) from data generated by a linear structural equation model (SEM). First, we show that a linear SEM can be viewed as a linear transform that, in prior…

Machine Learning · Computer Science 2024-06-21 Panagiotis Misiakos , Chris Wendler , Markus Püschel

We present the first parser for UCCA, a cross-linguistically applicable framework for semantic representation, which builds on extensive typological work and supports rapid annotation. UCCA poses a challenge for existing parsing techniques,…

Computation and Language · Computer Science 2018-05-02 Daniel Hershcovich , Omri Abend , Ari Rappoport

We consider a binary response which is potentially affected by a set of continuous variables. Of special interest is the causal effect on the response due to an intervention on a specific variable. The latter can be meaningfully determined…

Methodology · Statistics 2020-09-11 Federico Castelletti , Guido Consonni

Deep generative models (DGMs) have recently demonstrated remarkable success in capturing complex probability distributions over graphs. Although their excellent performance is attributed to powerful and scalable deep neural networks, it is,…

Machine Learning · Computer Science 2025-03-18 Milan Papež , Martin Rektoris , Václav Šmídl , Tomáš Pevný

Acyclic model, often depicted as a directed acyclic graph (DAG), has been widely employed to represent directional causal relations among collected nodes. In this article, we propose an efficient method to learn linear non-Gaussian DAG in…

Machine Learning · Statistics 2021-11-02 Ruixuan Zhao , Xin He , Junhui Wang

To measure the tree-likeness of a directed acyclic graph (DAG), a new width parameter that considers the directions of the arcs was recently introduced: scanwidth. We present the first algorithm that efficiently computes the exact scanwidth…

Data Structures and Algorithms · Computer Science 2026-05-21 Niels Holtgrefe , Leo van Iersel , Mark Jones

We develop terminology and methods for working with maximally oriented partially directed acyclic graphs (maximal PDAGs). Maximal PDAGs arise from imposing restrictions on a Markov equivalence class of directed acyclic graphs, or…

Statistics Theory · Mathematics 2018-06-20 Emilija Perković , Markus Kalisch , Maloes H. Maathuis

Temporal graphs represent the dynamic relationships among entities and occur in many real life application like social networks, e commerce, communication, road networks, biological systems, and many more. They necessitate research beyond…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Srikanta Bedathur

We present probabilistic arithmetic automata (PAAs), a general model to describe chains of operations whose operands depend on chance, along with two different algorithms to exactly calculate the distribution of the results obtained by such…

Formal Languages and Automata Theory · Computer Science 2010-11-29 Tobias Marschall , Inke Herms , Hans-Michael Kaltenbach , Sven Rahmann

A growing number of applications like probabilistic machine learning, sparse linear algebra, robotic navigation, etc., exhibit irregular data flow computation that can be modeled with directed acyclic graphs (DAGs). The irregularity arises…

Hardware Architecture · Computer Science 2022-10-25 Nimish Shah , Wannes Meert , Marian Verhelst

In multivariate time series analysis, understanding the underlying causal relationships among variables is often of interest for various applications. Directed acyclic graphs (DAGs) provide a powerful framework for representing causal…

Methodology · Statistics 2025-07-30 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition…

Logic in Computer Science · Computer Science 2017-07-17 Jeremy Sproston

There has been a growing interest in causal learning in recent years. Commonly used representations of causal structures, including Bayesian networks and structural equation models (SEM), take the form of directed acyclic graphs (DAGs). We…

Machine Learning · Computer Science 2025-11-20 Pavel Rytir , Ales Wodecki , Jakub Marecek
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