From bc9a32216b16deb248da1bfa1e52937855b61ef3 Mon Sep 17 00:00:00 2001 From: Lars Daniel Johansson Nino Date: Wed, 30 Apr 2025 15:30:24 -0600 Subject: [PATCH 1/7] Add R files --- Planes/Planes1.R | 345 +++++++++++++++++++++++++++++++++++++++++++++++ Planes/Planes2.R | 75 +++++++++++ 2 files changed, 420 insertions(+) create mode 100644 Planes/Planes1.R create mode 100644 Planes/Planes2.R diff --git a/Planes/Planes1.R b/Planes/Planes1.R new file mode 100644 index 0000000..b2c3092 --- /dev/null +++ b/Planes/Planes1.R @@ -0,0 +1,345 @@ +#Writen by: Lars Daniel Johansson Niño +#Created date: 08/08/2024 +#Purpose: Perform FPCA with flight data. + + +library(refund) +library(tidyverse) +library(RFPCA) +library(abind) +library(pracma) +library(Rmpfr) +library(ggplot2) + +options(digits = 22) # or any number up to 22 + + +fd <- as.data.frame(read.csv('smoothed_less_p_data_flights_egll_esgg1d2.csv') ) #Reads data on processed curves, latitude. +a <- pi/180 +fd <- fd%>%mutate(x_s0 = sin(a*x_org)*cos(a*y_org), y_s0 = sin(a*x_org)*sin(a*y_org), z_s0 = cos(a*x_org) ) +obs_xyz <- fd%>%select(n, x_s0, y_s0, z_s0) + +obs_t <- fd%>%select(n, t) + +no_t <- length(unique(obs_t$t)) +n_un <- max(unique(obs_xyz$n)) +obs_xyz_list <- list() +obs_t_list <- list() + +for(i in 1:n_un){ + curr_n <- t(obs_xyz%>%filter(n == i)%>%select(x_s0, y_s0, z_s0)) + curr_t <- t(obs_t%>%filter(n == i)%>%select(t)) + rownames(curr_n) <- NULL + rownames(curr_t) <- NULL + + obs_xyz_list[[i]] <- curr_n + obs_t_list[[i]] <- c(curr_t) + +} + +bw <- 00.1 +kern <- 'gauss' +K <- 12 +nRegG = 100 +mfdSp <- structure(1, class='Sphere') +resSp <- RFPCA(obs_xyz_list, obs_t_list, list(userBwMu=bw, userBwCov=bw * 2, npoly = 3, nRegGrid = nRegG, kernel=kern, error = FALSE, maxK=K, mfd=mfdSp)) #Performs RFPCA on sparsified observations. + + + +mu_est <- t(resSp$muWork) +mu_org_grid <- t(resSp$muObs) #Gets estimated mean function on matrix of dimension (# points in grid) x 3 + +norm_mu_sphr <- sqrt(mu_org_grid[,1]^2 + mu_org_grid[,2]^2 + mu_org_grid[,3]^2) +is_on_sphere_mu_sphr <- abs(norm_mu_sphr - 1) < 0.0001 + + + +phi <- resSp$phi # nWorkGrid x D x K + +to_sphere <- function(mu, phi, l){ + phi_fin <- phi + + for(i in 1:l){ + v <- phi_fin[i, ] + curr_mu <- mu[i,] + v_n <- sqrt(sum(v^2) ) + phi_fin[i,] <- cos(v_n)*curr_mu + sin(v_n)*v*(1/v_n) + } + phi_fin +} + + + +sph_obs_df <- data.frame(x = mu_est[,1], y = mu_est[,2], z = mu_est[,3], lbl = rep('mu_est', length(mu_est[,1]) ) ) #Stores mean function in appropiate dataframe. + + +for (i in 1:resSp$K){ + print("------------------------------------------------------------------------------------------------------") + c_phi <- phi[,,i] + s_phi <- to_sphere(mu_est, (1 )*c_phi, nRegG) #3*sqrt(resSp$lam[i]) + + aux <- s_phi[,1]^2 + s_phi[,2]^2 + s_phi[,3]^2 + print(mean(aux)) + print(var(aux)) + + curr_df <- data.frame(x = s_phi[,1], y = s_phi[,2], z = s_phi[,3],lbl = rep(paste('phi',as.character(i)), length(s_phi[,1]))) + curr_df_e <-data.frame(x = c_phi[,1], y = c_phi[,2], z = c_phi[,3],lbl = rep(paste('phi_eu',as.character(i)), length(s_phi[,1])) ) + sph_obs_df <- rbind(sph_obs_df, curr_df) + sph_obs_df <- rbind(sph_obs_df, curr_df_e) +} + + +write.csv(sph_obs_df, 'rfpca_spherical_flights_egll_esgg1d2.csv') + + +xi <- resSp$xi #Matrix of dimensions n_un x k, i.e. its element [i, ] corresponds to the estimated scores for the i-th observed function. +phi_org_grid <- resSp$phiObsTrunc #Gets tensor of dimensions (# points in grid) x 3 x k, i.e. its element [,,i] corresponds to the i-th estimated eigenfunction. +mu_org_grid <- t(resSp$muObs) #Gets estimated mean function on matrix of dimension (# points in grid) x 3 + + +#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + + +phi_acc <- lapply(rep(1, n_un), function(x){mu_org_grid}) #Creates a vector with the mean function repeated n_un times i.e. phi_acc_0[[i]] = mu_org_grid for i = 1,2,...., n_un +phi_acc <- abind(phi_acc, along = 3) #Converts phi_acc to a tensor of dimensions (# points in grid) x 3 x n_un +phi_acc <- array(phi_acc, dim = c(as.vector(dim(phi_acc)),1)) #Converts phi_acc to a tensor of dimensions (# points in grid) x 3 x n_un x 1. i.e. to later store everything in the same tensor. + + + +for(i in 1:K){ + phi_acc_curr <- lapply(xi[,i], function(x){x*phi_org_grid[,,i]}) #Multiples individual observation scores by i-th estimated eigenfunction. + phi_acc_curr <- abind(phi_acc_curr, along = 3) #Converts phi_acc_curr to a tensor of dimensions (# points in grid) x 3 x n_un + phi_acc_curr <- array(phi_acc_curr, dim = c(as.vector(dim(phi_acc_curr)),1))#Converts phi_acc_curr to a tensor of dimensions (# points in grid) x 3 x n_un x 1. i.e. to later store everything in the same tensor. + phi_acc <- abind(phi_acc, phi_acc_curr, along = 4) #Adds phi_acc_curr to phi_acc as a new slice. +} #Obs: in the end, phi_acc will be a tensor of dimension (#points in grid) x 3 x n_un x K. + + +geodesic_dist_sphere <- function(p, q, l){ #p, and q are two matrices of the same dimensions + + warn <- 0 + prob_x <- 0 + inn_prods <- rep(0,l) + toRet <- rep(0, l) #Creates vector of zeros to store output. + for( i in 1:l){ + inn_prod <- sum(p[i,]*q[i,]) #Takes inner product between p[i,] and q[i,] + inn_prods[i] <- inn_prod + toRet[i] <- acos(inn_prod) #Takes spherical distance between ith rows p[i,] and q[i,] + if(is.nan(toRet[i]) ){ + + if(sqrt(sum(p[i,]^2))>1 | sqrt(sum(p[i,]^2))<1 ){ + prob_x <- prob_x + 1 + } + warn <- warn + 1 + if(inn_prod > 1) + toRet[i] <- acos(1) + else + toRet[i] <- acos(-1) + } + + } + + #May I be forgiven for this way of programming. Warning, warn_track and n_curr are modified within the geodesic_dist_sphere function. + warn_track_curr <- data.frame(n = c(n_curr), warn = c(warn), prop = c(warn/l), k_n = c(k_curr), prob_x = c(prob_x), diff_warn_x = c(abs(warn-prob_x)) , max_inn_prod = c(max(inn_prods)), min_inn_prod = c(min(inn_prods))) + warn_track <<- rbind(warn_track, warn_track_curr) + n_curr <<- n_curr + 1 + + return (toRet) + + } #Asumes that both + + +warn_track <- data.frame(n = c(0), warn = c(0), prop = c(0), k_n = c(0), prob_x = c(0), diff_warn_x = c(0), max_inn_prod = c(NaN), min_inn_prod = c(NaN)) +k_curr <- 0 +n_curr <- 1 + +obs_X <- abind(obs_xyz_list, along = 3) +norm_X <- matrix(0, nrow = n_un, ncol = no_t) + +for(i in 1:n_un){ + curr_X <- obs_X[,,i] + norm_X[i, ] <- sqrt( curr_X[1,]^2 + curr_X[2,]^2 +curr_X[3,]^2 ) +} + + +hist(norm_X) +max(norm_X) +min(norm_X) + + +geod_dist <- lapply(1:n_un, function(x){ geodesic_dist_sphere(t(obs_X[,,x]), mu_org_grid, no_t ) }) +geod_dist <- abind(geod_dist, along = 2) +geod_dist <- array(geod_dist, dim = c(as.vector(dim(geod_dist)), 1)) + +aux_ten <-array(0, c(no_t, 3, n_un))#Creates auxiliary tensor to accumulate xi*phi(t) values up to the k-th eigenfunction. + +for(k in 1:K){ + + k_curr <- k + n_curr <- 1 + + curr_acc_phi <- phi_acc[,,,k+1] #Obtains values xi_k phi_k(t) for the original grid. + aux_ten <- aux_ten + curr_acc_phi #Obtains the previous + xi_k phi_k(t) + curr_acc_k_sphr <- lapply(1:n_un, function(x){ to_sphere(mu_org_grid, aux_ten[,,x], no_t)})#Passes sum(xi_k phi_k(t)) to the sphere. + curr_acc_k_sphr <- abind(curr_acc_k_sphr, along = 3) #Accomodates the former as a tensor of dimension no_t x 3 x n_un for better management. + l <- sqrt(curr_acc_k_sphr[,1,]^2 + curr_acc_k_sphr[,2,]^2 + curr_acc_k_sphr[,3,]^2) #Computes pointwise norm to see whether points are on the unit sphere. + lmean <-apply(l, 2, mean) #Calculates, by observation, the mean of the norm values. + lvar <- apply(l, 2, var) #Calculates, by observation, the variance of the norm values. + + curr_geod_dist <- lapply(1:n_un, function(x){geodesic_dist_sphere( t(obs_X[,,x]) , curr_acc_k_sphr[,,x] ,no_t)}) #Calculates, pointwise, the geodesic distance for exp(sum xi_k phi_k(t)) to the actual observation. + curr_geod_dist <- abind(curr_geod_dist, along = 2) #Accomodates the formeer as a tensor of dimension no_t x n_un for better management. + #phi_acc <- abind(phi_acc, phi_acc_curr, along = 4) #Adds phi_acc_curr to phi_acc as a new slice. + geod_dist <- abind(geod_dist, curr_geod_dist, along = 3)#Adds curr_dist_sqrd to dist_sqrd as a new slice. + print("..........................................................................................................") + print("mean of means") + print(mean(lmean)) + print("Mean of variances") + print(mean(lvar)) + print("..........................................................................................................") +} + + +ggplot(warn_track, aes(x =warn)) +geom_histogram(bins = 7, fill = "steelblue") +facet_wrap(~ k_n) +theme_minimal() +ggplot(warn_track, aes(x =prob_x)) +geom_histogram(bins = 7, fill = "blue") +facet_wrap(~ k_n) +theme_minimal() +ggplot(warn_track, aes(x =diff_warn_x)) +geom_histogram(bins = 7, fill = "cyan") +facet_wrap(~ k_n) +theme_minimal() +hist(warn_track$max_inn_prod) +hist(warn_track$min_inn_prod) + +#-------------------------------------------------------------------------------------------------------------------------------------------------- + +dist_sqrd <- matrix(0, nrow = n_un, ncol = K + 1) + +for(t in 1:no_t){ + dist_sqrd <- dist_sqrd + geod_dist[t, ,]^2 +} +U0 <- mean(dist_sqrd[,1]) +U_m0 <- colMeans(dist_sqrd[, 1:K+1]) +FVE <- ((U0 - U_m0)/U0) + +FVE_k_d <- formatC(FVE, digits = 4, format = "fg", flag = "#") + + +FVE_to_95 <- FVE >= 0.95 + +#----------------------------------------------------------------------------------------------------------------------- +#A little sanity check, see if final calculations coincide with what they are supposed to be. + +xi <- resSp$xi #Matrix of dimensions n_un x k, i.e. its element [i, ] corresponds to the estimated scores for the i-th observed function. +phi_org_grid <- resSp$phiObsTrunc #Gets tensor of dimensions (# points in grid) x 3 x k, i.e. its element [,,i] corresponds to the i-th estimated eigenfunction. +mu_org_grid <- t(resSp$muObs) #Gets estimated mean function on matrix of dimension (# points in grid) x 3 + + +u0g <- lapply(1:n_un, function(x){ geodesic_dist_sphere(t(obs_X[,,x]), mu_org_grid, no_t ) }) + +u0 <- 0 +for( i in 1:n_un){ + u0 <- u0 + sum( u0g[[i]]^2) +} +u0 <- u0/n_un + + +phi1 <- phi_org_grid[,,1] +phi2 <- phi_org_grid[,,2] + + +xi1 <- xi[,1] +xi2 <- xi[,2] +u1 <- c() + +for( i in 1:n_un){ + + curr_sphr <- to_sphere(mu_org_grid, xi1[i]*phi1 + xi2[i]*phi2, no_t) + curr <- geodesic_dist_sphere(t(obs_X[,,i]), curr_sphr, no_t ) + u1 <- c(u1, sum(curr^2)) +} + +u1 <- mean(u1) + +curr_sphr <- to_sphere(mu_org_grid, xi1[1]*phi1, no_t) +curr <- geodesic_dist_sphere(t(obs_X[,,1]), curr_sphr, no_t ) +l <- geod_dist[,,2] +l <- l[,2] + + +ll <- dist_sqrd[1,2] +aa <- sum(curr^2) + + + + +#---------------------------------------------------------------------------------------------------------------------------- + + +mu_est_work<- t(resSp$muWork) +phi_work <- resSp$phiObsTrunc + +work_obs_df <- data.frame(x = mu_est_work[,1], y = mu_est_work[,2], z = mu_est_work[,3], lbl = rep('mu_est', length(mu_est_work[,1])) ) +aux <- mu_est_work[,1]^2 + mu_est_work[,2]^2 + mu_est_work[,3]^2 + + +print("Principal components") + +for(i in 1:resSp$K){ + print("------------------------------------------------------------------------") + c_phi <- phi_work[,,i] + curr_df <- data.frame(x = c_phi[,1], y = c_phi[,2], z = c_phi[,3], lbl = rep(paste('phi',as.character(i)), length(c_phi[,1])) ) + + aux <- c_phi[,1]^2 + c_phi[,2]^2 + c_phi[,3]^2 + print(mean(aux)) + print(var(aux)) + + work_obs_df <- rbind(work_obs_df, curr_df) +} + +write.csv(work_obs_df, 'rfpca_work_flights_egll_esgg1d2.csv') + + + +#---------------------------------------------------------------------------------------------------------------------------------- + + +var_lam <- resSp$lam +pve_ish <- var_lam/sum(var_lam) + +pve <- cumsum(pve_ish) +pve_k_d <- formatC(pve, digits = 4, format = "fg", flag = "#") + +pve_to_95 <- pve >= 0.95 + +mfd <- structure(1, class='Euclidean') +resEu <- RFPCA(obs_xyz_list, obs_t_list, list(userBwMu=bw, userBwCov=bw * 2, npoly = 3, nRegGrid = nRegG, kernel=kern, error = FALSE, maxK=K, mfd=mfd)) #Performs RFPCA on sparsified observations. + +mu_est_eu <- t(resEu$muWork) +mu_est_eu_obs <- t(resEu$muObs) +norm_eu_mu <- sqrt( mu_est_eu_obs[,1]^2 + mu_est_eu_obs[,2]^2 +mu_est_eu_obs[,3]^2) +is_on_sphere_mu_eu <- abs(norm_eu_mu - 1) < 0.0001 +phi_eu <- resEu$phi + +eu_obs_df <- data.frame(x = mu_est_eu[,1], y = mu_est_eu[,2], z = mu_est_eu[,3], lbl = rep('mu_est', length(mu_est[,1])) ) +aux <- mu_est_eu[,1]^2 + mu_est_eu[,2]^2 + mu_est_eu[,3]^2 + +print("Eucledian mean") +print(mean(aux)) +print(var(aux)) + +print("Principal components") + +for(i in 1:resEu$K){ + print("------------------------------------------------------------------------") + c_phi <- phi_eu[,,i] + curr_df <- data.frame(x = c_phi[,1], y = c_phi[,2], z = c_phi[,3], lbl = rep(paste('phi',as.character(i)), length(c_phi[,1])) ) + + aux <- c_phi[,1]^2 + c_phi[,2]^2 + c_phi[,3]^2 + print(mean(aux)) + print(var(aux)) + + eu_obs_df <- rbind(eu_obs_df, curr_df) +} + + +var_lam_eu <- resEu$lam +pve_ish_eu <- var_lam_eu/sum(var_lam_eu) +write.csv(eu_obs_df, 'rfpca_euclidean_flights_egll_esgg1d2.csv') + + +matplot( t(resEu$muObs), type='l', lty=2) +matplot(t(resSp$muObs), type='l', lty=1, add=TRUE) diff --git a/Planes/Planes2.R b/Planes/Planes2.R new file mode 100644 index 0000000..67bb78b --- /dev/null +++ b/Planes/Planes2.R @@ -0,0 +1,75 @@ +#Writen by: Lars Daniel Johansson Niño +#Created date: 08/08/2024 +#Purpose: Perform FPCA with flight data. + + +library(refund) +library(dplyr) +library(tidyverse) +library(RFPCA) + +fd <- as.data.frame(read.csv('smoothed_less_p_data_flights_egll_esgg1d2.csv') ) #Reads data on processed curves, latitude. + +obs_xy <- fd %>% select(n, x_org, y_org) +obs_t <- fd%>%select(n, t) + +n_un <- max(unique(obs_xy$n)) +obs_xy_list <- list() +obs_t_list <- list() + +for(i in 1:n_un){ + curr_n <- t(obs_xy%>%filter(n == i)%>%select(x_org, y_org)) + curr_t <- t(obs_t%>%filter(n == i)%>%select(t)) + rownames(curr_n) <- NULL + rownames(curr_t) <- NULL + + obs_xy_list[[i]] <- curr_n + obs_t_list[[i]] <- c(curr_t) + +} + + + +l <- dim(curr_t)[2] + +bw <- 00.1 +kern <- 'gauss' +K <- 12 +nRegG = 80 + +mfd <- structure(1, class='Euclidean') +resEu <- RFPCA(obs_xy_list, obs_t_list, list(userBwMu=bw, userBwCov=bw * 2, npoly = 3, nRegGrid = nRegG, kernel=kern, maxK=K, mfd=mfd)) #Performs RFPCA on sparsified observations. + + + +mu_est_eu <- t(resEu$muWork) +phi_eu <- resEu$phi + +eu_obs_df <- data.frame(x = mu_est_eu[,1], y = mu_est_eu[,2], lbl = rep('mu_est', length(mu_est_eu[,1])) ) + + +print("Principal components") + +for(i in 1:resEu$K){ + print("------------------------------------------------------------------------") + + c_phi <- phi_eu[,,i] + curr_df <- data.frame(x = c_phi[,1], y = c_phi[,2], lbl = rep(paste('phi',as.character(i)), length(c_phi[,1])) ) + + + eu_obs_df <- rbind(eu_obs_df, curr_df) +} + + +var_lam_eu <- resEu$lam +pve_ish_eu <- var_lam_eu/sum(var_lam_eu) +pve2 <- cumsum(pve_ish_eu) + +pve2_k_d <- formatC(pve2, digits = 4, format = "fg", flag = "#") + +write.csv(eu_obs_df, 'fpca_org_flights_egll_esgg1d2.csv') + + +matplot( resEu$muObs[1,], resEu$muObs[2,], type='l', lty=2) + +resEu$muReg \ No newline at end of file From 