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We develop and test a new statistical method to measure the kinematic Sunyaev-Zel'dovich (kSZ) effect. A sample of independently detected clusters is combined with the cosmic flow field predicted from a galaxy redshift survey in order to…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-11 Ming Li , Raul E. Angulo , Simon D. M. White , Jens Jasche

For material identification, characterization, and quantification, it is useful to estimate system-independent material properties that do not depend on the detailed specifications of the X-ray computed tomography (CT) system such as…

Materials Science · Physics 2022-04-04 K. Aditya Mohan , Kyle M. Champley , Albert W. Reed , Steven M. Glenn , Harry E. Martz

Accurate estimation and prediction of trajectory is essential for the capture of any high speed target. In this paper, an extended Kalman filter (EKF) is used to track the target in the first loop of the trajectory to collect data points…

Waveforms with ideal ambiguity functions are fundamental to integrated sensing and communication, to active sensing (radar), and to uplink multiple access. We describe a general method of constructing waveforms using the discrete Zak…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

The ensemble random forest filter (ERFF) is presented as an alternative to the ensemble Kalman filter (EnKF) for the purpose of inverse modeling. The EnKF is a data assimilation approach that forecasts and updates parameter estimates…

Machine Learning · Computer Science 2022-07-11 Vanessa A. Godoy , Gian F. Napa-García , J. Jaime Gómez-Hernández

We investigate the possibility of detecting the turbulent state of the IGM with the kinetic Sunyaev-Zel'dovich (kSZ) effect. Being sensitive to the divergence-free component of the momentum field of the IGM, the kSZ effect might be used to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Weishan Zhu , Long-Long Feng , Li-Zhi Fang

The least mean squares (LMS) filter is often derived via the Wiener filter solution. For a system identification scenario, such a derivation makes it hard to incorporate prior information on the system's impulse response. We present an…

Signal Processing · Electrical Eng. & Systems 2017-12-07 Michael Lunglmayr , Oliver Lang , Mario Huemer

To find the least squares solution of a very large and inconsistent system of equations, one can employ the extended Kaczmarz algorithm. This method simultaneously removes the error term, such that a consistent system is asymptotically…

Numerical Analysis · Mathematics 2015-04-02 Stefania Petra , Constantin Popa

The Sampling Kaczmarz Motzkin (SKM) algorithm is a generalized method for solving large scale linear systems of inequalities. Having its root in the relaxation method of Agmon, Schoenberg, and Motzkin and the randomized Kaczmarz method, SKM…

Optimization and Control · Mathematics 2022-08-16 Md Sarowar Morshed , Md Saiful Islam , Md. Noor-E-Alam

We introduce the concept of autoregressive moving average (ARMA) filters on a graph and show how they can be implemented in a distributed fashion. Our graph filter design philosophy is independent of the particular graph, meaning that the…

Social and Information Networks · Computer Science 2015-09-02 Andreas Loukas , Andrea Simonetto , Geert Leus

This paper proposes a novel adaptive reduced-rank filtering scheme based on the joint iterative optimization of adaptive filters. The proposed scheme consists of a joint iterative optimization of a bank of full-rank adaptive filters that…

Information Theory · Computer Science 2013-05-29 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

The Extended Randomized Kaczmarz method is a well known iterative scheme which can find the Moore-Penrose inverse solution of a possibly inconsistent linear system and requires only one additional column of the system matrix in each…

Numerical Analysis · Mathematics 2022-07-21 Frank Schöpfer , Dirk A Lorenz , Lionel Tondji , Maximilian Winkler

This investigation establishes the theoretical and practical limits of signal strength estimate precision for Kolmogorov-Zurbenko periodograms with dynamic smoothing and compares them to those of standard log-periodograms with static…

Applications · Statistics 2025-04-25 Barry Loneck , Igor Zurbenko , Edward Valachovic

In this paper, selection of an active sensor subset for tracking a discrete time, finite state Markov chain having an unknown transition probability matrix (TPM) is considered. A total of N sensors are available for making observations of…

Machine Learning · Computer Science 2020-11-02 Mrigank Raman , Ojal Kumar , Arpan Chattopadhyay

We consider iterative (`turbo') algorithms for compressed sensing. First, a unified exposition of the different approaches available in the literature is given, thereby enlightening the general principles and main differences. In particular…

Information Theory · Computer Science 2017-05-22 Robert F. H. Fischer , Susanne Sparrer

We present an enhancement to the problem of beam alignment in millimeter wave (mmWave) multiple-input multiple-output (MIMO) systems, based on a modification of the machine learning-based criterion, called Kolmogorov model (KM), previously…

Signal Processing · Electrical Eng. & Systems 2020-07-29 Qiyou Duan , Taejoon Kim , Hadi Ghauch

We combine two iterative algorithms for solving large-scale systems of linear inequalities, the relaxation method of Agmon, Motzkin et al. and the randomized Kaczmarz method. In doing so, we obtain a family of algorithms that generalize and…

Optimization and Control · Mathematics 2019-06-05 Jesus De Loera , Jamie Haddock , Deanna Needell

The kinetic Sunyaev-Zel'dovich (kSZ) effect is a secondary cosmic microwave background (CMB) anisotropy induced by the scattering of CMB photons off intervening electrons. Through cross-correlations with tracers of large-scale structure,…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 Gabriela Sato-Polito , José Luis Bernal , Kimberly K. Boddy , Marc Kamionkowski

Multiple zeta values (MZVs, also called Euler sums or multiple harmonic series) are nested generalizations of the classical Riemann zeta function evaluated at integer values. The fact that an integral representation of MZVs obeys a shuffle…

Number Theory · Mathematics 2025-10-20 J. M. Borwein , D. M. Bradley , D. J. Broadhurst , P. Lisonek

The traditional GNSS-aided inertial navigation system (INS) usually exploits the extended Kalman filter (EKF) for state estimation, and the initial attitude accuracy is key to the filtering performance. To spare the reliance on the initial…

Systems and Control · Electrical Eng. & Systems 2023-11-16 Wei Ouyang , Yutian Wang , Yuanxin Wu