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We present a new approach for predictive modeling and its uncertainty quantification for mechanical systems, where coarse-grained models such as constitutive relations are derived directly from observation data. We explore the use of a…

Numerical Analysis · Mathematics 2020-06-24 Daniel Z. Huang , Kailai Xu , Charbel Farhat , Eric Darve

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Conformal prediction has recently emerged as a promising strategy for quantifying the uncertainty of a predictive model; these algorithms modify the model to output sets of labels that are guaranteed to contain the true label with high…

Machine Learning · Computer Science 2025-03-11 Botong Zhang , Shuo Li , Osbert Bastani

The use of deep neural network (DNN) models as surrogates for linear and nonlinear structural dynamical systems is explored. The goal is to develop DNN based surrogates to predict structural response, i.e., displacements and accelerations,…

Machine Learning · Computer Science 2021-11-05 Nan Feng , Guodong Zhang , Kapil Khandelwal

Arguably the key reason for the success of deep neural networks is their ability to autonomously form non-linear combinations of the input features, which can be used in subsequent layers of the network. The analogon to this capability in…

Machine Learning · Computer Science 2020-12-09 Johannes Fürnkranz , Eyke Hüllermeier , Eneldo Loza Mencía , Michael Rapp

Structured prediction involves learning to predict complex structures rather than simple scalar values. The main challenge arises from the non-Euclidean nature of the output space, which generally requires relaxing the problem formulation.…

Machine Learning · Statistics 2024-11-19 Junjie Yang , Matthieu Labeau , Florence d'Alché-Buc

Urbanization has a strong impact on the health and wellbeing of populations across the world. Predictive spatial modeling of urbanization therefore can be a useful tool for effective public health planning. Many spatial urbanization models…

Machine Learning · Computer Science 2021-12-20 Tang Li , Jing Gao , Xi Peng

Deep neural networks (DNNs) with high expressiveness have achieved state-of-the-art performance in many tasks. However, their distributed feature representations are difficult to interpret semantically. In this work, human-interpretable…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Jindong Gu , Volker Tresp

In this paper, we study the problem of semi-supervised structured output prediction, which aims to learn predictors for structured outputs, such as sequences, tree nodes, vectors, etc., from a set of data points of both input-output pairs…

Machine Learning · Computer Science 2016-04-12 Xin Du

We develop pre-trained estimators for structural econometric models. The estimator uses a neural net to recognize the structural model's parameter from data patterns. Once trained, the estimator can be shared and applied to different…

Econometrics · Economics 2025-12-01 Yanhao 'Max' Wei , Zhenling Jiang

Great research efforts have been devoted to exploiting deep neural networks in stock prediction. While long-range dependencies and chaotic property are still two major issues that lower the performance of state-of-the-art deep learning…

Statistical Finance · Quantitative Finance 2021-11-02 Junran Wu , Ke Xu , Xueyuan Chen , Shangzhe Li , Jichang Zhao

Key to structured prediction is exploiting the problem structure to simplify the learning process. A major challenge arises when data exhibit a local structure (e.g., are made by "parts") that can be leveraged to better approximate the…

Machine Learning · Statistics 2019-06-03 Carlo Ciliberto , Francis Bach , Alessandro Rudi

Projection-based model reduction has become a popular approach to reduce the cost associated with integrating large-scale dynamical systems so they can be used in many-query settings such as optimization and uncertainty quantification. For…

Numerical Analysis · Mathematics 2020-08-26 Han Gao , Jian-Xun Wang , Matthew J. Zahr

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

Machine Learning · Statistics 2018-12-11 Yibo Yang , Paris Perdikaris

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

This paper focuses on the identification of dynamical systems with tailor-made model structures, where neural networks are used to approximate uncertain components and domain knowledge is retained, if available. These model structures are…

Machine Learning · Computer Science 2021-10-29 Marco Forgione , Dario Piga

Despite their impressive performance, contemporary neural networks often lack structural safeguards that promote stable learning and interpretable behavior. In this work, we introduce a reformulation of layer-level transformations that…

Machine Learning · Computer Science 2025-08-04 Saleh Nikooroo , Thomas Engel

Modern weather forecast models perform uncertainty quantification using ensemble prediction systems, which collect nonparametric statistics based on multiple perturbed simulations. To provide accurate estimation, dozens of such…

Machine Learning · Computer Science 2019-12-06 Peter Grönquist , Tal Ben-Nun , Nikoli Dryden , Peter Dueben , Luca Lavarini , Shigang Li , Torsten Hoefler

Recent years have seen a paradigm shift in NLP towards using pretrained language models ({PLM}) for a wide range of tasks. However, there are many difficult design decisions to represent structures (e.g. tagged text, coreference chains) in…

Computation and Language · Computer Science 2022-11-18 Tianyu Liu , Yuchen Jiang , Nicholas Monath , Ryan Cotterell , Mrinmaya Sachan