• Title/Summary/Keyword: Search algorithms

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ACCELERATED STRONGLY CONVERGENT EXTRAGRADIENT ALGORITHMS TO SOLVE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN REAL HILBERT SPACES

  • Nopparat Wairojjana;Nattawut Pholasa;Chainarong Khunpanuk;Nuttapol Pakkaranang
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.307-332
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    • 2024
  • Two inertial extragradient-type algorithms are introduced for solving convex pseudomonotone variational inequalities with fixed point problems, where the associated mapping for the fixed point is a 𝜌-demicontractive mapping. The algorithm employs variable step sizes that are updated at each iteration, based on certain previous iterates. One notable advantage of these algorithms is their ability to operate without prior knowledge of Lipschitz-type constants and without necessitating any line search procedures. The iterative sequence constructed demonstrates strong convergence to the common solution of the variational inequality and fixed point problem under standard assumptions. In-depth numerical applications are conducted to illustrate theoretical findings and to compare the proposed algorithms with existing approaches.

Augmenting Quasi-Tree Search Algorithm for Maximum Homogenous Information Flow with Single Source/Multiple Sinks

  • Fujita, Koichi;Watanabe, Hitoshi
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.462-465
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    • 2002
  • This paper presents a basic theory of information flow from single sending point to multiple receiving points, where new theories of algebraic system called "Hybrid Vector Space" and flow vector space play important roles. Based on the theory, a new algorithm for finding maximum homogenous information flow is proposed, where homogenous information flow means the flow of the same contents of information delivered to multiple clients at a time. Effective multi-routing algorithms fur tree-shape delivery rout search are presented.

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A Study of Search Space Clustering Algorithm for Steered Response Power (Steered Response Power를 위한 검색 공간 클러스터링 연구)

  • Chung, Jae-Youn;Yook, Dong-Suk
    • Proceedings of the KSPS conference
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    • 2006.11a
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    • pp.88-91
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    • 2006
  • Steered response power(SRP) based algorithm uses a focused beamformer which steers the array to various locations and searches for a peak in output power to localize sound sources. SRP-PHAT, a phase transformed SRP, shows high accuracy, but requires a large amount of computation time. This paper proposes an algorithm that clusters search spaces in advance to reduce computation time of SRP based algorithms.

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Performance evaluation of saturation routing algorithms (포화 경로선정 알고리즘의 성능 평가)

  • Park, Young-Chul
    • Proceedings of the KAIS Fall Conference
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    • 2009.05a
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    • pp.520-524
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    • 2009
  • 본 논문에서는 격자형태의 무선 Ad-hoc 통신망에서 사용하는 포화경로 선정 알고리즘의 성능을 분석하였다. 대체경로 라우팅을 함으로써 좀 더 낮은 차단확률을 기대할 수 있어, 포화경로 선정 알고리즘을 사용의 타당성을 확인할 수 있었다. 또한 기존의 Flood search 알고리즘, Restricted flooding, Hybrid routing의 성능을 모의시험을 통하여 분석한 결과 통신망 효율면에서 Flood search 알고리즘이 우수한 것으로 나타났다.

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Classification of Web Search Engines and Necessity of a Hybrid Search Engine (웹 검색엔진 분류 및 하이브리드 검색엔진의 필요성)

  • Paik, Juryon
    • Journal of Digital Contents Society
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    • v.19 no.4
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    • pp.719-729
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    • 2018
  • Abstract In 2017, it has been reported that Google had more than 90% of the market share in search-engines of desktops and mobiles. Most people may consider that Google surely searches the entire web area. However, according to many researches for web data, Google only searches less than 10%, surprisingly. The most region is called the Deep Web, and it is indexable by special search engines, which are different from Google because they focus on a specific segment of interest. Those engines build their own deep-web databases and run particular algorithms to provide accurate and professional search results. There is no search engine that indexes the entire Web, currently. The best way is to use several search engines together for broad and efficient searches as best as possible. This paper defines that kind of search engine as Hybrid Search Engine and provides characteristics and differences compared to conventional search engines, along with a frame of hybrid search engine.

