• 제목/요약/키워드: differential evolution.

Search Result 286, Processing Time 0.025 seconds

SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS IN $L^p$ SPACES

  • Ha, Ki-Sik;Shin, Ki-Yeon
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.2
    • /
    • pp.303-315
    • /
    • 1994
  • Let X be a real Banach space with norm ∥ㆍ∥. Let T > 0, r ≥a be fixed constants. We denote by L/sup p/ the usual L/sup p/( -r, 0; X) with norm ∥ㆍ∥/sub p/ for 1 ≤p < ∞. Our object is to study the existence of solutions of nonlinear functional evolution equations of the type (FDE) x'(t) + A(t)x(t) = G(t, x/sub t/), 0 ≤t ≤T, x/sub 0/ = ø.(omitted)

  • PDF

hp-DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA-MCKENDRICK EQUATION: A NUMERICAL STUDY

  • Jeong, Shin-Ja;Kim, Mi-Young;Selenge, Tsendanysh
    • Communications of the Korean Mathematical Society
    • /
    • v.22 no.4
    • /
    • pp.623-640
    • /
    • 2007
  • The Lotka-McKendrick model which describes the evolution of a single population is developed from the well known Malthus model. In this paper, we introduce the Lotka-McKendrick model. We approximate the solution to the model using hp-discontinuous Galerkin finite element method. The numerical results show that the presented hp-discontinuous Galerkin method is very efficient in case that the solution has a sharp decay.

Random key representation based differential evolution for resource constrained project scheduling problem (자원 제약이 있는 프로젝트 스케줄링 문제를 위한 난수 키 표현법 기반 차분진화알고리즘)

  • Lee, sangwook
    • Proceedings of the Korea Contents Association Conference
    • /
    • 2016.05a
    • /
    • pp.63-64
    • /
    • 2016
  • 자원 제약이 있는 프로젝트 스케줄링 문제는 NP-hard인 순서기반 문제이다. 본 논문에서는 연속적인 문제 해결에 적합한 차분진화알고리즘에 난수 키 표현법을 적용하여 순서기반 표현을 가능하게 하여 자원 제약이 있는 프로젝트 스케줄링 문제를 해결하고자 한다. 실험 결과 작은 규모의 자원 제약이 있는 프로젝트 문제에 적용하여 난수 키 표현법 기반 차분진화알고리즘의 가능성을 보았다.

  • PDF

SOME EXPLICIT SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS

  • Kim, Hyunsoo;Lee, Youho
    • Honam Mathematical Journal
    • /
    • v.39 no.1
    • /
    • pp.27-40
    • /
    • 2017
  • In this paper, we construct exact traveling wave solutions of various kind of partial differential equations arising in mathematical science by the system technique. Further, the $Painlev{\acute{e}}$ test is employed to investigate the integrability of the considered equations. In particular, we describe the behaviors of the obtained solutions under certain constraints.

Evolutionary Design of Morphology-Based Homomorphic Filter for Feature Enhancement of Medical Images

  • Hwang, Hee-Soo;Oh, Jin-Sung
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.9 no.3
    • /
    • pp.172-177
    • /
    • 2009
  • In this paper, a new morphology-based homomorphic filtering technique is presented to enhance features in medical images. The homomorphic filtering is performed based on the morphological sub-bands, in which an image is morphologically decomposed. An evolutionary design is carried to find an optimal gain and structuring element of each sub-band. As a search algorithm, Differential Evolution scheme is utilized. Simulations show that the proposed filter improves the contrast of the interest feature in medical images.

Differential Evolution Based Clustering (차분진화에 기초한 클러스터링)

  • Ham, Seo-Hyun;Lee, Hyun-Chang;Shin, Seong-Yoon
    • Proceedings of the Korean Society of Computer Information Conference
    • /
    • 2019.07a
    • /
    • pp.389-390
    • /
    • 2019
  • Tensor decomposition, proven to be an efficient data processing method, can be used to provide data-driven services. we propose a novel datadriven mutation strategy for parent individuals selection, namely tensor-based DE with parapatric and cross-generation(TPCDE).

  • PDF

Differential Evolution with Numerous Strategies (수많은 전략을 가진 차등 진화)

  • Oh, Suk-Kyong;Shin, Seong-Yoon
    • Proceedings of the Korean Society of Computer Information Conference
    • /
    • 2020.01a
    • /
    • pp.243-244
    • /
    • 2020
  • 본 논문에서는 SIM(Soft Island Model)을 통해 소집단 정보를 이동시키기 위한 KSDE라고 하는 수많은 전략을 제안한다. 먼저, 전체 모집단은 k- 평균 군집 알고리즘에 의해 k 개의 하위 모집단으로 분리된다. 둘째, 소집단에 돌연변이 조작을 수행하기 위해 전략 풀에서 돌연변이 전략을 무작위로 선택한다. 마지막으로, 이 알고리즘의 모집단 다양성을 개선하기 위해 하위 집단 정보가 SIM을 통해 마이그레이션 된다.

  • PDF

STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI;ISSA ZABSONRE
    • Journal of Applied and Pure Mathematics
    • /
    • v.5 no.3_4
    • /
    • pp.129-164
    • /
    • 2023
  • The aim of this work is to present some interesting results on weighted ergodic functions and prove the existence and uniqueness of Stepanov-like pseudo almost automorphic solutions using the spectral decomposition of the phase space developed by Adimy and co-authors. We also give the next challenge of this work.

Performance Analysis of Dual-Layer Differential Precoding Technique Using 8-PSK Constellation (8-PSK 성운을 이용하는 이중계층 차분 선부호화 기법의 성능 분석)

  • Park, Noe-Yoon;Kim, Young-Ju
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.38A no.5
    • /
    • pp.401-408
    • /
    • 2013
  • Dual-layer differential codebook using 8-PSK (phase shift keying) constellation as its codeword elements, is proposed for Long term evolution (LTE) and/or LTE-Advanced systems. Due to the temporal correlation of the adjacent channel matrices, the consecutive precoding matrices are likely to be similar. This approach quantize only the differential information of the channel instead of the whole channel subspace, which virtually increase the codebook size to realize more accurate quantization of the channel. Especially, the proposed codebook has the same properties of LTE release-8 codebook that is, constant modulus, complexity reduction, and nested property. The mobile station can be designed by using less expensive non-linear amplifier utilizing constant modulus property. Computer simulations show that the capacity of the proposed dual-layer codebook performs almost 1.2dB better than those of any other non-differential codebooks with the same amount of feedback information.