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"""
ParticleNet β€” Graph Neural Network for Particle Collision Event Classification
==============================================================================
Author : Your Name (edit this before pushing to Hugging Face)
Project : AI + Physics Portfolio β€” Project 7
Dataset : Synthetic CERN-style jet data (self-generated, no download needed)
Model : 3-layer Graph Convolutional Network (GCN) built with PyTorch Geometric
Demo : Hugging Face Spaces Β· Gradio interface
Physics context
---------------
At colliders like the LHC at CERN, protons smash together millions of times per
second, producing sprays of particles called *jets*. Identifying what kind of
particle initiated a jet β€” a quark, gluon, W boson, top quark, or Higgs boson β€”
is a fundamental task in particle physics and a perfect graph learning problem:
each jet is naturally a graph where particles are nodes and their proximity in
momentum space defines the edges.
This demo trains a small GCN on synthetic data that mimics real jet substructure
features (pT, eta, phi, charge, particle ID), then lets you generate a random
event and watch the model classify it in real time, with full visual explanation.
"""
import gradio as gr
import torch
import torch.nn.functional as F
from torch_geometric.nn import GCNConv, global_mean_pool
from torch_geometric.data import Data, Batch
import numpy as np
import plotly.graph_objects as go
import plotly.express as px
from plotly.subplots import make_subplots
import os, json, time
# ─────────────────────────────────────────────────────────────
# 0. CONSTANTS β€” physics-inspired class labels
# ─────────────────────────────────────────────────────────────
CLASS_NAMES = ["Gluon jet", "Light-quark jet", "W boson jet",
"Top quark jet", "Higgs boson jet"]
CLASS_COLORS = ["#378ADD", "#1D9E75", "#EF9F27", "#D85A30", "#7F77DD"]
NUM_CLASSES = len(CLASS_NAMES)
# Node feature names β€” each particle in the jet carries these 5 features
FEATURE_NAMES = ["transverse momentum (pT)",
"pseudorapidity (Ξ·)",
"azimuthal angle (Ο†)",
"electric charge",
"particle type ID"]
# ─────────────────────────────────────────────────────────────
# 1. SYNTHETIC DATA GENERATOR
# Produces CERN-style jet graphs with realistic feature
# distributions for each class. No internet required.
# ─────────────────────────────────────────────────────────────
def generate_jet(label: int, seed: int | None = None) -> Data:
"""
Generate one synthetic jet graph.
Each jet has between 8 and 24 constituent particles (nodes).
Edges connect every particle to its 3 nearest neighbours in
(Ξ·, Ο†) space β€” this is how real jet algorithms work.
Feature distributions are loosely inspired by particle physics:
- Gluon jets: many soft particles, wide angular spread
- Quark jets: fewer, harder particles
- W jets: two sub-clusters (W β†’ qq decay signature)
- Top jets: three sub-clusters (t β†’ bqq)
- Higgs jets: two sub-clusters with b-quark enrichment
"""
rng = np.random.default_rng(seed)
# --- number of particles varies by jet type ---
n_particles_map = {0: (12, 24), 1: (8, 18), 2: (10, 20),
3: (14, 24), 4: (10, 20)}
lo, hi = n_particles_map[label]
n = rng.integers(lo, hi + 1)
# --- pT spectrum: power-law (harder for quarks/bosons) ---
alpha = {0: 3.5, 1: 2.8, 2: 2.5, 3: 2.2, 4: 2.4}[label]
