Yeliz Karaca

About

Yeliz Karaca is an Associate Professor of Applied Mathematics at the Department of Mathematics and a Senior Researcher Professor at the Department of Neurology, University of Massachusetts Chan Medical School (UMass), USA as well as a collaborator at Massachusetts Institute of Technology (MIT), USA. She has been serving as a teacher of Mathematics and other courses for 24 years at different levels and educational institutions. Dr. Karaca is the founding member and president of the Systems Sciences, Complex Systems and Nonlinear Intelligence Dynamics Institute Academy (http://ssnid.org/) at UMass, USA. She is the Editor-in-Chief of the book series entitled Systems Science & Nonlinear Intelligence Dynamics (https://www.worldscientific.com/series/ssnid) by World Scientific. Dr. Karaca received her Ph.D. degree in Mathematics in 2012 and her Master of Science degree in Theoretical Mathematics in 2008 with Honors. Along with the other awards Dr. Karaca has been conferred, she was granted the Cooperation in Neurological Sciences and Support Award associated with her Ph.D. dissertation by Turkish Neurology Association as the first mathematician in Türkiye. Besides these, she holds a medical card, based on the long-term various medical and clinical-related trainings she has received and been certified, as the only mathematician entitled to it. Furthermore, she received the Outstanding Young Scientist Award in 2012 and Best Paper Awards in her specialized discipline, among the other national and international awards in different categories as well as grants. Another award of hers is Outstanding Reviewer Award (Mathematics Journal, MDPI) (https://l24.im/gqIA9 ) in 2021. As for some publications, Dr. Karaca has the following books: Computational Methods for Data Analysis, De Gruyter (2018) Computational Science and Its Applications– Lecture Notes in Computer Science (ICCSA 2023, with series 1-9), Springer Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems, Elsevier (2022) Intelligent Fractal-Based Image Analysis: Applications in Pattern Recognition and Machine Vision, Elsevier (2024) Mathematical Modeling, Applied Analysis and Computational Methods, Springer (2025) Computational and Mathematical Neuroscience, Biology & Medicine: Clinical and Medical Applications, Wiley-IEEE Press (due for 2025) Dr. Karaca has been acting as an editor, topic editor, guest editor and associate editor in many different issues in SCI indexed journals such as Fractals Journal (WS), IEEE Access Journal; Brain X Journal (Wiley), Electronics Journal (MPDI); International Journal of Big Data and Analytics in Healthcare (IJBDAH) (IGI). In addition, she is the leading editor of several special issues, some of which are outlined as follows: Fractals- Fractional AI-Based Analyses and Applications to Complex Systems (Part IV, III, II, I), Fractals Journal, World Scientific (2020-2024) Advanced fractional calculus, differential equations and neural networks: analysis, modelling and numerical computations", Physica Scripta Journal (2022, 2023) Advanced Fractals and Fractional Calculus with Science and Engineering Applications: Computing, Dynamics and Control in Complex Systems- Part II and I, Applied Mathematics in Science and Engineering Journal, Taylor & Francis (2022-2024) Mathematical Modeling of Complex Systems: Fractals-Fractional-Itô-AI-DEs-Based Theories, Analyses and Applications-Part II-I, Fractals Journal (2023-…) Computational Complexity, Mathematical Sciences and Complexity Science: Artificial Intelligence and Complex Systems’ Theories and Applications - Part II- I, JEAM, L&H Scientific Publishing (2023-…) Mathematical Complexity Modeling and Artificial Intelligence of Complex Systems and Nonlinear Sciences: Fractal-Fractional, Variational, Stochastic and Quantum Calculus' Analyses and Applications-Part I, NSP Publishing (2024-...) Mathematical Applications and Computational Intelligence in Medicine and Biology, MDPI (2024-…) Dr. Karaca has been acting as a general chair, chair and offered lectures, seminar courses and workshops on mathematics, engineering and applied sciences of international conferences, some of which are as follows: the founding member and the general chair of IWW (https://iww.itu.edu.tr/); the general chair of ICCSA 2025 (https://iccsa.org/); NSC; ICFDA; IETI ICIIP and ICAIM. The research interests of Dr. Karaca mainly focus on complex systems with applications in various terrains, applied mathematics, computational methods, AI applications, computational complexity, fractional calculus, multifractals, multifractional methods, stochastic processes, mathematical systems, complexity sciences, DEs and difference equations, discrete mathematics, wavelet, entropy, solutions of advanced mathematical challenges, mathematical neuroscience and biology as well as advanced data analysis in medicine other related theoretical, computational and applied domains.

Publications

Classification of Erythematous - Squamous Skin Diseases Through SVM Kernels and Identification of Features with 1-D Continuous Wavelet Coefficient

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book-chapter

Data-Driven Time Series Modeling with Hurst Exponent for Nonlinear Indexes’ Forecasting by Artificial Neural Networks

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book-chapter

Towards Smarter Vegetation Health Clustering: Insights from Fractal Dimension, NDVI, and LST Metrics Derived via Remote Sensing Landsat Dataset

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book-chapter

Pixel Map-Based Hybrid AI Framework for Early and Accurate Cardiovascular Disease Diagnosis

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Journal of Computational and Applied Mathematics

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journal-article

A COMPREHENSIVE ANALYSIS AND OPTIMAL CONTROL FOR A NONLINEAR (φ1,φ2)-FRACTIONAL DIFFERENTIAL EQUATIONS TOXIC DRINKS MODEL PERTAINING TO MITTAG-LEFFLER KERNEL TECHNIQUES

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Fractals

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ADVANCED DYNAMIC NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL DIFFERENTIAL OPERATORS FOR CYTOTOXIC T LYMPHOCYTE MODEL PERTAINING TO MITTAG-LEFFLER KERNEL

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Fractals

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HUMAN–COMPUTER DIALOGUE SYSTEMS-BASED IMAGE-TEXT VISUALIZATION, FUSION AND MULTI-INTENT MODELS’ CONSTRUCTION

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Fractals

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Controllability of pantograph-type nonlinear non-integer order differential system with input delay

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Alexandria Engineering Journal

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journal-article

Gradient-Based Weighted Central Pixel Matching for Efficient Fractal Image Coding

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book-chapter

FRACTAL FEATURE MODELING: MULTI-DIMENSIONAL ATTENTION AND SPATIAL ADAPTIVE RELATIONSHIP LEARNING FOR PERSON RE-IDENTIFICATION

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Fractals

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MONIC CHEBYSHEV’S FIRST DERIVATIVE PSEUDO-GALERKIN METHOD FOR SOLVING LINEAR AND NONLINEAR IBVPS: REAL-LIFE AND PHYSICAL APPLICATIONS

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Fractals

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A NEW ANALYSIS OF THE AB-FRACTAL-FRACTIONAL OPERATORS USING THE GENERALIZED GAMMA FUNCTION IN GEOMETRIC PATTERNS

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Fractals

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Secure Image Encryption Using Single-Mode Fiber and Dense Wavelength Division Multiplexing in Chaotic Systems

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book-chapter

COLOR IMAGE ENCRYPTION THROUGH MULTI-S-BOX GENERATED BY HYPERCHAOTIC SYSTEM AND MIXTURE OF PIXEL BITS

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Fractals

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The Time Series Classification of Discrete-Time Chaotic Systems Using Deep Learning Approaches

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Mathematics

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A multi-step mathematical model-based predictive strategy for software release timing during testing stage

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Mathematical Modelling and Numerical Simulation with Applications

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3D Chaotic Nonlinear Dynamic Population-Growing Mathematical System Modeling with Multiple Controllers

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Chaos Theory and Applications

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Juxtaposition across Mathematical Modeling, Stochastic Processes along with the Lenses of Philosophy of Science and AI integration in Medicine and Biology: An Overview

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Computers and Electronics in Medicine

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CHAOS THEORY, ADVANCED METAHEURISTIC ALGORITHMS AND THEIR NEWFANGLED DEEP LEARNING ARCHITECTURE OPTIMIZATION APPLICATIONS: A REVIEW

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Fractals

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journal-article

A Pseudo Random Number Generator Based on 4D Hyperchaotic Systems, Riddled Basins of Attraction and Advanced Microfluidic Technology

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book-chapter

Wavelets for anisotropic oscillations in nanomaterials

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book-chapter

The Time Series Classification of Discrete-Time Chaotic Systems Using Deep Learning Approaches

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Mathematics

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Advanced fractional calculus, differential equations and neural networks: analysis, modeling and numerical computations

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Physica Scripta

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Pantographic formulation of a nonlinear system of fractional order with delays and examination of its controllability

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The European Physical Journal Special Topics

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Fractional Order Computing and Modeling with Portending Complex Fit Real-World Data

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book-chapter

Computational Complexity-based Fractional-Order Neural Network Models for the Diagnostic Treatments and Predictive Transdifferentiability of Heterogeneous Cancer Cell Propensity

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Chaos Theory and Applications

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A COMPUTATIONAL ANALYSIS FRACTIONAL COMPLEX-ORDER VALUES BY ABC OPERATOR AND MITTAG-LEFFLER KERNEL MODELING

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Fractals

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A POWER SERIES METHOD FOR THE FUZZY FRACTIONAL LOGISTIC DIFFERENTIAL EQUATION

