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On time-series data, most causal discovery methods fit a new model whenever they encounter samples from a new underlying causal graph. However, these samples often share relevant information which is lost when following this approach.…

机器学习 · 计算机科学 2022-02-24 Sindy Löwe , David Madras , Richard Zemel , Max Welling

This paper studies causal discovery in irregularly sampled time series-a key challenge in risk-sensitive domains like finance, healthcare, and climate science, where missing data and inconsistent sampling frequencies distort causal…

机器学习 · 计算机科学 2026-05-12 Weihong Li , Baohong Li , Anpeng Wu , Zhihan Li , Ming Ma , Keting Yin , Kun Kuang

Determining hidden shared patterns behind dynamic phenomena can be a game-changer in multiple areas of research. Here we present the principles and show a method to identify hidden shared dynamics from time series by a two-module,…

神经与进化计算 · 计算机科学 2024-12-04 Zsigmond Benkő , Zoltán Somogyvári

We reveal that transformers trained in an autoregressive manner naturally encode time-delayed causal structures in their learned representations. When predicting future values in multivariate time series, the gradient sensitivities of…

机器学习 · 计算机科学 2026-01-12 Xinyue Wang , Stephen Wang , Biwei Huang

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

机器学习 · 计算机科学 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

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…

人工智能 · 计算机科学 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

This paper presents a computational framework that generates ensemble predictive mechanics models with uncertainty quantification (UQ). We first develop a causal discovery algorithm to infer causal relations among time-history data measured…

机器学习 · 计算机科学 2021-05-24 Xiao Sun , Bahador Bahmani , Nikolaos N. Vlassis , WaiChing Sun , Yanxun Xu

Uncovering cause-effect relationships from observational time series is fundamental to understanding complex systems. While many methods infer static causal graphs, real-world systems often exhibit dynamic causality-where relationships…

机器学习 · 计算机科学 2025-11-06 Tingzhu Bi , Yicheng Pan , Xinrui Jiang , Huize Sun , Meng Ma , Ping Wang

Causal discovery from data affected by latent confounders is an important and difficult challenge. Causal functional model-based approaches have not been used to present variables whose relationships are affected by latent confounders,…

机器学习 · 计算机科学 2020-11-05 Takashi Nicholas Maeda , Shohei Shimizu

To uncover the city's fundamental functioning mechanisms, it is important to acquire a deep understanding of complicated relationships among citizens, location, and mobility behaviors. Previous research studies have applied direct…

人工智能 · 计算机科学 2025-03-11 Tao Feng , Yunke Zhang , Xiaochen Fan , Huandong Wang , Yong Li

We study the problem of graph structure identification, i.e., of recovering the graph of dependencies among time series. We model these time series data as components of the state of linear stochastic networked dynamical systems. We assume…

机器学习 · 计算机科学 2023-06-29 Sérgio Machado , Anirudh Sridhar , Paulo Gil , Jorge Henriques , José M. F. Moura , Augusto Santos

Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics and network…

数据分析、统计与概率 · 物理学 2016-05-11 Jacopo Iacovacci , Lucas Lacasa

The dynamics of time-reversible systems are statistically indistinguishable when observed forward or backward in time. A rich literature of statistical methods to distinguish irreversible dynamics from the reversible dynamics of linear,…

数据分析、统计与概率 · 物理学 2026-04-20 Teresa Dalle Nogare , Ben D. Fulcher

Many applications collect a large number of time series, for example, the financial data of companies quoted in a stock exchange, the health care data of all patients that visit the emergency room of a hospital, or the temperature sequences…

信息论 · 计算机科学 2017-02-09 Jonathan Mei , José M. F. Moura

Causal discovery, the task of inferring causal structure from data, has the potential to uncover mechanistic insights from biological experiments, especially those involving perturbations. However, causal discovery algorithms over larger…

机器学习 · 计算机科学 2025-04-01 Menghua Wu , Yujia Bao , Regina Barzilay , Tommi Jaakkola

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

动力系统 · 数学 2023-05-17 Nan Chen , Yinling Zhang

Interacting systems are prevalent in nature. It is challenging to accurately predict the dynamics of the system if its constituent components are analyzed independently. We develop a graph-based model that unveils the systemic interactions…

机器学习 · 计算机科学 2024-10-31 Giangiacomo Mercatali , Andre Freitas , Jie Chen

Can the direction of time and the causal structure of space-time be inferred from operational principles? Causal models and tensor networks offer complementary perspectives: the former encodes cause-effect relations via directed graphs,…

量子物理 · 物理学 2026-03-16 Carla Ferradini , Giulia Mazzola , V. Vilasini

Revealing physical interactions in complex systems from observed collective dynamics constitutes a fundamental inverse problem in science. Current reconstruction methods require access to a system's model or dynamical data at a level of…

物理与社会 · 物理学 2018-01-18 Mor Nitzan , Jose Casadiego , Marc Timme

This article considers the problem of reconstructing unknown driving forces based on incomplete knowledge of the system and its state. This is studied in both a linear and nonlinear setting that is paradigmatic in geophysical fluid dynamics…

最优化与控制 · 数学 2025-04-02 Jochen Bröcker , Giulia Carigi , Tobias Kuna , Vincent R. Martinez
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