Article
Computer Science, Artificial Intelligence
Zhe Jiang, Miao Xie, Arpan Man Sainju
Summary: The spatial prediction problem aims to learn a model that can predict class layers, but it faces challenges due to obstacles, noise, and a large number of sample locations. The proposed geographical hidden Markov tree model addresses these challenges and enhances robustness through overlaying class nodes.
IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING
(2021)
Article
Plant Sciences
Marc Labadie, Karine Guy, Marie-Noelle Demene, Yves Caraglio, Gaetan Heidsieck, Amelia Gaston, Christophe Rothan, Yann Guedon, Christophe Pradal, Beatrice Denoyes
Summary: This article introduces an open-source software called OpenAlea.Strawberry, which is used to study the genetic diversity and spatio-temporal evolution of plant architecture in cultivated strawberry. The research shows that the architectural pattern of strawberry plants has certain characteristics, and certain traits have a significant impact on yield. By establishing a mathematical model, researchers have also identified different probabilities of branch crown production in three regions.
JOURNAL OF EXPERIMENTAL BOTANY
(2023)
Article
Mathematics, Interdisciplinary Applications
Valarmathi Raja, Arulprakash Gowrisankar
Summary: This study explores the variable order fractional calculus of the hidden variable fractal interpolation function. It extends the constant order fractional calculus to variable order. The Riemann-Liouville and the Weyl-Marchaud variable order fractional calculus are investigated for the hidden variable fractal interpolation function. Moreover, the conditions for the variable fractional order μ on a specified range are derived. It is observed that, under certain conditions, the Riemann-Liouville and the Weyl-Marchaud variable order fractional calculus of the hidden variable fractal interpolation function can interpolate the new data set.
FRACTAL AND FRACTIONAL
(2023)
Article
Management
Maria Luz Gamiz, Nikolaos Limnios, Maria Del Carmen Segovia-Garcia
Summary: This paper discusses the use of hidden Markov models in reliability engineering, where the state of the system is not directly observable. The paper investigates the maximum-likelihood estimation of system reliability and the effectiveness of preventive maintenance strategies. Extensive simulation studies are conducted to evaluate the finite sample performance of the methodology.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2023)
Article
Materials Science, Multidisciplinary
Sreekar Voleti, Koushik Pradhan, Subhro Bhattacharjee, Tanusri Saha-Dasgupta, Arun Paramekanti
Summary: In this study, the dual influence of impurity probes in cubic osmate double perovskites was explored. The impurities were found to induce local strain fields, suppressing the octupolar order while exposing the hidden order parameter. This work provides important implications for uncovering hidden order in diverse multipolar materials.
NPJ QUANTUM MATERIALS
(2023)
Article
Statistics & Probability
Emily T. Wang, Sharon Chiang, Zulfi Haneef, Vikram R. Rao, Robert Moss, Marina Vannucci
Summary: This article proposes a Bayesian nonhomogeneous hidden Markov model for clustering and risk assessment of seizure count data. The model provides a probabilistic estimate of seizure risk states at the individual level and improves on previous approaches by incorporating variable selection prior and accommodating granular data. The model's performance is evaluated on simulated and real patient data, demonstrating its clinical utility.
ANNALS OF APPLIED STATISTICS
(2023)
Article
Mathematics, Applied
Victor DeCaria, Ahmet Guzel, William Layton, Yi Li
Summary: Variable stepsize, variable order (VSVO) methods have limited impact in timestepping methods due to computational complexity and implementation difficulties. This study introduces implicit, embedded VSVO methods that require one BDF solve per timestep and linear combinations of previous solutions to compute different orders. The methods of orders two, three, and four have the same computational complexity as variable stepsize BDF3 and do not require additional nonlinear system solves for order changes.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Multidisciplinary Sciences
Nikolaj Roth, Andrew L. Goodwin
Summary: Hidden local order in disordered crystals has a strong impact on electronic and phononic band structures. Local correlations within hidden-order states can open band gaps and change material properties without long-range symmetry breaking. Understanding the importance of hidden order for material properties is crucial, as it offers a new mechanism for tuning material properties orthogonal to conventional structure/property relationships.
