• 제목/요약/키워드: Minimization Problem

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영상 추적의 Occlusion 문제 해결을 위한 L1 Minimization의 Weighted Parameter 분석 (Weighted Parameter Analysis of L1 Minimization for Occlusion Problem in Visual Tracking)

  • 수료 아드히 위보워;장은석;이한수;김성신
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2016년도 춘계학술대회
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    • pp.101-103
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    • 2016
  • 최근 들어, 영상 추적(Visual Tracking)에서의 목표물을 sparse coefficient vector로 나타낼 수 있게 되면서, L1 minimization 방법을 이용한 영상처리 속도 향상이 필요하게 되었다. 더 나아가서, L1 minimization 방법은 영상 추적 과정에서 주로 발생하는 occlusion 문제를 해결하는 방법으로 많이 사용되고 있다. 다라서 본 논문에서는 영상 추적 과정에서 발생하는 occlusion 문제의 해결을 위해서 L1 minimization의 parameter를 분석하였다. L1 minimization에는 최소화 결과에 영향을 미치는 weighted parameter가 존재하며, 이들은 고정 상수나 목표물의 중간값, 평균값, 표준편차로 나타내어 진다. 실험 결과를 바탕으로 분석하였을 때, weighted parameter 중에서 평균값이 OPE(One Pass Evaluation)을 기반으로 한 success rate와 precision performance에서 좋은 결과를 갖는 것을 확인할 수 있었다.

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A NEW ALGORITHM OF THE STATE-MINIMIZATION FOR THE NONDETERMINISTIC FINITE AUTOMATA

  • Melnikov, B.F.
    • Journal of applied mathematics & informatics
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    • 제6권2호
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    • pp.379-392
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    • 1999
  • The problem of the state-minimization for the nonde-terministic finite Rabin-Scott's automata is considered. A new algo-rithm for this problem is obtained. The obtained algorithm has the exponential effectiveness like the earlier-known algorithms for this problem. But each of previous algo-rithms amounts to the search of minimum generative system for local reaction of equal automaton of canonical form and unlike them we use in this paper two special function marking states of the given automaton.

An Iterative Method for Equilibrium and Constrained Convex Minimization Problems

  • Yazdi, Maryam;Shabani, Mohammad Mehdi;Sababe, Saeed Hashemi
    • Kyungpook Mathematical Journal
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    • 제62권1호
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    • pp.89-106
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    • 2022
  • We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We propose an iterative fixed point algorithm and prove that the algorithm generates a sequence strongly convergent to a common solution. The common solution is identified as the unique solution of a certain variational inequality.

0-1 배낭 제약식을 갖는 오목 함수 최소화 문제의 해법 (An Algorithm for the Concave Minimization Problem under 0-1 Knapsack Constraint)

  • 오세호;정성진
    • 대한산업공학회지
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    • 제19권2호
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    • pp.3-13
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    • 1993
  • In this study, we develop a B & B type algorithm for the concave minimization problem with 0-1 knapsack constraint. Our algorithm reformulates the original problem into the singly linearly constrained concave minimization problem by relaxing 0-1 integer constraint in order to get a lower bound. But this relaxed problem is the concave minimization problem known as NP-hard. Thus the linear function that underestimates the concave objective function over the given domain set is introduced. The introduction of this function bears the following important meanings. Firstly, we can efficiently calculate the lower bound of the optimal object value using the conventional convex optimization methods. Secondly, the above linear function like the concave objective function generates the vertices of the relaxed solution set of the subproblem, which is used to update the upper bound. The fact that the linear underestimating function is uniquely determined over a given simplex enables us to fix underestimating function by considering the simplex containing the relaxed solution set. The initial containing simplex that is the intersection of the linear constraint and the nonnegative orthant is sequentially partitioned into the subsimplices which are related to subproblems.

