From d6caa48425325a4539d0db7b9e8e27c3c6a38c8e Mon Sep 17 00:00:00 2001 From: "xiangyu.xie" Date: Thu, 9 Oct 2025 16:10:27 +0200 Subject: [PATCH] Rename the Rosenblatt method; add the double CDF method. Add a simple example in notebook. --- EtaInterpolationFunctions.py | 40 ++++++++++++- etaInterpolation.ipynb | 111 ++++++++++++++++++++++++++++++----- 2 files changed, 136 insertions(+), 15 deletions(-) diff --git a/EtaInterpolationFunctions.py b/EtaInterpolationFunctions.py index dd69329..d59ddf8 100644 --- a/EtaInterpolationFunctions.py +++ b/EtaInterpolationFunctions.py @@ -5,7 +5,7 @@ Functions for eta interpolation 2. bilinear_xy_lookup(etaX, etaY, X_tab, Y_tab, x_centers, y_centers) 3. map_xy_no_interp(etaX, etaY, X_tab, Y_tab, x_edges, y_edges) ''' -def build_xy_lut_from_hist(H): +def build_xy_lut_Rosenblatt(H): """ Generate two 2D tables X_tab, Y_tab from a 2D histogram H such that (X_tab[i,j], Y_tab[i,j]) is the (x,y) value at the center of bin (i,j). @@ -44,6 +44,44 @@ def build_xy_lut_from_hist(H): return (X_tab, Y_tab) +def build_xy_lut_DoubleCDF(H): + """ + Generate two 2D tables X_tab, Y_tab from a 2D histogram H + such that (X_tab[i,j], Y_tab[i,j]) is the (x,y) value at the center of bin (i,j). + Input: + H: 2D histogram of charge centroid (eta_x, eta_y) distribution, shape (nBinX, nBinY), ranging from 0 to 1. + Output: + X_tab, Y_tab: two 2D tables of interpolated (x,y) values in position space, shape (nBinX, nBinY), ranging from 0 to 1. + """ + H = np.asarray(H, dtype=float) + nBinX, nBinY = H.shape + etaX_edges = np.linspace(0, 1, nBinX+1) + etaY_edges = np.linspace(0, 1, nBinY+1) + + # slight smoothing to avoid zero-count rows/columns causing flat CDF + eps=1e-9 + alpha = max(eps, 1e-12 * max(1.0, H.sum())) + Hs = H + alpha + + # marginal 1D CDF F_EtaX + pEtaX = Hs.sum(axis=1) # Marginal PDF (nBinX,) + F_EtaX_edges = np.concatenate([[0.0], np.cumsum(pEtaX)])# CDF at bin edges (nBinX+1,) + F_EtaX_edges = F_EtaX_edges / F_EtaX_edges[-1] + + # marginal 1D CDF F_EtaY + pEtaY = Hs.sum(axis=0) # Marginal PDF (nBinY,) + F_EtaY_edges = np.concatenate([[0.0], np.cumsum(pEtaY)])# CDF at bin edges (nBinY+1,) + F_EtaY_edges = F_EtaY_edges / F_EtaY_edges[-1] + + # calculate (u,v) at the center of each original bin + Xc_1d = 0.5 * (F_EtaX_edges[:-1] + F_EtaX_edges[1:]) + Yc_1d = 0.5 * (F_EtaY_edges[:-1] + F_EtaY_edges[1:]) + + X_tab = np.repeat(Xc_1d[:, None], nBinY, axis=1) # (nBinX, nBinY) + Y_tab = np.repeat(Yc_1d[None, :], nBinX, axis=0) # (nBinX, nBinY) + + return (X_tab, Y_tab) + def bilinear_xy_lookup(etaX, etaY, X_tab, Y_tab): """ bilinear interpolation, from (eta_x, eta_y) to (u,v): diff --git a/etaInterpolation.ipynb b/etaInterpolation.ipynb index 940b480..99b2401 100644 --- a/etaInterpolation.ipynb +++ b/etaInterpolation.ipynb @@ -2,14 +2,97 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from glob import glob\n", "from matplotlib import pyplot as plt\n", - "from EtaInterpolationFunctions import build_xy_lut_from_hist, bilinear_xy_lookup, xy_lookup\n" + "from EtaInterpolationFunctions import *\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A simple example\n", + "Mapping a 2D distribution to a uniform distribution using different interpolation methods.