Klaster cebirleri teorisinde kombinatoryal metodlar

Klaster Cebirlerinin Mütasyon Sınıfları Seven, Ahmet İrfan(2016) Klaster cebirleri (cluster algebras) önce matematiğin klasik bir alanı olan temsil teorisinde ortaya çıkmış ve daha sonra varlığı diğer farklı alanlarda da farkedilmiş bir matematiksel yapıdır. Bu projede, klaster cebirlerini belirleyen mütasyon sınıflarının temel cebirselkombinatoryal özellikleri ortaya çıkarılmıştır. Bu kapsamda, matematiğin temel objelerinden olan Kac-Moody Lie cebirlerine karşılık gelen klaster cebirleri ile çeşitli sonlu mütasyon tipine sahip klaster cebirleri için mütasyon değişmezler...
Belief propagation decoding using factor graph permutations Tosun, Berna; Diker Yücel, Melek.; Department of Electrical and Electronics Engineering (2019) Capacity-achieving polar codes, introduced by Arıkan have attracted significant attention over a decade. The bottleneck in coding is the decoder structure that achieves good performance with low hardware implementation cost and high throughput. Unlike the successive cancellation decoder, belief propagation decoder that can be improved by decoding on multiple factor graphs, allows for parallel decoding. For a polar code of length N, there are ({u1D459}{u1D45C}{u1D454}2{u1D441})!={u1D45B}!different permutatio...
Determination of stochastic model parameters of inertial sensors Ünver, Alper; Demirekler, Mübeccel; Department of Electrical and Electronics Engineering (2013) Gyro and accelerometer systematic errors due to biases, scale factors, and misalignments can be compensated via an on-board Kalman filtering approach in a Navigation System. On the other hand, sensor random noise sources such as Quantization Noise (QN), Angular Random Walk (ARW), Flicker Noise (FN), and Rate Random Walk (RRW) are not easily estimated by an on-board filter, due to their random characteristics. In this thesis a new method based on the variance of difference sequences is proposed to compute th...
Genome-wide sequence analysis of human splice acceptor regions for motif discovery Karaduman Bahçe, Gülşah; Aydın Son, Yeşim; Department of Medical Informatics (2020-12-23) For eukaryotic cells, alternative splicing of genes is a vital mechanism that drives protein diversity. Splicing signals on the genomic sequence controls the regulatory factors that orchestrate the alternative splicing. 3’ and 5’ splice sites and common branchpoint sequences are the primary splicing signals, and changes in these signals can be disease- causing. Nevertheless, an extensive genome-wide analysis of the sequences around these signals is lacking. In this study, we focused on the genome-wide motif...
Simulating stochastic differential equations using Ito-Taylor schemes Baylan, Ekin; Yolcu Okur, Yeliz; Uğur, Ömür; Department of Financial Mathematics (2014) The aim of this work is to understand the stochastic Taylor schemes and to measure the accuracy of them by comparing their closeness to the exact solutions at the discretization points. Our assumption is that when we use the stochastic Taylor schemes with higher orders, we obtain better approximation processes to exact solutions of the stochastic differential equations. We give the stochastic Taylor schemes with different orders by regarding the convergence criteria for the stochastic differential equations...

Citation Formats

A. İ. Seven, “Klaster cebirleri teorisinde kombinatoryal metodlar,” 2013. Accessed: 00, 2020. [Online]. Available: https://app.trdizin.gov.tr/publication/project/detail/TVRReE1EZzQ.