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A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments, correlation functions) and signal processing (e.g.,…

代数拓扑 · 数学 2020-11-11 Alexander D. Smith , Pawel Dlotko , Victor M. Zavala

There has been a recent surge in development of accurate machine learning (ML) weather prediction models, but evaluation of these models has mainly been focused on medium-range forecasts, not their performance in cycling data assimilation…

大气与海洋物理 · 物理学 2024-12-25 Laura C. Slivinski , Jeffrey S. Whitaker , Sergey Frolov , Timothy A. Smith , Niraj Agarwal

Precipitation nowcasting -- the short-term prediction of rainfall using recent radar observations -- is critical for weather-sensitive sectors such as transportation, agriculture, and disaster mitigation. While recent deep learning models…

计算机视觉与模式识别 · 计算机科学 2025-07-02 Peter Pavlík , Marc Schleiss , Anna Bou Ezzeddine , Viera Rozinajová

In atmospheric and turbulent flow modeling, Large Eddy Simulation (LES) is often used to reduce computational cost, while observational data typically originates from the underlying physical system. Motivated by this setting, we study a…

偏微分方程分析 · 数学 2025-08-12 Adam Larios , Ali Pakzad , Nicholas White

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing…

统计方法学 · 统计学 2017-12-27 Chul Moon , Noah Giansiracusa , Nicole A. Lazar

Time series aggregation (TSA) aims to construct temporally aggregated optimization models that accurately represent the output space of their full-scale counterparts while using a significantly reduced temporal dimensionality. This paper…

最优化与控制 · 数学 2026-03-16 Thomas Klatzer , David Cardona-Vasquez , Luca Santosuosso , Sonja Wogrin

Most models of visual attention aim at predicting either top-down or bottom-up control, as studied using different visual search and free-viewing tasks. In this paper we propose the Human Attention Transformer (HAT), a single model that…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Zhibo Yang , Sounak Mondal , Seoyoung Ahn , Ruoyu Xue , Gregory Zelinsky , Minh Hoai , Dimitris Samaras

Improved estimation of hydrometeorological states from down-sampled observations and background model forecasts in a noisy environment, has been a subject of growing research in the past decades. Here, we introduce a unified framework that…

数据分析、统计与概率 · 物理学 2014-09-15 Ardeshir Mohammad Ebtehaj , Efi Foufoula-Georgiou

Topological Data Analysis (TDA) is a novel, and relatively new approach to analysing high-dimensional data sets. It does this by focussing on global properties like the shape and connectivity of the data giving it a significant advantage…

天体物理仪器与方法 · 物理学 2019-04-26 Jeff Murugan , Duncan Robertson

Recently, deep learning has achieved promising results in the calculation of Estimated Time of Arrival (ETA), which is considered as predicting the travel time from the start point to a certain place along a given path. ETA plays an…

机器学习 · 计算机科学 2021-10-11 Vadim Porvatov , Natalia Semenova , Andrey Chertok

The accuracy of simulation-based forecasting in chaotic systems is heavily dependent on high-quality estimates of the system state at the time the forecast is initialized. Data assimilation methods are used to infer these initial conditions…

机器学习 · 计算机科学 2021-11-02 Michael McCabe , Jed Brown

In this paper, we propose an ETA model (Estimated Time of Arrival) that leverages an attention mechanism over historical road speed patterns. As autonomous driving and intelligent transportation systems become increasingly prevalent, the…

机器学习 · 计算机科学 2026-01-21 ByeoungDo Kim , JunYeop Na , Kyungwook Tak , JunTae Kim , DongHyeon Kim , Duckky Kim

Autonomous robots operating in dynamic environments must maintain beliefs over a hypothesis space that is rich enough to represent the activities of interest at different scales. This is important both in order to accommodate the…

人工智能 · 计算机科学 2016-07-26 Majd Hawasly , Florian T. Pokorny , Subramanian Ramamoorthy

Topological Data Analysis (TDA) involves techniques of analyzing the underlying structure and connectivity of data. However, traditional methods like persistent homology can be computationally demanding, motivating the development of neural…

计算机视觉与模式识别 · 计算机科学 2025-11-10 Dylan Peek , Matthew P. Skerritt , Siddharth Pritam , Stephan Chalup

Satellites, crewed spacecraft and stations in low-Earth orbit (LEO) are very sensitive to atmospheric drag. A satellite's lifetime and orbital tracking become increasingly inaccurate or uncertain during magnetic storms. Given the planned…

Perturbative, or effective field theory (EFT)-based, full-shape analyses of galaxy clustering data involve ``nuisance parameters'' to capture various observational effects such as the galaxy-dark matter connection (galaxy bias). We present…

宇宙学与河外天体物理 · 物理学 2024-09-11 Mikhail M. Ivanov , Carolina Cuesta-Lazaro , Siddharth Mishra-Sharma , Andrej Obuljen , Michael W. Toomey

We have now entered the new era of high-resolution imaging astronomy with the beginning of the Event Horizon Telescope (EHT). The EHT can resolve the dynamics of matter in the immediate vicinity around black holes at and below the horizon…

高能天体物理现象 · 物理学 2020-04-15 Paul Tiede , Hung-Yi Pu , Avery E. Broderick , Roman Gold , Mansour Karami , Jorge A. Preciado-López

Topological Data Analysis (TDA) is a novel statistical technique, particularly powerful for the analysis of large and high dimensional data sets. Much of TDA is based on the tool of persistent homology, represented visually via persistence…

应用统计 · 统计学 2017-11-07 Sarit Agami , Robert J. Adler

This work presents a hybrid and hierarchical deep learning model for mid-term load forecasting. The model combines exponential smoothing (ETS), advanced Long Short-Term Memory (LSTM) and ensembling. ETS extracts dynamically the main…

信号处理 · 电气工程与系统科学 2020-04-02 Grzegorz Dudek , Paweł Pełka , Slawek Smyl

This work proposes a novel approach for multiple time series forecasting. At first, multi-way delay embedding transform (MDT) is employed to represent time series as low-rank block Hankel tensors (BHT). Then, the higher-order tensors are…

机器学习 · 计算机科学 2020-02-28 Qiquan Shi , Jiaming Yin , Jiajun Cai , Andrzej Cichocki , Tatsuya Yokota , Lei Chen , Mingxuan Yuan , Jia Zeng