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Proceedings ArticleDOI

Partially-Observed Discrete Dynamical Systems

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TLDR
In this paper, a partially-observed discrete dynamical systems (PODDS) model is introduced, where the state is a vector containing the information of different components of the system, and each component takes its value from a finite real-valued set.
Abstract
This paper introduces a new signal model called partially-observed discrete dynamical systems (PODDS). This signal model is a special case of the hidden Markov model (HMM), where the state is a vector containing the information of different components of the system, and each component takes its value from a finite real-valued set. This signal model is currently treated as a finite-state HMM, where maximum a posteriori (MAP) criterion is used for state estimator purpose. This paper takes advantage of the discrete structure of the state variables in PODDS and develops the optimal componentwise MAP (CMAP) state estimator, which yields the MAP solution in each state variable. A fully-recursive process is provided for computation of this optimal estimator, followed by introducing a specific instance of the PODDS model suitable for regulatory networks observed through noisy time series data. The high performance of the proposed estimator is demonstrated by numerical experiments with a PODDS model of random regulatory networks.

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Citations
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Journal ArticleDOI

Dispersion entropy-based Lempel-Ziv complexity: A new metric for signal analysis

TL;DR: In this article , a dispersion entropy-based LZC (DELZC) is proposed to detect the dynamic changes of time series and characterizing the complexity of signal, and also have lower noise sensitivity.
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Graph-Based Bayesian Optimization for Large-Scale Objective-Based Experimental Design.

TL;DR: In this article, a graph-based MOCU-based Bayesian optimization framework is proposed to achieve a scalable objective-based experimental design, which takes the main objective of the process into account during the experimental design process.
Journal ArticleDOI

Graph-Based Bayesian Optimization for Large-Scale Objective-Based Experimental Design

TL;DR: In this article , a graph-based MOCU-based Bayesian optimization framework is proposed to achieve a scalable objective-based experimental design, which takes the main objective of the process into account during the experimental design process.
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Feature extraction methods of ship-radiated noise: From single feature of multi-scale dispersion Lempel-Ziv complexity to mixed double features

TL;DR: Wang et al. as mentioned in this paper proposed a multi-scale dispersion Lempel-Ziv complexity (MDLZC), which reflects the complexity of ship-radiated noise signals more comprehensively.
Journal ArticleDOI

On the Oscillatory Properties of Solutions of Second-Order Damped Delay Differential Equations

TL;DR: In this paper, a new oscillation condition was created for second-order damped delay differential equations with a non-canonical operator, which helps to apply it even when the previous relevant results fail to apply.
References
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Sparse and Compositionally Robust Inference of Microbial Ecological Networks

TL;DR: SParse InversE Covariance Estimation for Ecological Association Inference is presented, a statistical method for the inference of microbial ecological networks from amplicon sequencing datasets that outperforms state-of-the-art methods to recover edges and network properties on synthetic data under a variety of scenarios.