48e27c59173ff91573c8d91daddd6fac3885c8c6 Mon Sep 17 00:00:00 2001 From: Lars Daniel Johansson Nino Date: Wed, 30 Apr 2025 15:35:16 -0600 Subject: [PATCH 2/7] add one python file --- Planes/ves_res_rfpca.py | 149 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 149 insertions(+) create mode 100644 Planes/ves_res_rfpca.py diff --git a/Planes/ves_res_rfpca.py b/Planes/ves_res_rfpca.py new file mode 100644 index 0000000..ac7ea4c --- /dev/null +++ b/Planes/ves_res_rfpca.py @@ -0,0 +1,149 @@ +import os +scrpt_path = os.path.abspath(__file__) #Gets absolute path of the current script. +scrpt_dir = os.path.dirname(scrpt_path) # Get the directory name of the current script +os.chdir(scrpt_dir) #Chenges working direct ory to the python file´s path. + +import matplotlib.pyplot as plt +import numpy as np +import polars as pl +import pandas as pd +from matplotlib import cm +from mpl_toolkits.mplot3d import Axes3D + + +open_file_name = 'rfpca_euclidean_flights_egll_esgg1d2.csv' +#open_file_name = 'rfpca_spherical_flights_egll_esgg1d2.csv' +#open_file_name = 'rfpca_work_flights_egll_esgg1d2.csv' +#open_file_name = 'rfpca_flights_egll_esgg1d2.csv' +#open_file_name = 'fpca_org_flights_egll_esgg1d2.csv' + +subs = 's0' +color_col = 'cs' + +K =12 + +sphere_data = pd.read_csv(open_file_name) + +fig, ax = plt.subplots(4, 3, subplot_kw={'projection': '3d'}, figsize=(15, 9)) +ax = ax.flatten() + + +cmap = cm.get_cmap("tab10", K) + +#fig = plt.figure() +#ax = fig.add_subplot(projection='3d') + +#P = np.zeros((450,3, K)) + +for i in range(K): + phi = sphere_data[sphere_data['lbl'] == ('phi ' + str(i+1))] + color = cmap(i) # Assign a unique color + + + x = phi['x'].to_numpy() + y = phi['y'].to_numpy() + z = phi['z'].to_numpy() + + norm = np.sqrt(x**2 + y**2 + z**2) + print(f"phi {i+1} mean of norms: {np.mean(norm)} \nvariance of norm {np.var(norm)}\n") + + #P[:, 0, i] = x + #P[:,1,i] = y + #P[:, 2, i] = z + ax[i].plot(x,y,z, linewidth = 2.2, alpha = 0.9, color = color, label=f"EF {i+1}") + ax[i].legend() + +r = 2 +print(f"With respect to {r}") +#for i in range(0,K): + #L = P[:,:, i] - P[:, :, r] + #l = np.sum(L)/L.shape[0]*L.shape[1] + #print(f"For {i} mean entry difference {l}") + + + + + + +mu = sphere_data[sphere_data['lbl'] == 'mu_est'] +mu_x = mu['x'].to_numpy() +mu_y = mu['y'].to_numpy() +mu_z = mu['z'].to_numpy() + + +phi_mu = np.arccos(mu_z) +theta_mu = np.arcsin(mu_y/np.sin(phi_mu) ) + +phi_min = np.min(phi_mu) +phi_max = np.max(phi_mu) + +theta_min = np.min(theta_mu) +theta_max = np.max(theta_mu) +l = 0.01 + + +figS = plt.figure(figsize=(8, 6)) +axS = figS.add_subplot(111, projection='3d') + + +# Plot the unit sphere +#uS = np.linspace(0, 2 * np.pi, 100) +#vS = np.linspace(0, np.pi, 100) + +uS = np.linspace(theta_min-l, theta_max+l, 100) +vS = np.linspace(phi_min-l, phi_max+l, 100) + +xS = np.outer(np.cos(uS), np.sin(vS)) +yS = np.outer(np.sin(uS), np.sin(vS)) +zS = np.outer(np.ones_like(uS), np.cos(vS)) + +axS.plot_surface(xS, yS, zS, color='lightgray', alpha=0.3, linewidth=0) + +axS.plot(mu_x, mu_y, mu_z, color = 'red') + +#ax.plot(mu_x ,mu_y, mu_z, color = "red", linewidth = 2) + +#--Create figure to plot data-------------------------------------------------------------------------------------------------------------- + +flight_data_file = 'smoothed_less_p_data_flights_egll_esgg1d2.csv'# 'egll_esgg_clustered_0vals.csv' #'less_p_data_flights_egll_esgg1d2.csv' + +data = pl.read_csv( flight_data_file, has_header= True) +flight_n= data['n'].unique().to_list() + +fig1, ax1 = plt.subplots(1, 2, subplot_kw={'projection': '3d'}, figsize=(15, 9)) +ax1 = ax1.flatten() + +ax1[1].plot(mu_x ,mu_y, mu_z, color = "red", linewidth = 2.5, label = 'Mu') +ax1[1].legend() + + +unique_cs = data[color_col].unique().to_list() #Creates list of unique callsigns for flights. +cmap = plt.cm.viridis # You can choose a different colormap, e.g., 'plasma', 'cividis', etc. +colors = cmap(np.linspace(0, 1, len(unique_cs))) #Creates a unique color for each callsign. + +for f in flight_n: #[0:1]: + print(f"In flight {f}") + cf = data.filter(pl.col('n') == f) #Selects those values with number n. + cf_call_s = cf.get_column(color_col)[0] + cf_color = colors[unique_cs.index(cf_call_s)] + x_cf = cf[f'x_{subs}'].to_list() + y_cf = cf[f'y_{subs}'].to_list() + z_cf = cf[f'z_{subs}'].to_list() + axS.plot(x_cf, y_cf, z_cf, color = cf_color, alpha = 0.4) + + t = cf['t'].to_list() + #print(f"Number of points {len(x_cf)}") + ax1[0].plot(x_cf, y_cf, z_cf, color = cf_color) +ax1[0].legend() + + +plt.tight_layout() +plt.show() + + + + + +plt.show() + + From 0cf35a20b5f2c76b73b8dcae51903e9f97d5920f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Lars=20Daniel=20Johansson=20Ni=C3=B1o?= Date: Wed, 30 Apr 2025 20:24:42 -0600 Subject: [PATCH 3/7] Update GatherOpenSky.py --- GatherProcessData/Historical/GatherOpenSky.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/GatherProcessData/Historical/GatherOpenSky.py b/GatherProcessData/Historical/GatherOpenSky.py index 810096b..b050c3d 100644 --- a/GatherProcessData/Historical/GatherOpenSky.py +++ b/GatherProcessData/Historical/GatherOpenSky.py @@ -1,4 +1,4 @@ import OpenSkyManager as mng -osky = mng.OpenSkyManager('Lars_Johansson57', '0pen_Sky_N@|se' ) \ No newline at end of file +osky = mng.OpenSkyManager('Lars_Johansson57', 'se' ) \ No newline at end of file From e526209b3120dc03438aea529f76b3f1eebb5624 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Lars=20Daniel=20Johansson=20Ni=C3=B1o?= Date: Wed, 30 Apr 2025 20:25:20 -0600 Subject: [PATCH 4/7] Update Open_Sky_Testing.py --- GatherProcessData/Historical/Open_Sky_Testing.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/GatherProcessData/Historical/Open_Sky_Testing.py b/GatherProcessData/Historical/Open_Sky_Testing.py index 08b932c..b7d0eae 100644 --- a/GatherProcessData/Historical/Open_Sky_Testing.py +++ b/GatherProcessData/Historical/Open_Sky_Testing.py @@ -30,7 +30,7 @@ def main(): while continues == False: try: opensky.username = "Lars_Johansson57" - opensky.password = "0pen_Sky_N@|se" + opensky.password = "0se" #If the following works, well be