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Promising results have driven a recent surge of interest in continuous optimization methods for Bayesian network structure learning from observational data. However, there are theoretical limitations on the identifiability of underlying…

We consider structural equation models in which variables can be written as a function of their parents and noise terms, which are assumed to be jointly independent. Corresponding to each structural equation model, there is a directed…

Machine Learning · Statistics 2014-06-03 Jonas Peters , Peter Bühlmann

Time series are the primary data type used to record dynamic system measurements and generated in great volume by both physical sensors and online processes (virtual sensors). Time series analytics is therefore crucial to unlocking the…

Machine Learning · Computer Science 2024-08-12 Ming Jin , Huan Yee Koh , Qingsong Wen , Daniele Zambon , Cesare Alippi , Geoffrey I. Webb , Irwin King , Shirui Pan

Times series classification can be successfully tackled by jointly learning a shapelet-based representation of the series in the dataset and classifying the series according to this representation. However, although the learned shapelets…

Machine Learning · Computer Science 2019-06-13 Yichang Wang , Rémi Emonet , Elisa Fromont , Simon Malinowski , Etienne Menager , Loïc Mosser , Romain Tavenard

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

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

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

This paper discusses the prediction of hierarchical time series, where each upper-level time series is calculated by summing appropriate lower-level time series. Forecasts for such hierarchical time series should be coherent, meaning that…

Machine Learning · Computer Science 2021-01-27 Tomokaze Shiratori , Ken Kobayashi , Yuichi Takano

Discovering causal relations from observational time series without making the stationary assumption is a significant challenge. In practice, this challenge is common in many areas, such as retail sales, transportation systems, and medical…

Machine Learning · Computer Science 2024-07-11 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu

Regularization improves generalization of supervised models to out-of-sample data. Prior works have shown that prediction in the causal direction (effect from cause) results in lower testing error than the anti-causal direction. However,…

Machine Learning · Computer Science 2020-09-29 Trent Kyono , Yao Zhang , Mihaela van der Schaar

Electronic Health Records (EHR) are high-dimensional data with implicit connections among thousands of medical concepts. These connections, for instance, the co-occurrence of diseases and lab-disease correlations can be informative when…

Machine Learning · Computer Science 2021-03-29 Weicheng Zhu , Narges Razavian

The purpose of this paper is to infer a global (collective) model of time-varying responses of a set of nodes as a dynamic graph, where the individual time series are respectively observed at each of the nodes. The motivation of this work…

Signal Processing · Electrical Eng. & Systems 2020-02-18 Bo Jiang , Ashkan Panahi , Hamid Krim , Yiyi Yu , Spencer L. Smith

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Accurate traffic flow forecasting is a crucial research topic in transportation management. However, it is a challenging problem due to rapidly changing traffic conditions, high nonlinearity of traffic flow, and complex spatial and temporal…

Machine Learning · Computer Science 2024-06-06 Sanghyun Lee , Chanyoung Park

Recurrent neural networks (RNNs) are a popular choice for modeling sequential data. Modern RNN architectures assume constant time-intervals between observations. However, in many datasets (e.g. medical records) observation times are…

Machine Learning · Computer Science 2022-07-27 Mona Schirmer , Mazin Eltayeb , Stefan Lessmann , Maja Rudolph

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

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

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava