Graduate School of Applied Mathematics

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Weber, Gerhard Wilhelm (218)
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Recent Submissions

Random Data and Its Cryptographic Applications Yavuzyiğit, Ayşe Eda; Yayla, Oğuz (2026-01-01) Random sequence construction represents fundamental components of modern cryptographic systems. The quantitative assessment of randomness relies upon rigorous statistical testing methodologies, establishing statistical ran...
HESITANT FUZZY LINGUISTIC MATRIX GAME AND ITS APPLICATION IN MCDM PROBLEM Jana, Jishu; Roy, Sankar Kumar; Weber, Gerhard Wilhelm (2026-01-01) . This study focuses on how to establish a connection between game theory and decision making under an uncertain environment. To tackle this uncertainty, an expansion of the hesitant fuzzy set and linguistic term set, i.e....
Blockchain-Based Carbon Footprint Management Pekel, Umut; Yayla, Oğuz (2026-01-01) This paper introduces a novel approach to managing carbon footprints using blockchain technology to integrate these footprints intrinsically into the attributes of products, akin to their price. In contrast to conventional...
DYNAMIC PROPORTION PORTFOLIO INSURANCE FOR MANAGING GAP RISK Saydam, Su; Temoçin, Büşra Zeynep; Department of Financial Mathematics (2025-12-30) This thesis applies the dynamic proportion portfolio insurance strategy to manage gap risk—the probability that the portfolio value falls below the guaranteed floor between discrete rebalancing dates. The CPPI multiplier i...
Multi-criteria group decision-making method using Spherical Fuzzy Z-Numbers for smart technology revolution in municipal waste management Ashraf, Shahzaib; Naeem, Muhammad; Jana, Chiranjibe; Akram, Maria; Weber, Gerhard Wilhelm (2025-12-01) Due to the new phenomenon of globalization and the fast growing cities, there is drastic pressure on the conventional methods of waste management hence the need for innovative management wastage that is proactive to the th...
A Machine Learning Integrated Portfolio Rebalance Framework with Risk Aversion Adjustment Temoçin, Büşra Zeynep (2025-12-01)
THE k-PROPORTIONAL τ-VALUE: EXTENDING COOPERATIVE SOLUTIONS IN BIG BOSS GAMES Ozcan, Ismail; Weber, Gerhard Wilhelm (2025-10-25) . In this study, we introduce the k-proportional tau-value, a novel generalization of the tau-value for cooperative games, achieved by modifying the minimal right vector with a proportionality factor, k. We derive this sol...
A Computational Study on Sobol' Sequences Tokmak, Bahri; Uğur, Ömür (2025-10-11)
Quantum implementation of SLIM and its Grover cryptanalysis ÇILDIROĞLU, HASAN ÖZGÜR; Yayla, Oğuz (2025-10-01) We present a novel quantum implementation of SLIM, a lightweight 32/80-bit Feistel cipher. By inverting its Key addition-Substitution-Permutation (KSP) layers without ancillary qubits, we construct the full quantum circuit...
Linearly Implicit Exponential Integrators for Damped Hamiltonian Pdes UZUNCA, MURAT; Karasözen, Bülent (2025-09-29) We construct second-order structure-preserving two-step linearly implicit exponential integrators for Hamiltonian partial differential equations with linear constant damping combining discrete gradient methods and polariza...
Spatio-temporal crop yield prediction using time-varying copula and actuaries climate index Yavrum, Cem; Kestel, Sevtap Ayşe; Garrido, José (2025-09-10) Climate anomalies pose significant threats to agricultural productivity and food security by severely disrupting crop yields. While weather conditions at harvest time are important, extreme climate anomalies occurring du...
An Analaysis on Quantum Implementation ofLightweiht Hash Algorithm Akkocaoğlu, Hande; Yayla, Oğuz; Department of Cryptography (2025-9-5) The rapid advancements in quantum technologies have introduced significant threats to the security of conventional cryptographic systems. In particular, the evaluation of quantum resource requirements—measured in terms of ...
CLIMATE-ADJUSTED LONGEVITY RISK ON SECOND PILLAR PENSION SYSTEM MODELLING: TURKIYE CASE Narlıoğlu, Tuğba; Kestel, Ayşe Sevtap; Department of Actuarial Sciences (2025-9-1) This thesis aims to assess the longevity risk in the second pillar pension system (SPPS) by combining demographic mortality modelling with climate-driven mortality estimation. In the case of Turkiye, its demographic data i...
INSURANCE FRAUD DETECTION VIA MACHINE LEARNING AND EXPLAINABLE ARTIFICIAL INTELLIGENCE (XAI) Tezel, Cihan; TEMOÇİN, Büşra Zeynep; Department of Actuarial Sciences (2025-9-1) This thesis studies insurance fraud detection with machine learning (ML) methods and explainable artificial intelligence (XAI) tools. The dataset contains insurance policies and their related claims, where fraud is marked ...
Hybrid-Triggered CAT Bond Pricing For Flood Risk Using Copula-EVT Models Biçer Gürgen, Tuğçe; Kestel, A. Sevtap; Yıldırım Külekci, Bükre; Department of Actuarial Sciences (2025-9-01) This thesis develops a hybrid triggered catastrophe (CAT) bond pricing model for flood risk. As a case study we employ the data from Harris County, Texas where three trigger indicators are selected for their relevance to e...
Expected Index of First Occurrence for Binary Patterns of Length 3 in Random Sequences Ulusman, Burcu; Yayla, Oğuz; Department of Actuarial Sciences (2025-8-31) This report presents the expected value calculations of the index at which a fixed binary pattern of length three first appears in a random sequence. The theoreti- cal background is based on the graph-theoretic approach pr...
Mixed Arithmetic-Binary Circuits in Fluid MPC Against Honest Majority of 4-Party and Its Applications Against Semi-Honest Adversary Çabaş, Furkan Kerim; Yayla, Oğuz; Department of Cryptography (2025-8-28) Secure multi-party computation (MPC) protocols that enable conversion between arithmetic and binary data types, initiated by Rotaru et al. with daBits and extended by Escudero et al. through edaBits, provide arithmetic sha...
Infrared Small Target Detection with YOLO: Performance Analysis and Optimization Atrash, Abdulkarim; Uğur, Ömür; ERTEKİN BOLELLİ, ŞEYDA; Department of Scientific Computing (2025-8-27) Infrared Small Target Detection (IRSTD) is a challenging problem with critical applications in defense and surveillance. It involves detecting tiny, low-contrast targets in cluttered infrared scenes. Single-frame IRSTD (SI...
Generator Matrices of Quasi-Cyclic Codes Bayraktar, Gözde Cennet; Özkaya, Buket; Özbudak, Ferruh; Department of Cryptography (2025-8-27) We give a complete solution to an open problem by using the spectral method on the polynomial generator matrices of quasi-cyclic codes of an arbitrary index, with the corresponding reduced Gröbner basis of the given quasi-...
Quantum Implementations of Block Ciphers Çıldıroğlu, Hasan Ozgur; Yayla, Oğuz; Department of Cryptography (2025-8-26) The emergence of quantum computing demands rigorous reassessment of classical cryptographic primitives, particularly lightweight block ciphers (LBCs). This work addresses this critical need by presenting the first comprehe...

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