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Directed acyclic graphs (DAGs) are central to science and engineering applications including causal inference, scheduling, and neural architecture search. In this work, we introduce the DAG Convolutional Network (DCN), a novel graph neural…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

Learning the underlying Bayesian Networks (BNs), represented by directed acyclic graphs (DAGs), of the concerned events from purely-observational data is a crucial part of evidential reasoning. This task remains challenging due to the large…

Machine Learning · Statistics 2023-02-20 Danru Xu , Erdun Gao , Wei Huang , Menghan Wang , Andy Song , Mingming Gong

In this paper, we consider Gaussian models Markov with respect to an arbitrary DAG. We first construct a family of conjugate priors for the Cholesky parametrization of the covariance matrix of such models. This family has as many shape…

Statistics Theory · Mathematics 2015-03-09 Emanuel Ben-David , Tianxi Li , Helene Massam , Bala Rajaratnam

We present a novel form of Fourier analysis, and associated signal processing concepts, for signals (or data) indexed by edge-weighted directed acyclic graphs (DAGs). This means that our Fourier basis yields an eigendecomposition of a…

Signal Processing · Electrical Eng. & Systems 2025-01-29 Bastian Seifert , Chris Wendler , Markus Püschel

In this work, we demonstrate the Empirical Bayes approach to learning a Dynamic Bayesian Network. By starting with several point estimates of structure and weights, we can use a data-driven prior to subsequently obtain a model to quantify…

Machine Learning · Computer Science 2024-07-02 Vyacheslav Kungurtsev , Apaar , Aarya Khandelwal , Parth Sandeep Rastogi , Bapi Chatterjee , Jakub Mareček

In this paper we introduce the first efficient external-memory algorithm to compute the bisimilarity equivalence classes of a directed acyclic graph (DAG). DAGs are commonly used to model data in a wide variety of practical applications,…

Data Structures and Algorithms · Computer Science 2018-03-05 Jelle Hellings , George H. L. Fletcher , Herman Haverkort

Causal structures for observational survival data provide crucial information regarding the relationships between covariates and time-to-event. We derive motivation from the information theoretic source coding argument, and show that…

Machine Learning · Computer Science 2021-11-03 Ansh Kumar Sharma , Rahul Kukreja , Ranjitha Prasad , Shilpa Rao

In image labeling, local representations for image units are usually generated from their surrounding image patches, thus long-range contextual information is not effectively encoded. In this paper, we introduce recurrent neural networks…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Bing Shuai , Zhen Zuo , Gang Wang , Bing Wang

We propose a class of nonstationary processes to characterize space- and time-varying directional associations in point-referenced data. We are motivated by spatiotemporal modeling of air pollutants in which local wind patterns are key…

Methodology · Statistics 2024-07-30 Bora Jin , Michele Peruzzi , David Dunson

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

In many application areas---lending, education, and online recommenders, for example---fairness and equity concerns emerge when a machine learning system interacts with a dynamically changing environment to produce both immediate and…

Machine Learning · Computer Science 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

Interactive graph search (IGS) uses human intelligence to locate the target node in hierarchy, which can be applied for image classification, product categorization and searching a database. Specifically, IGS aims to categorize an object…

Databases · Computer Science 2022-01-21 Qianhao Cong , Jing Tang , Yuming Huang , Lei Chen , Yeow Meng Chee

The paper "Stack-based Algorithms for Pattern Matching on DAGs" generalizes the classical holistic twig join algorithms and proposes PathStackD, TwigStackD and DagStackD to respectively evaluate path, twig and DAG pattern queries on…

Databases · Computer Science 2012-03-30 Qiang Zeng , Hai Zhuge

Causal graphs, such as directed acyclic graphs (DAGs) and partial ancestral graphs (PAGs), represent causal relationships among variables in a model. Methods exist for learning DAGs and PAGs from data and for converting DAGs to PAGs.…

Machine Learning · Statistics 2018-01-19 Nishant Subramani

Given a collection of points in R^3, KD-Tree and R-Tree are well-known nearest neighbor search (NNS) algorithms that rely on space partitioning and spatial indexing techniques. However, when the query point is far from the data points or…

Computational Geometry · Computer Science 2025-07-30 Pengfei Wang , Jiantao Song , Shiqing Xin , Shuangmin Chen , Changhe Tu , Wenping Wang , Jiaye Wang

Gaussian Dynamic Bayesian Networks (GDBNs) are a widely used tool for learning network structures from continuous time-series data. To capture both time-lagged and contemporaneous dependencies, advanced GDBNs allow for dynamic inter-slice…

Computation · Statistics 2025-12-17 Kezhuo Li , Marco Grzegorczyk

Graph neural networks, a popular class of models effective in a wide range of graph-based learning tasks, have been shown to be vulnerable to adversarial attacks. While the majority of the literature focuses on such vulnerability in…

Machine Learning · Statistics 2021-11-05 Xingchen Wan , Henry Kenlay , Binxin Ru , Arno Blaas , Michael A. Osborne , Xiaowen Dong

This work aims to learn the directed acyclic graph (DAG) that captures the instantaneous dependencies underlying a multivariate time series. The observed data follow a linear structural vector autoregressive model (SVARM) with both…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Samuel Rey , Gonzalo Mateos

DAG (directed acyclic graph) tasks are widely used to model parallel real-time workload. The real-time performance of a DAG task not only depends on its total workload, but also its graph structure. Intuitively, with the same total…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-26 Qingqiang He , Nan Guan , Mingsong Lv

Heretofore, learning the directed acyclic graphs (DAGs) that encode the cause-effect relationships embedded in observational data is a computationally challenging problem. A recent trend of studies has shown that it is possible to recover…

Machine Learning · Computer Science 2023-07-18 Bao Duong , Thin Nguyen
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