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We propose an image-based flow decomposition developed from the two-dimensional (2D) tensor empirical wavelet transform (EWT) (Gilles 2013). The idea is to decompose the instantaneous flow data, or its visualisation, adaptively according to…

Fluid Dynamics · Physics 2020-12-24 Jie Ren , Xuerui Mao , Song Fu

For centuries, scientists have observed nature to understand the laws that govern the physical world. The traditional process of turning observations into physical understanding is slow. Imperfect models are constructed and tested to…

Machine Learning · Computer Science 2023-01-27 M. Giselle Fernández-Godino , Donald D. Lucas , Qingkai Kong

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

We propose a counterfactual approach to train ``causality-aware" predictive models that are able to leverage causal information in static anticausal machine learning tasks (i.e., prediction tasks where the outcome influences the features).…

Applications · Statistics 2020-12-01 Elias Chaibub Neto

Classical machine learning techniques often struggle with overfitting and unreliable predictions when exposed to novel conditions. Introducing causality into the modelling process offers a promising way to mitigate these challenges by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 David Zapata Gonzalez , Marcel Meyer , Oliver Mueller

Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed…

Methodology · Statistics 2024-07-26 Aritra Halder , Didong Li , Sudipto Banerjee

The process of generating data such as images is controlled by independent and unknown factors of variation. The retrieval of these variables has been studied extensively in the disentanglement, causal representation learning, and…

Machine Learning · Computer Science 2023-09-26 Gaël Gendron , Michael Witbrock , Gillian Dobbie

A physics-based data-driven computational framework for the quantitative analysis of vortex kinematics and vortex-induced loads in vortex-dominated problems is presented. Such flows are characterized by the dominant influence of a small…

Fluid Dynamics · Physics 2021-07-28 Karthik Menon , Rajat Mittal

A convolutional encoder-decoder-based transformer model is proposed for autoregressively training on spatio-temporal data of turbulent flows. The prediction of future fluid flow fields is based on the previously predicted fluid flow field…

Fluid Dynamics · Physics 2023-03-31 Aakash Patil , Jonathan Viquerat , Elie Hachem

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

Learning-based 3D reconstruction using implicit neural representations has shown promising progress not only at the object level but also in more complicated scenes. In this paper, we propose Dynamic Plane Convolutional Occupancy Networks,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Stefan Lionar , Daniil Emtsev , Dusan Svilarkovic , Songyou Peng

Energy estimation is critical to impact identification on aerospace composites, where low-velocity impacts can induce internal damage that is undetectable at the surface. Current methodologies for energy prediction are often constrained by…

We present a constraint-based algorithm for learning causal structures from observational time-series data, in the presence of latent confounders. We assume a discrete-time, stationary structural vector autoregressive process, with both…

Artificial Intelligence · Computer Science 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

Causal representation learning seeks to extract high-level latent factors from low-level sensory data. Most existing methods rely on observational data and structural assumptions (e.g., conditional independence) to identify the latent…

Machine Learning · Statistics 2024-02-26 Kartik Ahuja , Divyat Mahajan , Yixin Wang , Yoshua Bengio

Due to the profound impact of air pollution on human health, livelihoods, and economic development, air quality forecasting is of paramount significance. Initially, we employ the causal graph method to scrutinize the constraints of existing…

Artificial Intelligence · Computer Science 2025-05-27 Jiaming Ma , Guanjun Wang , Sheng Huang , Kuo Yang , Binwu Wang , Pengkun Wang , Yang Wang

Reliable 4D aircraft trajectory prediction, whether in a real-time setting or for analysis of counterfactuals, is important to the efficiency of the aviation system. Toward this end, we first propose a highly generalizable efficient…

Machine Learning · Computer Science 2019-01-01 Yulin Liu , Mark Hansen

We propose a novel Bayesian approach to modelling nonlinear alignments of time series based on latent shared information. We apply the method to the real-world problem of finding common structure in the sensor data of wind turbines…

Machine Learning · Statistics 2018-05-24 Markus Kaiser , Clemens Otte , Thomas Runkler , Carl Henrik Ek

The aim of this work is to analyse the formation mechanisms of large-scale coherent structures in the flow around a wall-mounted square cylinder, due to their impact on pollutant transport within cities. To this end, we assess causal…

We propose a deep probabilistic-neural-network architecture for learning a minimal and near-orthogonal set of non-linear modes from high-fidelity turbulent-flow-field data useful for flow analysis, reduced-order modeling, and flow control.…

Fluid Dynamics · Physics 2021-09-06 Hamidreza Eivazi , Soledad Le Clainche , Sergio Hoyas , Ricardo Vinuesa

In many scientific problems such as video surveillance, modern genomics, and finance, data are often collected from diverse measurements across time that exhibit time-dependent heterogeneous properties. Thus, it is important to not only…

Machine Learning · Statistics 2022-10-10 Lin Qiu , Vernon M. Chinchilli , Lin Lin