计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
21期
218-223
,共6页
压缩感知%高斯噪声%l0范式最小绝对偏差%加权中值%假设检验
壓縮感知%高斯譟聲%l0範式最小絕對偏差%加權中值%假設檢驗
압축감지%고사조성%l0범식최소절대편차%가권중치%가설검험
compressing sensing%Gaussian noise%l0- regularized least absolute deviation%weighted median%hypothesis testing
对高斯噪声下的高斯随机观测矩阵压缩感知问题建立了新的统计模型，并在该统计模型的基础上，引入相应的统计检验方法对l 0范式约束下的硬阈值加权中值回归重建算法进行分析。提出了基于卡方检验的l1范式支持检测计算顺序排序方法来改进该算法的坐标下降的计算顺序；针对该算法需要通过人工设定最大迭代次数和残差能量下界来控制迭代次数的问题，提出了基于F检验的自适应停止准则，并在仿真实验中证明了改进后算法的有效性。
對高斯譟聲下的高斯隨機觀測矩陣壓縮感知問題建立瞭新的統計模型，併在該統計模型的基礎上，引入相應的統計檢驗方法對l 0範式約束下的硬閾值加權中值迴歸重建算法進行分析。提齣瞭基于卡方檢驗的l1範式支持檢測計算順序排序方法來改進該算法的坐標下降的計算順序；針對該算法需要通過人工設定最大迭代次數和殘差能量下界來控製迭代次數的問題，提齣瞭基于F檢驗的自適應停止準則，併在倣真實驗中證明瞭改進後算法的有效性。
대고사조성하적고사수궤관측구진압축감지문제건립료신적통계모형，병재해통계모형적기출상，인입상응적통계검험방법대l 0범식약속하적경역치가권중치회귀중건산법진행분석。제출료기우잡방검험적l1범식지지검측계산순서배서방법래개진해산법적좌표하강적계산순서；침대해산법수요통과인공설정최대질대차수화잔차능량하계래공제질대차수적문제，제출료기우F검험적자괄응정지준칙，병재방진실험중증명료개진후산법적유효성。
In this paper, a novel statistical model is proposed to describe the Gaussian noisy compressed sensing problem with Gaussian random measurement matrix, and under the statistical framework, some hypothesis tests are used to analyse the performance of the weighted median regression estimate compressive sensing signal reconstruction with an iterative hard threshold under the l0- regularized constraint. The χ2 test based computation sequence is proposed to improve the performance of its coordination descent computation sequence, and F test based data adaptive stopping criterion is presented to take the place of its manual stopping conditions of the maximal number of iterations and the lower bound of the residual energy. Practical performance of the proposal is evaluated via numerical experiments.
