函數正則化 的英文怎麼說
中文拼音 [hánshǔzhēngzéhuà]
函數正則化
英文
zeta function regularization- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 正 : 正名詞(正月) the first month of the lunar year; the first moon
- 則 : Ⅰ名詞1 (規范) standard; norm; criterion 2 (規則) regulation; rule; law 3 (姓氏) a surname Ⅱ...
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
- 正則 : holomorphic
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The axiomatic characterization of the regular choice functions
正則選擇函數的公理化特徵31 press w h, teukolsky s a, vetterling w t, flannery b p. numericalrecipes in c : the art of scientific computing. cambridge universitypress, second edition, 1992. 32 dana k j, van ginneken b, nayar s k, koenderink j j. reflectanceand texture of real world surfaces
實驗包括訓練和測試兩個階段,在訓練階段,我們計算了所有類的zernike矩不變因子,計算完相關函數的集合之後,我們計算了10階以內的仿射正則化zernike不變因子,構建了zernike矩不變因子矩陣,用來計算距離函數d 。First, we identify the homonymous points using normalized product correlation to revise the geometry distortion. in this method, the linear combination of correlation ' s three features is considered to improve the matching probability of homonymous points
本文首先選取同名點以校正幾何形變,採用歸一化積相關函數為選取準則,並以相關曲面的三個特徵量的線性組合來評價選取的同名點,提高匹配率。This paper emploied gp ( genetic program ) to identify and built the model of right - side function of parabolic equations and adopt regularization method to solute its intrinsic ill - posed problem
摘要用遺傳程序設計反演二維拋物型方程右端函數模型並在求解右端函數的適應值評價中我們採用正則化來解決反演中的不適定問題。Then, a new regularized conjugate - gradient reconstruction algorithm was proposed for optical tomograpy, in which the ill - posedness of the reconstruction problem and as a result the quality of the reconstructed image are improved by introducing two regularization terms of image entropy and the local smoothing function
其次,提出了一種正則化共軛梯度ot圖像重建演算法,通過引入圖像熵和局部平滑函數作為正則化項有效改善了重建問題中的病態特性,提高重建圖像的質量。最後,提出一種多解析度的ot圖像重建演算法。| | of sb and that there exists a positive nondecreasing function ( a ), a > 0, such that with some k, r, b > 0. then assuming also that ( ) is a regularly varying function at zero, or at infinity, with a positive exponent, [ l ] has proved large deviation results for increments like sup sup | | ( t + s ) - ( t ) | |, which then used to establish module of continuity and large increment estimates for ( )
假設存在正的非降的函數( a ) , a 0 ,使得對某個k , , 0 ,有成立,還假設( ? )是帶有一個正指數,在零點正則變化的函數,文[ 1 ]中給出並證明了形如的增量的有關結論,並由此建立了( ? )的大增量及連續模的極限定理。Expanding the system ' s hamiltonian to a real symmetric matrix in an appropriate orthogonal basis vector and then diagonalizing it, we get the energy spectrum of the system and calculate the energy level spacing distribution function and the spectral rigidity. then we study the statistical character of the energy spectrum under the changing of magnetic field intension and find that the system ' s motion transfers from regular to chaos gradually
將系統的哈密頓量在一個適當的正交基矢下展開並對角化,得到系統的能譜,分別計算系統能譜的能級間距分佈函數和譜剛度,研究了該系統量子能譜的統計特徵隨磁感應強度大小的改變而表現出的系統運動由規則到混沌的漸進變化。From mathematical models for inverse scattering in two dimensional inho - mogenous media including variable impedance, all kinds of probable mixed variable impedance boundaries and cracks, from interior and exterior trans - mission problems and radiation condition, ill - posed integral equation and indicator function method are formulated for the diverse of boundary iden - tification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given. 3
在二維非均勻介質逆散射邊界識別的數學模型(包括一般的非均勻介質,正交各向異性介質,變阻抗介質,各種可能的混合變阻抗邊界問題)下,由內透射問題和外透射問題以及輻射條件,推導了上述介質的邊界識別的積分方程和指示函數方法,由於積分方程的核充分表徵了散射物的邊界,由此說明只要利用正則化方法求解該積分方程,就可以確定散射物的邊界。From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet, neumann, robin, all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solv - ing it by virtual of regularity method, meanwhile, some numerical tests are given. 2
在二維均勻介質逆散射各種邊界識別的數學模型(包括dirichlet , neumann , robin ,各種可能的混合邊界問題,裂紋問題)下,分別考慮了正散射問題和逆散射問題,推導了上述各種邊界識別的不適定積分方程以及指示函數方法,由於積分方程的核充分表徵了散射物的邊界,由此說明只要利用正則化方法求解該積分方程,就可以確定散射物的邊界,並給出了一些數值實驗。In regard to research method, this paper adopted properties combining the qualitative and quantitative supply chain, and evaluated supply chain informationization. membership function, regular trapezium fuzzy mathematics, integral fuzzy mathematics and triangle fuzzy ahp were used to build up in index system. this paper innovated in the following points
在研究方法上,本文基於定性和定量相結合的原則,運用模糊數學的隸屬函數、正梯形模糊數、積分解模糊法等來對評價體系中的指標進行評價並量化,並綜合運用模糊數學的方法對供應鏈的信息設備利用率進行評價計算,最後運用基於三角模糊數的模糊ahp方法,來對供應鏈的信息化水平進行綜合評價。Sum - of - gradient - magnitude measure is chosen to adapt all images with different enlargement according to analysis of focusing measures ’ character. for 3d bond targets, it is explained that why focusing window should be placed accurately. efficiency of the whole system is ensured by analyzing shift of focal plane when enlargement ratio is changing
