Back in 2014, even basic machine learning classification problems were considered difficult. The Kaggle organization sponsors ML competitions, one of which in 2014 was called the Higgs Boson Challenge. See https://www.kaggle.com/c/higgs-boson. Note: I’m not particularly a fan of Kaggle and I don’t recommend them.
Briefly, the problem is simple binary classification. The training data consists of 250,000 items that are simulated high energy physics data. Each item has 30 numeric predictor variables. The class label to predict is either ‘b’ for background noise, or ‘s’ for a signal. Additionally, each data item has an ID, and a scoring weight used by Kaggle when evaluating contest entries.
In high energy particle physics research, physicists collide protons at nearly the speed of light. Sometimes, very rarely, the collisions produce exotic particles like the Higgs boson. But a Higgs boson particle decays almost instantly and produces photons and other particles which can be detected. The vast majority of the data collected is background noise (‘b’) that hides a real signal (‘s’) — roughly 300 signals per 100,000,000,000 background events — and so detection is very difficult. In 2014, the idea of using machine learning for Higgs boson detection was a new idea.
One morning, I was waiting for some work colleagues to respond to some email messages and so just for intellectual entertainment, I figured I’d look at the old Higgs boson data. First, I logged onto Kaggle and downloaded the Higgs training and test data in zipped format. I extracted just the 250,000 raw training items. The raw data looks like:
EventId, DER_mass_MMC, . . . PRI_jet_all_pt, Weight, Label 100000,138.47, . . . 113.497,0.00265331133733,s . . .
The first line is a header. For the data lines, the first column at [0] is an ID. Columns [1] to [30] are the predictor variable values. Column [31] is the special weight used by Kaggle for scoring. Column [32] is the class label, ‘s’ or ‘b’.
Many of the values in the raw data are -999.0 which indicates an invalid value. I didn’t want to use all 250,000 training items, so I wrote a utility program to extract the just first 1,000 training data items that didn’t have any invalid values.
Next, I normalized each of the 30 predictor variables by dividing by a constant. The 30 normalization constants I used were: 1000, 200, 500, 600, 10, 4000, 20, 10, 300, 1200, 20, 10, 1, 400, 10, 10, 400, 10, 10, 400, 10, 1200, 10, 600, 10, 10, 400, 10, 10, 1000. The constants were chosen so that all normalized values are between 0.0 and 1.0 (well, actually, a few of the raw values were negative so the normalized values are all between -1.0 and +1.0).
I encoded background as 0 and signal as 1. I formatted all normalized values to 8 decimal places. I saved the first 800 normalized and encoded data items as a training set, and the remaining 200 items as a test set. The resulting training data looks like:
# higgs_train_800.txt # EventId, DER_mass_MMC, . . . PRI_jet_all_pt, Weight, Label # 100000,0.13847000, . . . 0.11349700,0.00265331,1 100005,0.08974400, . . . 0.19366000,0.08341403,0 . . . 103004,0.13814900, . . . -0.30544500,0.00150187,1
My next step was to prepare a PyTorch binary classification neural network. First, I created a HiggsDataset class to read the data so that it could be served up in batches (I used size = 2 for my test). And then . . . my work colleagues started responding to my email messages and so I had to get back to work.
I’ll implement the rest of my Higgs boson binary classifier in PyTorch when I get a chance.
Here’s a nice diagram that explains how Higgs bosons are formed and detected. Click to enlarge.
