• Title/Summary/Keyword: Inverse operations

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Bilinear Inverse Model Predictive Control for Grade Change Operations Based on Artificial Neural Network (인공 신경회로망을 이용한 지종교체 공정의 Bilinear 역모델 예측제어)

  • Choo, Yeon-Uk;Kim, Joon-Yeol;Yeo, Yeong-Koo;Kang, Hong
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.37 no.1 s.109
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    • pp.67-72
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    • 2005
  • In the grade change operations inputs and outputs are highly correlated and application of conventional linear feedback control methods such as PID schemes might lead to poor control performance. In this study the neural networks model for the grade change operation is trained by using bilinear terms which can represent non-linear characteristics of grade change operations. The inverse model of the grade change operation is obtained from training and the optimal input variables are computed from the trained neural networks as well. The proposed bilinear inverse model predictive control scheme was found out to showlittle discrepancy between simulated outputs and setpoints.

Inverse Bin-Packing Number Problems: Polynomially Solvable Cases

  • Chung, Yerim
    • Management Science and Financial Engineering
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    • v.19 no.1
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    • pp.25-28
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    • 2013
  • Consider the inverse bin-packing number problem. Given a set of items and a prescribed number K of bins, the inverse bin-packing number problem, IBPN for short, is concerned with determining the minimum perturbation to the item-size vector so that all the items can be packed into K bins or less. It is known that this problem is NP-hard (Chung, 2012). In this paper, we investigate some special cases of IBPN that can be solved in polynomial time. We propose an optimal algorithm for solving the IBPN instances with two distinct item sizes and the instances with large items.

The Challenge of Managing Customer Networks under Change : Proving the Complexity of the Inverse Dominating Set Problem (소비자 네트워크의 변화 관리 문제 : 최소지배집합 역 문제의 계산 복잡성 증명)

  • Chung, Yerim;Park, Sunju;Chung, Seungwha
    • Journal of the Korean Operations Research and Management Science Society
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    • v.39 no.2
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    • pp.131-140
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    • 2014
  • Customer networks go through constant changes. They may expand or shrink once they are formed. In dynamic environments, it is a critical corporate challenge to identify and manage influential customer groups in a cost effective way. In this context, we apply inverse optimization theory to suggest an efficient method to manage customer networks. In this paper, we assume that there exists a subset of nodes that might have a large effect on the network and that the network can be modified via some strategic actions. Rather than making efforts to find influential nodes whenever the network changes, we focus on a subset of selective nodes and perturb as little as possible the interaction between nodes in order to make the selected nodes influential in the given network. We define the following problem based on the inverse optimization. Given a graph and a prescribed node subset, the objective is to modify the structure of the given graph so that the fixed subset of nodes becomes a minimum dominating set in the modified graph and the cost for modification is minimum under a fixed norm. We call this problem the inverse dominating set problem and investigate its computational complexity.

A Novel Reconfigurable Processor Using Dynamically Partitioned SIMD for Multimedia Applications

  • Lyuh, Chun-Gi;Suk, Jung-Hee;Chun, Ik-Jae;Roh, Tae-Moon
    • ETRI Journal
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    • v.31 no.6
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    • pp.709-716
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    • 2009
  • In this paper, we propose a novel reconfigurable processor using dynamically partitioned single-instruction multiple-data (DP-SIMD) which is able to process multimedia data. The SIMD processor and parallel SIMD (P-SIMD) processor, which is composed of a number of SIMD processors, are usually used these days. But these processors are inefficient because all processing units (PUs) should process the same operations all the time. Moreover, the PUs can process different operations only when every SIMD group operation is predefined. We propose a processor control method which can partition parallel processors into multiple SIMD-based processors dynamically to enhance efficiency. For performance evaluation of the proposed method, we carried out the inverse transform, inverse quantization, and motion compensation operations of H.264 using processors based on SIMD, P-SIMD, and DP-SIMD. Experimental results show that the DP-SIMD control method is more efficient than SIMD and P-SIMD control methods by about 15% and 14%, respectively.

A Distortion Estimation Method Using Integer Operations in H.264/AVC Encoder (H.264/AVC 부호화기에서 정수 연산을 사용한 왜곡치 예측 방식)

  • Moon, Jeong-Mee;Kim, Jae-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.1C
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    • pp.63-71
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    • 2009
  • In this paper, a new low-complexity distortion estimation method for H.264 rate-distortion optimized mode decision is proposed. The coding processes, such as DCT, quantization, inverse quantization, inverse DCT, and reconstruction are needed to compute the distortion in an H.264 encoder. To reduce these processes, we estimate distortion using integer operations with coefficients obtained in the quantization process. Inverse quantization, inverse DCT, and reconstruction processes are not needed by the proposed method. For quantization parameters 24 to 36, experimental results show that the time saving of rate-distortion optimized mode decision is on average 29 % and as high as 42 % with negligible degradation in coding performance.

