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This paper introduces the $(\alpha, \Gamma)$-descent, an iterative algorithm which operates on measures and performs $\alpha$-divergence minimisation in a Bayesian framework. This gradient-based procedure extends the commonly-used…

Statistics Theory · Mathematics 2021-10-25 Kamélia Daudel , Randal Douc , François Portier

Numerous estimators have been proposed for factor analysis, and their statistical properties have been extensively studied. In the early 2000s, a novel matrix factorization-based approach, known as Matrix Decomposition Factor Analysis…

Statistics Theory · Mathematics 2025-06-23 Yoshikazu Terada

In this letter we have analyzed the temporal correlations of the angle-of-arrival fluctuations of stellar images. Experimentally measured data were carefully examined by implementing multifractal detrended fluctuation analysis. This…

Atmospheric and Oceanic Physics · Physics 2023-07-19 Luciano Zunino , Damián Gulich , Gustavo Funes , Aziz Ziad

The decentralized gradient descent (DGD) algorithm, and its sibling, diffusion, are workhorses in decentralized machine learning, distributed inference and estimation, and multi-agent coordination. We propose a novel, principled framework…

Signal Processing · Electrical Eng. & Systems 2025-06-04 Erik G. Larsson , Nicolo Michelusi

Time division multiple access (TDMA) is a method for sharing communication media. In wireless communications, TDMA algorithms often divide the radio time into timeslots of uniform size, $\xi$, and then combine them into frames of uniform…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Thomas Petig , Elad M. Schiller , Philippas Tsigas

Accurate and efficient multivariate time series (MTS) analysis is increasingly critical for a wide range of intelligent applications. Within this realm, Transformers have emerged as the predominant architecture due to their strong ability…

Machine Learning · Computer Science 2026-05-19 Rui An , Haohao Qu , Wenqi Fan , Xuequn Shang , Qing Li

Multi-object tracking (MOT) from unmanned aerial vehicles (UAVs) presents unique challenges due to unpredictable object motion, frequent occlusions, and limited appearance cues inherent to aerial viewpoints. These issues are further…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Zenghuang Fu , Xiaofeng Han , Mingda Jia , Jin ming Yang , Qi Zeng , Muyang Zahng , Changwei Wang , Weiliang Meng , Xiaopeng Zhang

Dynamic statistical process monitoring methods have been widely studied and applied in modern industrial processes. These methods aim to extract the most predictable temporal information and develop the corresponding dynamic monitoring…

Methodology · Statistics 2022-11-10 Wei Fan , Qinqin Zhu , Shaojun Ren , Liang Zhang , Fengqi Si

Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

Orthogonal Frequency Division Multiple Access (OFDMA) is a multi-user version of the Orthogonal Frequency Division Multiplexing (OFDM) transmission technique, which divides a wideband channel into a number of orthogonal narrowband…

Networking and Internet Architecture · Computer Science 2012-03-01 Anatolij Zubow , Johannes Marotzke

Neural network models have recently demonstrated impressive prediction performance in complex systems where chaos and unpredictability appear. In spite of the research efforts carried out on predicting future trajectories or improving their…

Chaotic Dynamics · Physics 2025-01-30 David Valle , Alexandre Wagemakers , Alvar Daza , Miguel A. F. Sanjuán

We provide an alternative method for analysis of multifractal properties of time series. The new approach takes into account the behaviour of the whole multifractal profile of the generalized Hurst exponent $h(q)$ for all moment orders $q$,…

Statistical Finance · Quantitative Finance 2013-09-24 Dariusz Grech , Grzegorz Pamuła

We have studied the multifractality of pion emission process in 16O-AgBr interactions at 2.1AGeV & 60AGeV, 12CAgBr &24Mg-AgBr interactions at 4.5AGeV and 32S-AgBr interactions at 200AGeV using Multifractal Detrended Fluctuation Analysis…

High Energy Physics - Experiment · Physics 2016-03-16 Gopa Bhoumik , Argha Deb , Swarnapratim Bhattacharyya , Dipak Ghosh

Orthogonal Frequency Division Multiplexing (OFDM) has recently been applied in wireless communication systems due to its high data rate transmission capability with high bandwidth efficiency and its robustness to multi-path delay. Fading is…

Information Theory · Computer Science 2013-01-01 Farhana Enam , Md. Arif Rabbani , Md. Ashraful Islam , Sohag Sarker

Dynamic mode decomposition (DMD) is a data-driven method that models high-dimensional time series as a sum of spatiotemporal modes, where the temporal modes are constrained by linear dynamics. For nonlinear dynamical systems exhibiting…

Dynamical Systems · Mathematics 2019-06-17 Seth M. Hirsh , Kameron Decker Harris , J. Nathan Kutz , Bingni W. Brunton

In this paper, we propose a novel antenna architecture called movable antenna (MA) to improve the performance of wireless communication systems. Different from conventional fixed-position antennas (FPAs) that undergo random wireless channel…

Information Theory · Computer Science 2024-03-26 Lipeng Zhu , Wenyan Ma , Rui Zhang

With the aggravation of the global economic crisis and inflation, the precious metals with safe-haven function have become more popular. An improved MF-DFA method is proposed to analyze price fluctuations of the precious metals market.…

Statistical Finance · Quantitative Finance 2020-06-30 Zhongjun Wang , Mengye Sun , A. M. Elsawah

In this paper, we present a new wireless sensing system utilizing a movable antenna (MA) that continuously moves and receives sensing signals to enhance sensing performance over the conventional fixed-position antenna (FPA) sensing. We show…

Information Theory · Computer Science 2025-09-22 Wenyan Ma , Lipeng Zhu , Rui Zhang

The integration of multimodal data presents a challenge in cases when the study of a given phenomena by different instruments or conditions generates distinct but related domains. Many existing data integration methods assume a known…

Machine Learning · Statistics 2022-06-16 Andres F. Duque , Guy Wolf , Kevin R. Moon

We present a new algorithm which is named the Dynamical Functional Particle Method, DFPM. It is based on the idea of formulating a finite dimensional damped dynamical system whose stationary points are the solution to the original…

Numerical Analysis · Mathematics 2013-03-25 Mårten Gulliksson , Sverker Edvardsson , Andreas Lind
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