{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"pygments_lexer":"ipython3","nbconvert_exporter":"python","version":"3.6.4","file_extension":".py","codemirror_mode":{"name":"ipython","version":3},"name":"python","mimetype":"text/x-python"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Table of Contents</p>\n\n* [Problem Statement](#0)\n* [Initialization](#1)\n* [EDA](#2)\n    * [Sensor Data EDA](#sde)\n        * [Data Description](#dd)\n        * [Checking Missing Value](#cmv)\n        * [Cartesian Sensor Data Viz](#sdvc)\n        * [Polar Sensor Data Viz](#sdvpc)\n        * [Radius Distribution](#rd)\n        * [Theta Distribution](#td)\n        * [Phi Distribution](#pd)\n    * [Train Meta Data EDA](#tmde)\n        * [Train Meta Distribution](#tmd)\n        * [Relation Between First Pulse Index and Last Pulse Index](#rbfl)\n        * [azimuth & zenith Distribution](#azd)\n    * [Train Batch Data EDA](#tbde)\n        * [Relation Between Charge and Time](#rbct)\n        * [Relation Between Charge & Auxiliary](#rbca)\n        * [Auxiliary Distribution Class](#adc)","metadata":{}},{"cell_type":"markdown","source":"\n<a id='0'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Problem Statement</p>\n\n**Goal of the Competition**\n\nThe goal of this competition is to predict a neutrino particle’s direction. Need to develop a model based on data from the \"IceCube\" detector, which observes the cosmos from deep within the South Pole ice.\n\n**Context (From Overview Page)**\n\n\nOne of the most abundant particles in the universe is the neutrino. While similar to an electron, the nearly massless and electrically neutral neutrinos have fundamental properties that make them difficult to detect. Yet, to gather enough information to probe the most violent astrophysical sources, scientists must estimate the direction of neutrino events. If algorithms could be made considerably faster and more accurate, it would allow for more neutrino events to be analyzed, possibly even in real-time and dramatically increase the chance to identify cosmic neutrino sources. Rapid detection could enable networks of telescopes worldwide to search for more transient phenomena.\n\nResearchers have developed multiple approaches over the past ten years to reconstruct neutrino events. However, problems arise as existing solutions are far from perfect. They're either fast but inaccurate or more accurate at the price of huge computational costs.\n\nThe IceCube Neutrino Observatory is the first detector of its kind, encompassing a cubic kilometer of ice and designed to search for the nearly massless neutrinos. An international group of scientists is responsible for the scientific research that makes up the IceCube Collaboration.\n\nBy making the process faster and more precise, you'll help improve the reconstruction of neutrinos. As a result, we could gain a clearer image of our universe.\n\n**Files**\n\n* [train/test]_meta.parquet\n\n1. batch_id (int)\n2. event_id (int)\n3. first/last_pulse_index \n4. azimuth/zenith\n\n* [train/test]/batch_[n].parquet \n\nEach batch contains tens of thousands of events. Each event may contain thousands of pulses, each of which is the digitized output from a photomultiplier tube and occupies one row.\n\n1. event_id \n2. time\n3. sensor_id \n4. charge ns\n5. auxiliary\n\n* sample_submission.parquet \n\nAn example submission with the correct columns and properly ordered event IDs.\n\n* sensor_geometry.csv\n\n    x = cos(azimuth) * sin(zenith)\n    y = sin(azimuth) * sin(zenith)\n    z = cos(zenith)","metadata":{}},{"cell_type":"markdown","source":"<a id='1'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Initialization</p>\n","metadata":{}},{"cell_type":"markdown","source":"In this section data related setup will be addressed which includes the following:\n\n1. Importing modules which will be used across notebooks\n2. Data Loading:\n    * Loading diffrent type of files and data such as Parquet Files for .\n        * Train Meta.\n        * Test Meta.\n    * Sensor Geometry CSV file that includes cartesion x, y, z co-ordinates.\n    * Sample Submission file to have quick look what an output file for submission looks like.\n    * Picking up a random batch file from train folder over 100s of batch files (Due to RAM Limitations).\n3. Sample dataframe display using `Head` method for a good feel of what we are dealing with.","metadata":{}},{"cell_type":"code","source":"# This Python 3 environment comes with many helpful analytics libraries installed\n# It is defined by the kaggle/python Docker image: https://github.com/kaggle/docker-python\n# For example, here's several helpful packages to load\n\nimport numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\nimport plotly_express as pe\nimport cufflinks as cf\ncf.go_offline()\nimport os\n# Input data files are available in the read-only \"../input/\" directory\n# For example, running this (by clicking run or pressing Shift+Enter) will list all files under the input directory\n# You can write up to 20GB to the current directory (/kaggle/working/) that gets preserved as output when you create a version using \"Save & Run All\" \n# You can also write temporary files to /kaggle/temp/, but they won't be saved outside of the current session","metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","_kg_hide-output":true,"execution":{"iopub.status.busy":"2023-01-23T17:20:31.000350Z","iopub.execute_input":"2023-01-23T17:20:31.001730Z","iopub.status.idle":"2023-01-23T17:20:31.016022Z","shell.execute_reply.started":"2023-01-23T17:20:31.001667Z","shell.execute_reply":"2023-01-23T17:20:31.014724Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"#adding seed \nnp.random.seed(333)\n\n#loading data\ntrain_meta_data = pd.read_parquet(os.path.join(\"/kaggle/input/icecube-neutrinos-in-deep-ice\", \"train_meta.parquet\"))\ntest_meta_data = pd.read_parquet(os.path.join(\"/kaggle/input/icecube-neutrinos-in-deep-ice\", \"test_meta.parquet\"))\nsensor_geo = pd.read_csv(os.path.join(\"/kaggle/input/icecube-neutrinos-in-deep-ice\", \"sensor_geometry.csv\"))\nsubmission = pd.read_parquet(os.path.join(\"/kaggle/input/icecube-neutrinos-in-deep-ice\", \"sample_submission.parquet\"))\ntrain_batch = pd.read_parquet(os.path.join(\"/kaggle/input/icecube-neutrinos-in-deep-ice\", \"train/batch_3.parquet\"))","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:20:31.017841Z","iopub.execute_input":"2023-01-23T17:20:31.018928Z","iopub.status.idle":"2023-01-23T17:21:11.887323Z","shell.execute_reply.started":"2023-01-23T17:20:31.018879Z","shell.execute_reply":"2023-01-23T17:21:11.885787Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"train_meta_data.head()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:21:11.889343Z","iopub.execute_input":"2023-01-23T17:21:11.889908Z","iopub.status.idle":"2023-01-23T17:21:11.910236Z","shell.execute_reply.started":"2023-01-23T17:21:11.889852Z","shell.execute_reply":"2023-01-23T17:21:11.909423Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"test_meta_data.head()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:21:11.911782Z","iopub.execute_input":"2023-01-23T17:21:11.912459Z","iopub.status.idle":"2023-01-23T17:21:11.923288Z","shell.execute_reply.started":"2023-01-23T17:21:11.912423Z","shell.execute_reply":"2023-01-23T17:21:11.922317Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"sensor_geo.head()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:21:11.925199Z","iopub.execute_input":"2023-01-23T17:21:11.925932Z","iopub.status.idle":"2023-01-23T17:21:11.938938Z","shell.execute_reply.started":"2023-01-23T17:21:11.925877Z","shell.execute_reply":"2023-01-23T17:21:11.937613Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"submission.head()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:21:11.941453Z","iopub.execute_input":"2023-01-23T17:21:11.942690Z","iopub.status.idle":"2023-01-23T17:21:11.966202Z","shell