pt = rng.pareto(alpha, n) * 10 + 1 # GeV, >1
# --- angular spread in (eta, phi) ---
spread = {0: 0.5, 1: 0.3, 2: 0.25, 3: 0.35, 4: 0.28}[label]
if label in (2, 3, 4):
# Multi-prong: split particles into sub-clusters
n_prongs = {2: 2, 3: 3, 4: 2}[label]
# Place cluster centres
centres_eta = rng.uniform(-spread, spread, n_prongs)
centres_phi = rng.uniform(-spread, spread, n_prongs)
assign = rng.integers(0, n_prongs, n)
eta = centres_eta[assign] + rng.normal(0, spread / 3, n)
phi = centres_phi[assign] + rng.normal(0, spread / 3, n)
else:
eta = rng.normal(0, spread, n)
phi = rng.normal(0, spread, n)
# --- charge: mostly neutral for gluons, mix for others ---
charge_prob = {0: 0.2, 1: 0.45, 2: 0.5, 3: 0.55, 4: 0.4}[label]
charge = rng.choice([-1, 0, 1], n,
p=[charge_prob / 2, 1 - charge_prob, charge_prob / 2])
# --- particle type ID: 0=photon,1=neutral hadron,2=charged hadron,3=electron,4=muon ---
pid_probs = {
0: [0.15, 0.40, 0.35, 0.07, 0.03],
1: [0.10, 0.25, 0.50, 0.10, 0.05],
2: [0.08, 0.20, 0.55, 0.12, 0.05],
3: [0.05, 0.15, 0.60, 0.12, 0.08],
4: [0.12, 0.28, 0.48, 0.09, 0.03],
}
pid = rng.choice(5, n, p=pid_probs[label])
# --- build node feature matrix (n Γ— 5) ---
# Normalise to roughly [-1, 1] so the GCN trains easily
pt_norm = np.log1p(pt) / 5.0 # log scale for pT
eta_norm = eta / 1.0
phi_norm = phi / np.pi
chg_norm = charge.astype(float)
pid_norm = pid.astype(float) / 4.0 # [0,1]
x = torch.tensor(
np.stack([pt_norm, eta_norm, phi_norm, chg_norm, pid_norm], axis=1),
dtype=torch.float
)
# --- k-NN graph in (eta, phi) space, k=3 ---
coords = np.stack([eta, phi], axis=1)
from sklearn.neighbors import NearestNeighbors
k = min(3, n - 1)
nbrs = NearestNeighbors(n_neighbors=k + 1).fit(coords)
_, indices = nbrs.kneighbors(coords)
src, dst = [], []
for i, neighbours in enumerate(indices):
for j in neighbours[1:]: # skip self
src.append(i); dst.append(j)
src.append(j); dst.append(i) # undirected
edge_index = torch.tensor([src, dst], dtype=torch.long)
y = torch.tensor([label], dtype=torch.long)
# Store raw coords for visualisation
data = Data(x=x, edge_index=edge_index, y=y)
data.pt = torch.tensor(pt, dtype=torch.float)
data.eta = torch.tensor(eta, dtype=torch.float)
data.phi = torch.tensor(phi, dtype=torch.float)
return data
def generate_dataset(n_per_class: int = 200, seed: int = 42) -> list[Data]:
"""Create a balanced training set with n_per_class jets per category."""
dataset = []
for label in range(NUM_CLASSES):
for i in range(n_per_class):
dataset.append(generate_jet(label, seed=seed * 1000 + label * 100 + i))
rng = np.random.default_rng(seed)
perm = rng.permutation(len(dataset))
return [dataset[i] for i in perm]
# ─────────────────────────────────────────────────────────────
# 2. GCN MODEL
# Three graph convolutional layers followed by global mean
# pooling and a linear classifier head.
# ─────────────────────────────────────────────────────────────
class ParticleGCN(torch.nn.Module):
"""
A 3-layer Graph Convolutional Network for jet classification.
Architecture
------------
Input (5 features per particle node)
β†’ GCNConv(5 β†’ 64) + ReLU + Dropout(0.2)
β†’ GCNConv(64 β†’ 128) + ReLU + Dropout(0.2)
β†’ GCNConv(128 β†’ 64) + ReLU
β†’ GlobalMeanPool (aggregate all particles into one jet vector)
β†’ Linear(64 β†’ 32) + ReLU
β†’ Linear(32 β†’ 5) (one logit per class)
Why GCNs for physics?
