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Topological data analysis (TDA) aims to extract noise-robust features from a data set by examining the number and persistence of holes in its topology. We show that a computational problem closely related to a core task in TDA --…

Quantum Physics · Physics 2024-10-29 Casper Gyurik , Alexander Schmidhuber , Robbie King , Vedran Dunjko , Ryu Hayakawa

Data assimilation (DA), as an indispensable component within contemporary Numerical Weather Prediction (NWP) systems, plays a crucial role in generating the analysis that significantly impacts forecast performance. Nevertheless, the…

Machine Learning · Computer Science 2026-03-17 Xiaoze Xu , Xiuyu Sun , Wei Han , Xiaohui Zhong , Lei Chen , Hao Li

The combination of galaxy-galaxy lensing (GGL) and galaxy clustering is a promising route to measuring the amplitude of matter clustering and testing modified gravity theories of cosmic acceleration. Halo occupation distribution (HOD)…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-30 Joseph E. McEwen , David H. Weinberg

Estimated time of arrival (ETA) for airborne aircraft in real-time is crucial for arrival management in aviation, particularly for runway sequencing. Given the rapidly changing airspace context, the ETA prediction efficiency is as important…

Machine Learning · Computer Science 2025-08-14 Liping Huang , Yicheng Zhang , Yifang Yin , Sheng Zhang , Yi Zhang

Data assimilation algorithms are used to estimate the states of a dynamical system using partial and noisy observations. The ensemble Kalman filter has become a popular data assimilation scheme due to its simplicity and robustness for a…

Numerical Analysis · Mathematics 2021-06-23 Gottfried Hastermann , Maria Reinhardt , Rupert Klein , Sebastian Reich

We apply topological data analysis (TDA) to speech classification problems and to the introspection of a pretrained speech model, HuBERT. To this end, we introduce a number of topological and algebraic features derived from Transformer…

Topological Data Analysis (TDA) is the collection of mathematical tools that capture the structure of shapes in data. Despite computational topology and computational geometry, the utilization of TDA in time series and signal processing is…

Information Retrieval · Computer Science 2018-10-23 Shafie Gholizadeh , Wlodek Zadrozny

We present a re-analysis of cosmic shear and galaxy clustering from first-year Dark Energy Survey data (DES Y1), making use of a Hybrid Effective Field Theory (HEFT) approach to model the galaxy-matter relation on weakly non-linear scales,…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 Boryana Hadzhiyska , Carlos García-García , David Alonso , Andrina Nicola , Anže Slosar

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

We make use of the IllustrisTNG cosmological, hydrodynamical simulations to test fundamental assumptions of the mass-based Halo Occupation Distribution (HOD) approach to modelling the galaxy-halo connection. By comparing the clustering of…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-11 Boryana Hadzhiyska , Sownak Bose , Daniel Eisenstein , Lars Hernquist , David N. Spergel

Data assimilation of atmospheric observations traditionally relies on variational and Kalman filter methods. Here, an alternative neural-network data assimilation (NNDA) with variational autoencoder (VAE) is proposed. The three-dimensional…

Atmospheric and Oceanic Physics · Physics 2024-04-29 Boštjan Melinc , Žiga Zaplotnik

Ensemble data assimilation is a problem in determining the most likely phase space trajectory of a model of an observed dynamical sys- tem as it receives inputs from measurements passing information to the model. Using methods developed in…

Chaotic Dynamics · Physics 2015-05-13 Henry D. I. Abarbanel

The concept of mathematical modeling is widespread across almost all of the fields of contemporary science and engineering. Because of the existing necessity of predictions the behavior of natural phenomena, the researchers develop more and…

Machine Learning · Computer Science 2019-04-10 Marcin Sendera

Data augmentation is a crucial technique for improving model generalization and robustness, particularly in deep learning models where training data is limited. Although many augmentation methods have been developed for time series…

Machine Learning · Computer Science 2026-04-13 Jafar Bakhshaliyev , Johannes Burchert , Niels Landwehr , Lars Schmidt-Thieme

