• 제목/요약/키워드: Convex Function

검색결과 446건 처리시간 0.026초

B-스플라인 노트백터 값 변화에 의한 곡선 형상 변화 예측 (The forecast of curve shape reforming by variation of B-spline knot vector values)

  • 김희중;정재현
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.866-871
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    • 1994
  • B-spline curves and surfaces are effective solutions for design and modelling of the freeform models. The control methods of these are using with control points, knot vectors and weight of NURBS. Using control point is easy and resonable for representation of general models. But the movement of control points bring out the reformation of original convex hull. The B-splines with nonuniform knot vector provide good result of the shape modification without convex hull reforming. B-splines are constructed with control points and basis functions. Nonuniform knot vectors effect on the basis functions. And the blending curves describe the prorities of knot vectors. Applying of these, users will forecast of the reformed curves after modifying controllabler primitives.

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An Additive Sparse Penalty for Variable Selection in High-Dimensional Linear Regression Model

  • Lee, Sangin
    • Communications for Statistical Applications and Methods
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    • 제22권2호
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    • pp.147-157
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    • 2015
  • We consider a sparse high-dimensional linear regression model. Penalized methods using LASSO or non-convex penalties have been widely used for variable selection and estimation in high-dimensional regression models. In penalized regression, the selection and prediction performances depend on which penalty function is used. For example, it is known that LASSO has a good prediction performance but tends to select more variables than necessary. In this paper, we propose an additive sparse penalty for variable selection using a combination of LASSO and minimax concave penalties (MCP). The proposed penalty is designed for good properties of both LASSO and MCP.We develop an efficient algorithm to compute the proposed estimator by combining a concave convex procedure and coordinate descent algorithm. Numerical studies show that the proposed method has better selection and prediction performances compared to other penalized methods.

간섭채널에서 에너지 효율적인 전송률 스케줄링을 위한 게임이론적 접근 (Game Theoretic Approach for Energy Efficient Rate Scheduling on the interference channel)

  • 오창윤
    • 한국컴퓨터정보학회논문지
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    • 제19권8호
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    • pp.55-62
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    • 2014
  • 게임이론을 적용하여 에너지 효율적인 전송률 스케줄링 방안을 제안한다. 먼저, 개별 단말의 효용함수를 정의하고, 효용함수를 최적화하도록 에너지를 결정하는 비협력적 전송률 게임을 모델링한다. 여기서, 효용함수는 개별 단말이 데이터 전송시 소모하는 전송 에너지이다. 특히, 개별 단말의 효용함수가 Convex 함수임을 이용하여 에너지 효율적인 전송률 스케줄링 문제가 나쉬 평형이 존재함을 증명하고, 이를 기반으로 비협력적 스케줄링 알고리즘을 제안한다. 또한, 에너지 효율의 개선을 위해서 개별 단말의 효용함수의 합을 최적화하는 협력적 스케줄링 알고리즘도 제안한다. 성능 분석을 위하여 비협력적 알고리즘과 협력적 알고리즘의 수렴도 결과와 에너지 효율성 결과를 제시한다.

레이저를 이용한 Bin-Picking 방법 (Bin-Picking Method Using Laser)

  • 주기세;한민홍
    • 한국정밀공학회지
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    • 제12권9호
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    • pp.156-166
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    • 1995
  • This paper presents a bin picking method using a slit beam laser in which a robot recognizes all of the unoccluded objects from the top of jumbled objects, and picks them up one by one. Once those unoccluded objects are removed, newly developed unoccluded objects underneath are recognized and the same process is continued until the bin gets empty. To recognize unoccluded objects, a new algotithm to link edges on slices which are generated by the orthogonally mounted laser on the xy table is proposed. The edges on slices are partitioned and classified using convex and concave function with a distance parameter. The edge types on the neighborhood slices are compared, then the hamming distances among identical kinds of edges are extracted as the features of fuzzy membership function. The sugeno fuzzy integration about features is used to determine linked edges. Finally, the pick-up sequence based on MaxMin theory is determined to cause minimal disturbance to the pile. This proposed method may provide a solution to the automation of part handling in manufacturing environments such as in punch press operation or part assembly.

