Graduate School of Applied Mathematics, Thesis

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Thesis (444)

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Akcengiz, Ziya (2)
Akdoğan, Emre (2)
Akleylek, Sedat (2)
Akman, Tuğba (2)
Altıntan, Derya (2)

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Natural Sciences (82)
Cryptography. (55)
Engineering and Technology (50)
Data encryption (Computer science). (30)
Finance. (28)

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2004 - 2009 (74)
2010 - 2019 (229)
2020 - 2025 (141)

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Master Thesis (306)
Ph.D. Thesis (138)

Recent Submissions

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 ...
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...
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...
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-...
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...
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...
A Study Of Single Secret Leader Election Protocol Constructions For Robust Proof Of Stake Consensus Fettuh, Tegrid; Yayla, Oğuz; Department of Cryptography (2025-8-26) As blockchains move from energy intensive Proof-of-Work to more sustainable Proof-of-Stake (PoS), scalable and secure leader election protocols, which is key to PoS systems, have become a major focus. Single Secret Leader ...
An optimal pairs trading strategy based on the inhomogeneous geometric Brownian motion Karakurt, Caner; Uğur, Ömür; Hekimoğlu, Alper Ali; Department of Financial Mathematics (2025-7-29) This study develops an optimal pairs trading strategy based on the inhomogeneous geometric Brownian motion (IGBM) process. The proposed model aims to identify an upper boundary that maximizes the expected return of the str...
FUZZY-INFERRED PCA AND HIERARCHICAL HMM PATTERN RECOGNITION FRAMEWORK FOR REGIME DETECTION AND INFLATION FORECASTING Koç, Oğuz; Kestel, Sevtap Ayşe; Department of Financial Mathematics (2025-7-14) Precise inflation forecasting is critical for sound economic decision-making across various sectors, including policy development, budget allocation, and financial planning. Traditional theoretical models, while valuable, ...
JOINT DISTRIBUTIONS OF THE MAXIMUM DRAWDOWN AND MAXIMUM DRAWUP IN LÉVY PROCESSES Akdoğan, Emre; Vardar Acar, Ceren; Department of Financial Mathematics (2025-7-7) The maximum drawdown and maximum drawup variables in a certain time period have attracted the attention of investors and have been used as dynamic risk measures. This thesis aims to derive the joint probability distributio...
Extended LP Bound for LCD codes and New Binary and Ternary LCD Codes Emre, Karabakla; Buket, Özkaya; Department of Cryptography (2025-7-3) The linear‐programming (LP) methodology proposed by Dougherty et al. originally formulated for binary LCD codes, is generalized herein to arbitrary $q$-ary settings. A unified LP bound is derived that subsumes and strengt...
STRUCTURE PRESERVING SIGNATURES WITH KEY BLINDING Çelik, Emircan; Yayla, Oğuz; Department of Cryptography (2025-7-02) While digital signatures serve to confirm message integrity and the identity of the signer, the inherent link between the public key and the signer’s identity can pose challenges in anonymized networks or applications focu...
Quantum-Resistant Verifiable Timed Signature Schemes Uslu, Erkan; Yayla, Oğuz; Department of Cryptography (2025-6-26) Verifiable Timed Signatures (VTS) are cryptographic constructions that ensure a digital signature can only be obtained at a specific point in the future, while also providing a proof to the verifier that the signature alre...
QUANTUM MAXIMUM DISTANCE SEPERABLE CODES KIRCALI, MUSTAFA; Özkaya, Buket; Özbudak, Ferruh; Department of Cryptography (2025-1-10) Quantum error-correcting codes (QECCs) are a cornerstone of fault-tolerant quantum computing, providing an essential means to protect delicate quantum information from the inevitable errors introduced by decoherence, noise...
Stochastic Non-Life Reserve Estimation and Risk Adjustments under IFRS 17 Akarsu Şengöz, Gülçin; Kestel, Sevtap Ayşe; Kestel, Sevtap Ayşe; Department of Financial Mathematics (2025-1-10) Claim reserving is always a critical concept in the insurance sector. Various approaches, both stochastic and deterministic, are developed and extensively discussed in the literature; deterministic approaches, such as the ...
Hitting Probabilities of Constrained Simple Random Walks in Three Dimensions Aktepe İlter, Cansu; Sezer, Ali Devin; Department of Financial Mathematics (2025-1-7) We study the constrained simple random walk in three dimensions modeling the state of a queueing system with three nodes working in parallel. The process is assumed to be stable, i.e., the service rate at each node is grea...
Inventory process dynamics of a market making model with regime switch Alkan, Nazlan Belemir; Sezer, Ali Devin; Başoğlu Kabran, Fatma; Department of Financial Mathematics (2025-1-07) We study a version of the Avellaneda Stoikov (AS) market-making model, which optimizes the bid and ask spread of the market maker, with regime switch as proposed in the preprint ``Short Term Market Changes and Market Maki...
Efficient Batch Algorithms for the Post-Quantum Crystals Dilithium Signature Scheme and Crystals Kyber Encryption Scheme Türe, Nazlı Deniz; Yayla, Oğuz; Cenk, Murat; Department of Cryptography (2024-9-6) Digital signatures ensure authenticity and data integrity and are widely utilized in various fields such as information technologies, finance, education, and law. They are crucial in securing servers against cyber attacks ...

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