Demo code:
# higgs_dataloader.py
# PyTorch 2.0.0-CPU Anaconda3-2022.10 Python 3.9.13
# Windows 10/11
import numpy as np
import torch as T
device = T.device('cpu') # apply to Tensor or Module
# ---------------------------------------------------------
class HiggsDataset(T.utils.data.Dataset):
# ID, 30 preds, kaggle wt, class 0 = back, 1 = sig
# [0] [1]-[30] [31] [32]
def __init__(self, src_file):
all_data = np.loadtxt(src_file, usecols=range(0,33),
delimiter=",", comments="#", dtype=np.float32)
self.id = T.tensor(all_data[:,0]).to(T.int64).to(device)
self.score_wt = T.tensor(all_data[:,31]).to(device)
self.x_data = T.tensor(all_data[:,1:31],
dtype=T.float32).to(device)
self.y_data = T.tensor(all_data[:,32],
dtype=T.float32).to(device) # float32 required
self.y_data = self.y_data.reshape(-1,1) # 2-D required
def __len__(self):
return len(self.x_data)
def __getitem__(self, idx):
id = self.id[idx]
score_wt = self.score_wt[idx]
feats = self.x_data[idx,:] # idx row, all cols
lbl = self.y_data[idx,:] # idx row, the only col
return (id, score_wt, feats, lbl) # as a Tuple
# ---------------------------------------------------------
def main():
# 1. create Dataset and DataLoader objects
print("\nCreating Higgs train and test Datasets ")
train_file = ".\\Data\\higgs_train_800.txt"
test_file = ".\\Data\\higgs_test_200.txt"
train_ds = HiggsDataset(train_file) # 800 rows
test_ds = HiggsDataset(test_file) # 200 rows
bat_size = 2
train_ldr = T.utils.data.DataLoader(train_ds,
batch_size=bat_size, shuffle=False)
for (batch_idx, batch) in enumerate(train_ldr):
if batch_idx == 3: break # show just first 3 batches
id = batch[0]
wt = batch[1]
X = batch[2] # [bs,30] inputs
y = batch[3] # [bs,1] targets
print("\nInputs: ")
print(X)
print("Target: ")
print(y)
print("\nEnd demo ")
if __name__== "__main__":
main()
Training data:
# higgs_train_800.txt # EventId,DER_mass_MMC,DER_mass_transverse_met_lep,DER_mass_vis,DER_pt_h,DER_deltaeta_jet_jet,DER_mass_jet_jet,DER_prodeta_jet_jet,DER_deltar_tau_lep,DER_pt_tot,DER_sum_pt,DER_pt_ratio_lep_tau,DER_met_phi_centrality,DER_lep_eta_centrality,PRI_tau_pt,PRI_tau_eta,PRI_tau_phi,PRI_lep_pt,PRI_lep_eta,PRI_lep_phi,PRI_met,PRI_met_phi,PRI_met_sumet,PRI_jet_num,PRI_jet_leading_pt,PRI_jet_leading_eta,PRI_jet_leading_phi,PRI_jet_subleading_pt,PRI_jet_subleading_eta,PRI_jet_subleading_phi,PRI_jet_all_pt,Weight,Label # ID, 30 predictors, kaggle weight, label: 0 = b = background/noise, 1 = s = signal # predictor normalization constants: 1000, 200, 500, 600, 10, 4000, 20, 10, 300, 1200, 20, 10, 1, 400, 10, 10, 400, 10, 10, 400, 10, 1200, 10, 600, 10, 10, 400, 10, 10, 1000 # 100000,0.13847000,0.25827500,0.19565400,0.04663333,0.09100000,0.03117775,0.13330000,0.30640000,0.13976000,0.16480000,0.07910000,0.13960000,0.20000000,0.08159500,0.10170000,0.03810000,0.12906500,0.22730000,-0.24140000,0.04206000,-0.02770000,0.21561083,0.20000000,0.11239167,0.21500000,0.04440000,0.11515500,0.12400000,-0.24750000,0.11349700,0.00265331,1 100005,0.08974400,0.06775000,0.11829800,0.19390667,0.26360000,0.07114600,-0.02700000,0.13620000,0.20539667,0.23239667,0.02940000,0.04790000,0.97500000,0.13412750,0.03710000,0.13290000,0.07891250,-0.08840000,0.18570000,0.10183750,0.22370000,0.23570750,0.30000000,0.15091167,-0.24120000,-0.06530000,0.14041250,0.02240000,0.31060000,0.19366000,0.08341403,0 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Test data:
# higgs_test_200.txt # EventId,DER_mass_MMC,DER_mass_transverse_met_lep,DER_mass_vis,DER_pt_h,DER_deltaeta_jet_jet,DER_mass_jet_jet,DER_prodeta_jet_jet,DER_deltar_tau_lep,DER_pt_tot,DER_sum_pt,DER_pt_ratio_lep_tau,DER_met_phi_centrality,DER_lep_eta_centrality,PRI_tau_pt,PRI_tau_eta,PRI_tau_phi,PRI_lep_pt,PRI_lep_eta,PRI_lep_phi,PRI_met,PRI_met_phi,PRI_met_sumet,PRI_jet_num,PRI_jet_leading_pt,PRI_jet_leading_eta,PRI_jet_leading_phi,PRI_jet_subleading_pt,PRI_jet_subleading_eta,PRI_jet_subleading_phi,PRI_jet_all_pt,Weight,Label # 103008,0.13745700,0.01509000,0.14934000,0.13617500,0.59540000,0.19394300,-0.44270000,0.26250000,0.00647333,0.13102583,0.05965000,0.08730000,0.82400000,0.08707000,-0.08390000,0.04160000,0.10390250,-0.12090000,0.30150000,0.17211500,0.30710000,0.10815083,0.20000000,0.08073667,-0.28770000,-0.02800000,0.08100250,0.30770000,-0.02780000,0.08084200,0.00150270,1 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