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Fractals

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ARTIFICIAL INTELLIGENCE-DRIVEN APPROACH TO IDENTIFY AND RECOMMEND THE WINNER IN A TIED EVENT IN SPORTS SURVEILLANCE

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Fractals

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COMPLEX MATHEMATICAL MODELING FOR ADVANCED FRACTAL–FRACTIONAL DIFFERENTIAL OPERATORS WITHIN SYMMETRY

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Fractals

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EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES

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Fractals

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FRACTIONAL CALCULUS OPERATORS–BLOCH–TORREY PARTIAL DIFFERENTIAL EQUATION–ARTIFICIAL NEURAL NETWORKS–COMPUTATIONAL COMPLEXITY MODELING OF THE MICRO–MACROSTRUCTURAL BRAIN TISSUES WITH DIFFUSION MRI SIGNAL PROCESSING AND NEURONAL MULTI-COMPONENTS

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Fractals

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journal-article

MULTIPLE SOLITONS, BIFURCATIONS, CHAOTIC PATTERNS AND FISSION/FUSION, ROGUE WAVES SOLUTIONS OF TWO-COMPONENT EXTENDED (2+1)-D ITÔ CALCULUS SYSTEM

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Fractals

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journal-article

NOVEL TRAVELING-WAVE SOLUTIONS OF SPATIAL-TEMPORAL FRACTIONAL MODEL OF DYNAMICAL BENJAMIN–BONA–MAHONY SYSTEM

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Fractals

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SYMMETRICALLY CONFORMABLE FRACTIONAL DIFFERENTIAL OPERATORS BY COMPUTATIONAL NUMERICAL MODELING WITH SPECIAL FUNCTION

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Fractals

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Algorithmic Complexity-Based Fractional-Order Derivatives in Computational Biology

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book-chapter

Analytic Solutions of Fractional Differential Equation Associated with the k-Symbol Tremblay Differential Operator

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book-chapter

A New Fractional-order Derivative-based Nonlinear Anisotropic Diffusion Model for Biomedical Imaging

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Chaos Theory and Applications

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Economic Order Quantity Model-Based Optimized Fuzzy Nonlinear Dynamic Mathematical Schemes

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Computational Intelligence and Neuroscience

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Theory of complexity, origin and complex systems

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book-chapter

New Bright and Kink Soliton Solutions for Fractional Complex Ginzburg–Landau Equation with Non-Local Nonlinearity Term

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Fractal and Fractional

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New Bright and Kink Soliton Solutions for Fractional Complex Ginzburg–Landau Equation with Non-Local Nonlinearity Term

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Fractal and Fractional

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NON-AUTONOMOUS FRACTIONAL EVOLUTION EQUATIONS WITH NON-INSTANTANEOUS IMPULSE CONDITIONS OF ORDER (1,2): A CAUCHY PROBLEM

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Fractals

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THEORETICAL AND NUMERICAL INVESTIGATION OF COMPLEXITIES IN FRACTIONAL-ORDER CHAOTIC SYSTEM HAVING TORUS ATTRACTORS

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Fractals

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Effective Analytical Computational Technique for Conformable Time-Fractional Nonlinear Gardner Equation and Cahn-Hilliard Equations of Fourth and Sixth Order Emerging in Dispersive Media

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Journal of Function Spaces

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Sustainable Energy Consumption Model for Textile Industry Using Fully Intuitionistic Fuzzy Optimization Approach

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Computational Intelligence and Neuroscience

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Hidden Markov Model and multifractal method-based predictive quantization complexity models vis-á-vis the differential prognosis and differentiation of Multiple Sclerosis’ subgroups

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Knowledge-Based Systems

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Artificial neural network modeling of systems biology datasets fit based on Mittag-Leffler functions with heavy-tailed distributions for diagnostic and predictive precision medicine

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book-chapter

Computational fractional-order calculus and classical calculus AI for comparative differentiability prediction analyses of complex-systems-grounded paradigm

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book-chapter

Introduction

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book-chapter

Mittag-Leffler functions with heavy-tailed distributions' algorithm based on different biology datasets to be fit for optimum mathematical models' strategies

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book-chapter

Multi-chaos, fractal and multi-fractional AI in different complex systems

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book-chapter

Multifractal complexity analysis-based dynamic media text categorization models by natural language processing with BERT

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book-chapter

Pattern formation induced by fractional-order diffusive model of COVID-19

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book-chapter

Shannon entropy-based complexity quantification of nonlinear stochastic process

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book-chapter

Fractional Dynamics of Vector-Borne Infection with Sexual Transmission Rate and Vaccination