Data assimilation is the process to fuse information from priors, observations of nature, and numerical models, in order to obtain best estimates of the parameters or state of a physical system of interest. Presence of large errors in some…

Numerical Analysis · Mathematics 2015-11-06 Vishwas Rao , Adrian Sandu , Michael Ng , Elias Nino-Ruiz

Surface roughness plays an important role in analyzing engineering surfaces. It quantifies the surface topography and can be used to determine whether the resulting surface finish is acceptable or not. Nevertheless, while several existing…

Signal Processing · Electrical Eng. & Systems 2021-10-20 Melih C. Yesilli , Firas A. Khasawneh

This is the second paper in the HOWLS (higher-order weak lensing statistics) series exploring the usage of non-Gaussian statistics for cosmology inference within Euclid. With respect to our first paper, we develop a full tomographic…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Euclid Collaboration , S. Vinciguerra , F. Bouchè , N. Martinet , L. Castiblanco , C. Uhlemann , S. Pires , J. Harnois-Déraps , C. Giocoli , M. Baldi , V. F. Cardone , A. Vadalà , N. Dagoneau , L. Linke , E. Sellentin , P. L. Taylor , J. C. Broxterman , S. Heydenreich , V. Tinnaneri Sreekanth , N. Porqueres , L. Porth , M. Gatti , D. Grandón , A. Barthelemy , F. Bernardeau , A. Tersenov , H. Hoekstra , J. -L. Starck , S. Cheng , P. A. Burger , I. Tereno , R. Scaramella , B. Altieri , S. Andreon , N. Auricchio , C. Baccigalupi , S. Bardelli , A. Biviano , E. Branchini , M. Brescia , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , S. de la Torre , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , B. Gillis , J. Gracia-Carpio , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , O. Mansutti , O. Marggraf , M. Martinelli , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , G. Meylan , A. Mora , M. Moresco , L. Moscardini , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , J. Valiviita , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , F. M. Zerbi , E. Zucca , M. Ballardini , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , J. A. Escartin Vigo , L. Gabarra , W. G. Hartley , R. Maoli , J. Martín-Fleitas , S. Matthew , N. Mauri , R. B. Metcalf , A. Pezzotta , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , R. E. Angulo , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , E. Aubourg , D. Bertacca , M. Bethermin , A. Blanchard , L. Blot , M. Bonici , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , B. Camacho Quevedo , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , A. R. Cooray , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , J. M. Diego , M. Y. Elkhashab , Y. Fang , P. G. Ferreira , A. Finoguenov , A. Franco , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , R. Gavazzi , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , M. Guidi , C. M. Gutierrez , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , J. J. E. Kajava , Y. Kang , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , T. I. Liaudat , J. Macias-Perez , M. Magliocchetti , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , D. Paoletti , F. Passalacqua , K. Paterson , L. Patrizii , A. Pisani , D. Potter , S. Quai , M. Radovich , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , D. Sciotti , L. C. Smith , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , D. Vergani , G. Verza , N. A. Walton

The complex interplay of magnetohydrodynamics, gravity, and supersonic turbulence in the interstellar medium (ISM) introduces non-Gaussian structure that can complicate comparison between theory and observation. We show that the Wavelet…

Precipitation nowcasting is critically important for meteorological forecasting. Deep learning-based Radar Echo Extrapolation (REE) has become a predominant nowcasting approach, yet it suffers from poor generalization due to its reliance on…

Machine Learning · Computer Science 2026-01-06 Xin Di , Xinglin Piao , Fei Wang , Guodong Jing , Yong Zhang

The idea of using machine learning (ML) methods to reconstruct the dynamics of a system is the topic of recent studies in the geosciences, in which the key output is a surrogate model meant to emulate the dynamical model. In order to treat…

Machine Learning · Statistics 2021-09-22 Alban Farchi , Patrick Laloyaux , Massimo Bonavita , Marc Bocquet