.execute_reply.started":"2023-01-23T17:21:11.942634Z","shell.execute_reply":"2023-01-23T17:21:11.964544Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"train_batch.head()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:21:11.968946Z","iopub.execute_input":"2023-01-23T17:21:11.969471Z","iopub.status.idle":"2023-01-23T17:21:11.996201Z","shell.execute_reply.started":"2023-01-23T17:21:11.969423Z","shell.execute_reply":"2023-01-23T17:21:11.994815Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id='2'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">EDA</p>\n\n\n\n`Exploratory Data Analysis` refers to the critical process of performing initial investigations on data so as to discover patterns,to spot anomalies,to test hypothesis and to check assumptions with the help of summary statistics and graphical representations.\n\nIn this section we will try to explore the contents of the data and will try to understand its behaviour with context to its labels\n\n\n<b> EDA Section is Divided into Three Categories</b>\n\n1. Sensor Data EDA.\n2. Train Meta Data EDA.\n3. Train Batch Data EDA.","metadata":{}},{"cell_type":"markdown","source":"<a id='dd'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Data Description</p>\n\nThe `describe()` method returns description of the data in the DataFrame.\n\nIf the DataFrame contains numerical data, the description contains these information for each column:\n\n    count - The number of not-empty values.\n    mean - The average (mean) value.\n    std - The standard deviation.\n    min - the minimum value.\n    25% - The 25% percentile*.\n    50% - The 50% percentile*.\n    75% - The 75% percentile*.\n    max - the maximum value.","metadata":{}},{"cell_type":"code","source":"test_meta_data.describe()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:22:59.808827Z","iopub.execute_input":"2023-01-23T17:22:59.809420Z","iopub.status.idle":"2023-01-23T17:23:00.124191Z","shell.execute_reply.started":"2023-01-23T17:22:59.809326Z","shell.execute_reply":"2023-01-23T17:23:00.123033Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"# Data Info\n\nThis method prints information about a DataFrame including the following :\n\n    index dtype.\n    columns.\n    non-null values.\n    memory usage.","metadata":{}},{"cell_type":"code","source":"test_meta_data.info()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:23:22.053441Z","iopub.execute_input":"2023-01-23T17:23:22.053886Z","iopub.status.idle":"2023-01-23T17:23:22.072099Z","shell.execute_reply.started":"2023-01-23T17:23:22.053850Z","shell.execute_reply":"2023-01-23T17:23:22.070806Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id='cmv'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Checking for Missing Value</p>\n\n`DataFrame.isnull` is an alias for `DataFrame.isna`.\n\nDetect missing values.\n\nReturns a boolean same-sized object indicating if the values are `NA`. `NA` values, such as None or `numpy.NaN`, gets mapped to `True` values. Everything else gets mapped to `False` values. \n\n`Characters` such as empty strings '' or `numpy.inf` are not considered `NA` values ","metadata":{}},{"cell_type":"code","source":"test_meta_data.isnull().sum()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:23:31.669078Z","iopub.execute_input":"2023-01-23T17:23:31.669536Z","iopub.status.idle":"2023-01-23T17:23:31.680445Z","shell.execute_reply.started":"2023-01-23T17:23:31.669500Z","shell.execute_reply":"2023-01-23T17:23:31.678948Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"sensor_geo.isnull().sum()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:23:34.211727Z","iopub.execute_input":"2023-01-23T17:23:34.212168Z","iopub.status.idle":"2023-01-23T17:23:34.222404Z","shell.execute_reply.started":"2023-01-23T17:23:34.212131Z","shell.execute_reply":"2023-01-23T17:23:34.221140Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`observation`:\nClearly we do not have any miising value, so let's get to