<p> Genfit Minimize Utilities [disabled] Those utilities saved in "Genfit Minimize Include" </p>

f3b6a0bb-4462-4d70-b4c9-48648369df39 6 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

init iter Minimize XY f φ β LS X XY 1 col : Y XY 2 col : n XY rows : k x β φ length 1 - : vx-> raw initial vector fit i 1 X length range vx i el X i el β f eval : for M-> Cholesky GradientMatrix j 1 k range i 1 n range M i j el X i el β φ j 1 + el eval : for for CholeskySolver LeastSquares Φ M transpose M * : d M transpose Y vx - (* : Δβ Φ 1 -^eval d * : b β Δβ + : 131 line : β 1 el init : i 1 : i iter ≤ β i 1 + el XY f φ β i el LS : i i 1 + : 21 line while β β iter el : 41 line β 31 line :

Vector Gradient ... Optimiz Symbolic
seemingly a scalar kernel  not 
recognized in program loop x β f n φ ct 1 : i 1 n range PD ct el x β f (β ct el diff : stack f(x,β) & PD V 1 el x β f : V i 1 + el PD i el : 21 line ct ct 1 + : 41 line for V 31 line :

Error stem plot for QuickPlot unicolor data Error stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - range V V stem j el stack : for V V data data rows row stack : 71 line :

L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx - (dx i * + : for U 41 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

corr Pearson correlation χ X Mean : μ Y Mean : n XY rows : 13 mat X i el χ - (Y i el μ - (* (i 1 n sum X i el χ - (2^(i 1 n sum Y i el μ - (2^(i 1 n sum * sqrt / X i el χ - (X i el β f eval μ - (* (i 1 n sum X i el χ - (2^(i 1 n sum X i el β f eval μ - (2^(i 1 n sum * sqrt / / 31 line :

correlation between [X,Y data]

correlation ... [X,fitted model]

Absolute  residuals observer
fetches β from calculated δ j 1 XY rows range Δ j el Y j el X j el β f - eval : for X Δ augment 21 line :

SSD = "Sum Square Differences" SSD Y i el X i el β f - (2^(i 1 XY rows sum :

all 9 components utilities recovered Genfit Minimize Include.sm include 9

Each new project starts here from new data set and model function

XY 104092030430260401925017052 mat :

Model function x β f β 1 el β 2 el x * exp * :

in φ(x,β,f,n) -> set 'n' to last index β # el ≡

<= ConjugateGradient Vector Fnct x β φ x β f 2 φ :

X XY 1 col : Y XY 2 col : 12 mat data XY . 12 black plot : n XY rows : 31 line

init 500 0.05 - 12 mat transpose :

iter 5 :

algo solving for β β init iter Minimize :

assign/isolate .. β β :

Relative residuals Residuals i 1 XY rows range Δ i el 1 Y i el X i el β f / - eval : for X Δ augment 21 line :

SSD 512

β 504.902 0.023 - 21 mat

corr 0.9839

FIT range, populate U 060 0.1 range : i 1 U rows range vy i el U i el β f eval : for U vy augment 41 line :

Lifetime of the decay τ 1 β 2 el / abs : 43.4

data FIT 2 1 sys

Relative residuals

Residuals 0.5 BarSize 1 1 sys

Langmir model function x β f β 1 el x β 3 el^* 1 β 2 el x β 3 el^* + / (β 4 el^:

A most difficult data set to fit. For that one, Mathcad is no better, all sorts of coefficients will result ... LM no better either [ERR 0.32]

data n ‖ data n col :

XY 0.5 0.1 20 3.341 50 6.429 100 9.366 200 12.184 300 13.645 500 15.393 1000 17.767 14001992 mat :

in φ(x,β,f,n) -> set 'n' to last index β # el ≡

<= ConjugateGradient Vector Fnct x β φ x β f 4 φ :

X XY 1 ‖ : Y XY 2 ‖ : 12 mat data XY . 12 black plot : n XY rows : 31 line

init 7574 0.4 45014 mat transpose :

iter 13 :

algo solving for β β init iter Minimize :

assign/isolate .. β β :

SSD 0.101

corr 1.003

Relative residuals Residuals i 1 XY rows range Δ i el 1 Y i el X i el β f / - eval : for X Δ augment 21 line :

FIT range, populate U 0150010 range : i 1 U rows range vy i el U i el β f eval : for U vy augment 41 line :

β 646.775 646.312 0.411 4607.136 41 mat

data FIT 2 1 sys

Relative residuals

Residuals 0.1 BarSize 1 1 sys