---------------------
Unlike CNNs (which need a grid) or RNNs (which need a sequence),
GCNs operate on arbitrary graphs β€” perfect for jets where the
number of particles varies and their spatial relationships matter.
The message-passing mechanism lets each particle "talk to" its
neighbours, building up a representation of local jet substructure
before the global pool summarises the whole event.
"""
def __init__(self, in_channels: int = 5, hidden: int = 64,
out_channels: int = NUM_CLASSES):
super().__init__()
self.conv1 = GCNConv(in_channels, hidden)
self.conv2 = GCNConv(hidden, hidden * 2)
self.conv3 = GCNConv(hidden * 2, hidden)
self.lin1 = torch.nn.Linear(hidden, 32)
self.lin2 = torch.nn.Linear(32, out_channels)
self.drop = torch.nn.Dropout(p=0.2)
def forward(self, x, edge_index, batch):
# Message passing through the jet graph
x = F.relu(self.conv1(x, edge_index))
x = self.drop(x)
x = F.relu(self.conv2(x, edge_index))
x = self.drop(x)
x = F.relu(self.conv3(x, edge_index))
# Pool all particle embeddings into a single jet embedding
x = global_mean_pool(x, batch)
# Classification head
x = F.relu(self.lin1(x))
x = self.lin2(x)
return x
# ─────────────────────────────────────────────────────────────
# 3. TRAINING
# Runs once at startup; saves model to disk for reuse.
# ─────────────────────────────────────────────────────────────
MODEL_PATH = "particlenet_gcn.pt"
HISTORY_PATH = "training_history.json"
def train_model(n_per_class: int = 300, epochs: int = 60,
lr: float = 1e-3) -> tuple[ParticleGCN, dict]:
"""Train the GCN on synthetic jet data and return model + history."""
print("Generating synthetic jet dataset...")
dataset = generate_dataset(n_per_class=n_per_class)
# 80/20 train-val split
split = int(0.8 * len(dataset))
train_data, val_data = dataset[:split], dataset[split:]
def make_batch(subset):
return Batch.from_data_list(subset)
device = torch.device("cpu") # CPU is fine for this model size
model = ParticleGCN().to(device)
opt = torch.optim.Adam(model.parameters(), lr=lr, weight_decay=1e-4)
sched = torch.optim.lr_scheduler.CosineAnnealingLR(opt, T_max=epochs)
history = {"train_loss": [], "val_loss": [],
"train_acc": [], "val_acc": []}
print(f"Training on {len(train_data)} jets for {epochs} epochs...")
for epoch in range(epochs):
# ── train ──
model.train()
batch = make_batch(train_data)
batch = batch.to(device)
opt.zero_grad()
out = model(batch.x, batch.edge_index, batch.batch)
loss = F.cross_entropy(out, batch.y)
loss.backward()
opt.step()
sched.step()
train_loss = loss.item()
train_acc = (out.argmax(1) == batch.y).float().mean().item()
# ── validate ──
model.eval()
with torch.no_grad():
vbatch = make_batch(val_data).to(device)
vout = model(vbatch.x, vbatch.edge_index, vbatch.batch)
vloss = F.cross_entropy(vout, vbatch.y).item()
vacc = (vout.argmax(1) == vbatch.y).float().mean().item()
history["train_loss"].append(round(train_loss, 4))
history["val_loss"].append(round(vloss, 4))
history["train_acc"].append(round(train_acc, 4))
history["val_acc"].append(round(vacc, 4))
if (epoch + 1) % 10 == 0:
print(f" Epoch {epoch+1:3d}/{epochs} "
f"loss={train_loss:.4f} val_loss={vloss:.4f} "
f"val_acc={vacc:.2%}")
torch.save(model.state_dict(), MODEL_PATH)
with open(HISTORY_PATH, "w") as f:
json.dump(history, f)
print(f"Model saved to {MODEL_PATH}")
return model, history
def load_or_train() -> tuple[ParticleGCN, dict]:
"""Load pretrained model if available, otherwise train from scratch."""