next steps","metadata":{}},{"cell_type":"markdown","source":"<a id='sde'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Sensor Data EDA</p>","metadata":{}},{"cell_type":"markdown","source":"<a id='sdvc'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Sensor Data Visualization Cartesian</p>\n\n**Sensor Data Description**:\n\nThe x, y, and z positions for each of the 5160 IceCube sensors. The x, y, and z coordinates are in units of meters, with the origin at the center of the IceCube detector. The coordinate system is right-handed, and the z-axis points upwards when standing at the South Pole. You can convert from these coordinates to azimuth and zenith with the following formulas (here the vector (x,y,z) is normalized)\n\n\nThe 3-D Vector in Cartesian Plane can be represented as below:\n\n![image.png](attachment:4e0e66df-bbf2-4d36-af95-611aef22673c.png)","metadata":{},"attachments":{"4e0e66df-bbf2-4d36-af95-611aef22673c.png":{"image/png":"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"}}},{"cell_type":"code","source":"import plotly.graph_objects as go\n\n\nfig = go.Figure(data=[go.Surface(z=sensor_geo[[\"x\", \"y\", \"z\"]].values)])\nfig.update_traces(contours_z=dict(show=True, usecolormap=True,\n                                  highlightcolor=\"limegreen\", project_z=True))\nfig.update_layout(title='Ice Cube Sensor Data', autosize=True,\n                  scene_camera_eye=dict(x=2, y=.8, z=0.64),\n                  width=1000, height=500,\n                  margin=dict(l=65, r=50, b=65, t=90)\n)\n\nfig.show()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:23:41.895465Z","iopub.execute_input":"2023-01-23T17:23:41.896171Z","iopub.status.idle":"2023-01-23T17:23:42.058547Z","shell.execute_reply.started":"2023-01-23T17:23:41.896117Z","shell.execute_reply":"2023-01-23T17:23:42.057586Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"fig = pe.scatter_3d(sensor_geo, x='x', y='y', z='z',color='sensor_id')\nfig.update_layout(title='Ice Cube Sensor Data', autosize=True,\n                  scene_camera_eye=dict(x=2, y=.8, z=0.64),\n                  width=1000, height=500,\n                  margin=dict(l=65, r=50, b=65, t=90)\n)\nfig.show()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:23:53.796115Z","iopub.execute_input":"2023-01-23T17:23:53.796601Z","iopub.status.idle":"2023-01-23T17:23:54.800170Z","shell.execute_reply.started":"2023-01-23T17:23:53.796558Z","shell.execute_reply":"2023-01-23T17:23:54.798831Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id='sdvpc'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Sensor Data Visualization Polar Coordinates</p>\n\n\n***Polar Co-Ordinates***:\n\n3d polar coordinates or spherical coordinates will have three parameters: distance from the origin and two angles.\n\nThe 3d-polar coordinate can be written as (r, Φ, θ).\n\nHere,\n\n    R = distance of from the origin\n\n    Φ = the reference angle from XY-plane (in a counter-clockwise direction from the x-axis)\n\n    θ = the reference angle from z-axis\n    \n    \nRepresentation of the Polar Co-Ordinates are described as below:\n\n![image.png](attachment:e260d663-2b49-4494-80f0-92d3ca3c6013.png)","metadata":{},"attachments":{"e260d663-2b49-4494-80f0-92d3ca3c6013.png":{"image/png":"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"}}},{"cell_type":"code","source":"np.random.seed(333)\n\ndata = sensor_geo[[\"x\", \"y\", \"z\"]]\nsensor_geo[\"r\"] = np.sqrt(data.x**2  + data.y**2 + data.z**2)\nsensor_geo[\"phi\"] = np.arctan(data.y/data.x)\nsensor_geo[\"theta\"] = np.arccos(data.z/sensor_geo.r)","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:24:03.829834Z","iopub.execute_input":"2023-01-23T17:24:03.830265Z","iopub.status.idle":"2023-01-23T17:24:03.849799Z","shell.execute_reply.started":"2023-01-23T17:24:03.830228Z","shell.execute_reply":"2023-01-23T17:24:03.848122Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"np.random.seed(333)\n\nfig = go.Figure(data=[go.Surface(z=sensor_geo[[\"r\", \"phi\", \"theta\"]].values)])\nfig.update_traces(contours_z=dict(show=True, usecolormap=True,\n                                  highlightcolor=\"limegreen\", project_z=True))\nfig.update_layout(title='Ice Cube Sensor Data', autosize=False,\n                  scene_camera_eye=dict(x=2, y=.8, z=0.64),\n                  width=1000, height=500,\n                  margin=dict(l=65, r=50, b=65, t=90)\n)\n\nfig.show()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:24:08.828694Z","iopub.execute_input":"2023-01-23T17:24:08.829875Z","iopub.status.idle":"2023-01-23T17:24:08.890811Z","shell.execute_reply.started":"2023-01-23T17:24:08.829827Z","shell.execute_reply":"2023-01-23T17:24:08.889447Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id='rd'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Radius Distribution</p>","metadata":{}},{"cell_type":"code","source":"np.random.seed(333)\n\nsensor_geo[[\"r\"]].head(10000).iplot(kind='hist', xTitle = \"Radius\", yTitle=\"Freq\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:24:22.361610Z","iopub.execute_input":"2023-01-23T17:24:22.362050Z","iopub.status.idle":"2023-01-23T17:24:22.547476Z","shell.execute_reply.started":"2023-01-23T17:24:22.362016Z","shell.execute_reply":"2023-01-23T17:24:22.546237Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`:\n\nRadius of the polar co-ordinates extracted shows normal distribution from sensor data.\n\n The Formula for the Normal Distribution\n\n![image.png](attachment:b7ac97e5-93d4-4c1a-9cb5-16a98181a14c.png)\n\n\nwhere:\n\n    x = value of the variable or data being examined and f(x) the probability function\n    μ = the mean\n    σ = the standard deviation\n","metadata":{},"attachments":{"b7ac97e5-93d4-4c1a-9cb5-16a98181a14c.png":{"image/png":"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"}}},{"cell_type":"markdown","source":"<a id='td'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Theta Distribution</p>","metadata":{}},{"cell_type":"code","source":"np.random.seed(333)\n\nsensor_geo[[\"theta\"]].head(10000).iplot(kind='hist', xTitle = \"Theta\", yTitle=\"Freq\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:27:47.778630Z","iopub.execute_input":"2023-01-23T17:27:47.779316Z","iopub.status.idle":"2023-01-23T17:27:47.906098Z","shell.execute_reply.started":"2023-01-23T17:27:47.779274Z","shell.execute_reply":"2023-01-23T17:27:47.904856Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation` : \n\n![image.png](attachment:374bac7a-f992-4410-96b0-7b4c65f8997a.png)\n\nTheta shows behaviour or Multi model distrubution whixh is a a set of data in which there is more than one mode or score that occurs most frequently. 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"}}},{"cell_type":"markdown","source":"<a id='pd'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Phi Distribution</p>","metadata":{}},{"cell_type":"code","source":"np.random.seed(333)\n\nsensor_geo[[\"phi\"]].head(10000).iplot(kind='hist', xTitle = \"Phi\", yTitle=\"Freq\", bins = 10)","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:32:53.822185Z","iopub.execute_input":"2023-01-23T17:32:53.822671Z","iopub.status.idle":"2023-01-23T17:32:53.953030Z","shell.execute_reply.started":"2023-01-23T17:32:53.822635Z","shell.execute_reply":"2023-01-23T17:32:53.951550Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation` : Similarly as Radius , Phi also shows the nature of Normal distribution in its data.","metadata":{}},{"cell_type":"markdown","source":"<a id='tmde'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Train Meta Data EDA</p>","metadata":{}},{"cell_type":"markdown","source":"<a id='tmd'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Train Meta Data</p>","metadata":{}},{"cell_type":"code","source":"import matplotlib.pyplot as plt\nnp.random.seed(333)\n\ntrain_meta_data.head(10000)[['last_pulse_index']].iplot(kind='hist',bins = 100, xTitle=\"last_pulse_index\", yTitle = \"Frequency\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:34:15.747840Z","iopub.execute_input":"2023-01-23T17:34:15.749040Z","iopub.status.idle":"2023-01-23T17:34:15.934699Z","shell.execute_reply.started":"2023-01-23T17:34:15.748991Z","shell.execute_reply":"2023-01-23T17:34:15.933693Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"np.random.seed(333)\n\ntrain_meta_data.head(10000)[['first_pulse_index']].iplot(kind='hist', bins = 100, xTitle=\"first_pulse_index\", yTitle = \"Frequency\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:34:29.774905Z","iopub.execute_input":"2023-01-23T17:34:29.775313Z","iopub.status.idle":"2023-01-23T17:34:29.962963Z","shell.execute_reply.started":"2023-01-23T17:34:29.775281Z","shell.execute_reply":"2023-01-23T17:34:29.961620Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id='rbfl'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Relation Between  first_pulse_index & last_pulse_index</p>","metadata":{}},{"cell_type":"code","source":"np.random.seed(333)\n\ntrain_meta_data.head(10000)[['first_pulse_index', 'last_pulse_index']].iplot(kind='line', x='first_pulse_index', y='last_pulse_index', xTitle=\"first_pulse_index\", yTitle = \"last_pulse_index\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:34:47.911254Z","iopub.execute_input":"2023-01-23T17:34:47.911697Z","iopub.status.idle":"2023-01-23T17:34:47.985310Z","shell.execute_reply.started":"2023-01-23T17:34:47.911661Z","shell.execute_reply":"2023-01-23T17:34:47.984021Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`: \n\nBoth First Pulse Index and Last Pulse Index are growing with linear tragectory, which means if the First pulse index changes the last pulse will be changing as well with similar linearity.","metadata":{}},{"cell_type":"code","source":"np.random.seed(333)\n\ntrain_meta_data[\"diff\"] = train_meta_data[\"last_pulse_index\"] - train_meta_data[\"first_pulse_index\"]\ntrain_meta_data[\"diff\"].head(10000).iplot(kind='hist', bins=500, xTitle=\"Diff\", yTitle = \"Freq\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:34:52.457483Z","iopub.execute_input":"2023-01-23T17:34:52.458325Z","iopub.status.idle":"2023-01-23T17:34:54.874435Z","shell.execute_reply.started":"2023-01-23T17:34:52.458262Z","shell.execute_reply":"2023-01-23T17:34:54.872962Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`:\n\nSince Both First Pulse Index and Last Pulse Index are growing with linear tragectory, we can clearly see the difference of the changes are very much negligible.","metadata":{}},{"cell_type":"markdown","source":"<a id='azd'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">azimuth & zenith Distribution</p>","metadata":{}},{"cell_type":"code","source":"np.random.seed(333)\n\ntrain_meta_data.head(10000)[[\"azimuth\", \"zenith\"]].iplot(kind='hist', xTitle=\"azimuth & zenith\", yTitle = \"Freq\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:38:31.859968Z","iopub.execute_input":"2023-01-23T17:38:31.860492Z","iopub.status.idle":"2023-01-23T17:38:32.209766Z","shell.execute_reply.started":"2023-01-23T17:38:31.860449Z","shell.execute_reply":"2023-01-23T17:38:32.208580Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id='tbd'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Train Batch Data Analysis</p>\n\nAs we picked up a Random Train Batch data as we can not use all of them (There are 100s ) because of the RAM limitation we can now observe behaviour and distribution and make an assesments and provide some insights\n\nStarting with :\n\n* Description\n* Info\n* Scatter Plots\n* Relation Line Plot\n* Given Auxiliary