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We develop a framework for analyzing multivariate time series using topological data analysis (TDA) methods. The proposed methodology involves converting the multivariate time series to point cloud data, calculating Wasserstein distances…

Algebraic Topology · Mathematics 2020-12-29 Chengyuan Wu , Carol Anne Hargreaves

Supervised learning is the workhorse for regression and classification tasks, but the standard approach presumes ground truth for every measurement. In real world applications, limitations due to expense or general in-feasibility due to the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Muhammad K A Hamdan , Daine T. Rover , Matthew J. Darr , John Just

This paper presents the predictive accuracy using two-variate meteorological factors, average temperature and average humidity, in neural network algorithms. We analyze result in five learning architectures such as the traditional…

Machine Learning · Computer Science 2022-05-11 Ki-Hong Shin , Jae-Won Jung , Ki-Ho Chang , Dong-In Lee , Cheol-Hwan You , Kyungsik Kim

The availability of reliable, high-resolution climate and weather data is important to inform long-term decisions on climate adaptation and mitigation and to guide rapid responses to extreme events. Forecasting models are limited by…

Deep Learning, driven by neural networks, has led to groundbreaking advancements in Artificial Intelligence by enabling systems to learn and adapt like the human brain. These models have achieved remarkable results, particularly in…

Machine Learning · Computer Science 2025-06-02 Paritosh Ranjan , Surajit Majumder , Prodip Roy

Research on Artificial Intelligence (AI)-based Data Assimilation (DA) is expanding rapidly. However, the absence of an objective, comprehensive, and real-world benchmark hinders the fair comparison of diverse methods. Here, we introduce…

Machine Learning · Computer Science 2026-02-17 Wuxin Wang , Weicheng Ni , Ben Fei , Tao Han , Lilan Huang , Taikang Yuan , Xiaoyong Li , Lei Bai , Boheng Duan , Kaijun Ren

Climate studies often rely on remotely sensed images to retrieve two-dimensional maps of cloud properties. To advance volumetric analysis, we focus on recovering the three-dimensional (3D) heterogeneous extinction coefficient field of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Tamar Klein , Tom Aizenberg , Roi Ronen

Accurate weather forecasting holds significant importance to human activities. Currently, there are two paradigms for weather forecasting: Numerical Weather Prediction (NWP) and Deep Learning-based Prediction (DLP). NWP utilizes atmospheric…

Atmospheric and Oceanic Physics · Physics 2024-01-10 Wenyuan Li , Zili Liu , Keyan Chen , Hao Chen , Shunlin Liang , Zhengxia Zou , Zhenwei Shi

Developing efficient and accurate algorithms for chemistry integration is a challenging task due to its strong stiffness and high dimensionality. The current work presents a deep learning-based numerical method called DeepCombustion0.0 to…

Chemical Physics · Physics 2020-12-24 Tianhan Zhang , Yaoyu Zhang , Weinan E , Yiguang Ju

We discuss an approach to probabilistic forecasting based on two chained machine-learning steps: a dimensional reduction step that learns a reduction map of predictor information to a low-dimensional space in a manner designed to preserve…

Machine Learning · Statistics 2022-03-28 Nick Rittler , Carlo Graziani , Jiali Wang , Rao Kotamarthi

Accurate and timely mapping of burned areas is crucial for environmental monitoring, disaster management, and assessment of climate change. This study presents a novel approach to automated burned area mapping using the AlphaEArth dataset…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Seyd Teymoor Seydi

We numerically show that a deep neural network (DNN) can learn macroscopic thermodynamic laws purely from microscopic data. Using molecular dynamics simulations, we generate the data of snapshot images of gas particles undergoing adiabatic…

Statistical Mechanics · Physics 2025-11-21 Hiroto Kuroyanagi , Tatsuro Yuge

Deep neural networks (DNNs) are becoming more prevalent in important safety-critical applications, where reliability in the prediction is paramount. Despite their exceptional prediction capabilities, current DNNs do not have an implicit…

Machine Learning · Computer Science 2021-05-14 David Betancourt , Rafi Muhanna

Deep Learning has a hierarchical network architecture to represent the complicated feature of input patterns. The adaptive structural learning method of Deep Belief Network (DBN) has been developed. The method can discover an optimal number…

Neural and Evolutionary Computing · Computer Science 2018-08-28 Shin Kamada , Takumi Ichimura , Toshihide Harada

Post-processing typically takes the outputs of a Numerical Weather Prediction (NWP) model and applies linear statistical techniques to produce improve localized forecasts, by including additional observations, or determining systematic…

The generation of initial conditions via accurate data assimilation is crucial for weather forecasting and climate modeling. We propose DiffDA as a denoising diffusion model capable of assimilating atmospheric variables using predicted…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 Langwen Huang , Lukas Gianinazzi , Yuejiang Yu , Peter D. Dueben , Torsten Hoefler

Accurate and robust weather forecasting remains a fundamental challenge due to the inherent spatio-temporal complexity of atmospheric systems. In this paper, we propose a novel self-supervised learning framework that leverages…

Machine Learning · Computer Science 2025-11-04 Yao Liu

Fine-grained air quality (AQ) mapping is made possible by the proliferation of cheap AQ micro-stations (MSs). However, their measurements are often inaccurate and sensitive to local disturbances, in contrast to standardized stations (SSs)…

Machine Learning · Computer Science 2024-08-20 Meng Xu , Ke Han , Weijian Hu , Wen Ji

The large variation of datasets is a huge barrier for image classification tasks. In this paper, we embraced this observation and introduce the finite temperature tensor network (FTTN), which imports the thermal perturbation into the matrix…

Machine Learning · Computer Science 2021-04-27 Haoxiang Lin , Shuqian Ye , Xi Zhu

In building management, usually static thermal setpoints are used to maintain the inside temperature of a building at a comfortable level irrespective of its occupancy. This strategy can cause a massive amount of energy wastage and…

Machine Learning · Computer Science 2022-01-20 Rakshitha Godahewa , Chang Deng , Arnaud Prouzeau , Christoph Bergmeir