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Sequential Monte Carlo (SMC) methods are a class of Monte Carlo methods that are used to obtain random samples of a high dimensional random variable in a sequential fashion. Many problems encountered in applications often involve different…

Methodology · Statistics 2018-12-20 Chencheng Cai , Rong Chen , Ming Lin

In this paper we use splitting technique to estimate the probability of hitting a rare but critical set by the continuous component of a switching diffusion. Instead of following classical approach we use Wonham filter to achieve multiple…

Probability · Mathematics 2014-12-19 Anindya Goswami , François Le Gland

Single-spin detection is one of the important challenges facing the development of several new technologies, e.g. single-spin transistors and solid-state quantum computation. Magnetic resonance force microscopy with a cyclic adiabatic…

Responding appropriately to the detections of a sequential change detector requires knowledge of the rate at which false positives occur in the absence of change. Setting detection thresholds to achieve a desired false positive rate is…

Methodology · Statistics 2022-02-18 Oliver Cobb , Arnaud Van Looveren , Janis Klaise

Multivariate probit models (MPM) have the appealing feature of capturing some of the dependence structure between the components of multidimensional binary responses. The key for the dependence modelling is the covariance matrix of an…

Methodology · Statistics 2013-11-15 Giusi Moffa , Jack Kuipers

Precise, real-time monitoring of magnetic field evolution is important in applications including magnetic navigation and searches for physics beyond the standard model. One main field-monitoring technique, the spin-precession magnetometer…

The response of a SERF atomic magnetometer to a repetitive short-pulsed pump was investigated. Quantum sub-resonances at a repetition rate of $1/n$ of the Larmor frequency of the magnetic field inside the shield are experimentally observed…

A resampling scheme provides a way to switch low-weight particles for sequential Monte Carlo with higher-weight particles representing the objective distribution. The less the variance of the weight distribution is, the more concentrated…

Computation · Statistics 2023-09-19 Xiongming Dai , Gerald Baumgartner

The phenomenon of sequential vibrational resonance existed in a multistable system that is excited by both high- and low-frequency signals is reported. By the method of direct separation of motions, the theoretical investigation on…

Chaotic Dynamics · Physics 2011-06-20 J. H. Yang , X. B. Liu

Electron spin resonance (ESR) is usually interpreted as a single-particle phenomenon protected from the effect of many-body correlations. We show that this is not the case in a two-dimensional Fermi liquid (FL) with spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Saurabh Maiti , Muhammad Imran , Dmitrii L. Maslov

An array of planar Penning traps, holding single electrons, can realize an artificial molecule suitable for NMR-like quantum information processing. The effective spin-spin coupling is accomplished by applying a magnetic field gradient,…

Quantum Physics · Physics 2015-06-26 G. Ciaramicoli , F. Galve , I. Marzoli , P. Tombesi

We experimentally demonstrate precision addressing of single quantum emitters by combined optical microscopy and spin resonance techniques. To this end we utilize nitrogen-vacancy (NV) color centers in diamond confined within a few ten…

Quantum Physics · Physics 2017-10-20 Matthias Pfender , Nabeel Aslam , Gerald Waldherr , Jörg Wrachtrup

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris

Magnetic resonance (MR) fingerprinting is a new quantitative imaging paradigm, which simultaneously acquires multiple MR tissue parameter maps in a single experiment. In this paper, we present an estimation-theoretic framework to perform…

Signal Processing · Electrical Eng. & Systems 2018-10-03 Bo Zhao , Justin P. Haldar , Congyu Liao , Dan Ma , Yun Jiang , Mark A. Griswold , Kawin Setsompop , Lawrence L. Wald

Under a low Signal-to-Noise Ratio (SNR), the Orthogonal Frequency-Division Multiplexing (OFDM) signal symbol rate is limited. Existing carrier number estimation algorithms lack adequate methods to deal with low SNR. This paper proposes an…

Information Theory · Computer Science 2022-07-28 Zetian Qin , Yubai Li , Benye Niu , Qingyao Li , Renhao Xue

Coherent spin resonance methods such as nuclear magnetic resonance (NMR) and electron spin resonance (ESR) spectroscopy have led to spectrally highly sensitive, non-invasive quantum imaging techniques with groundbreaking applications in…

We discuss the capabilities of spherical antenn\ae as single multifrequency detectors of gravitational waves. A first order theory allows us to evaluate the coupled spectrum and the resonators readouts when the first and the second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Angeles Serrano , J. Alberto Lobo

Sequential monitoring in clinical trials is often employed to allow for early stopping and other interim decisions, while maintaining the type I error rate. However, sequential monitoring is typically described only in the context of a…

Statistics Theory · Mathematics 2012-05-29 Victoria Plamadeala , William F. Rosenberger

We consider the Sequential Probability Ratio Test applied to Hidden Markov Models. Given two Hidden Markov Models and a sequence of observations generated by one of them, the Sequential Probability Ratio Test attempts to decide which model…

Probability · Mathematics 2023-02-07 Oscar Darwin , Stefan Kiefer

Spin-based quantum computation (QC) in the solid state is considered to be one of the most promising approaches to scalable quantum computers. However, it faces problems such as initializing the spins, selectively addressing and…

Instrumentation and Detectors · Physics 2015-06-15 Aharon Blank , Ekaterina Dikarov , Roman Shklyar , Ygal Twig