able to get flight data for every 0.5 seconds From a569f81389db415589584254d1ee439ed82df3c4 Mon Sep 17 00:00:00 2001 From: Lars Daniel Johansson Nino Date: Sat, 3 May 2025 20:20:00 -0600 Subject: [PATCH 5/7] Changes to planes1.R --- Planes/Planes1.R | 38 +++++++++++++++++++++++++++++++------- 1 file changed, 31 insertions(+), 7 deletions(-) diff --git a/Planes/Planes1.R b/Planes/Planes1.R index b2c3092..ab95103 100644 --- a/Planes/Planes1.R +++ b/Planes/Planes1.R @@ -44,15 +44,14 @@ nRegG = 100 mfdSp <- structure(1, class='Sphere') resSp <- RFPCA(obs_xyz_list, obs_t_list, list(userBwMu=bw, userBwCov=bw * 2, npoly = 3, nRegGrid = nRegG, kernel=kern, error = FALSE, maxK=K, mfd=mfdSp)) #Performs RFPCA on sparsified observations. - +tol <- 0.0001 mu_est <- t(resSp$muWork) mu_org_grid <- t(resSp$muObs) #Gets estimated mean function on matrix of dimension (# points in grid) x 3 norm_mu_sphr <- sqrt(mu_org_grid[,1]^2 + mu_org_grid[,2]^2 + mu_org_grid[,3]^2) -is_on_sphere_mu_sphr <- abs(norm_mu_sphr - 1) < 0.0001 - - +is_on_sphere_mu_sphr <- abs(norm_mu_sphr - 1) < tol +prop_mu_on_sphere_sphr <- sum(is_on_sphere_mu_sphr)/length(is_on_sphere_mu_sphr) phi <- resSp$phi # nWorkGrid x D x K @@ -216,8 +215,6 @@ U_m0 <- colMeans(dist_sqrd[, 1:K+1]) FVE <- ((U0 - U_m0)/U0) FVE_k_d <- formatC(FVE, digits = 4, format = "fg", flag = "#") - - FVE_to_95 <- FVE >= 0.95 #----------------------------------------------------------------------------------------------------------------------- @@ -310,10 +307,37 @@ resEu <- RFPCA(obs_xyz_list, obs_t_list, list(userBwMu=bw, userBwCov=bw * 2, npo mu_est_eu <- t(resEu$muWork) mu_est_eu_obs <- t(resEu$muObs) + + + norm_eu_mu <- sqrt( mu_est_eu_obs[,1]^2 + mu_est_eu_obs[,2]^2 +mu_est_eu_obs[,3]^2) -is_on_sphere_mu_eu <- abs(norm_eu_mu - 1) < 0.0001 +is_on_sphere_mu_eu <- abs(norm_eu_mu - 1) < tol + + +prop_mu_on_sphere_eu <- 100*(sum(is_on_sphere_mu_eu)/length(is_on_sphere_mu_eu) ) + phi_eu <- resEu$phi +phi_eu_obsTrunc <- resEu$phiObsTrunc +aux <- phi_eu_obsTrunc[, 1, ]^2 + phi_eu_obsTrunc[,2,]^2 + phi_eu_obsTrunc[,3,]^2 +norm_phi_eu <- (sqrt(aux) - ones(no_t, K) ) < tol +prop_norm_phi_eu <- 100*(colSums(norm_phi_eu)/no_t) + + +##---------------------------------------------------------------------------------------------------- +##A little sanity check, + +phi1_eu <- phi_eu_obsTrunc[,,1] +aux2 <- phi1_eu[,1]^2 + phi1_eu[,2]^2 + phi1_eu[,3]^2 +l <- aux[,1] +l <- l - aux2 + +##---------------------------------------------------------------------------------------------------- + + + + + eu_obs_df <- data.frame(x = mu_est_eu[,1], y = mu_est_eu[,2], z = mu_est_eu[,3], lbl = rep('mu_est', length(mu_est[,1])) ) aux <- mu_est_eu[,1]^2 + mu_est_eu[,2]^2 + mu_est_eu[,3]^2 From 5d91cd985d4ac28ebcb54a403c44cbca5ba4cd64 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Lars=20Daniel=20Johansson=20Ni=C3=B1o?= Date: Fri, 16 May 2025 18:14:40 -0600 Subject: [PATCH 6/7] Add files via upload --- Flying_on_the_sphere0.pdf | Bin 0 -> 2327281 bytes 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