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9 articles for “Markov”
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Modeling the Novel Coronavirus Disease (COVID-19) as Hidden Markov Chains
Abstract: The Hidden Markov Model has over the years been an appropriate method for modeling diseases such as HIV AIDS, heart failure, and so on. With the ongoing pandemic affecting Nigeria by being responsible for 2,745 death cases out of 207,616 confirmed cases as of October 10, 2021, the need to study an important parameter of COVID-19, the case fatality rate by building a model and estimating the case fatality rate …
Published in Research & Reviews : Journal of Statistics Read article
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Impact of Partially Observable Markov Decision Process in Next Generation Satellite for Remote Sensing
Abstract: The integration of Partially Observable Markov Decision Processes (POMDPs) in next- generation satellite systems represents a transformative advancement in remote sensing technology. This article explores how POMDP frameworks address the inherent uncertainties and incomplete observability challenges in satellite operations, including dynamic task scheduling, resource allocation, and adaptive sensing strategies. By modeling satellite decision-making under uncertainty, POMDPs enable autonomous systems to optimize mission objectives while managing constraints such as limited power, …
Published in International Journal of Satellite Remote Sensing · Vol. 3, Issue 2, 2025 · pp. 20–28 Read article
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Analysis of Gold Price Trend Using the Hidden Markov Model
Abstract: This study aims to analyze the behavior of gold prices in India through a two-state Hidden Markov Model (HMM). We first formulated crucial parameters, such as the Transition Probability Matrix (TPM), Initial Probability Vector (IPV), and Emission Probability Matrix (EPM). Subsequently, we constructed a hidden Markov probability distribution and evaluated Pearson’s coefficients to gauge the correlations separately for each state. The goodness of fit of the developed model was assessed …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 2, 2024 · pp. 7–16 Read article
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Evolution of Kitchen Robots: A Review
Abstract: Robots are the machines designed and developed by humans which are more capable and efficient in doing such works and tasks which humans are unable to do or do with less efficiency. These machines are able to perform the tasks which are hard or impossible for humans. There are many robots which resemble like human, animal or even insects and are employed in different sectors. For example, dogs in bomb …
Published in Journal of Mechatronics and Automation · Vol. 11, Issue 1, 2024 · pp. 32–47 Read article
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On The Risk of Urban Road Pavement Failure: A Case Study of Owerri, Imo State
Abstract: In this research work, we study the risk of road pavement failures in Owerri Imo State. The study deviates from other research work in this area that focused on the nature of road pavement failures without considering the risk involved with respect to human life and others. This was the aspect the study delved into. The researchers used questionnaires to collect primary data from randomly selected respondents on axle load …
Published in International Journal of Urban Design and Development · Vol. 3, Issue 1, 2025 · pp. 16–24 Read article
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Agentic AI: Architectures, Types, Capabilities, Mathematical Equations and Governance in the Era of Autonomous Intelligence
Abstract: Agentic Artificial Intelligence (Agentic AI) represents a major advancement in the evolution of intelligent systems by enabling autonomous planning, decision-making, and action execution. Unlike traditional AI models, which are primarily reactive and designed to respond to predefined inputs, Agentic AI systems possess capabilities such as memory, reasoning, goal-oriented planning, tool integration, and dynamic adaptation to changing environments. These characteristics allow them to perform complex, multi-step tasks with minimal human intervention, …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 Read article
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The Characteristics of Square-Well Fluid Transport Coefficients
Abstract: The transport coefficients of the hard-sphere system were first computed by Alder, providing foundational insight into the microscopic origins of viscosity, diffusion, and thermal conductivity in simple fluids. Building on this framework, Evans derived a generalized Langevin equation to describe the time evolution of dynamical variables, incorporating memory effects and non-Markovian behavior in molecular motion. These theoretical developments established a bridge between microscopic interactions and macroscopic transport properties. When an …
Published in Research & Reviews : Journal of Physics · Vol. 14, Issue 3, 2025 · pp. 33–44 Read article
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AI-Driven Inverse Design of Functionally Graded Bio-Nanocomposites for Sustainable High-Barrier Packaging
Abstract: Multilayer plastic packaging realizes high barrier performance through laminated heterogeneous structures, but the heterogeneous structure has severe end-of-life challenges caused by the interfacial incompatibility of materials and the poor recyclability. This study proposes the inverse design of functionally graded PLA-nanoclay composite films by reinforcement learning as a monolithic alternative to traditional multilayer systems. Twin-screw extrusion is designed as a continuous control Markov decision process, and proximal policy optimization (PPO) is …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 1547–1564 Read article
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Semiring-Weighted Automata and Recursive Path Counting for Multi-State Reliability in Discrete Infrastructures
Abstract: Multi-state infrastructures such as communication backbones, microgrids, warehouse routing systems, and sensor-actuator pipelines evolve through discrete event sequences rather than through a single binary "working/failed" transition. This paper develops a semiring-weighted automata framework for reliability analysis in which state changes, repair actions, and degraded operating modes are represented by weighted transitions on a finite automaton. A path valuation is defined over an additively idempotent reliability semiring and extended to a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 30–36 Read article