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Original x: mean=0.481, std=0.172\n", + "Original y: mean=0.522, std=0.174\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rng = np.random.default_rng(42)\n", + "n = 10_000_000 # number of samples\n", + "\n", + "# non-uniform 2D distribution: spiral with noise\n", + "theta = rng.uniform(0, 4*np.pi, size=n)\n", + "r = 0.3 + 0.4 * (theta / (4*np.pi)) # 螺旋半径从 0.3 到 0.7\n", + "x_raw = r * np.cos(theta) + 0.1 * rng.normal(size=n)\n", + "y_raw = r * np.sin(theta) + 0.1 * rng.normal(size=n)\n", + "\n", + "# normalize to [0, 1]\n", + "x = (x_raw - x_raw.min()) / (x_raw.max() - x_raw.min())\n", + "y = (y_raw - y_raw.min()) / (y_raw.max() - y_raw.min())\n", + "\n", + "# build 2D histogram\n", + "nBins = 80\n", + "H, _, _ = np.histogram2d(x, y, bins=nBins, range=[[0,1],[0,1]])\n", + "H = H.astype(int)\n", + "\n", + "# build LUT\n", + "X_tab, Y_tab = build_xy_lut_Rosenblatt(H)\n", + "u, v = bilinear_xy_lookup(x, y, X_tab, Y_tab)\n", + "H_uv = np.histogram2d(u, v, bins=nBins, range=[[0,1],[0,1]])[0]\n", + "X_tab2, Y_tab2 = build_xy_lut_DoubleCDF(H)\n", + "u2, v2 = bilinear_xy_lookup(x, y, X_tab2, Y_tab2)\n", + "H_uv2 = np.histogram2d(u2, v2, bins=nBins, range=[[0,1],[0,1]])[0]\n", + "\n", + "# map to (u, v)\n", + "u, v = bilinear_xy_lookup(x, y, X_tab, Y_tab)\n", + "\n", + "# Visualization\n", + "fig, axs = plt.subplots(1, 3, figsize=(15, 5))\n", + "\n", + "axs[0].imshow(H.T, origin='lower', extent=[0,1,0,1])\n", + "axs[0].set_title(\"Original (x, y)\")\n", + "axs[0].set_aspect('equal')\n", + "\n", + "axs[1].imshow(H_uv.T, origin='lower', extent=[0,1,0,1])\n", + "axs[1].set_title(\"Rosenblatt (u, v)\")\n", + "\n", + "axs[2].imshow(H_uv2.T, origin='lower', extent=[0,1,0,1])\n", + "axs[2].set_title(\"Double CDF (u, v)\")\n", + "axs[2].set_aspect('equal')\n", + "axs[2].set_xlim(0,1); axs[2].set_ylim(0,1)\n", + "\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" ] }, { @@ -21,7 +104,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -102,7 +185,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -118,7 +201,7 @@ ], "source": [ "### build xy lookup table and plot\n", - "X_tab, Y_tab = build_xy_lut_from_hist(eta_2dhist)\n", + "X_tab, Y_tab = build_xy_lut_Rosenblatt(eta_2dhist)\n", "plt.figure(figsize=(8,4))\n", "plt.subplot(1,2,1)\n", "plt.imshow(X_tab, origin='lower', extent=(0,1,0,1))\n", @@ -144,7 +227,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -224,7 +307,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -305,16 +388,16 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 6, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, @@ -351,7 +434,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -383,7 +466,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -397,10 +480,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 8, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" },