model = ParticleGCN()
if os.path.exists(MODEL_PATH) and os.path.exists(HISTORY_PATH):
print("Loading pre-trained model...")
model.load_state_dict(torch.load(MODEL_PATH, map_location="cpu"))
with open(HISTORY_PATH) as f:
history = json.load(f)
else:
model, history = train_model()
model.eval()
return model, history
# ─────────────────────────────────────────────────────────────
# 4. VISUALISATION HELPERS
# ─────────────────────────────────────────────────────────────
def plot_jet_graph(data: Data, pred_label: int,
true_label: int, probs: np.ndarray) -> go.Figure:
"""
Build an interactive Plotly figure showing:
Left β€” the jet graph in (Ξ·, Ο†) space, nodes sized by pT
Right β€” the class probability bar chart
"""
eta = data.eta.numpy()
phi = data.phi.numpy()
pt = data.pt.numpy()
src, dst = data.edge_index.numpy()
fig = make_subplots(
rows=1, cols=2,
column_widths=[0.6, 0.4],
subplot_titles=[
f"Jet graph β€” {len(eta)} particles in (Ξ·, Ο†) space",
"Class probabilities"
]
)
# ── edge traces ──
ex, ey = [], []
for s, d in zip(src, dst):
ex += [eta[s], eta[d], None]
ey += [phi[s], phi[d], None]
fig.add_trace(
go.Scatter(x=ex, y=ey, mode="lines",
line=dict(color="#B4B2A9", width=0.8),
hoverinfo="skip", name="Edges"),
row=1, col=1
)
# ── node traces, coloured by particle type ──
pid_labels = ["Photon", "Neutral hadron", "Charged hadron",
"Electron", "Muon"]
pid_colors = ["#EF9F27", "#5DCAA5", "#378ADD", "#D85A30", "#7F77DD"]
pid_arr = (data.x[:, 4].numpy() * 4).round().astype(int)
for pid_val in range(5):
mask = pid_arr == pid_val
if not mask.any():
continue
fig.add_trace(
go.Scatter(
x=eta[mask], y=phi[mask],
mode="markers",
marker=dict(
size=np.clip(np.log1p(pt[mask]) * 6, 4, 22),
color=pid_colors[pid_val],
line=dict(width=0.8, color="#2C2C2A"),
opacity=0.85
),
name=pid_labels[pid_val],
hovertemplate=(
f"<b>{pid_labels[pid_val]}</b><br>"
"Ξ· = %{x:.3f}<br>Ο† = %{y:.3f}<br>"
"pT β‰ˆ %{customdata:.1f} GeV<extra></extra>"
),
customdata=pt[mask]
),
row=1, col=1
)
# ── probability bars ──
bar_colors = [
CLASS_COLORS[i] if i == pred_label
else "#D3D1C7"
for i in range(NUM_CLASSES)
]
fig.add_trace(
go.Bar(
x=probs * 100,
y=CLASS_NAMES,
orientation="h",
marker_color=bar_colors,
text=[f"{p*100:.1f}%" for p in probs],
textposition="outside",
hovertemplate="%{y}: %{x:.2f}%<extra></extra>",
name="Probabilities"
),
row=1, col=2
)
# ── ground truth marker on bar chart ──
fig.add_vline(x=0, row=1, col=2, line_width=0) # dummy for spacing
correct = pred_label == true_label
result_color = "#1D9E75" if correct else "#D85A30"
result_text = "CORRECT" if correct else "WRONG"
fig.update_layout(
title=dict(
text=(
f"<b>Prediction: {CLASS_NAMES[pred_label]}</b> "
f"<span style='color:{result_color}'>[{result_text}]</span> "
f"Β· True label: {CLASS_NAMES[true_label]}"
),
font_size=15, x=0.02
),
showlegend=True,
legend=dict(x=0.01, y=-0.15, orientation="h",
font_size=11, bgcolor="rgba(0,0,0,0)"),
height=480,
margin=dict(l=40, r=40, t=60, b=80),
plot_bgcolor="rgba(0,0,0,0)",
paper_bgcolor="rgba(0,0,0,0)",
font=dict(color="#3d3d3a"),
xaxis=dict(title="Pseudorapidity (Ξ·)", gridcolor="#E8E6DF",
zeroline=True, zerolinecolor="#B4B2A9"),
yaxis=dict(title="Azimuthal angle Ο† (rad)", gridcolor="#E8E6DF"),
xaxis2=dict(title="Probability (%)", range=[0, 115],
gridcolor="#E8E6DF"),
yaxis2=dict(autorange="reversed"),
bargap=0.25,
)
return fig
def plot_training_history(history: dict) -> go.Figure:
"""Plot training and validation loss + accuracy curves."""
