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We study the problem of actively learning a non-parametric choice model based on consumers' decisions. We present a negative result showing that such choice models may not be identifiable. To overcome the identifiability problem, we…

Machine Learning · Computer Science 2024-04-26 Fransisca Susan , Negin Golrezaei , Ehsan Emamjomeh-Zadeh , David Kempe

It has been recently shown that a powerful way to constrain cosmological parameters from galaxy redshift surveys is to train graph neural networks to perform field-level likelihood-free inference without imposing cuts on scale. In…

Some temporal networks, most notably citation networks, are naturally represented as directed acyclic graphs (DAGs). To detect communities in DAGs, we propose a modularity for DAGs by defining an appropriate null model (i.e., randomized…

Physics and Society · Physics 2015-08-13 Leo Speidel , Taro Takaguchi , Naoki Masuda

Hierarchical models for regionally aggregated disease incidence data commonly involve region specific latent random effects that are modeled jointly as having a multivariate Gaussian distribution. The covariance or precision matrix…

Methodology · Statistics 2019-04-30 Abhirup Datta , Sudipto Banerjee , James S. Hodges

Posterior distributions arising in ill-posed Bayesian inverse problems are often both analytically intractable and highly sensitive to parameters of the chosen prior family. We aim to understand the sensitivity of intractable posterior…

Methodology · Statistics 2026-04-20 Yucong Liu , Zilai Si , Alexander Strang

Unbiased data synthesis is crucial for evaluating causal discovery algorithms in the presence of unobserved confounding, given the scarcity of real-world datasets. A common approach, implicit parameterization, encodes unobserved confounding…

Machine Learning · Statistics 2025-04-02 Xudong Sun , Alex Markham , Pratik Misra , Carsten Marr

Understanding causal dependencies in observational data is critical for informing decision-making. These relationships are often modeled as Bayesian Networks (BNs) and Directed Acyclic Graphs (DAGs). Existing methods, such as NOTEARS and…

Machine Learning · Computer Science 2026-04-03 Hao Zhu , Di Zhou , Donna Slonim

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

We describe a hierarchical data analysis pipeline for coherently searching for gravitational wave (GW) signals from non-spinning compact binary coalescences (CBCs) in the data of multiple earth-based detectors. It assumes no prior…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Sukanta Bose , Thilina Dayanga , Shaon Ghosh , Dipongkar Talukder

Many methods for causal inference generate directed acyclic graphs (DAGs) that formalize causal relations between $n$ variables. Given the joint distribution on all these variables, the DAG contains all information about how intervening on…

Statistics Theory · Mathematics 2014-01-29 Dominik Janzing , David Balduzzi , Moritz Grosse-Wentrup , Bernhard Schölkopf

Modern astronomy increasingly relies upon systematic surveys, whose dedicated telescopes continuously observe the sky across varied wavelength ranges of the electromagnetic spectrum; some surveys also observe non-electromagnetic…

Instrumentation and Methods for Astrophysics · Physics 2016-10-14 Tamas Budavari , Thomas J. Loredo

Directed acyclic graphs (DAGs) with hidden variables are often used to characterize causal relations between variables in a system. When some variables are unobserved, DAGs imply a notoriously complicated set of constraints on the…

Machine Learning · Statistics 2023-02-23 Noam Finkelstein , Beata Zjawin , Elie Wolfe , Ilya Shpitser , Robert W. Spekkens

In many data analyses, each measurement may come with a simple yes/no correction; for example, belonging to one of two populations or being contaminated or not. Ignoring such binary effects may bias the results, while accounting for them…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Marcus Högås , Edvard Mörtsell

Bayesian Networks (BNs) represent conditional probability relations among a set of random variables (nodes) in the form of a directed acyclic graph (DAG), and have found diverse applications in knowledge discovery. We study the problem of…

Optimization and Control · Mathematics 2022-05-10 Simge Kucukyavuz , Ali Shojaie , Hasan Manzour , Linchuan Wei , Hao-Hsiang Wu

Mining discriminative features for graph data has attracted much attention in recent years due to its important role in constructing graph classifiers, generating graph indices, etc. Most measurement of interestingness of discriminative…

Machine Learning · Computer Science 2013-01-29 Xiangnan Kong , Philip S. Yu , Xue Wang , Ann B. Ragin

We develop a general methodological framework for probabilistic inference in discrete- and continuous-time stochastic processes evolving on directed acyclic graphs (DAGs). The process is observed only at the leaf nodes, and the challenge is…

Methodology · Statistics 2025-05-27 Frank van der Meulen , Moritz Schauer , Stefan Sommer

Causal discovery in real-world systems, such as biological networks, is often complicated by feedback loops and incomplete data. Standard algorithms, which assume acyclic structures or fully observed data, struggle with these challenges. To…

Machine Learning · Statistics 2026-04-07 Muralikrishnna G. Sethuraman , Razieh Nabi , Faramarz Fekri

We report a scalable hybrid quantum-classical machine learning framework to build Bayesian networks (BN) that captures the conditional dependence and causal relationships of random variables. The generation of a BN consists of finding a…

Machine Learning · Computer Science 2019-01-31 Radhakrishnan Balu , Ajinkya Borle

Estimating the structure of directed acyclic graphs (DAGs) of features (variables) plays a vital role in revealing the latent data generation process and providing causal insights in various applications. Although there have been many…

Machine Learning · Computer Science 2024-03-06 Shaohua Fan , Shuyang Zhang , Xiao Wang , Chuan Shi

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
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