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Related papers: FIRE: Multi-fidelity Regression with Distribution-…

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Machine learning techniques typically rely on large datasets to create accurate classifiers. However, there are situations when data is scarce and expensive to acquire. This is the case of studies that rely on state-of-the-art computational…

Machine Learning · Computer Science 2019-10-02 Francisco Sahli Costabal , Paris Perdikaris , Ellen Kuhl , Daniel E. Hurtado

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

Methodology · Statistics 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

Prior-data fitted networks (PFNs) have recently been proposed as a promising way to train tabular foundation models. PFNs are transformers that are pre-trained on synthetic data generated from a prespecified prior distribution and that…

Machine Learning · Computer Science 2026-02-25 Yuchen Ma , Dennis Frauen , Emil Javurek , Stefan Feuerriegel

Recent Tabular Foundation Models (TFMs) have demonstrated state-of-the-art predictive performance, often surpassing Gradient-Boosted Decision Trees (GBDTs). However, the trustworthiness of these models, particularly their uncertainty…

Machine Learning · Computer Science 2026-05-28 José Lucas De Melo Costa , Fabrice Popineau , Arpad Rimmel , Bich-Liên Doan

The training of diffusion models is computationally intensive, making effective pre-training essential. However, real-world deployments often demand models of variable sizes due to diverse memory and computational constraints, posing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Yucheng Xie , Fu Feng , Ruixiao Shi , Jianlu Shen , Jing Wang , Yong Rui , Xin Geng

Multi-fidelity modeling and learning are important in physical simulation-related applications. It can leverage both low-fidelity and high-fidelity examples for training so as to reduce the cost of data generation while still achieving good…

Machine Learning · Computer Science 2022-10-25 Shibo Li , Zheng Wang , Robert M. Kirby , Shandian Zhe

Modern machine learning systems operating in dynamic environments often face \textit{sequential covariate shift} (SCS), where input distributions evolve over time while the conditional distribution remains stable. We introduce FADE…

Machine Learning · Computer Science 2025-07-28 Behraj Khan , Tahir Qasim Syed , Nouman Muhammad Durrani

Pursuing causality from data is a fundamental problem in scientific discovery, treatment intervention, and transfer learning. This paper introduces a novel algorithmic method for addressing nonparametric invariance and causality learning in…

Statistics Theory · Mathematics 2025-11-18 Yihong Gu , Cong Fang , Peter Bühlmann , Jianqing Fan

Causal inference across multiple data sources offers a promising avenue to enhance the generalizability and replicability of scientific findings. However, data integration methods for time-to-event outcomes, common in biomedical research,…

Methodology · Statistics 2025-05-16 Yi Liu , Alexander W. Levis , Ke Zhu , Shu Yang , Peter B. Gilbert , Larry Han

In the paper, we present a strategy for accelerating posterior inference for unknown inputs in time fractional diffusion models. In many inference problems, the posterior may be concentrated in a small portion of the entire prior support.…

Numerical Analysis · Mathematics 2017-07-03 Lijian Jiang , Na Ou

While Bayesian inference provides a principled framework for reasoning under uncertainty, its widespread adoption is limited by the intractability of exact posterior computation, necessitating the use of approximate inference. However,…

Machine Learning · Statistics 2026-05-19 George Whittle , Juliusz Ziomek , Jacob Rawling , Maike A. Osborne

The efficient resolution of Bayesian inverse problems remains challenging due to the high computational cost of traditional sampling methods. In this paper, we propose a novel framework that integrates Conditional Flow Matching (CFM) with a…

Machine Learning · Computer Science 2025-05-20 Daniil Sherki , Ivan Oseledets , Ekaterina Muravleva

Modern aerospace guidance systems demand rigorous constraint satisfaction, optimal performance, and computational efficiency. Traditional analytical methods struggle to simultaneously satisfy these requirements. While data driven methods…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Han Wang , Donghe Chen , Tengjie Zheng , Lin Cheng , Shengping Gong

Forward propagation of input uncertainties in physics-based wildfire models is computationally prohibitive, limiting the use of high-fidelity simulators in risk assessment workflows. This work introduces a geometry-aligned bi-fidelity…

Computational Engineering, Finance, and Science · Computer Science 2026-05-13 Konstantinos Vogiatzoglou , Costas Papadimitriou , Vasilis Bontozoglou , Petros Koumoutsakos , Han Gao

Active multi-fidelity surrogate modeling is developed for multi-condition airfoil shape optimization to reduce high-fidelity CFD cost while retaining RANS-level accuracy. The framework couples a low-fidelity-informed Gaussian process…

Time series forecasting drives operational decisions in areas like finance, transportation, and energy. While supervised learning approaches achieve strong performance, they require domain-specific training, feature engineering, and ongoing…

Machine Learning · Computer Science 2026-05-26 Kavin Soni , Debanshu Das , Vamshi Guduguntla

Federated learning (FL) allows for collaborative model training across decentralized clients while preserving privacy by avoiding data sharing. However, current FL methods assume conditional independence between client models, limiting the…

Machine Learning · Statistics 2024-05-28 Conor Hassan , Joshua J Bon , Elizaveta Semenova , Antonietta Mira , Kerrie Mengersen

Distributed learning, particularly Federated Learning (FL), faces a significant bottleneck in the communication cost, particularly the uplink transmission of client-to-server updates, which is often constrained by asymmetric bandwidth…

Machine Learning · Computer Science 2026-02-19 Tomas Ortega , Chun-Yin Huang , Xiaoxiao Li , Hamid Jafarkhani

Background. Wildfire research uses ensemble methods to analyze fire behaviors and assess uncertainties. Nonetheless, current research methods are either confined to simple models or complex simulations with limits. Modern computing tools…

Computational Physics · Physics 2024-11-01 Qing Wang , Matthias Ihme , Cenk Gazen , Yi-Fan Chen , John Anderson

A multi-fidelity (MF) active learning method is presented for design optimization problems characterized by noisy evaluations of the performance metrics. Namely, a generalized MF surrogate model is used for design-space exploration,…

Optimization and Control · Mathematics 2022-07-12 Riccardo Pellegrini , Jeroen Wackers , Riccardo Broglia , Andrea Serani , Michel Visonneau , Matteo Diez