NATURE COMMUNICATIONS
(2023)
Article
Computer Science, Information Systems
Abdelali Joumad, Abdelmajid El Moutaouakkil, Abdelaziz Nasroallah, Omar Boutkhoum, Furqan Rustam, Imran Ashraf
Summary: Hidden Markov Chain (HMC) models are widely used in unsupervised image segmentation. This paper proposes an enhancement to the HMC model by introducing a second component to the observed process, based on the average of two neighboring observations. The parameters of this model are estimated using Bayesian methods, Markov Chain Monte Carlo (MCMC), Expectation-Maximization (EM), and Iterative Conditional Estimation (ICE). The proposed model is compared to the classical HMC model using simulated data and visual analysis of synthetic and mammogram images.
JOURNAL OF KING SAUD UNIVERSITY-COMPUTER AND INFORMATION SCIENCES
(2023)
Article
Engineering, Environmental
Janice L. Albers, Juan P. Steibel, Rebekah H. Klingler, Lori N. Ivan, Natalia Garcia-Reyero, Michael J. Carvan, Cheryl A. Murphy
Summary: Fish swimming behaviors serve as an important indicator in aquatic ecotoxicology due to their integration of multiple sensory systems. This study utilized both traditional and new analytical approaches, such as hidden Markov chain models, to investigate the sublethal effects of PCB126 and methylmercury on yellow perch larvae. Results revealed that exposure to these neurotoxicants at low doses led to significant alterations in swimming behaviors, suggesting potential neurodevelopmental impacts.
ENVIRONMENTAL SCIENCE & TECHNOLOGY
(2022)
Article
Automation & Control Systems
Yu Zhang, Zhuo Jin, Jiaqin Wei, George Yin
Summary: This paper studies closed-loop equilibrium strategies for mean-variance portfolio selection problems in a hidden Markov model with dynamic attention behavior. The investor's attention to news is introduced as a control of the accuracy of the news signal process. Equilibrium strategies are found by numerically solving an extended HJB equation using the Markov chain approximation method, and an iterative algorithm is constructed with established convergence. Numerical examples are provided to illustrate the results.
Article
Automation & Control Systems
Chang Liu, Yuru Guo, Zhuo Wang, Yong Xu, Chun-Yi Su
Summary: This study addresses the problem of estimator design for a class of nonuniformly sampled neural networks when the sampling interval is inaccessible to the estimator. A new quantization model based on a hidden Markov chain is proposed, where the emission probability depends on the network status and sampling interval. By assuming that the data receiver can recognize the quantization density instead of the sampling interval, two variables called hidden mode and observed mode are defined, and the associated observed mode-dependent estimator is designed. The effectiveness of the proposed approach is demonstrated through an example.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Mathematics, Applied
Leilei Wei, Huanhuan Wang, Yanping Chen
Summary: This paper investigates a high-order numerical method for a hidden-memory variable order reaction-diffusion equation. The local discontinuous Galerkin method and a finite difference scheme are proposed to discretize the spatial and temporal variables, respectively. An effective decomposition strategy is provided to deal with the monotonic loss of temporal discretization coefficients caused by changing order. The scheme is proven to be unconditionally stable and convergent with O(t + h(k+1)), where t is the temporal step, h is the spatial step, and k is the degree of the piecewise P-k polynomial. Numerical examples are conducted to demonstrate the effectiveness of the scheme and confirm the theoretical convergence rates.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2023)
Article
Horticulture
Charity Z. Goeckeritz, Christopher Gottschalk, Steve van Nocker, Courtney A. Hollender
Summary: This study investigated the potential connection between predormancy flower development and final bloom time in Malus species. Phenological analysis of flower development was performed on early-blooming and late-blooming apple genotypes, revealing that the developmental trajectories of each genotype did not correspond to bloom category, and variations in the floral development stage were observed at the time of dormancy onset.
JOURNAL OF THE AMERICAN SOCIETY FOR HORTICULTURAL SCIENCE
(2023)
Article
Automation & Control Systems
Xiangcheng Zheng, Hong Wang
Summary: In this study, we proved the existence and smoothness of a fractional optimal control model affected by hidden memory, and developed a new splitting method to demonstrate optimal-order error estimates of the discretization without any artificial regularity assumptions. Numerical experiments were conducted to validate the theoretical findings.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2021)