為了保證快速採集到鍵合器件的清晰圖像,通過對調焦評價函數特徵的分析,選擇能夠適應各個放大倍數顯微圖像的梯度作為系統的自動調焦評價函數;針對三維器件說明了調焦窗口正確放置的原則和必要性;分析了變倍過程中聚焦平面位置的變化規律,提高了自動調焦的效率。The water quality respond relation of input - output measurements are established by systematic theory in this paper. according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed. the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved. the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated. cubic spline interpolation function, the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter. the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling
本文應用系統理論,建立了水質多參數輸入輸出之間的響應關系;根據河流水文水質變化特點和參數反問題的需求,建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論,作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論;還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性,將三次樣條插值函數、超定方程最小二乘法和正則化演算法有機地結合使用,成功地給出了水質參數反問題的穩定化演算法.最後給出了應用計算結果Perfection and adjustment according to system properties, it combines genetic algorithms with fuzzy control, detailed analyzes the problem of designing fuzzy controller and proposes two advanced schemes : first scheme : the change - of - variables are emerged into input variables of the simple fuzzy controllers of oil feeding pump system as one variable, and one pi block is connected after output of fuzzy controllers, consequently the structure of the improved fuzzy controller is analyzed, finally genetic algorithms with adaptive probabilities of crossover and mutation is applied to optimize membership functions and fusing factors of the fuzzy controllers, and the simulation results of before and after optimization are compared
由於在模糊控制器的設計過程中存在較多的人為因素,為了實現根據系統特性對模糊規則和隸屬函數進行自動修正、完善和調整,本文將遺傳演算法和模糊控制結合起來,並針對前面設計的模糊控制器中所存在的問題進行了詳細分析,提出了兩種改進方案: 1在簡單模糊控制器的輸入變量中加入了變量變化率的信息,即將輸入變量和變量的變化率融合為一個輸入量,並在模糊控制器的輸出端加入比例、積分環節,然後分析了這種改進后的模糊控制器的解析結構,最後採用改進后的自適應遺傳運算元的遺傳演算法對模糊控制器中的隸屬函數和融合因子進行優化,並將優化前後的結果作了比較和分析。 2The second chapter reveals the mathematical essence of entropy regularization method for the finite min - max problem, through exploring the relationship between entropy regularization method and exponential penalty function method. the third chapter extends maximum entropy method to a general inequality constrained optimization problem and establishes the lagrangian regularization approach. the fourth chapter presents a unified framework for constructing penalty functions by virtue of the lagrangian regularization approach, and illustrates it by some specific penalty and barrier function examples
第一章為緒論,簡單描述了熵正則化方法與罰函數法的研究現狀;第二章,針對有限極大極小問題,通過研究熵正則化方法與指數(乘子)罰函數方法之間的關系,揭示熵正則方法的數學本質;第三章將極大熵方法推廣到一般不等式約束優化問題上,建立了拉格朗日正則化方法;第四章利用第三章建立的拉格朗日正則化方法,給出一種構造罰函數的統一框架,並通過具體的罰和障礙函數例子加以說明。In this thesis, we extend the entropy regularization method in two ways : from the min - max problem to general inequality constrained optimization problems and from the entropy function to more general functions
本文從兩個方面發展了這種熵正則化方法,即將其從極大極小問題推廣到一般不等式約束優化問題上和用一般函數代替熵函數作正則項,建立新的正則化方法。It is difficult to analytically solve the inequality constrained nlps in the dual space, due to the linear lagrangian. a perturbed ( regularized ) lagrangjan approach is proposed, which provides an analytic solution of the dual variables in terms of primal variables
然後針對帶不等式約束的非線性規劃問題,給出一個lagrange正則化(攝動)方法,該方法有效地克服了線性lagrange函數難于在對偶變量空間直接求解的困難。Secondly, on the premise of the principle of minimum cost and serving object and planning aim of logistics distribution network in a city, the paper analyses systemicly all the factors on total cost, establishes arithemetic model, calculates with ristricted function method, then gets the initial distribution network. thirdly, the aticle evaluates and revises the results calculated from the foregoing madel with delphi method and secondary comparative model, thus gets ulteriorly optimized distribution network. at last, the importance of constructing logistics information platform is put forward, at the same time the flatform ' s requirment, function formation and running mechanism are analysed synthetically
本文首先分析了我國與國外物流發展的差距與異同,並根據我國物流業發展的客觀環境,提出了市域物流配送網路規劃的概念以及開展此項工作的重要性和迫切性;其次在最小成本原則和明確市域物流配送網路服務對象與規劃目標的前提下,對影響總成本的各項因素進行系統分析,從而建立基於最小成本的數學模型,並採用制約函數法對所建模型進行求解,得到最初的配送網路;再次由德爾菲法和二次比選模型對模型求解結果分別進行初次和二次評估修正,從而得到進一步優化的配送網路;最後提出建設市域物流信息平臺的重要性,並對其需求、功能組成及運行機制進行了綜合分析。Mundy j l, zisserman a eds., mit press, cambridge, mass., 1992, pp. 375 - 497. 15 rothe i, susse h, voss k. the method of normalization to determineinvariants
不幸的是,即使我們計算出我們的相關函數的這些新的矩,我們也無法分離出光照的影響,因為這些仿射正則化矩是實值的。Zeta function regularization
函數正則化1 ) the basic theories used in this thesis were introduced, including machine learning, kernel machine, statistical learning theory and regularized theory
介紹了機器學習和kernel學習機基本理論。介紹了kernel演算法的通用結構、 mercer定理及映射函數。介紹了統計學習理論和正則化網路的理論。分享友人