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The classic algorithm of Viterbi computes the most likely path in a Hidden Markov Model (HMM) that results in a given sequence of observations. It runs in time $O(Tn^2)$ given a sequence of $T$ observations from a HMM with $n$ states.…

Computational Complexity · Computer Science 2016-11-04 Arturs Backurs , Christos Tzamos

Baseline generation for tracking applications is a difficult task when working with real world radar data. Data sparsity usually only allows an indirect way of estimating the original tracks as most objects' centers are not represented in…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Nicolas Scheiner , Stefan Haag , Nils Appenrodt , Bharanidhar Duraisamy , Jürgen Dickmann , Martin Fritzsche , Bernhard Sick

We introduce a quantum Viterbi decoding algorithm for hidden quantum Markov models (HQMMs) motivated by quantum information processing and quantum algorithms. Given a finite sequence of measurement outcomes, the algorithm identifies hidden…

Navigation in unknown, chaotic environments continues to present a significant challenge for the robotics community. Lighting changes, self-similar textures, motion blur, and moving objects are all considerable stumbling blocks for…

Robotics · Computer Science 2019-08-06 Valentin Peretroukhin , Lee Clement , Matthew Giamou , Jonathan Kelly

Accurate online map matching is fundamental to vehicle navigation and the activation of intelligent driving functions. Current online map matching methods are prone to errors in complex road networks, especially in multilevel road area. To…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Xin Bi , Zhichao Li , Yuxuan Xia , Panpan Tong , Lijuan Zhang , Yang Chen , Junsheng Fu

Global Positioning System (GPS) navigation provides accurate positioning with global coverage, making it a reliable option in open areas with unobstructed sky views. However, signal degradation may occur in indoor spaces and urban canyons.…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Simegnew Yihunie Alaba

An algorithm based on Artificial Neural Networks is proposed in this paper to improve the accuracy of Inertial Navigation System (INS)/ Global Navigation Satellite System (GNSS) integrated navigation during the absence of GNSS signals. The…

Signal Processing · Electrical Eng. & Systems 2020-10-07 Uche Onyekpe , Vasile Palade , Stratis Kanarachos

The global averaged civilian positioning accuracy is still at meter level for all existing Global Navigation Satellite Systems (GNSSs), and the performance is even worse in urban areas. At lower altitudes than satellites, high altitude…

Signal Processing · Electrical Eng. & Systems 2023-01-03 Hongzhao Zheng , Mohamed Atia , Halim Yanikomeroglu

There is an increase in interest to model driving maneuver patterns via the automatic unsupervised clustering of naturalistic sequential kinematic driving data. The patterns learned are often used in transportation research areas such as…

Machine Learning · Statistics 2023-11-14 Matthew Aguirre , Wenbo Sun , Jionghua , Jin , Yang Chen

Accurate and robust global localization is essential to robotics applications. We propose a novel global localization method that employs the map traversability as a hidden observation. The resulting map-corrected odometry localization is…

Robotics · Computer Science 2019-10-02 Cheng Peng , David Weikersdorfer

Global Navigation Satellite System/Inertial Navigation System (GNSS/INS)/Vision integration based on factor graph optimization (FGO) has recently attracted extensive attention in navigation and robotics community. Integrity monitoring (IM)…

Robotics · Computer Science 2024-10-31 Yunong Tian , Tuan Li , Haitao Jiang , Zhipeng Wang , Chuang Shi

The paper discusses the increasing use of hybridized sensor information for GNSS-based localization and navigation, including the use of 3D map-aided GNSS positioning and terrestrial systems based on different geometric measurement…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Paul Schwarzbach , Albrecht Michler , Oliver Michler

In this paper, we introduce the on-line Viterbi algorithm for decoding hidden Markov models (HMMs) in much smaller than linear space. Our analysis on two-state HMMs suggests that the expected maximum memory used to decode sequence of length…

Data Structures and Algorithms · Computer Science 2010-01-25 Rastislav Šrámek , Broňa Brejová , Tomáš Vinař

To obtain a high-accuracy position with SINS(Strapdown Inertial Navigation System), initial alignment needs to determine initial attitude rapidly and accurately. High-accuracy grade IMU(Inertial Measurement Uint) can obtain the initial…

Robotics · Computer Science 2022-03-01 Xiaokang Yang , Gongmin Yan , Hao Yang , Sihai Li

A hidden Markov model (HMM) scheme for tracking continuous-wave gravitational radiation from neutron stars in low-mass X-ray binaries (LMXBs) with wandering spin is extended by introducing a frequency-domain matched filter, called the…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 S. Suvorova , P. Clearwater , A. Melatos , L. Sun , W. Moran , R. J. Evans

We study modifications of the Viterbi Training (VT) algorithm to estimate emission parameters in Hidden Markov Models (HMM) in general, and in mixure models in particular. Motivated by applications of VT to HMM that are used in speech…

Statistics Theory · Mathematics 2007-06-13 J. Lember , A. Koloydenko

Hidden Markov models (HMMs) and partially observable Markov decision processes (POMDPs) form a useful tool for modeling dynamical systems. They are particularly useful for representing environments such as road networks and office…

Artificial Intelligence · Computer Science 2013-01-30 Hagit Shatkay

Gravitational wave searches for continuous-wave signals from neutron stars are especially challenging when the star's spin frequency is unknown a priori from electromagnetic observations and wanders stochastically under the action of…

Instrumentation and Methods for Astrophysics · Physics 2016-07-13 S. Suvorova , L. Sun , A. Melatos , W. Moran , R. J. Evans

A framework for tightly integrated motion mode classification and state estimation in motion-constrained inertial navigation systems is presented. The framework uses a jump Markov model to describe the navigation system's motion mode and…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Isaac Skog , Gustaf Hendeby , Manon Kok

Traditional land vehicle gravity measurement heavily rely on high-precision satellite navigation positioning information. However, the operational range of satellite navigation is limited, and it cannot maintain the required level of…

Instrumentation and Detectors · Physics 2024-10-23 Kefan Zhang , Zhili Zhang , Junyang Zhao , Shenhua Lv