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Prior work has shown that causal structure can be uniquely identified from observational data when these follow a structural equation model whose error terms have equal variances. We show that this fact is implied by an ordering among…

Methodology · Statistics 2021-05-25 Wenyu Chen , Mathias Drton , Y. Samuel Wang

Causal inference from observational datasets often relies on measuring and adjusting for covariates. In practice, measurements of the covariates can often be noisy and/or biased, or only measurements of their proxies may be available.…

Machine Learning · Computer Science 2022-02-23 Wenshuo Guo , Mingzhang Yin , Yixin Wang , Michael I. Jordan

We consider the problem of identifying the causal direction between two discrete random variables using observational data. Unlike previous work, we keep the most general functional model but make an assumption on the unobserved exogenous…

Artificial Intelligence · Computer Science 2016-11-16 Murat Kocaoglu , Alexandros G. Dimakis , Sriram Vishwanath , Babak Hassibi

Recent years have seen many advances in methods for causal structure learning from data. The empirical assessment of such methods, however, is much less developed. Motivated by this gap, we pose the following question: how can one assess,…

Methodology · Statistics 2020-06-30 Marco F. Eigenmann , Sach Mukherjee , Marloes H. Maathuis

Robust loss minimization is an important strategy for handling robust learning issue on noisy labels. Current approaches for designing robust losses involve the introduction of noise-robust factors, i.e., hyperparameters, to control the…

Machine Learning · Computer Science 2023-09-06 Kehui Ding , Jun Shu , Deyu Meng , Zongben Xu

Causal modeling provides us with powerful counterfactual reasoning and interventional mechanism to generate predictions and reason under various what-if scenarios. However, causal discovery using observation data remains a nontrivial task…

Machine Learning · Computer Science 2023-01-06 Jawad Chowdhury , Rezaur Rashid , Gabriel Terejanu

We consider the problem of causal discovery (structure learning) from heterogeneous observational data. Most existing methods assume a homogeneous sampling scheme, which leads to misleading conclusions when violated in many applications. To…

Methodology · Statistics 2022-02-01 Fangting Zhou , Kejun He , Yang Ni

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

In this paper we study how the choice of loss functions of non-convex optimization problems affects their robustness and optimization landscape, through the study of noisy matrix sensing. In traditional regression tasks, mean squared error…

Machine Learning · Computer Science 2026-01-06 Xinyuan Song , Ziye Ma

The class of problems in causal inference which seeks to isolate causal correlations solely from observational data even without interventions has come to the forefront of machine learning, neuroscience and social sciences. As new large…

Emerging Technologies · Computer Science 2022-01-02 Mohammad Ali Javidian , Vaneet Aggarwal , Fanglin Bao , Zubin Jacob

This paper focuses on causal structure estimation from time series data in which measurements are obtained at a coarser timescale than the causal timescale of the underlying system. Previous work has shown that such subsampling can lead to…

Artificial Intelligence · Computer Science 2016-07-14 Antti Hyttinen , Sergey Plis , Matti Järvisalo , Frederick Eberhardt , David Danks

Tensors are multi-way arrays, and the Candecomp/Parafac (CP) tensor factorization has found application in many different domains. The CP model is typically fit using a least squares objective function, which is a maximum likelihood…

Numerical Analysis · Mathematics 2010-10-18 Eric C. Chi , Tamara G. Kolda

We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

Understanding causal relationships in multivariate time series is crucial in many scenarios, such as those dealing with financial or neurological data. Many such time series exhibit multiple regimes, i.e., consecutive temporal segments with…

Machine Learning · Computer Science 2025-10-24 Abdellah Rahmani , Pascal Frossard

For the purpose of causal inference we employ a stochastic model of the data generating process, utilizing individual propensity probabilities for the treatment, and also individual and counterfactual prognosis probabilities for the…

Methodology · Statistics 2024-07-15 Brian Knaeble , Mehdi Hakim-Hashemi , Mark A. Abramson

We present a noise guided trajectory based system identification method for inferring the dynamical structure from observation generated by stochastic differential equations. Our method can handle various kinds of noise, including the case…

Numerical Analysis · Mathematics 2024-03-06 Ziheng Guo , Igor Cialenco , Ming Zhong

Robust causal discovery from observational data under imperfect prior knowledge remains a significant and largely unresolved challenge. Existing methods typically presuppose perfect priors or can only handle specific, pre-identified error…

Machine Learning · Computer Science 2025-11-11 Zidong Wang , Xi Lin , Chuchao He , Xiaoguang Gao

Dynamic causal discovery in wireless networks is essential due to evolving interference, fading, and mobility, which complicate traditional static causal models. This paper addresses causal inference challenges in dynamic fading wireless…

Machine Learning · Computer Science 2025-11-11 Oluwaseyi Giwa

This work proposes a new loss function targeting classification problems, utilizing a source of information overlooked by cross entropy loss. First, we derive a series of the tightest upper and lower bounds for the probability of a random…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Ali Ghobadzadeh , Amir Lashkari

Learning the unique directed acyclic graph corresponding to an unknown causal model is a challenging task. Methods based on functional causal models can identify a unique graph, but either suffer from the curse of dimensionality or impose…

Machine Learning · Computer Science 2025-01-14 Sujai Hiremath , Jacqueline R. M. A. Maasch , Mengxiao Gao , Promit Ghosal , Kyra Gan