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비볼록 발전비용함수 경제급전문제의 개선된 밸브지점 최적화 알고리즘 (Improved Valve-Point Optimization Algorithm for Economic Load Dispatch Problem with Non-convex Fuel Cost Function)

  • 이상운
    • 한국인터넷방송통신학회논문지
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    • 제15권6호
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    • pp.257-266
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    • 2015
  • 비 볼록 발전비용함수에 대한 최적화 문제는 다항시간으로 해를 구하는 알고리즘이 알려져 있지 않아 전기분야에서는 부득이 2차 함수만을 사용하고 있다. 본 논문은 비 볼록 발전비용함수의 경제급전 최적화 문제에 대한 밸브지점 최적화 알고리즘을 제안하였다. 제안된 알고리즘은 초기 치로 최대 발전량 $P_i{\leftarrow}P_i^{max}$로 설정하고, 평균 발전단가가 $_{max}\bar{c}_i$인 발전기 i의 발전량을 밸브지점 $P_{ik}$로 감소시키는 방법을 적용하였다. 제안된 알고리즘을 13과 40-발전기 데이터에 적용한 결과 기존의 휴리스틱 알고리즘보다 좋은 성능을 보였다. 따라서 비 볼록 발전비용함수의 경제급전문제 최적 해는 각 발전기의 밸브지점 발전량으로 수렴함을 보였다.

강체벽과 충돌하는 한단이 고정된 외팔보의 진동 (Dynamic Contact of a Cantilever Beam with Rigid Wall Condition)

  • 박남규;장영기;김재익;김규태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.436-439
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    • 2005
  • Dynamic contact of a cantilever beam with Sap at the end is discussed. The gap in a structure induces dynamic contact, and the contact problem is always accompanied by inequality constraints which mean that the solution of the structure with contact condition should satisfy variational inequality. Inequality, but, can be reduced to equality condition considering convex penalty function. In this paper, formulation of a beam with contact is derived using quasi convex penalty function. General coordinate solution which is needed to increase computational efficiency is applied. Nonlinear behavior of a beam with rigid and elastic contact condition was discussed.

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콘벡스 비용함수를 갖는 점-대-다중점 최소비용 흐름문제 (Point-to-Multipoint Minimum Cost Flow Problem with Convex Cost Function)

  • 박구현;신용식
    • 한국경영과학회지
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    • 제25권4호
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    • pp.15-25
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    • 2000
  • In this paper, we introduce a point-to-multipoint minimum cost flow problem with convex and demand splitting. A source node transmits the traffic along the tree that includes members of the point-to-multipoint connection. The traffic is replicated by the nodes only at branch points of the tree. In order to minimize the sum of arc costs, we assume that the traffic demand can be splitted and transmitted to destination nodes along different trees. If arc cost is linear, the problem would be a Steiner tree problem in networks eve though demand splitting is permitted. The problem would be applied in transmitting large volume of traffic from a serve to clients in Internet environments. Optimality conditions of the problem are presented in terms of fair tree routing. The proposed algorithm is a finite terminating algorithm for $\varepsilon$-optimal solution. convergence of the algorithm is obtained under monotonic condition and strict convexity of the cost function. Computational experiences are included.

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Quasiconcave Bilevel Programming Problem

  • Arora S.R.;Gaur Anuradha
    • Management Science and Financial Engineering
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    • 제12권1호
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    • pp.113-125
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    • 2006
  • Bilevel programming problem is a two-stage optimization problem where the constraint region of the first level problem is implicitly determined by another optimization problem. In this paper we consider the bilevel quadratic/linear fractional programming problem in which the objective function of the first level is quasiconcave, the objective function of the second level is linear fractional and the feasible region is a convex polyhedron. Considering the relationship between feasible solutions to the problem and bases of the coefficient submatrix associated to variables of the second level, an enumerative algorithm is proposed which finds a global optimum to the problem.

서비스 고정비용을 고려한 복수제품 선별검사와 서비스시스템 설계 (Design of Rectifying Inspection Plans and Service Capacities for Multi-Products with the Fixed Costs for Products Servicing)

  • 김성철
    • 경영과학
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    • 제33권3호
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    • pp.89-103
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    • 2016
  • In this paper, we design sampling inspections and service capacities simultaneously for multi-products. Products are supplied in batches after rectifying inspections, that is, rejected lot is subject to total inspection and defective products are reworked to good ones. When supplied, all defective products are uncovered and returned to service. Particularly, we extend Kim [1] by introducing the fixed costs of providing services and show that the cost function of a product is no longer linear or convex in terms of the level of service provision. We develop a framework for a product to deal with this joint design problem and a dynamic programming algorithm for multi-products which allocates the given number of the total service capacities among products with the considerably smaller computations than the total number of possible allocations.

구간 시스템의 최대평가함수 해석 (An analysis of the worst performance index in the interval system)

  • 김우성;김석우;김영철
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.984-987
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    • 1996
  • We consider a feedback control system including interval plant where uncertain parameters expressed in the hyperrectangular box X. Here we define the maximum value of the integral of the error(ISE) as the worst performance index(WPI) due to the plant parameter uncertainty. Suppose that the closed loop system retains robust stability and it belongs to type I. Then we show that the WPI occurs only on the exposed edges of Q. In particular, it is also shown that if ISE is a convex function relative to X, the WPI is attained at one of vertices of X. Some examples are given.

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