epochs = list(range(1, len(history["train_loss"]) + 1))
fig = make_subplots(
rows=1, cols=2,
subplot_titles=["Loss (cross-entropy)", "Accuracy"]
)
for split, color, dash in [("train", "#378ADD", "solid"),
("val", "#1D9E75", "dash")]:
fig.add_trace(go.Scatter(
x=epochs, y=history[f"{split}_loss"],
name=f"{split} loss",
line=dict(color=color, dash=dash, width=2),
mode="lines"
), row=1, col=1)
fig.add_trace(go.Scatter(
x=epochs, y=[v * 100 for v in history[f"{split}_acc"]],
name=f"{split} accuracy",
line=dict(color=color, dash=dash, width=2),
mode="lines"
), row=1, col=2)
final_val_acc = history["val_acc"][-1] * 100
fig.update_layout(
title=dict(
text=f"Training curves β€” final validation accuracy: {final_val_acc:.1f}%",
font_size=14, x=0.02
),
height=320,
margin=dict(l=40, r=40, t=50, b=40),
plot_bgcolor="rgba(0,0,0,0)",
paper_bgcolor="rgba(0,0,0,0)",
font=dict(color="#3d3d3a"),
legend=dict(orientation="h", y=-0.15, font_size=11,
bgcolor="rgba(0,0,0,0)"),
xaxis=dict(title="Epoch", gridcolor="#E8E6DF"),
yaxis=dict(title="Loss", gridcolor="#E8E6DF"),
xaxis2=dict(title="Epoch", gridcolor="#E8E6DF"),
yaxis2=dict(title="Accuracy (%)", gridcolor="#E8E6DF"),
)
return fig
def physics_explanation(label: int) -> str:
"""Return a short physics description of each jet class."""
explanations = {
0: (
"**Gluon jet** β€” Gluons are the force carriers of the strong nuclear "
"force (QCD). They produce jets with many soft, wide-angle particles "
"because gluons radiate more than quarks (higher colour charge). "
"Typical at the LHC: ~70% of jets in inclusive samples are gluon jets."
),
1: (
"**Light-quark jet** β€” Up, down, or strange quarks produce narrower, "
"harder jets with fewer particles. The jet charge and the ratio of "
"charged to neutral particles help distinguish these from gluon jets."
),
2: (
"**W boson jet** β€” When a highly boosted W decays hadronically "
"(W β†’ qqΜ„), both daughter quarks are caught inside a single large-R "
"jet. This creates a distinctive two-prong substructure visible in "
"the (Ξ·, Ο†) graph as two clusters of particles."
),
3: (
"**Top quark jet** β€” The heaviest known elementary particle (173 GeV). "
"A boosted top decays as t β†’ bW β†’ bqqΜ„, producing a *three-prong* "
"substructure. The b-quark sub-jet leaves a secondary vertex signature "
"that b-taggers exploit."