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LMI기법을 이용한 준최적 강인 칼만 필터의 설계 (Design of suboptimal robust kalman filter using LMI approach)

  • 진승희;윤태성;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1477-1480
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    • 1997
  • This paper is concerned with the design of a suboptimal robust Kalman filter using LMI approach for system models in the state space, which are subjected to parameter uncertainties in both the state and measurement atrices. Under the assumption that augmented system composed of the uncertain system and the state estimation error dynamics should be stable, a Lyapunov inequality is obtained. And from this inequaltiy, the filter design problem can be transformed to the gneric LMI problems i.e., linear objective minimization problem and generalized eigenvalue minimization problem. When applied to uncertain linear system modles, the proposed filter can provide the minimum upper bound of the estimation error variance for all admissible parameter uncertainties.

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배전손실 최소화 문제에 있어서 유전알고리즘의 수속특성에 관한 연구 (An Application of Generic Algorithms to the Distribution System Loss Minimization Re -cofiguration Problem)

  • 최대섭;정수용
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 A
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    • pp.580-582
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    • 2005
  • This paper presents a new method which applies a genetic algorithm(GA) for determining which sectionalizing switch to operate in order to solve the distribution system loss minimization re-configuration problem. The distribution system loss minimization re-configuration problem is in essence a 0-1 planning problem which means that for typical system scales the number of combinations requiring searches becomes extremely large. In order to deal with this problem, a new a roach which applies a GA was presented. Briefly, GA are a type of random number search method, however, they incorporate a multi-point search feature. Further, every point is not is not separately and respectively renewed, therefore, if parallel processing is applied, we can expect a fast solution algorithm to result.

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종합평면을 사용한 면적 최적화에 관한 연구 (A Study on the area minimization using general floorplan)

  • 이용희;정상범이천희
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.1021-1024
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    • 1998
  • Computer-aided design of VLSI circuits is usually carried out in three synthesis steps; high-level synthesis, logic synthesis and layout synthesis. Each synthesis step is further kroken into a few optimization problems. In this paper we study the area minimization problem in floorplanning(also known as the floorplan sizing problem). We propose the area minimization algorithms for general floorplans.

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EDGE-MINIMIZATION OF NON-DETERMINISTIC FINITE AUTOMATA

  • Melnikov, B.F.;Melnikova, A.A.
    • Journal of applied mathematics & informatics
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    • 제8권3호
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    • pp.693-703
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    • 2001
  • In this paper we consider non-deterministic finite Rabin-Scott’s automata. We use a special structure to descibe all the possible edges of non-determinstic finite automaton defining the given regular language. Such structure can be used for solving various problems of finite automata theory. One of these problems is edge-minimization of non-deterministic automata. As we have not touched this problem before, we obtain here two versions of the algorithm for solving this problem to continue previous series of articles.

A MEMORY EFFICIENT INCREMENTAL GRADIENT METHOD FOR REGULARIZED MINIMIZATION

  • Yun, Sangwoon
    • 대한수학회보
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    • 제53권2호
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    • pp.589-600
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    • 2016
  • In this paper, we propose a new incremental gradient method for solving a regularized minimization problem whose objective is the sum of m smooth functions and a (possibly nonsmooth) convex function. This method uses an adaptive stepsize. Recently proposed incremental gradient methods for a regularized minimization problem need O(mn) storage, where n is the number of variables. This is the drawback of them. But, the proposed new incremental gradient method requires only O(n) storage.

The solution of single-variable minimization using neural network

  • 손준혁;서보혁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2528-2530
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    • 2004
  • Neural network minimization problems are often conditioned and in this contribution way to handle this will be discussed. It is shown that a better conditioned minimization problem can be obtained if the problem is separated with respect to the linear parameters. This will increase the convergence speed of the minimization. One of the most powerful uses of neural networks is in function approximation(curve fitting)[1]. A main characteristic of this solution is that function (f) to be approximated is given not explicitly but implicitly through a set of input-output pairs, named as training set, that can be easily obtained from calibration data of the measurement system. In this context, the usage of Neural Network(NN) techniques for modeling the systems behavior can provide lower interpolation errors when compared with classical methods like polynomial interpolation. This paper solve of single-variable minimization using neural network.

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