• 제목/요약/키워드: L1-norm-based regularization

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상호작용 이중-모드 조정방법을 이용한 저항률 영상 복원 (Resistivity Image Reconstruction Using Interacting Dual-Mode Regularization)

  • 강숙인;김경연
    • 전기전자학회논문지
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    • 제20권2호
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    • pp.152-162
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    • 2016
  • 전기 저항률 단층촬영법(ERT)은 표면 전극으로부터 측정된 전압을 사용하여 물체 내부의 임피던스 분포를 영상화하는 기술이다. ERT 역문제는 비정치성(ill-posedness)이 매우 심하여 영상복원의 수렴성을 확보하기 위해 조정방법이 사용된다. 사용된 조정방법에 따라 영상복원 성능이 달라지므로 상황에 따라 보다 강건한 영상 복원 성능을 얻기 위해, 서로 다른 영상복원 특성을 나타내는 L1-norm 조정방법과 Total Variation (TV) 조정방법의 두 개의 모드가 상호작용하는 상호작용 이중-모드 조정방법을 제안하였다. 제안한 이중-모드 조정방법은 실제 상황에 따라 달라지는 모드 확률을 계산하고 이에 근거하여 적합한 모드를 선택하거나 두 개의 모드를 결합한다. 모의실험을 수행하여 제안된 기법의 영상 복원 성능을 평가한 결과 비교적 양호한 성능을 나타내었다.

L0-정규화를 이용한 Signomial 분류 기법 (Signomial Classification Method with 0-regularization)

  • 이경식
    • 산업공학
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    • 제24권2호
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    • pp.151-155
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    • 2011
  • In this study, we propose a signomial classification method with 0-regularization (0-)which seeks a sparse signomial function by solving a mixed-integer program to minimize the weighted sum of the 0-norm of the coefficient vector of the resulting function and the $L_1$-norm of loss caused by the function. $SC_0$ gives an explicit description of the resulting function with a small number of terms in the original input space, which can be used for prediction purposes as well as interpretation purposes. We present a practical implementation of $SC_0$ based on the mixed-integer programming and the column generation procedure previously proposed for the signomial classification method with $SL_1$-regularization. Computational study shows that $SC_0$ gives competitive performance compared to other widely used learning methods for classification.

통합 베이즈 총변이 정규화 방법과 영상복원에 대한 응용 (An Unified Bayesian Total Variation Regularization Method and Application to Image Restoration)

  • 류재흥
    • 한국전자통신학회논문지
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    • 제17권1호
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    • pp.41-48
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    • 2022
  • 본 논문은 통합 베이즈 티코노프 정규화 방법을 총변이 정규화에 대한 해법으로 제시한다. 통합된 방법은 총변이 항을 가중된 티코노프 정규화 항으로 변형하여 정규화 모수를 구하는 공식을 제시한다. 정규화 모수를 구하고 이를 바탕으로 새로운 가중인수를 구하는 것을 복원된 영상이 수렴하기까지 반복한다. 실험결과는 영상 복원 문제에 대하여 제안하는 방법의 효능을 보여준다.

Variational Image Dehazing using a Fuzzy Membership Function

  • Park, Hasil;Park, Jinho;Kim, Heegwang;Paik, Joonki
    • IEIE Transactions on Smart Processing and Computing
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    • 제6권2호
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    • pp.85-92
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    • 2017
  • This paper presents a dehazing method based on a fuzzy membership function and variational method. The proposed algorithm consists of three steps: i) estimate transmission through a pixel-based operation using a fuzzy membership function, ii) refine the transmission using an L1-norm-based regularization method, and iii) obtain the result of haze removal based on a hazy image formation model using the refined transmission. In order to prevent color distortion of the sky region seen in conventional methods, we use a trapezoid-type fuzzy membership function. The proposed method acquires high-quality images without halo artifacts and loss of color contrast.

Regularized Multichannel Blind Deconvolution Using Alternating Minimization

  • James, Soniya;Maik, Vivek;Karibassappa, K.;Paik, Joonki
    • IEIE Transactions on Smart Processing and Computing
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    • 제4권6호
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    • pp.413-421
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    • 2015
  • Regularized Blind Deconvolution is a problem applicable in degraded images in order to bring the original image out of blur. Multichannel blind Deconvolution considered as an optimization problem. Each step in the optimization is considered as variable splitting problem using an algorithm called Alternating Minimization Algorithm. Each Step in the Variable splitting undergoes Augmented Lagrangian method (ALM) / Bregman Iterative method. Regularization is used where an ill posed problem converted into a well posed problem. Two well known regularizers are Tikhonov class and Total Variation (TV) / L2 model. TV can be isotropic and anisotropic, where isotropic for L2 norm and anisotropic for L1 norm. Based on many probabilistic model and Fourier Transforms Image deblurring can be solved. Here in this paper to improve the performance, we have used an adaptive regularization filtering and isotropic TV model Lp norm. Image deblurring is applicable in the areas such as medical image sensing, astrophotography, traffic signal monitoring, remote sensors, case investigation and even images that are taken using a digital camera / mobile cameras.

QoS Constrained Optimization of Cell Association and Resource Allocation for Load Balancing in Downlink Heterogeneous Cellular Networks

  • Su, Gongchao;Chen, Bin;Lin, Xiaohui;Wang, Hui;Li, Lemin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권5호
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    • pp.1569-1586
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    • 2015
  • This paper considers the optimal cell association and resource allocation for load balancing in a heterogeneous cellular network subject to user's quality-of-service (QoS) constraints. We adopt the proportional fairness (PF) utility maximization formulation which also accommodates the QoS constraints in terms of minimum rate requirements. With equal resource allocation this joint optimization problem is either infeasible or requires relaxation that yields a solution which is difficult to implement. Nevertheless, we show that this joint optimization problem can be effectively solved without any priori assumption on resource allocation and yields a cell association scheme which enforces single BS association for each user. We re-formulated the joint optimization problem as a network-wide resource allocation problem with cardinality constraints. A reweighted heuristic l1-norm regularization method is used to obtain a sparse solution to the re-formulated problem. The cell association scheme is then derived from the sparsity pattern of the solution, which guarantees a single BS association for each user. Compared with the previously proposed method based on equal resource allocation, the proposed framework results in a feasible cell association scheme and yields a robust solution on resource allocation that satisfies the QoS constraints. Our simulations illustrate the impact of user's minimum rate requirements on cell association and demonstrate that the proposed approach achieves load balancing and enforces single BS association for users.