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+0.99959993,10.258308,33.940422,3.5836797,33.98023,-2.5166607,29.39804,9.68402,38.562416 +0.99969995,10.2617035,33.942917,3.5870826,33.916195,-2.5132682,29.351355,9.687433,38.481033 +0.99979997,10.265098,33.945408,3.5904646,33.8517,-2.5098968,29.29639,9.690826,38.40701 +0.9999,10.268493,33.9479,3.593847,33.787014,-2.5065196,29.238543,9.694214,38.335487 +1.0,10.271888,33.95039,3.5972252,33.722046,-2.5031424,29.176258,9.697593,38.267834 diff --git a/src/scam/plot.py b/src/scam/plot.py new file mode 100644 index 0000000..1d8f56f --- /dev/null +++ b/src/scam/plot.py @@ -0,0 +1,86 @@ +import pandas as pd +import numpy as np +import matplotlib +import matplotlib.pyplot as plt +import torch +import pathlib + +# Define colors +COLORS = ['#4daf4a'] + +# Paths +PATH = pathlib.Path(__file__).parent.parent.parent.absolute() +DATA_PATH = PATH / "data" +LOGGING = False + +matplotlib.rc('text', usetex=True) +matplotlib.rc('font', family='serif') +matplotlib.rc('text.latex', preamble=r'\usepackage{amsmath}') + +datasets = { + "uniform_new_HC": DATA_PATH / "Gaussian_logCA0_uniform_J=20_HC.csv", + "uniform_new_MC": DATA_PATH / "Gaussian_logCA0_uniform_J=20_MC.csv", + "adaptive_new_HC": DATA_PATH / "Gaussian_logCA0_adaptive_J=20_HC.csv", + "adaptive_new_MC": DATA_PATH / "Gaussian_logCA0_adaptive_J=20_MC.csv", + } + +# Loading data +def load_data(path: str) -> tuple: + data = np.loadtxt(path, delimiter=",", skiprows=1, dtype=np.float32) + x_train = data[:, 0] + y_train = data[:, 1] + + return x_train, y_train + +def remove_points(train_x, train_y, nobs): + """ + Remove points from the dataset equally spaced + """ + idx = np.linspace(0, len(train_x) - 1, nobs).astype(int) + return train_x[idx], train_y[idx] + + +true_MC_x, true_MC_y = load_data(DATA_PATH / "true_Gaussian_logCA0_MC.csv") +true_HC_x, true_HC_y = load_data(DATA_PATH / "true_Gaussian_logCA0_HC.csv") + +model = 'SCAM' +if __name__ == '__main__': + for dataset_name, dataset_path in datasets.items(): + if 'HC' in dataset_name: + x_true, y_true = true_HC_x, true_HC_y + else: + x_true, y_true = true_MC_x[1:], true_MC_y[1:] + + for nobs in range(10, 21, 2) + [21]: + fig, ax = plt.subplots(1, 1, figsize=(5, 4), tight_layout=True) + name = f"{model}_{nobs}_nobs" + io_path = PATH / "experiments" / str(dataset_name) + io_path.mkdir(parents=True, exist_ok=True) + + train_x, train_y = load_data(dataset_path) + train_x, train_y = remove_points(train_x, train_y, nobs) + + test_x, test_y = load_data(io_path / f'{name}_.csv') + mse_loss = np.mean((test_y - y_true)**2) + + ax.plot(x_true, y_true, color=COLORS[0]) + ax.plot(train_x, train_y, "k*") + ax.legend(["Observed Values", "Mean", "Confidence"]) + ax.set_title("Function values") + ax.set_xlim([0, 1]) + # ax.set_ylim([-7.5, 12.5]) + ax.set_xlabel(r"$\alpha$") + ax.set_ylabel(r"$f_{\boldsymbol{z}}(\alpha)$") + ax.text(0.5, 0.05, f"MSE: {mse_loss:.2f}", + transform=ax.transAxes, + fontsize=16, + bbox=dict(facecolor=COLORS[0], alpha=0.5)) + + fig.suptitle("Shape Constrained Additive Model (SCAM)", + fontsize=18, + color=COLORS[0], + fontweight='bold') + + # plt.show() + fig.savefig(io_path / (name + ".png"), dpi=600, bbox_inches="tight") + plt.close(fig) \ No newline at end of file diff --git a/src/scam/scam.R b/src/scam/scam.R new file mode 100644 index 0000000..7e8f579 --- /dev/null +++ b/src/scam/scam.R @@ -0,0 +1,92 @@ +library(scam) +library(dplyr) +library(readr) + +# Function to remove points equally spaced in the dataset +remove_points <- function(x, y, nobs) { + idx <- seq(1, length(x), length.out = nobs) + return(list(x = x[idx], y = y[idx])) +} + +# Paths to datasets +data_paths <- list( + "uniform_new_HC" = "../../data/Gaussian_logCA0_uniform_J=20_HC.csv", + "uniform_new_MC" = "../../data/Gaussian_logCA0_uniform_J=20_MC.csv", + "adaptive_new_HC" = "../../data/Gaussian_logCA0_adaptive_J=20_HC.csv", + "adaptive_new_MC" = "../../data/Gaussian_logCA0_adaptive_J=20_MC.csv" +) + +# Define nobs scenarios +nobs_scenarios <- append(seq(6, 20, by = 2), 21) + +# Data frame to store results +results <- data.frame(model = character(), scenario = integer(), dataset = character(), mse = numeric()) + +x_true <- read_csv("../../data/true_Gaussian_logCA0_HC.csv")$a0 +# Experiment loop +for (dataset_name in names(data_paths)) { + dataset_path <- data_paths[[dataset_name]] + + # Read data + data <- read_csv(dataset_path) + x <- data$a0 + y <- data$lc_a0 + + + for (nobs in nobs_scenarios) { + + # Remove points to get desired number of observations + sampled_data <- remove_points(x, y, nobs) + x_sampled <- sampled_data$x + y_sampled <- sampled_data$y + + # Fit the SCAM model + model <- tryCatch( + { + scam(y_sampled ~ s(x_sampled, bs = "cx")) + }, + error = function(e) { + cat("Error in model fitting:", e$message, "\n") + return(NULL) + } + ) + + if (!is.null(model)) { + # Generate predictions on a regular grid from 0 to 1 + grid <- data.frame(x_sampled = x_true) + grid$y_pred <- predict(model, newdata = grid) + # print("Got here") + + # Save predictions + output_file <- paste0("../../experiments/", dataset_name, "/SCAM_", nobs , "_nobs_", ".csv") + write.csv(grid, output_file, row.names = FALSE) + + # Calculate Mean Squared Error (MSE) on the sampled data + #y_pred_sampled <- predict(model, newdata = data.frame(x = x_sampled)) + #mse <- mean((y_sampled - y_pred_sampled)^2) + + # Store results + #results <- rbind( + # results, + # data.frame(model = "SCAM", scenario = nobs, dataset = dataset_name, mse = mse) + #) + + cat("Finished SCAM model on", dataset_name, "with nobs =", nobs, "\n") + rm(grid) + } + } +} + +# Save MSE results to CSV +#write.csv(results, "scam_mse_results.csv", row.names = FALSE) + +# Display results +#print(results) + + +ggplot(data, aes(x = x, y = y)) + + geom_point(color = "blue", alpha = 0.5) + # Original data points + geom_line(data = grid, aes(x = x, y = y_pred), color = "red") + # Predicted line on grid + labs(title = "Shape-Constrained Additive Model Fit", + x = "x", y = "y") + + theme_minimal() diff --git a/src/scam/scam_predictions_adaptive_HC.csv b/src/scam/scam_predictions_adaptive_HC.csv new file mode 100644 index 0000000..68e560d --- /dev/null +++ b/src/scam/scam_predictions_adaptive_HC.csv @@ -0,0 +1,1001 @@ +"x","y_pred" +0,-12.7802555021927 +0.001001001001001,-12.7905634663453 +0.002002002002002,-12.8005290292418 +0.003003003003003,-12.8101528378962 +0.004004004004004,-12.8194355393225 +0.005005005005005,-12.8283777805346 +0.00600600600600601,-12.8369802085466 +0.00700700700700701,-12.8452434703725 +0.00800800800800801,-12.8531682130262 +0.00900900900900901,-12.8607550835218 +0.01001001001001,-12.8680047288733 +0.011011011011011,-12.8749177960946 +0.012012012012012,-12.8814949321997 +0.013013013013013,-12.8877367842027 +0.014014014014014,-12.8936439991176 +0.015015015015015,-12.8992172239582 +0.016016016016016,-12.9044571057387 +0.017017017017017,-12.909364291473 +0.018018018018018,-12.9139394281752 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