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Positive-definite matrix-variate data is becoming popular in computer vision. The computer vision data descriptors in the form of Region Covariance Descriptors (RCD) are positive definite matrices, which extract the key features of the…

统计方法学 · 统计学 2022-12-13 Zhou Lan

Statistical inference of multiple parameters often involves a preliminary parameter selection stage. The selection stage has an impact on subsequent estimation, for example by introducing a selection bias. The post-selection maximum…

信号处理 · 电气工程与系统科学 2020-04-22 Nadav Harel , Tirza Routtenberg

We develop two algorithms, based on maximum likelihood (ML) inference, for estimating the parameters of polarized radio sources which emit at a single rotation measure (RM), e.g., pulsars. These algorithms incorporate the flux density…

天体物理仪器与方法 · 物理学 2017-10-25 D. H. F. M. Schnitzeler , K. J. Lee

This paper revisits classical works of Rauch (1963, et al. 1965) and develops a novel method for maximum likelihood (ML) smoothing estimation from incomplete information/data of stochastic state-space systems. Score function and conditional…

统计方法学 · 统计学 2023-03-30 Budhi Arta Surya

Orthogonal group synchronization aims to recover orthogonal group elements from their noisy pairwise measurements. It has found numerous applications including computer vision, imaging science, and community detection. Due to the orthogonal…

统计理论 · 数学 2025-02-21 Ziliang Samuel Zhong , Shuyang Ling

In this paper, we address the identification problem for the systems characterized by linear time-invariant dynamics with bilinear observation models. More precisely, we consider a suitable parametric description of the system and formulate…

系统与控制 · 电气工程与系统科学 2025-02-24 Diyou Liu , Mohammad Khosravi

Polarimetric synthetic aperture radar (PolSAR) image classification has been investigated vigorously in various remote sensing applications. However, it is still a challenging task nowadays. One significant barrier lies in the speckle…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Haixia Bi , Jing Yao , Zhiqiang Wei , Danfeng Hong , Jocelyn Chanussot

The maximum likelihood (ML) and maximum a posteriori (MAP) estimation techniques are widely used to address the direction-of-arrival (DOA) estimation problems, an important topic in sensor array processing. Conventionally the ML estimators…

应用统计 · 统计学 2016-03-31 Xin Zhang , Mohammed Nabil El Korso , Marius Pesavento

Estimating parameters of a diffusion process given continuous-time observations of the process via maximum likelihood approaches or, online, via stochastic gradient descent or Kalman filter formulations constitutes a well-established…

统计方法学 · 统计学 2025-03-17 Jan Albrecht , Sebastian Reich

After decades of research in Direction of Arrival (DoA) estimation, today Maximum Likelihood (ML) algorithms still provide the best performance in terms of resolution capabilities. At the cost of a multidimensional search, ML algorithms…

信号处理 · 电气工程与系统科学 2023-07-19 Xavier Mestre , Pascal Vallet

Integrated sensing and communications (ISAC), radar, and beamforming require real-time, high-resolution estimation algorithms to determine delay-Doppler values of specular paths within the wireless propagation channel. Our contribution is…

信号处理 · 电气工程与系统科学 2026-01-22 Lorenz Mohr , Michael Döbereiner , Steffen Schieler , Joerg Robert , Christian Schneider , Sebastian Semper , Reiner S. Thomä

We consider the shape of the likelihood and posterior surfaces to be used when fitting cosmological models to CMB temperature and polarisation power spectra measured from experiments. In the limit of an all-sky survey with Gaussian…

天体物理学 · 物理学 2009-11-11 Will J. Percival , Michael L. Brown

This paper investigates parametric direction-of-arrival (DOA) estimation in a particular context: i) each sensor is characterized by an unknown complex gain and ii) the array consists of a collection of subarrays which are substantially…

In this paper we provide a new efficient algorithm for approximately computing the profile maximum likelihood (PML) distribution, a prominent quantity in symmetric property estimation. We provide an algorithm which matches the previous best…

数据结构与算法 · 计算机科学 2020-11-06 Nima Anari , Moses Charikar , Kirankumar Shiragur , Aaron Sidford

In this paper we apply to gravitational waves from non-spinning binary systems a recently intro- duced frequentist methodology to calculate analytically the error for a maximum likelihood estimate (MLE) of physical parameters. While…

广义相对论与量子宇宙学 · 物理学 2011-02-02 Salvatore Vitale , Michele Zanolin

The method of maximum likelihood estimation (MLE) is a widely used statistical approach for estimating the values of one or more unknown parameters of a probabilistic model based on observed data. In this tutorial, I briefly review the…

数据分析、统计与概率 · 物理学 2018-12-03 Anthony Vella

Weakly-supervised learning (WSL) has recently triggered substantial interest as it mitigates the lack of pixel-wise annotations. Given global image labels, WSL methods yield pixel-level predictions (segmentations), which enable to interpret…

计算机视觉与模式识别 · 计算机科学 2021-10-12 Soufiane Belharbi , Jérôme Rony , Jose Dolz , Ismail Ben Ayed , Luke McCaffrey , Eric Granger

Triangular distributions are a well-known class of distributions that are often used as elementary example of a probability model. In the past, enumeration and order statistic-based methods have been suggested for the maximum likelihood…

统计计算 · 统计学 2016-02-16 Hien D Nguyen , Geoffrey J McLachlan

Inverse Ising inference allows pairwise interactions of complex binary systems to be reconstructed from empirical correlations. Typical estimators used for this inference, such as Pseudo-likelihood maximization (PLM), are biased. Using the…

无序系统与神经网络 · 物理学 2023-07-19 Maximilian Benedikt Kloucek , Thomas Machon , Shogo Kajimura , C. Patrick Royall , Naoki Masuda , Francesco Turci

The angle of rotation of any target about the radar line of sight (LOS) is known as the polarization orientation angle. The orientation angle is found to be non-zero for undulating terrains and man-made targets oriented away from the radar…

经典物理 · 物理学 2017-04-26 Avik Bhattacharya