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Causal representation learning is the task of identifying the underlying causal variables and their relations from high-dimensional observations, such as images. Recent work has shown that one can reconstruct the causal variables from…

Machine Learning · Computer Science 2023-03-09 Phillip Lippe , Sara Magliacane , Sindy Löwe , Yuki M. Asano , Taco Cohen , Efstratios Gavves

The Dynamical Graph Grammar (DGG) formalism can describe complex system dynamics with graphs that are mapped into a master equation. An exact stochastic simulation algorithm may be used, but it is slow for large systems. To overcome this…

Quantitative Methods · Quantitative Biology 2024-07-16 Eric Medwedeff , Eric Mjolsness

Quantum dynamics simulations (QDSs) are one of the most highly anticipated applications of quantum computing. Quantum circuit depth for implementing Hamiltonian simulation algorithms is commonly time dependent so that long time dynamics…

Quantum Physics · Physics 2024-08-29 Linyun Wan , Jie Liu , Zhenyu Li , Jinlong Yang

This paper introduces a new causal structure learning method for nonstationary time series data, a common data type found in fields such as finance, economics, healthcare, and environmental science. Our work builds upon the constraint-based…

Statistical Finance · Quantitative Finance 2024-06-10 Agathe Sadeghi , Achintya Gopal , Mohammad Fesanghary

In many applications, such as physiology and finance, large time series data bases are to be analyzed requiring the computation of linear, nonlinear and other measures. Such measures have been developed and implemented in commercial and…

Computation · Statistics 2010-02-10 Dimitris Kugiumtzis , Alkiviadis Tsimpiris

Time series analysis has emerged as an important tool for improving patient diagnosis and management in healthcare applications. However, these applications commonly face two critical challenges: time misalignment and data sparsity.…

Machine Learning · Statistics 2025-09-25 Dohyun Ku , Catherine D. Chong , Visar Berisha , Todd J. Schwedt , Jing Li

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

Methodology · Statistics 2025-02-25 John Zito , Daniel R. Kowal

Causal discovery is fundamental to scientific research, yet traditional statistical algorithms face significant challenges, including expensive data collection, redundant computation for known relations, and unrealistic assumptions. While…

Computation and Language · Computer Science 2025-10-13 Tao Feng , Lizhen Qu , Niket Tandon , Gholamreza Haffari

Conventional time series classification approaches based on bags of patterns or shapelets face significant challenges in dealing with a vast amount of feature candidates from high-dimensional multivariate data. In contrast, deep neural…

Machine Learning · Computer Science 2023-06-07 Raneen Younis , Abdul Hakmeh , Zahra Ahmadi

Traffic crashes profoundly impede traffic efficiency and pose economic challenges. Accurate prediction of post-crash traffic status provides essential information for evaluating traffic perturbations and developing effective solutions.…

Machine Learning · Computer Science 2024-07-22 Shuang Li , Ziyuan Pu , Nan Zhang , Duxin Chen , Lu Dong , Daniel J. Graham , Yinhai Wang

This work presents Causal Drift Generator (CaDrift), a time-dependent synthetic data generator framework based on Structural Causal Models (SCMs). The framework produces a virtually infinite combination of data streams with controlled shift…

Machine Learning · Computer Science 2026-02-25 Eduardo V. L. Barboza , Jean Paul Barddal , Robert Sabourin , Rafael M. O. Cruz

Traffic flow simulation within the domain of intelligent transportation systems is garnering significant attention, and generating realistic, diverse, and human-like traffic patterns presents critical challenges that must be addressed.…

Robotics · Computer Science 2025-07-28 Ze Fu , Licheng Wen , Pinlong Cai , Daocheng Fu , Song Mao , Botian Shi

Machine learning models built on training data with multiple modalities can reveal new insights that are not accessible through unimodal datasets. For example, cardiac magnetic resonance images (MRIs) and electrocardiograms (ECGs) are both…

Machine Learning · Computer Science 2023-12-05 Bum Chul Kwon , Samuel Friedman , Kai Xu , Steven A Lubitz , Anthony Philippakis , Puneet Batra , Patrick T Ellinor , Kenney Ng

Understanding time series is crucial for its application in real-world scenarios. Recently, large language models (LLMs) have been increasingly applied to time series tasks, leveraging their strong language capabilities to enhance various…

Artificial Intelligence · Computer Science 2026-01-06 Zhe Xie , Zeyan Li , Xiao He , Longlong Xu , Xidao Wen , Tieying Zhang , Jianjun Chen , Rui Shi , Dan Pei

Time series generation (TSG) synthesizes realistic sequences and has achieved remarkable success. Among TSG, conditional models generate sequences given observed covariates, however, such models learn observational correlations without…

Machine Learning · Computer Science 2026-05-15 Yutong Xia , Chang Xu , Yuxuan Liang , Li Zhao , Qingsong Wen , Roger Zimmermann , Jiang Bian

We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

Methodology · Statistics 2020-07-28 Rahi Kalantari , Mingyuan Zhou

Multivariate time series data typically comprises two distinct modalities: variable semantics and sampled numerical observations. Traditional time series models treat variables as anonymous statistical signals, overlooking the rich semantic…

Machine Learning · Computer Science 2025-08-18 Yifei Sun , Junming Liu , Yirong Chen , Xuefeng Yan , Ding Wang

Most neural models of causality assume static causal graphs, failing to capture the dynamic and sparse nature of physical interactions where causal relationships emerge and dissolve over time. We introduce the Causal Process Framework and…

Machine Learning · Computer Science 2026-04-07 Turan Orujlu , Christian Gumbsch , Martin V. Butz , Charley M Wu

In recent years, Transformers have become the de-facto architecture for long-term sequence forecasting (LTSF), but faces challenges such as quadratic complexity and permutation invariant bias. A recent model, Mamba, based on selective state…

Machine Learning · Computer Science 2024-05-28 Xiuding Cai , Yaoyao Zhu , Xueyao Wang , Yu Yao

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