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We introduce an interpretable deep learning model for multivariate time series forecasting that prioritizes both predictive performance and interpretability - key requirements for understanding complex physical phenomena. Our model not only…

机器学习 · 统计学 2025-01-28 Davor Horvatic , Domjan Baric

Forecasting multivariate time series data, which involves predicting future values of variables over time using historical data, has significant practical applications. Although deep learning-based models have shown promise in this field,…

机器学习 · 计算机科学 2023-06-16 Zahra Fatemi , Minh Huynh , Elena Zheleva , Zamir Syed , Xiaojun Di

The time-dependent fields obtained by solving partial differential equations in two and more dimensions quickly overwhelm the analytical capabilities of the human brain. A meaningful insight into the temporal behaviour can be obtained by…

数值分析 · 数学 2024-04-04 Miha Rot , Martin Horvat , Gregor Kosec

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…

机器学习 · 计算机科学 2026-04-07 Turan Orujlu , Christian Gumbsch , Martin V. Butz , Charley M Wu

Learning accurate predictive models of real-world dynamic phenomena (e.g., climate, biological) remains a challenging task. One key issue is that the data generated by both natural and artificial processes often comprise time series that…

机器学习 · 计算机科学 2023-06-21 Abdul Fatir Ansari , Alvin Heng , Andre Lim , Harold Soh

Advances in data collection are producing growing volumes of temporal count observations, making adapted modeling increasingly necessary. In this work, we introduce a generative framework for independent component analysis of temporal count…

统计方法学 · 统计学 2026-01-30 Alexandre Chaussard , Anna Bonnet , Sylvain Le Corff

Traditional methods for demand forecasting only focus on modeling the temporal dependency. However, forecasting on spatio-temporal data requires modeling of complex nonlinear relational and spatial dependencies. In addition, dynamic…

机器学习 · 计算机科学 2020-09-29 Hongjie Chen , Ryan A. Rossi , Kanak Mahadik , Hoda Eldardiry

Exploring causal relationships in stochastic time series is a challenging yet crucial task with a vast range of applications, including finance, economics, neuroscience, and climate science. Many algorithms for Causal Discovery (CD) have…

机器学习 · 计算机科学 2026-02-19 Matteo Tusoni , Giuseppe Masi , Andrea Coletta , Aldo Glielmo , Viviana Arrigoni , Novella Bartolini

We introduce the Discrete Inverse Continuity Equation (DICE) method, a generative modeling approach that learns the evolution of a stochastic process from given sample populations at a finite number of time points. Models learned with DICE…

机器学习 · 计算机科学 2025-07-08 Tobias Blickhan , Jules Berman , Andrew Stuart , Benjamin Peherstorfer

The estimator of a causal directed acyclic graph (DAG) with the PC algorithm is known to be consistent based on independent and identically distributed samples. In this paper, we consider the scenario when the multivariate samples are…

统计方法学 · 统计学 2023-11-07 Rahul Biswas , Somabha Mukherjee

Inductive Conformal Prediction (ICP) is a set of distribution-free and model agnostic algorithms devised to predict with a user-defined confidence with coverage guarantee. Instead of having point predictions, i.e., a real number in the case…

机器学习 · 统计学 2022-07-05 Martim Sousa

Identifying the main features and learning the causal relationships of a dynamic system from time-series of sensor data are key problems in many real-world robot applications. In this paper, we propose an extension of a state-of-the-art…

机器人学 · 计算机科学 2023-02-21 Luca Castri , Sariah Mghames , Marc Hanheide , Nicola Bellotto

Urban flow prediction is a classic spatial-temporal forecasting task that estimates the amount of future traffic flow for a given location. Though models represented by Spatial-Temporal Graph Neural Networks (STGNNs) have established…

机器学习 · 计算机科学 2024-12-10 Haiyang Jiang , Tong Chen , Wentao Zhang , Nguyen Quoc Viet Hung , Yuan Yuan , Yong Li , Lizhen Cui

Explaining artificial intelligence or machine learning models is increasingly important. To use such data-driven systems wisely we must understand how they interact with the world, including how they depend causally on data inputs. In this…

机器学习 · 计算机科学 2023-07-06 Joshua R. Loftus , Lucius E. J. Bynum , Sakina Hansen

Time-varying dependence is often modeled with dynamic correlations or Gaussian graphical models, but multivariate systems can change through tail behavior, asymmetry, or conditional structure even when correlations are nearly stable. We…

机器学习 · 统计学 2026-05-08 Houman Safaai , Alessandro Marin Vargas

Conditional diffusion models provide a natural framework for probabilistic prediction of dynamical systems and have been successfully applied to fluid dynamics and weather prediction. However, in many settings, the available information at…

Recently, methods have been proposed that exploit the invariance of prediction models with respect to changing environments to infer subsets of the causal parents of a response variable. If the environments influence only few of the…

统计方法学 · 统计学 2022-07-11 Phillip B. Mogensen , Nikolaj Thams , Jonas Peters

Dynamic networks models describe temporal interactions between social actors, and as such have been used to describe financial fraudulent transactions, dispersion of destructive invasive species across the globe, and the spread of fake…

统计方法学 · 统计学 2025-03-06 Melania Lembo , Ester Riccardi , Veronica Vinciotti , Ernst C. Wit

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

神经元与认知 · 定量生物学 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

In this paper, we present a data-driven distributed model predictive control (MPC) scheme to stabilise the origin of dynamically coupled discrete-time linear systems subject to decoupled input constraints. The local optimisation problems…

系统与控制 · 电气工程与系统科学 2023-08-14 Matthias Köhler , Julian Berberich , Matthias A. Müller , Frank Allgöwer
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