Note on the Inverse Metric Traveling Salesman Problem Against the Minimum Spanning Tree Algorithm

  • Chung, Yerim
    • Management Science and Financial Engineering
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    • v.20 no.1
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    • pp.17-19
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    • 2014
  • In this paper, we consider an interesting variant of the inverse minimum traveling salesman problem. Given an instance (G, w) of the minimum traveling salesman problem defined on a metric space, we fix a specified Hamiltonian cycle $HC_0$. The task is then to adjust the edge cost vector w to w' so that the new cost vector w' satisfies the triangle inequality condition and $HC_0$ can be returned by the minimum spanning tree algorithm in the TSP-instance defined with w'. The objective is to minimize the total deviation between the original and the new cost vectors with respect to the $L_1$-norm. We call this problem the inverse metric traveling salesman problem against the minimum spanning tree algorithm and show that it is closely related to the inverse metric spanning tree problem.

Inverse Kinematics Analysis of 7-DOF Anthropomorphic Robot Arm using Conformal Geometric Algebra (등각 기하대수를 이용한 7자유도 로봇 팔의 역기구학 해석)

  • Kim, Je-Seok;Ji, Yong-Kwan;Park, Jahng-Hyon
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.10
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    • pp.1119-1127
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    • 2012
  • In this paper, we present an inverse kinematics of a 7-dof Anthropomorphic robot arm using conformal geometric algebra. The inverse kinematics of a 7-dof Anthropomorphic robot arm using CGA can be computed in an easy way. The geometrically intuitive operations of CGA make it easy to compute the joint angles of a 7-dof Anthropomorphic robot arm which need to be set in order for the robot to reach its goal or the positions of a redundant robot arm's end-effector. In order to choose the best solution of the elbow position at an inverse kinematics, optimization techniques have been proposed to minimize an objective function while satisfying the euler-lagrange equation.

Low-latency Montgomery AB2 Multiplier Using Redundant Representation Over GF(2m)) (GF(2m) 상의 여분 표현을 이용한 낮은 지연시간의 몽고메리 AB2 곱셈기)

  • Kim, Tai Wan;Kim, Kee-Won
    • IEMEK Journal of Embedded Systems and Applications
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    • v.12 no.1
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    • pp.11-18
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    • 2017
  • Finite field arithmetic has been extensively used in error correcting codes and cryptography. Low-complexity and high-speed designs for finite field arithmetic are needed to meet the demands of wider bandwidth, better security and higher portability for personal communication device. In particular, cryptosystems in GF($2^m$) usually require computing exponentiation, division, and multiplicative inverse, which are very costly operations. These operations can be performed by computing modular AB multiplications or modular $AB^2$ multiplications. To compute these time-consuming operations, using $AB^2$ multiplications is more efficient than AB multiplications. Thus, there are needs for an efficient $AB^2$ multiplier architecture. In this paper, we propose a low latency Montgomery $AB^2$ multiplier using redundant representation over GF($2^m$). The proposed $AB^2$ multiplier has less space and time complexities compared to related multipliers. As compared to the corresponding existing structures, the proposed $AB^2$ multiplier saves at least 18% area, 50% time, and 59% area-time (AT) complexity. Accordingly, it is well suited for VLSI implementation and can be easily applied as a basic component for computing complex operations over finite field, such as exponentiation, division, and multiplicative inverse.

The Efficient 32×32 Inverse Transform Design for High Performance HEVC Decoder (고성능 HEVC 복호기를 위한 효율적인 32×32 역변환기 설계)

  • Han, Geumhee;Ryoo, Kwangki
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.4
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    • pp.953-958
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    • 2013
  • In this paper, an efficient hardware architecture is proposed for $32{\times}32$ inverse transform HEVC decoder. HEVC is a new image compression standard to deal with much larger image sizes compared with conventional image codecs, such as 4k, 8k images. To process huge image data effectively, it adopts various new block structures. Theses blocks consists of $4{\times}4$, $8{\times}8$, $16{\times}16$, and $32{\times}32$ block. This paper suggests an effective structures to process $32{\times}32$ inverse transform. This structure of inverse transform adopts the decomposed $16{\times}16$ matrixes of $32{\times}32$ matrix, and simplified the operations by implementing multiplying with shifters and adders. Additionally the operations frequency is downed by using multicycle paths. Also this structure can be easily adopted to a multi-size transform or a forward transform block in HEVC codec.

Three Dimensional Modeling and Inverse Dynamic Analysis of An Excavator (굴삭기의 3차원 모델링 및 역동역학 해석)

  • 김외조;유완석;이만형;윤경화
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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    • pp.2043-2050
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    • 1993
  • This paper presents a three dimensional modeling and dynamic analysis of a hydraulic excavator. An excavator composed of a boom, a bucket, two boom cylinders, an arm cylinder, and a bucket cylinder is used for the analysis. Each cylinder is modeled to two separate bodies linked by a translational joint. Judging from the actual degrees of freedom of the excavator, proper kinematic joints are selected to exclude redundant constraints in the modeling. In order to find the reaction forces at kinematic joints during operations, inverse dynamic analysis is carried out. Dynamic analysis is also carried out to verify the results from inverse dynamic analysis. The DADS program is used for analysis, with proper modification of the DADS user routine according to various motions.