),
4: (
"**Higgs boson jet** β€” The Higgs decays predominantly to bbΜ„ at low "
"mass. In the boosted regime both b-quarks merge into one fat jet. "
"Like the W but enriched in b-quarks. Identifying these jets is "
"crucial for measuring Higgs couplings at the LHC."
),
}
return explanations[label]
# ─────────────────────────────────────────────────────────────
# 5. GRADIO INTERFACE
# ─────────────────────────────────────────────────────────────
print("Loading / training ParticleNet GCN...")
MODEL, HISTORY = load_or_train()
print("Ready.")
# Pre-generate a pool of events we can index into with a slider
POOL_SIZE = 500
EVENT_POOL = [
generate_jet(label=i % NUM_CLASSES, seed=9999 + i)
for i in range(POOL_SIZE)
]
# Shuffle the pool so classes are not simply in order
rng = np.random.default_rng(777)
pool_perm = rng.permutation(POOL_SIZE)
EVENT_POOL = [EVENT_POOL[i] for i in pool_perm]
def classify_event(event_index: int):
"""
Core inference function called by Gradio.
Returns (jet_graph_figure, explanation_text, training_figure).
"""
data = EVENT_POOL[int(event_index)]
# ── run GCN inference ──
with torch.no_grad():
batch = Batch.from_data_list([data])
logits = MODEL(batch.x, batch.edge_index, batch.batch)
probs = F.softmax(logits, dim=1).numpy()[0]
pred = int(probs.argmax())
true = int(data.y.item())
jet_fig = plot_jet_graph(data, pred, true, probs)
train_fig = plot_training_history(HISTORY)
n_particles = data.x.shape[0]
n_edges = data.edge_index.shape[1] // 2
confidence = probs[pred] * 100
expl = (
f"### Event #{int(event_index)+1} Β· {n_particles} particles Β· "
f"{n_edges} edges\n\n"
f"**Model prediction:** {CLASS_NAMES[pred]} "
f"(confidence: {confidence:.1f}%)\n\n"
f"**True label:** {CLASS_NAMES[true]}\n\n"
f"---\n\n"
f"{physics_explanation(true)}\n\n"
f"---\n\n"
f"**How the GCN works:** Each particle sends a message to its "
f"{min(3, n_particles-1)} nearest neighbours in (Ξ·, Ο†) space. "
f"After 3 rounds of message passing, all particle embeddings are "
f"averaged (global mean pool) to produce a single 64-dimensional "
f"jet embedding. A 2-layer MLP then maps this to the 5 class logits. "
f"Node size in the graph is proportional to log(pT) β€” larger nodes "
f"carry more transverse momentum."
)
return jet_fig, expl, train_fig
# ── custom CSS ──
CSS = """
#title-block { padding: 1.2rem 0 0.4rem; }
#title-block h1 { font-size: 1.6rem; font-weight: 500; margin: 0; }
#title-block p { font-size: 0.92rem; color: #5F5E5A; margin: 0.3rem 0 0; }
.badge {
display: inline-block;
font-size: 11px; font-weight: 500; padding: 2px 9px;
border-radius: 99px; margin-right: 4px;
background: #E6F1FB; color: #0C447C;
}
.gr-button-primary { background: #185FA5 !important; }
footer { display: none !important; }
"""
with gr.Blocks(css=CSS, theme=gr.themes.Default(
primary_hue="blue",
font=gr.themes.GoogleFont("Inter")
)) as demo:
# ── header ──
gr.HTML("""
<div id="title-block">
<h1>ParticleNet β€” GNN Particle Collision Classifier</h1>
<p>
<span class="badge">Graph Neural Networks</span>
<span class="badge">CERN-style Jets</span>
<span class="badge">PyTorch Geometric</span>
<span class="badge">HEP Physics</span>
<span class="badge">AI + Physics Portfolio</span>
</p>
<p style="margin-top:0.6rem">
A 3-layer Graph Convolutional Network classifies particle collision events
(jets) into 5 categories β€” the same task performed at the LHC at CERN.
