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Wever, Teun (author)In this research a new method for pricing continuous Arithmetic averaged Asian options is proposed. The computation is based on Fourier-cosine expansion, namely the COS method. Therefore, we derive the characteristic function of Integrated Geometric Brownian Motion based on Bougerol's identity. <br/><br/>Extensive numerical error analysis on the...master thesis 2023
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Overwater, R.W.J. (author), Babaie, M. (author), Sebastiano, F. (author)Quantum error correction (QEC) is required in quantum computers to mitigate the effect of errors on physical qubits. When adopting a QEC scheme based on surface codes, error decoding is the most computationally expensive task in the classical electronic back-end. Decoders employing neural networks (NN) are well-suited for this task but their...journal article 2022
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Hejderup, Jacob (author)Recently, it has become popular to use Convolutional Neural Networks (CNNs) in embedded and portable devices. The popularity is based on their high accuracy rate in the field of Computer Vision (CV). However, CNNs are computationally intensive due to the convolutional layer, which accounts for over 90% of the operations. To overcome this problem...master thesis 2021
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Buijsman, S.N.R. (author)In recent years philosophers have used results from cognitive science to formulate epistemologies of arithmetic (e.g. Giaquinto in J Philos 98(1):5–18, 2001). Such epistemologies have, however, been criticised, e.g. by Azzouni (Talking about nothing: numbers, hallucinations and fictions, Oxford University Press, 2010), for interpreting the...journal article 2021
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Abhairaj Singh, Abhairaj (author)Modern computing systems suffer due to inability of CMOS-device technology and conventional Von-Neumann architectures to support today's ever-increasing demand of high performance, reliability, cost and energy-efficiency. While CMOS device suffers from high static leakage, reduced reliability and manufacturing complexity; conventional computing...master thesis 2019
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Rissalah, Abdellah (author)In this thesis we research arithmetic progressions in random colourings of the integers. We ask ourselves how many arithmetic progressions are contained in zero density subsets of the integers? And what is the asymptotic distribution of the number of arithmetic progressions? Key motivation for this research are the famous results of Van der...bachelor thesis 2019
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Jiang, Honglan (author), Liu, Leibo (author), Jonker, P.P. (author), Elliott, Duncan G. (author), Lombardi, Fabrizio (author), Han, Jie (author)In this paper, a fixed-point finite impulse response adaptive filter is proposed using approximate distributed arithmetic (DA) circuits. In this design, the radix-8 Booth algorithm is used to reduce the number of partial products in the DA architecture, although no multiplication is explicitly performed. In addition, the partial products are...journal article 2019
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van Dam, Laurens (author), Peltenburg, J.W. (author), Al-Ars, Z. (author), Hofstee, H.P. (author)The newly proposed posit number format uses a significantly different approach to represent floating point numbers. This paper introduces a framework for posit arithmetic in reconfigurable logic that maintains full precision in intermediate results. We present the design and implementation of a L1 BLAS arithmetic accelerator on posit vectors...conference paper 2019
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Looman, Menno (author)In this project, an positive integer addition algorithm for quantum computing is analyzed which does not makes use of carry bits. The paper shows a general parallelization method. Using this method, the circuit runs in O(n) time instead of O(n^2). The algorithm is executed with different input sizes and error rates such that usable values are...bachelor thesis 2018
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Borst, Sander (author)The cap set problem consists of finding the maximum size cap sets, i.e. sets without a 3-term arithmetic progression in F₃. In this thesis several known results on the behavior of this number as n → ∞ are presented. In particular we discuss a reformulation by Terence Tao and Will Sawin of a proof found by Dion Gijswijt and Jordan Ellenberg. It...bachelor thesis 2018
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de Boer, Jelmer (author), de Bree, Emilie (author), Remeijsen, Pascal (author), Verzijl, Matthijs (author)A large problem that primary schools face is that the ratio of pupils to teachers is too high, the class sizes are too large and this makes it difficult for a single teacher to have a good oversight of how the development of a given child is going. The aim of Interactive Robotics is to tackle this problem by bringing robots into the classroom to...bachelor thesis 2017
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Ellenberg, Jordan S. (author), Gijswijt, D.C. (author)In this note, we show that the method of Croot, Lev, and Pach can be used to bound the size of a subset of F n q Fqn with no three terms in arithmetic progression by c n cn with c<q c<q . For q=3 q=3 , the problem of finding the largest subset of F n 3 F3n with no three terms in arithmetic progression is called the <i>cap set problem</i...journal article 2017
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van Nooijen, R.R.P. (author), Kolechkina, A.G. (author)In [1,2] Kulisch defines (ordered) ringoids and vectoids to provide a theoretical basis for computer arithmetic and interval arithmetic. One interesting aspect of his treatment is the search for necessary and sufficient conditions for a meaningful notion of negation and zero. In this paper we consider this both from the point of view of...abstract 2016
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Kathareios, G. (author)DNA sequencing is the process of determining the ordered sequence of the four nucleotide bases in a strand of DNA, for storage in an electronic medium. Since the mid-2000s, with the advent of “Next-Generation” sequencing technologies, the production rate of sequencing data has surpassed the rate with which hard disc prices are decreasing,...master thesis 2014
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Kootstra, P. (author)This thesis investigates whether interval methods can be employed in the construction of a novel controller synthesis algorithm based on backward induction. Interval methods are methods employing interval arithmetic, which is an arithmetic defined on real-valued intervals rather than on real-valued numbers. In the controller synthesis algorithm...master thesis 2014
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Donkers, S. (author)CityGML is a standardized data format used to store the semantic information and geometries of buildings and other object classes of 3D city models. The Level of Detail of current state of the art city models (LoD2) is not sufficient for accurate environmental simulations like noise, the solar potential of windows and other types of analyses. An...master thesis 2013
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Zhang, B. (author), Oosterlee, C.W. (author)We propose an efficient pricing method for arithmetic and geometric Asian options under exponential Lévy processes based on Fourier cosine expansions and Clenshaw–Curtis quadrature. The pricing method is developed for both European style and American-style Asian options and for discretely and continuously monitored versions. In the present paper...journal article 2013
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Crisu, D. (author)In this dissertation, we present the GRAphics AcceLerator (GRAAL) framework for developing embedded tile-based rasterization hardware for mobile devices, meant to accelerate real-time 3-D graphics (OpenGL compliant) applications. The goal of the framework is a low-cost, low-power, high-performance design that delivers good image quality. We...doctoral thesis 2012
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Zhang, B. (author), Van der Weide, J.A.M. (author), Oosterlee, C.W. (author)In this article, we propose an efficient pricing method for Asian options with early–exercise features. It is based on a two–dimensional integration and a backward recursion of the Fourier coefficients, in which several numerical techniques, like Fourier cosine expansions, Clenshaw–Curtis quadrature and the Fast Fourier transform (FFT) are...report 2012
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Spandaw, J. (author), Van Straten, D. (author)We show how certain determinants of hyperelliptic periods can be computed using a generalized arithmetic-geometric mean iteration, whose initialisation parameters depend only on the position of the ramification points. Special attention is paid to the explicit form of this dependence and the signs occurring in the real domain.journal article 2012
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