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Iterative Proportional Fitting (IPF), combined with EM, is commonly used as an algorithm for likelihood maximization in undirected graphical models. In this paper, we present two iterative algorithms that generalize upon IPF. The first one…

Machine Learning · Computer Science 2013-01-07 Wim Wiegerinck , Tom Heskes

In the present study, a numerical method, perturbation-iteration algorithm (shortly PIA), have been employed to give approximate solutions of nonlinear fractional-integro differential equations (FIDEs). Comparing with the exact solution,…

Numerical Analysis · Mathematics 2016-07-28 Mehmet Senol , I. T. Dolapci

We propose and demonstrate a high-bandwidth optical intensity waveform monitoring technique based on frequency-division phase random optimization (FD-PRO) using an opto-electronic finite impulse response (OE-FIR) filter. In this technology,…

Optics · Physics 2025-02-04 Zheqing Sun , Takahide Sakamoto

This paper presents a novel boundary-optimized fast Fourier extension algorithm for efficient approximation of non-periodic functions. The proposed methodology constructs periodic extensions through strategic utilization of boundary…

Numerical Analysis · Mathematics 2025-08-27 Z. Y. Zhao , Y. F Wang , A. G. Yagola

Gain and order scheduling of fractional order (FO) PI{\lambda}D{\mu} controllers are studied in this paper considering four different classes of higher order processes. The mapping between the optimum PID/FOPID controller parameters and the…

Systems and Control · Computer Science 2012-02-28 Saptarshi Das , Sayan Saha , Ayan Mukherjee , Indranil Pan , Amitava Gupta

Fractional order proportional-integral-derivative (FOPID) controllers are designed for load frequency control (LFC) of two interconnected power systems. Conflicting time domain design objectives are considered in a multi objective…

Optimization and Control · Mathematics 2016-12-01 Indranil Pan , Saptarshi Das

In this study, perturbation-iteration algorithm, namely PIA, is applied to solve some types of system of fractional differential equations (FDEs) for the first time. To illustrate the efficiency of the method, numerical solutions are…

Numerical Analysis · Mathematics 2016-07-29 Mehmet Senol , I. T. Dolapci

This paper presents an automated method for optimizing parameters in analog/high-frequency circuits, aiming to maximize performance parameters of a radio-frequency (RF) receiver. The design target includes a reduction of power consumption…

Neural and Evolutionary Computing · Computer Science 2024-03-28 Mingi Kwon , Yeonjun Lee , Ickhyun Song

Fuzzy logic based PID controllers have been studied in this paper, considering several combinations of hybrid controllers by grouping the proportional, integral and derivative actions with fuzzy inferencing in different forms. Fractional…

Optimization and Control · Mathematics 2013-06-18 Saptarshi Das , Indranil Pan , Shantanu Das

The applicability of fractional order (FO) automatic generation control (AGC) for power system frequency oscillation damping is investigated in this paper, employing distributed energy generation. The hybrid power system employs various…

Systems and Control · Computer Science 2016-11-30 Indranil Pan , Saptarshi Das

Particle swarm optimization (PSO) is extensively used for real parameter optimization in diverse fields of study. This paper describes an application of PSO to the problem of designing a fractional-order proportional-integral-derivative…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Ayan Acharya , Mithun Chakraborty , Amit Konar , Ramadoss Janarthanan

One important feature of complex systems are problem domains that have many local minima and substructure. Biological systems manage these local minima by switching between different subsystems depending on their environmental or…

Neural and Evolutionary Computing · Computer Science 2022-08-25 Ankit Grover , Vaishali Yadav , Bradly Alicea

Computationally efficient numerical methods for high-order approximations of convolution integrals involving weakly singular kernels find many practical applications including those in the development of fast quadrature methods for…

Numerical Analysis · Mathematics 2018-10-10 Akash Anand , Awanish Kumar Tiwari

We propose a high-precision numerical quadrature framework based on local Fourier extension (LFE) approximations. The method constructs, on each subinterval, a truncated-SVD stabilized local Fourier continuation of the integrand on an…

Numerical Analysis · Mathematics 2026-03-17 Xinran Liu , Zhenyu Zhao , Benxue Gong

We investigate the conformal algebra on the fuzzy sphere, and in particular the generators of translations and special conformal transformations which are emergent symmetries in the infinite IR but are broken along the RG flow. We show how…

High Energy Physics - Theory · Physics 2025-08-22 Giulia Fardelli , A. Liam Fitzpatrick , Emanuel Katz

We propose a matrix-free finite element (FE) homogenization scheme that is considerably more efficient than generic FE implementations. The efficiency of our scheme follows from a preconditioned well-scaled reformulation allowing for the…

Numerical Analysis · Mathematics 2022-03-08 Martin Ladecký , Richard J. Leute , Ali Falsafi , Ivana Pultarová , Lars Pastewka , Till Junge , Jan Zeman

We present a numerical method for the reconstruction and optimization of complex field synthesis using coherent pulse combination systems. A genetic algorithm utilizing a Fourier optics based propagation method is developed for accurate…

Optics · Physics 2020-05-29 Randy Lemons , Sergio Carbajo

We present a genetic algorithm (GA)-based inverse design framework for synthesizing high-performance planar terahertz (THz) filters integrated with coplanar striplines (CPSs). The method efficiently explores high-dimensional design spaces…

Applied Physics · Physics 2025-06-05 Ali Dehghanian , Thomas Darcie , Levi Smith

This paper proposes a novel approach to improve the training efficiency and the generalization performance of Feed Forward Neural Networks (FFNNs) resorting to an optimal rescaling of input features (OFR) carried out by a Genetic Algorithm…

Machine Learning · Computer Science 2024-02-21 Federico Maria Vitrò , Marco Leonesio , Lorenzo Fagiano

We present an alternative technique for evaluating multiloop Feynman diagrams, using the integration by fractional expansion method. Here we consider generic diagrams that contain propagators with radiative corrections which topologically…

High Energy Physics - Theory · Physics 2009-09-29 Ivan Gonzalez , Ivan Schmidt