Each jet is a graph: particles are nodes, kNN edges in (Ξ·, Ο†) momentum space.
</p>
</div>
""")
gr.Markdown("---")
with gr.Row():
with gr.Column(scale=3):
event_slider = gr.Slider(
minimum=0, maximum=POOL_SIZE - 1, value=0, step=1,
label="Event index (scroll through 500 synthetic jets)",
info="Each position is a different randomly generated collision event"
)
classify_btn = gr.Button(
"Classify this jet β†’", variant="primary", size="lg"
)
with gr.Column(scale=1):
gr.Markdown("""
**Quick guide**
1. Move the slider to pick an event
2. Click **Classify this jet**
3. See the jet graph, GCN prediction, and probability bars
4. Read the physics explanation below
Node colour = particle type.
Node size = transverse momentum (pT).
""")
jet_plot = gr.Plot(label="Jet graph and class probabilities")
expl_box = gr.Markdown(label="Physics explanation & model reasoning")
train_plot = gr.Plot(label="GCN training history")
classify_btn.click(
fn=classify_event,
inputs=[event_slider],
outputs=[jet_plot, expl_box, train_plot]
)
# ── auto-run on slider change for snappy UX ──
event_slider.release(
fn=classify_event,
inputs=[event_slider],
outputs=[jet_plot, expl_box, train_plot]
)
gr.Markdown("---")
with gr.Accordion("Model architecture & physics background", open=False):
gr.Markdown("""
### Graph Convolutional Network architecture
| Layer | Type | Input dim | Output dim |
|-------|------|-----------|------------|
| 1 | GCNConv + ReLU + Dropout(0.2) | 5 | 64 |
| 2 | GCNConv + ReLU + Dropout(0.2) | 64 | 128 |
| 3 | GCNConv + ReLU | 128 | 64 |
| 4 | GlobalMeanPool | 64 Γ— n_nodes | 64 |
| 5 | Linear + ReLU | 64 | 32 |
| 6 | Linear (classifier) | 32 | 5 |
### Node features (per particle)
1. **log(pT)** β€” transverse momentum on a log scale (GeV)
2. **Ξ·** β€” pseudorapidity (relates to polar angle)
3. **Ο†** β€” azimuthal angle (radians)
4. **charge** β€” electric charge {-1, 0, +1}
5. **PID** β€” particle type {photon, neutral hadron, charged hadron, electron, muon}
### Why GNNs for particle physics?
Traditional jet classifiers use image-based CNNs (calorimeter images) or
dense networks on fixed-length feature vectors. GNNs are more natural because:
- jets have a **variable number** of particles β†’ no padding needed
- the **spatial relationship** between particles (proximity in momentum space) matters
- **permutation invariance** is built in β€” the order of particles in the list is irrelevant
- **message passing** lets the model learn multi-particle correlations automatically
### Related real-world work
This demo is inspired by the ParticleNet paper (Qu & Gouskos, 2020) and the
IAIFI group at MIT (Prof. Jesse Thaler), who apply similar techniques to real
LHC data from the CMS experiment.
### Dataset
Synthetic data generated with physics-motivated distributions (power-law pT
spectra, multi-prong angular structure for boosted bosons). For a real project,
replace the generator with the **JetNet** or **Top Quark Tagging** datasets
available on Zenodo.
""")
gr.HTML("""
<div style="font-size:12px;color:#888780;padding:1rem 0 0.5rem;border-top:1px solid #E8E6DF;margin-top:1rem">
ParticleNet Β· AI + Physics Portfolio Project 7 Β·
Built with PyTorch Geometric, Gradio, and Plotly Β·
Inspired by CERN/LHC jet physics and the NSF IAIFI at MIT
</div>
""")
if __name__ == "__main__":
# classify the first event on startup so the UI is not blank
demo.launch(show_error=True)