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This paper proposes a model order reduction method for a class of parametric dynamical systems. Using a temporal Fourier transform, we reformulate these systems into complex-valued elliptic equations in the frequency domain, containing…

Numerical Analysis · Mathematics 2026-02-10 Yuming Ba , Liang Chen , Yaru Chen , Qiuqi Li

We propose a method to interactively control the animation of fluid elements in still images to generate cinemagraphs. Specifically, we focus on the animation of fluid elements like water, smoke, fire, which have the properties of repeating…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Aniruddha Mahapatra , Kuldeep Kulkarni

This work aims to introduce a heuristic timestep-adaptive algorithm for Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems where the flow is dominated by the pressure. In such scenarios, many time-adaptive…

Numerical Analysis · Mathematics 2024-07-02 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

This study introduces a novel frequency-based data-driven controller for adaptive optics, using power spectral density for optimization while ensuring stability criteria. It addresses disturbance rejection, command amplitude constraints and…

Autoregressive (AR) visual generation has emerged as a powerful paradigm for image and multimodal synthesis, owing to its scalability and generality. However, existing AR image generation suffers from severe memory bottlenecks due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Ziran Qin , Youru Lv , Mingbao Lin , Zeren Zhang , Chanfan Gan , Tieyuan Chen , Weiyao Lin

We propose a novel method to reconstruct the spatio-temporal amplitude and phase of the electric field of ultrashort laser pulses using spatially-resolved spectral interferometry. This method is based on a fiber-optic coupler interferometer…

Atmospheric wavefront prediction based on previous wavefront sensor measurements can greatly enhance the performance of adaptive optics systems. We propose an optimal linear approach based on the Empirical Orthogonal Functions (EOF)…

Instrumentation and Methods for Astrophysics · Physics 2017-07-04 Olivier Guyon , Jared Males

Advanced autoregressive (AR) video generation models have improved visual fidelity and interactivity, but the quadratic complexity of attention remains a primary bottleneck for efficient deployment. While existing sparse attention solutions…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Chengtao Lv , Yumeng Shi , Yushi Huang , Ruihao Gong , Shen Ren , Wenya Wang

We propose an approach for improving sequence modeling based on autoregressive normalizing flows. Each autoregressive transform, acting across time, serves as a moving frame of reference, removing temporal correlations, and simplifying the…

Machine Learning · Computer Science 2022-03-09 Joseph Marino , Lei Chen , Jiawei He , Stephan Mandt

Autoregressive language modeling (ALM) have been successfully used in self-supervised pre-training in Natural language processing (NLP). However, this paradigm has not achieved comparable results with other self-supervised approach in…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Yu Qi , Fan Yang , Yousong Zhu , Yufei Liu , Liwei Wu , Rui Zhao , Wei Li

Autoregressive neural vocoders have achieved outstanding performance in speech synthesis tasks such as text-to-speech and voice conversion. An autoregressive vocoder predicts a sample at some time step conditioned on those at previous time…

Sound · Computer Science 2024-06-06 Po-chun Hsu , Da-rong Liu , Andy T. Liu , Hung-yi Lee

Generative models have demonstrated strong performance in conditional settings and can be viewed as a form of data compression, where the condition serves as a compact representation. However, their limited controllability and…

Machine Learning · Computer Science 2025-07-04 Xiao Li , Liangji Zhu , Anand Rangarajan , Sanjay Ranka

Electronic wave functions of planar molecules can be reconstructed via inverse Fourier transform of angle-resolved photoelectron spectroscopy (ARPES) data, provided the phase of the electron wave in the detector plane is known. Since the…

Other Condensed Matter · Physics 2016-09-23 Pavel Kliuiev , Tatiana Latychevskaia , Juerg Osterwalder , Matthias Hengsberger , Luca Castiglioni

Recent advances in autoregressive (AR) generative models have produced increasingly powerful systems for media synthesis. Among them, next-scale prediction has emerged as a popular paradigm, where models generate images in a coarse-to-fine…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Gengze Zhou , Chongjian Ge , Hao Tan , Feng Liu , Yicong Hong

Fourier ptychographic microscopy enables gigapixel-scale imaging, with both large field-of-view and high resolution. Using a set of low-resolution images that are recorded under varying illumination angles, the goal is to computationally…

Signal Processing · Electrical Eng. & Systems 2018-03-13 Emrah Bostan , Mahdi Soltanolkotabi , David Ren , Laura Waller

Phase reconstruction is important in transmission electron microscopy for structural studies. We describe electron Fourier ptychography and its application to phase reconstruction of both radiation-resistant and beam-sensitive materials. We…

In this research, a functional time series model was introduced to predict future realizations of river flow time series. The proposed model was constructed based on a functional time series's correlated lags and the essential exogenous…

Applications · Statistics 2021-04-27 Ufuk Beyaztas , Han Lin Shang , Zaher Mundher Yaseen

Scene flow prediction is a crucial underlying task in understanding dynamic scenes as it offers fundamental motion information. However, contemporary scene flow methods encounter three major challenges. Firstly, flow estimation solely based…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Zhiyang Lu , Qinghan Chen , Ming Cheng

Adaptive optics (AO) are reconfigurable devices that compensate for wavefront distortions or aberrations in optical systems such as microscopes, telescopes and ophthalmoscopes. Aberrations have detrimental effects that can reduce imaging…

Optics · Physics 2025-06-10 Biwei Zhang , Martin J. Booth , Qi Hu

Time-delay error is a significant error source in adaptive optics (AO) systems. It arises from the latency between sensing the wavefront and applying the correction. Predictive control algorithms reduce the time-delay error, providing…

Instrumentation and Methods for Astrophysics · Physics 2024-06-27 Jalo Nousiainen , Juha-Pekka Puska , Tapio Helin , Nuutti Hyvönen , Markus Kasper