Optimal feature extraction for normally distributed multicall data (가우시안 분포의 다중클래스 데이터에 대한 최적 피춰추출 방법)

  • 최의선;이철희
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.1263-1266
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    • 1998
  • In this paper, we propose an optimal feature extraction method for normally distributed multiclass data. We search the whole feature space to find a set of features that give the smallest classification error for the Gaussian ML classifier. Initially, we start with an arbitrary feature vector. Assuming that the feature vector is used for classification, we compute the classification error. Then we move the feature vector slightly and compute the classification error with this vector. Finally we update the feature vector such that the classification error decreases most rapidly. This procedure is done by taking gradient. Alternatively, the initial vector can be those found by conventional feature extraction algorithms. We propose two search methods, sequential search and global search. Experiment results show that the proposed method compares favorably with the conventional feature extraction methods.

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Dynamic response optmization using approximate search (근사 선탐색을 이용한 동적 반응 최적화)

  • Kim, Min-Soo;Choi, Dong-hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.4
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    • pp.811-825
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    • 1998
  • An approximate line search is presented for dynamic response optimization with Augmented Lagrange Multiplier(ALM) method. This study empolys the approximate a augmented Lagrangian, which can improve the efficiency of the ALM method, while maintaining the global convergence of the ALM method. Although the approximate augmented Lagragian is composed of only the linearized cost and constraint functions, the quality of this approximation should be good since an approximate penalty term is found to have almost second-order accuracy near the optimum. Typical unconstrained optimization algorithms such as quasi-Newton and conjugate gradient methods are directly used to find exact search directions and a golden section method followed by a cubic polynomial approximation is empolyed for approximate line search since the approximate augmented Lagrangian is a nonlinear function of design variable vector. The numberical performance of the proposed approach is investigated by solving three typical dynamic response optimization problems and comparing the results with those in the literature. This comparison shows that the suggested approach is robust and efficient.

An efficient multi-objective cuckoo search algorithm for design optimization

  • Kaveh, A.;Bakhshpoori, T.
    • Advances in Computational Design
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    • v.1 no.1
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    • pp.87-103
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    • 2016
  • This paper adopts and investigates the non-dominated sorting approach for extending the single-objective Cuckoo Search (CS) into a multi-objective framework. The proposed approach uses an archive composed of primary and secondary population to select and keep the non-dominated solutions at each generation instead of pairwise analogy used in the original Multi-objective Cuckoo Search (MOCS). Our simulations show that such a low computational complexity approach can enrich CS to incorporate multi-objective needs instead of considering multiple eggs for cuckoos used in the original MOCS. The proposed MOCS is tested on a set of multi-objective optimization problems and two well-studied engineering design optimization problems. Compared to MOCS and some other available multi-objective algorithms such as NSGA-II, our approach is found to be competitive while benefiting simplicity. Moreover, the proposed approach is simpler and is capable of finding a wide spread of solutions with good coverage and convergence to true Pareto optimal fronts.

A high speed motion vector estimation using 5-directional search algorithm (5-방향 탐색 알고리듬을 이용한 고속 움직임벡터 예측)

  • 이근영
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.3
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    • pp.144-149
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    • 1998
  • This paper presents a fast motion estimation algorithm, 5DS, useful for video coding. We first try block matching to 4 directions(N, E, W, S) to estimate motions in this algorith, since most of motions in video are oriented to those direction, and then try one additional diagonal matching between the matching ponts having small MADs. It makesthis algorithm possible for searching through a diagonal direction which is not adequate to logarithmic (LOG) search algorithm. This proposed algorithm has almost same PSNR but, 1.9, 1.2 times faster than classical block matching methods such as three steps search(TSS) and LOG search algorithms.

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Species Adaptation Evolutionary Algorithm for Solving the Optimization Problems

  • Lee, Dong-Wook;Sim, Kwee-Bo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.233-238
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    • 2003
  • Living creatures maintain their variety through speciation, which helps them to have more fitness for an environment. So evolutionary algorithm based on biological evolution must maintain variety in order to adapt to its environment. In this paper, we utilize the concept of speciation. Each individual of population creates their offsprings using mutation, and next generation consists of them. Each individual explores search space determined by mutation. Useful search space is extended by differentiation, then population explorers whole search space very effectively. If evolvable hardware evolves through mutation, it is useful way to explorer search space because of less varying inner structure. We verify the effectiveness of the proposed method by applying it to two optimization problems.