Behavious","metadata":{}},{"cell_type":"code","source":"train_batch.describe()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:39:02.309421Z","iopub.execute_input":"2023-01-23T17:39:02.310039Z","iopub.status.idle":"2023-01-23T17:39:06.466338Z","shell.execute_reply.started":"2023-01-23T17:39:02.309991Z","shell.execute_reply":"2023-01-23T17:39:06.465124Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"train_batch.info()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:39:06.468274Z","iopub.execute_input":"2023-01-23T17:39:06.468677Z","iopub.status.idle":"2023-01-23T17:39:06.482295Z","shell.execute_reply.started":"2023-01-23T17:39:06.468633Z","shell.execute_reply":"2023-01-23T17:39:06.480624Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"<a id = 'tbde'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Train Batch Data EDA</p>","metadata":{}},{"cell_type":"markdown","source":"<a id = 'rbct'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Relation Between Charge & Time</p>","metadata":{}},{"cell_type":"markdown","source":"## Scatter Plot","metadata":{}},{"cell_type":"code","source":"fig = pe.scatter(train_batch.head(2000), x='charge', y='time', size='charge', color='time',\n                    hover_data=['charge'])\nfig.update_layout(scene_zaxis_type=\"log\")\nfig.show()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:39:15.492938Z","iopub.execute_input":"2023-01-23T17:39:15.493348Z","iopub.status.idle":"2023-01-23T17:39:15.603335Z","shell.execute_reply.started":"2023-01-23T17:39:15.493315Z","shell.execute_reply":"2023-01-23T17:39:15.602119Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`:\n\nFrom the above chart we can observe the relating between Time and Charge as the Charge Descreases the Time tends to Increase , hense we can conclude that , In our case Time and Charge are inversly proportional.\n\nMathamatically,\n\nT = K/C  -- eq(1)\n\nT - Time\n\nC - Charge \n\nK = Poprotional Constant\n\n\n","metadata":{}},{"cell_type":"markdown","source":"## Line Plot","metadata":{}},{"cell_type":"code","source":"fig = pe.line(train_batch.head(10000), x='time', y='charge',  hover_data=['charge'])\nfig.update_layout(scene_zaxis_type=\"log\")\nfig.show()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:42:06.964816Z","iopub.execute_input":"2023-01-23T17:42:06.965435Z","iopub.status.idle":"2023-01-23T17:42:07.063322Z","shell.execute_reply.started":"2023-01-23T17:42:06.965394Z","shell.execute_reply":"2023-01-23T17:42:07.062195Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`:\n\nDue to above conclusion we can see the same results with Line plots","metadata":{}},{"cell_type":"markdown","source":"<a id='rbca'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Relation Between Charge & Auxiliary</p>","metadata":{}},{"cell_type":"code","source":"fig = pe.scatter(train_batch.head(10000), x='charge', y='auxiliary', size='charge', color='time',\n                    hover_data=['charge'])\nfig.update_layout(scene_zaxis_type=\"log\")\nfig.show()","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:43:01.742661Z","iopub.execute_input":"2023-01-23T17:43:01.743085Z","iopub.status.idle":"2023-01-23T17:43:01.917122Z","shell.execute_reply.started":"2023-01-23T17:43:01.743049Z","shell.execute_reply":"2023-01-23T17:43:01.915933Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`:\n\nAs per the distribution in above chart we can assume that the Auxiliary tends towards False as the Charge Increases.","metadata":{}},{"cell_type":"markdown","source":"<a id='adc'></a>\n\n# <p style=\"padding:10px;background-color:#bb8977;margin:10;color:white;font-family:newtimeroman;font-size:100%;text-align:center;border-radius: 1px 10px;overflow:hidden;font-weight:50\">Auxiliary Distribution Class</p>","metadata":{}},{"cell_type":"code","source":"train_batch.head(30000)[\"auxiliary\"].iplot(kind=\"hist\")","metadata":{"execution":{"iopub.status.busy":"2023-01-23T17:43:08.360918Z","iopub.execute_input":"2023-01-23T17:43:08.361393Z","iopub.status.idle":"2023-01-23T17:43:08.806387Z","shell.execute_reply.started":"2023-01-23T17:43:08.361341Z","shell.execute_reply":"2023-01-23T17:43:08.805076Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"`Observation`:\n\nAs from the sample of 30000 records we have seen more presense of `False` that `True` Auxiliary.","metadata":{}}]}