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Graph neural networks (GNNs) have attracted considerable attention due to their diverse applications. However, the scarcity and quality limitations of graph data present challenges to their training process in practical settings. To…

Machine Learning · Computer Science 2024-11-07 Hanyang Yuan , Jiarong Xu , Renhong Huang , Mingli Song , Chunping Wang , Yang Yang

The increasingly wide use of deep machine learning techniques in computational mechanics has significantly accelerated simulations of problems that were considered unapproachable just a few years ago. However, in critical applications such…

Machine Learning · Computer Science 2026-04-01 David Gonzalez , Alba Muixi , Beatriz Moya , Elias Cueto

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

General Economics · Economics 2023-02-07 Niels Gillmann , Ostap Okhrin

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

Machine Learning · Statistics 2018-07-03 Jonathan Mei , José M. F. Moura

Data-driven modeling of collective dynamics is a challenging problem because emergent phenomena in multi-agent systems are often shaped by long-range interactions among individuals. For example, in bird flocks and fish schools, long-range…

Fluid Dynamics · Physics 2025-01-03 Alec J. Linot , Haotian Hang , Eva Kanso , Kunihiko Taira

Weather Forecasting is an attractive challengeable task due to its influence on human life and complexity in atmospheric motion. Supported by massive historical observed time series data, the task is suitable for data-driven approaches,…

Machine Learning · Computer Science 2022-09-20 Minbo Ma , Peng Xie , Fei Teng , Tianrui Li , Bin Wang , Shenggong Ji , Junbo Zhang

Accurate multivariate time series forecasting hinges on inter-series correlations, which often evolve in complex ways across different temporal scales. Existing methods are limited in modeling these multi-scale dependencies and struggle to…

Machine Learning · Computer Science 2026-01-27 Shaoxun Wang , Xingjun Zhang , Qianyang Li , Jiawei Cao , Zhendong Tan

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

Machine Learning · Computer Science 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

Demand forecasting is a prominent business use case that allows retailers to optimize inventory planning, logistics, and core business decisions. One of the key challenges in demand forecasting is accounting for relationships and…

Machine Learning · Computer Science 2024-01-25 Nikita Kozodoi , Elizaveta Zinovyeva , Simon Valentin , João Pereira , Rodrigo Agundez

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

Simulations are ubiquitous in machine learning. Especially in graph learning, simulations of Directed Acyclic Graphs (DAG) are being deployed for evaluating new algorithms. In the literature, it was recently argued that…

Machine Learning · Computer Science 2022-06-16 Jonas Seng , Matej Zečević , Devendra Singh Dhami , Kristian Kersting

In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features…

Machine Learning · Computer Science 2020-11-25 Charilaos Mylonas , Eleni Chatzi

We present a graph-regularized learning of Gaussian Mixture Models (GMMs) in distributed settings with heterogeneous and limited local data. The method exploits a provided similarity graph to guide parameter sharing among nodes, avoiding…

Machine Learning · Computer Science 2025-09-18 Shamsiiat Abdurakhmanova , Alex Jung

We present a neural network based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The framework is consistently applicable throughout a range of volatility models…

Mathematical Finance · Quantitative Finance 2019-08-26 Blanka Horvath , Aitor Muguruza , Mehdi Tomas

This paper aims to enrich the capabilities of existing deep learning-based automated valuation models through an efficient graph representation of peer dependencies, thus capturing intricate spatial relationships. In particular, we develop…

Machine Learning · Computer Science 2024-05-13 Enrique Riveros , Carla Vairetti , Christian Wegmann , Santiago Truffa , Sebastián Maldonado

Spatial-temporal graph modeling is an important task to analyze the spatial relations and temporal trends of components in a system. Existing approaches mostly capture the spatial dependency on a fixed graph structure, assuming that the…

Machine Learning · Computer Science 2019-06-04 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Chengqi Zhang

Representation learning models for graphs are a successful family of techniques that project nodes into feature spaces that can be exploited by other machine learning algorithms. Since many real-world networks are inherently dynamic, with…

Machine Learning · Computer Science 2020-06-26 Simone Piaggesi , André Panisson

Graphical models have been popularly used for capturing conditional independence structure in multivariate data, which are often built upon independent and identically distributed observations, limiting their applicability to complex…

Methodology · Statistics 2025-07-03 Yuwen Wang , Changyu Liu , Xin He , Junhui Wang