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Mathematics

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journal-article

SECONDARY PULMONARY TUBERCULOSIS RECOGNITION BY ROTATION ANGLE VECTOR GRID-BASED FRACTIONAL FOURIER ENTROPY

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Fractals

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journal-article

ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE

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Fractals

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COMPLEX FRACTIONAL-ORDER HIV DIFFUSION MODEL BASED ON AMPLITUDE EQUATIONS WITH TURING PATTERNS AND TURING INSTABILITY

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Fractals

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NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS

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Fractals

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NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, (<i>h</i>)over-bar)-CONVEX FUNCTIONS IN HILBERT SPACE

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Fractals

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SPECIAL ISSUE SECTION ON FRACTAL AI-BASED ANALYSES AND APPLICATIONS TO COMPLEX SYSTEMS: PART I

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Fractals

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Fractional Dynamics of Vector-Borne Infection with Sexual Transmission Rate and Vaccination

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Mathematics

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Characterizing Complexity and Self-Similarity Based on Fractal and Entropy Analyses for Stock Market Forecast Modelling

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Expert Systems with Applications

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A NOVEL R/S FRACTAL ANALYSIS AND WAVELET ENTROPY CHARACTERIZATION APPROACH FOR ROBUST FORECASTING BASED ON SELF-SIMILAR TIME SERIES MODELING

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Fractals

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Decision Tree-Based Transdisciplinary Systems Modelling for Cognitive Status in Neurological Diseases

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Lecture Notes in Computer Science

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journal-article

Glomerulus Classification via an Improved GoogLeNet

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IEEE Access

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journal-article

Multifractional Gaussian Process Based on Self-similarity Modelling for MS Subgroups' Clustering with Fuzzy C-Means

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International Conference on Medical Image Computing and Computer Assisted Intervention - MICCAI (Lecture Notes in Computer Science)

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conference-paper

Theory, Analyses and Predictions of Multifractal Formalism and Multifractal Modelling for Stroke Subtypes' Classification

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Lecture Notes in Computer Science

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journal-article

Fractal and multifractional-based predictive optimization model for stroke subtypes’ classification

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Chaos, Solitons & Fractals

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A Comparison of Two Holder Regularity Functions to Forecast Stock Indices by ANN Algorithms

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Lecture Notes in Computer Science

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Multifractal Analysis with L2 Norm Denoising Technique: Modelling of MS Subgroups Classification

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Lecture Notes in Computer Science

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journal-article

Wavelet-based Multifractal Spectrum Estimation in Hepatitis Virus Classification Models by Using Artificial Neural Network Approach

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Global Virology III: Virology in the Century

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journal-article

Mobile cloud computing based stroke healthcare system

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International Journal of Information Management

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journal-article

Gini Based Learning for the Classification of Alzheimer’s Disease and Features Identification with Automatic RGB Segmentation Algorithm

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book-chapter

Stroke Subtype Clustering by Multifractal Bayesian Denoising with Fuzzy C Means and K‐Means Algorithms

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Complexity

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journal-article

ANN Classification of MS Subgroups with Diffusion Limited Aggregation

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book-chapter

CLUSTERING MULTIPLE SCLEROSIS SUBGROUPS with MULTIFRACTAL METHODS and SELF-ORGANIZING MAP ALGORITHM

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Fractals

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journal-article

Comparison of deep learning and support vector machine learning for subgroups of multiple sclerosis

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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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book

Rank Determination of Mental Functions by 1D Wavelets and Partial Correlation

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Journal of Medical Systems

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journal-article

The classification of Turkish economic growth by artificial neural network algorithms

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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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book

The differential diagnosis of multiple sclerosis using convex combination of infinite kernels

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CNS and Neurological Disorders - Drug Targets

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journal-article

1D Wavelet and Partial Correlation Application for MS Subgroup Diagnostic Classification

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book-chapter

Application and comparison of ANN and SVM for diagnostic classication for cognitive functioning

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Applied Mathematical Sciences

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journal-article

Case study on artificial neural networks and applications

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Applied Mathematical Sciences

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journal-article

Linear modeling of multiple sclerosis and its subgroubs | Multipl skleroz ve alt gruplarının doğrusal modeli

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Turk Noroloji Dergisi

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journal-article

Application of Decision Tree for Classification of MS Diagnosis, Expanded Disability Status Scale and Lesion Numbers

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conference-paper

BAYESIAN NETWORKS FOR SUB-GROUPS OF MULTIPLE SCLEROSIS

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INTERNATIONAL JOURNAL OF ELECTRONICS; MECHANICAL and MECHATRONICS ENGINEERING

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Wavelet Analysis of Anxiety and Mathematics Performance

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