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The effective second-harmonic generation (SHG) coefficient is a crucial data that quantifies the efficiency of transforming fundamental frequency light into its second harmonic. With the help of the symmetry of nonlinear optical…

Optimization and Control · Mathematics 2026-02-24 Die Xiao , Yisheng Song

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…

Signal Processing · Electrical Eng. & Systems 2020-04-02 Grzegorz Dudek , Paweł Pełka , Slawek Smyl

Recent advances in pixel-level tasks (e.g. segmentation) illustrate the benefit of of long-range interactions between aggregated region-based representations that can enhance local features. However, such aggregated representations, often…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Mir Rayat Imtiaz Hossain , Leonid Sigal , James J. Little

Semantic image synthesis (SIS) is a task to generate realistic images corresponding to semantic maps (labels). However, in real-world applications, SIS often encounters noisy user inputs. To address this, we propose Stochastic Conditional…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Juyeon Ko , Inho Kong , Dogyun Park , Hyunwoo J. Kim

EEG-based emotion recognition plays an important role in developing adaptive brain-computer communication systems, yet faces two fundamental challenges in practical implementations: (1) effective integration of non-stationary…

Machine Learning · Computer Science 2025-08-20 Xuetao Lin , Tianhao Peng , Peihong Dai , Yu Liang , Wenjun Wu

Metamodeling of complex numerical systems has recently attracted the interest of the mathematical programming community. Despite the progress in high performance computing, simulations remain costly, as a matter of fact, the assessment of…

Other Statistics · Statistics 2018-11-13 Soumaya Azzi , Yuanyuan Huang , Bruno Sudret , Joe Wiart

We propose a transform for signals defined on the sphere that reveals their localized directional content in the spatio-spectral domain when used in conjunction with an asymmetric window function. We call this transform the directional…

Information Theory · Computer Science 2013-04-23 Z. Khalid , R. A. Kennedy , S. Durrani , P. Sadeghi , Y. Wiaux , J. D. McEwen

We present a novel probabilistic deep learning approach, the 'Stochastic Latent Transformer' (SLT), designed for the efficient reduced-order modelling of stochastic partial differential equations. Stochastically driven flow models are…

Machine Learning · Computer Science 2024-06-21 Ira J. S. Shokar , Rich R. Kerswell , Peter H. Haynes

Existing models encounter bottlenecks in balancing performance and computational efficiency when modeling long sequences. Although the state space model (SSM) has achieved remarkable success in handling long sequence tasks, it still faces…

Machine Learning · Computer Science 2025-05-06 Tongyi Liang , Han-Xiong Li

Traditional regression models assume stationary relationships between predictors and responses, failing to capture the spatial heterogeneity present in many environmental, epidemiological, and ecological processes. To address this…

Methodology · Statistics 2025-05-27 Justice Akuoko-Frimpong , Edward Shao , Jonathan Ta

The halo model (HM) describes the inhomogeneous universe as a collection of halos. The full nonlinear power spectrum of the universe is well approximated by the HM, whose prediction can be easily computed without lengthy numerical…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-07 Kimmo Kainulainen , Valerio Marra

Scattering transforms are a new type of summary statistics recently developed for the study of highly non-Gaussian processes, which have been shown to be very promising for astrophysical studies. In particular, they allow one to build…

Instrumentation and Methods for Astrophysics · Physics 2024-07-12 Louise Mousset , Erwan Allys , Matthew A. Price , Jonathan Aumont , Jean-Marc Delouis , Ludovic Montier , Jason D. McEwen

The spherical harmonic transform is a powerful tool in the analysis of spherical data sets, such as the cosmic microwave background data. In this work, we present a new scheme for the spherical harmonic transforms that supports both CPU and…

Instrumentation and Methods for Astrophysics · Physics 2022-11-18 Chi Tian , Siyu Li , Hao Liu

Stochastic differential equations provide a rich class of flexible generative models, capable of describing a wide range of spatio-temporal processes. A host of recent work looks to learn data-representing SDEs, using neural networks and…

Machine Learning · Statistics 2021-10-12 Scott Cameron , Tyron Cameron , Arnu Pretorius , Stephen Roberts

Spin Glasses (SG) are paradigmatic models for physical, computer science, biological and social systems. The problem of studying the dynamics for SG models is NP hard, i.e., no algorithm solves it in polynomial time. Here we implement the…

Disordered Systems and Neural Networks · Physics 2021-07-14 M. Leonetti , E. Hörmann , L. Leuzzi , G. Parisi , G. Ruocco

The degrees of freedom inherent in spatiotemporal optical vortices (STOV's) afford intriguing opportunties to manipulate complex light fields for broad applications such as optical communication, light-matter interactions, particle…

High-resolution climate simulations are valuable for understanding climate change impacts. This has motivated use of regional convection-permitting climate models (CPMs), but these are very computationally expensive. We present a…

Atmospheric and Oceanic Physics · Physics 2026-02-05 Henry Addison , Elizabeth Kendon , Suman Ravuri , Laurence Aitchison , Peter AG Watson

Stochastic and conditional simulation methods have been effective towards producing realistic realizations and simulations of spatial numerical models that share equal probability of occurrence. Application of these methods are valuable…

Sudden Stratospheric Warmings (SSWs) are key sources of subseasonal predictability and major drivers of extreme weather in winter. Accurate and efficient probabilistic forecasting of these events remains a persistent challenge for Numerical…

Machine Learning · Computer Science 2026-02-24 Ningning Tao , Fei Xie , Baoxiang Pan , Hongyu Wang , Han Huang , Zhongpu Qiu , Ke Gui , Jiali Luo , Xiaosong Chen

We present a stochastic simulator for polycrystalline phase-change materials capable of spatio-temporal modelling of complex anneals. This is based on consideration of bulk and surface energies to generate rates of growth and decay of…

Computational Physics · Physics 2007-09-21 Peter Ashwin , Patnaik BSV , C. David Wright
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