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Many scientific and engineering systems exhibit intrinsically multimodal behavior arising from latent regime switching and non-unique physical mechanisms. In such settings, learning the full conditional distribution of admissible outcomes…

Machine Learning · Computer Science 2026-02-12 Jinkyo Han , Bahador Bahmani

This paper investigates two prominent probabilistic neural modeling paradigms: Bayesian Neural Networks (BNNs) and Mixture Density Networks (MDNs) for uncertainty-aware nonlinear regression. While BNNs incorporate epistemic uncertainty by…

Computation · Statistics 2025-10-30 Riddhi Pratim Ghosh , Ian Barnett

Probabilistic machine learning techniques can learn both complex relations between input features and output quantities of interest as well as take into account stochasticity or uncertainty within a data set. In this initial work, we…

Nuclear Theory · Physics 2020-10-28 A. E. Lovell , A. T. Mohan , P. Talou

Scientific machine learning (SciML) has emerged as a versatile approach to address complex computational science and engineering problems. Within this field, physics-informed neural networks (PINNs) and deep operator networks (DeepONets)…

Machine Learning · Computer Science 2024-01-31 Joel Hayford , Jacob Goldman-Wetzler , Eric Wang , Lu Lu

Classification and identification of the materials lying over or beneath the Earth's surface have long been a fundamental but challenging research topic in geoscience and remote sensing (RS) and have garnered a growing concern owing to the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Danfeng Hong , Lianru Gao , Naoto Yokoya , Jing Yao , Jocelyn Chanussot , Qian Du , Bing Zhang

Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

Neural networks offer a versatile, flexible and accurate approach to loss reserving. However, such applications have focused primarily on the (important) problem of fitting accurate central estimates of the outstanding claims. In practice,…

Methodology · Statistics 2022-08-09 Muhammed Taher Al-Mudafer , Benjamin Avanzi , Greg Taylor , Bernard Wong

Geosteering of wells requires fast interpretation of geophysical logs, which is a non-unique inverse problem. Current work presents a proof-of-concept approach to multi-modal probabilistic inversion of logs using a single evaluation of an…

Geophysics · Physics 2022-11-10 Sergey Alyaev , Ahmed H. Elsheikh

Multimodal deep learning (MDL) has emerged as a transformative approach in computational pathology. By integrating complementary information from multiple data sources, MDL models have demonstrated superior predictive performance across…

Quantitative Methods · Quantitative Biology 2025-11-17 Seth Alain Chang , Muhammad Mueez Amjad , Noorul Wahab , Ethar Alzaid , Nasir Rajpoot , Adam Shephard

High-fidelity computational simulations and physical experiments of hypersonic flows are resource intensive. Training scientific machine learning (SciML) models on limited high-fidelity data offers one approach to rapidly predict behaviors…

Fluid Dynamics · Physics 2023-11-06 Victor J. Leon , Noah Ford , Honest Mrema , Jeffrey Gilbert , Alexander New

Multiphase fluid dynamics, such as falling droplets and rising bubbles, are critical to many industrial applications. However, simulating these phenomena efficiently is challenging due to the complexity of instabilities, wave patterns, and…

Predicting multiple real-world tasks in a single model often requires a particularly diverse feature space. Multimodal (MM) models aim to extract the synergistic predictive potential of multiple data types to create a shared feature space…

Machine Learning · Computer Science 2023-11-07 Vinitra Swamy , Malika Satayeva , Jibril Frej , Thierry Bossy , Thijs Vogels , Martin Jaggi , Tanja Käser , Mary-Anne Hartley

Survival analysis, the art of time-to-event modeling, plays an important role in clinical treatment decisions. Recently, continuous time models built from neural ODEs have been proposed for survival analysis. However, the training of neural…

Machine Learning · Computer Science 2022-08-24 Xintian Han , Mark Goldstein , Rajesh Ranganath

Scientific machine learning (SciML) provides a structured approach to integrating physical knowledge into data-driven modeling, offering significant potential for advancing hydrological research. In recent years, multiple methodological…

Computational Physics · Physics 2026-02-25 Adoubi Vincent De Paul Adombi

Dataset distillation compresses large training sets into compact synthetic datasets while preserving downstream performance. As modern systems increasingly operate on paired vision-language inputs, multimodal distillation must preserve…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Jongoh Jeong , Hoyong Kwon , Minseok Kim , Kuk-Jin Yoon

While mixture density networks (MDNs) have been extensively used for regression tasks, they have not been used much for classification tasks. One reason for this is that the usability of MDNs for classification is not clear and…

Machine Learning · Computer Science 2024-02-09 Narendhar Gugulothu , Sanjay P. Bhat , Tejas Bodas

In recent years, the question of the reliability of Machine Learning (ML) methods has acquired significant importance, and the analysis of the associated uncertainties has motivated a growing amount of research. However, most of these…

Artificial Intelligence · Computer Science 2024-07-01 Luigi Scorzato

Human motion prediction, which plays a key role in computer vision, generally requires a past motion sequence as input. However, in real applications, a complete and correct past motion sequence can be too expensive to achieve. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Chunzhi Gu , Yan Zhao , Chao Zhang

The integration of Scientific Machine Learning (SciML) techniques with uncertainty quantification (UQ) represents a rapidly evolving frontier in computational science. This work advances Physics-Informed Neural Networks (PINNs) by…

Machine Learning · Statistics 2025-12-30 Georgios Arampatzis , Stylianos Katsarakis , Charalambos Makridakis

Recent developments in 3D vision have enabled significant progress in inferring neural fluid fields and realistic rendering of fluid dynamics. However, these methods require dense captures of real-world flows, which demand specialized…

Machine Learning · Computer Science 2026-02-23 Yuqiu Liu , Jingxuan Xu , Mauricio Soroco , Yunchao Wei , Wuyang Chen
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