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KataGo Training Mechanism

This article provides an in-depth analysis of KataGo's training mechanism, helping you understand how self-play training works.


Training Overview

Training Loop

Initial model → Self-play → Collect data → Train update → Stronger model → Repeat

Animation correspondence:

  • E5 Self-play ↔ Fixed point convergence
  • E6 Strength curve ↔ S-curve growth
  • H1 MDP ↔ Markov chain

Hardware Requirements

Model ScaleGPU MemoryTraining Time
b6c964 GBSeveral hours
b10c1288 GB1-2 days
b18c38416 GB1-2 weeks
b40c25624 GB+Several weeks

Environment Setup

Install Dependencies

# Python environment
conda create -n katago python=3.10
conda activate katago

# PyTorch (CUDA version)
pip install torch torchvision torchaudio --index-url https://download.pytorch.org/whl/cu118

# Other dependencies
pip install numpy h5py tqdm tensorboard

Get Training Code

git clone https://github.com/lightvector/KataGo.git
cd KataGo/python

Training Configuration

Config File Structure

# configs/train_config.yaml

# Model architecture
model:
num_blocks: 10 # Number of residual blocks
trunk_channels: 128 # Trunk channel count
policy_channels: 32 # Policy head channels
value_channels: 32 # Value head channels

# Training parameters
training:
batch_size: 256
learning_rate: 0.001
lr_schedule: "cosine"
weight_decay: 0.0001
epochs: 100

# Self-play parameters
selfplay:
num_games_per_iteration: 1000
max_visits: 600
temperature: 1.0
temperature_drop_move: 20

# Data settings
data:
max_history_games: 500000
shuffle_buffer_size: 100000

Model Scale Reference

Namenum_blockstrunk_channelsParameters
b6c96696~1M
b10c12810128~3M
b18c38418384~20M
b40c25640256~45M

Animation correspondence:

  • F2 Network size vs strength: Capacity scaling
  • F6 Neural scaling laws: Log-log relationship

Training Process

Step 1: Initialize Model

# init_model.py
import torch
from model import KataGoModel

config = {
'num_blocks': 10,
'trunk_channels': 128,
'input_features': 22,
'policy_size': 362, # 361 + pass
}

model = KataGoModel(config)
torch.save(model.state_dict(), 'model_init.pt')
print(f"Model parameters: {sum(p.numel() for p in model.parameters()):,}")

Step 2: Self-Play Data Generation

# Compile C++ engine
cd ../cpp
mkdir build && cd build
cmake .. -DUSE_BACKEND=CUDA
make -j$(nproc)

# Run self-play
./katago selfplay \
-model ../python/model_init.pt \
-output-dir ../python/selfplay_data \
-config selfplay.cfg \
-num-games 1000

Self-play configuration (selfplay.cfg):

maxVisits = 600
numSearchThreads = 4

# Temperature settings (increase exploration)
chosenMoveTemperature = 1.0
chosenMoveTemperatureEarly = 1.0
chosenMoveTemperatureHalflife = 20

# Dirichlet noise (increase diversity)
rootNoiseEnabled = true
rootDirichletNoiseTotalConcentration = 10.83
rootDirichletNoiseWeight = 0.25

Animation correspondence:

  • C3 Exploration vs exploitation: Temperature parameter
  • E10 Dirichlet noise: Root exploration

Step 3: Train Neural Network

# train.py
import torch
from torch.utils.data import DataLoader
from model import KataGoModel
from dataset import SelfPlayDataset

# Load data
dataset = SelfPlayDataset('selfplay_data/')
dataloader = DataLoader(dataset, batch_size=256, shuffle=True)

# Load model
model = KataGoModel(config)
model.load_state_dict(torch.load('model_init.pt'))
model = model.cuda()

# Optimizer
optimizer = torch.optim.Adam(
model.parameters(),
lr=0.001,
weight_decay=0.0001
)

# Learning rate scheduler
scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(
optimizer,
T_max=100,
eta_min=0.00001
)

# Training loop
for epoch in range(100):
model.train()
total_loss = 0

for batch in dataloader:
inputs = batch['inputs'].cuda()
policy_target = batch['policy'].cuda()
value_target = batch['value'].cuda()
ownership_target = batch['ownership'].cuda()

# Forward pass
policy_pred, value_pred, ownership_pred = model(inputs)

# Compute loss
policy_loss = torch.nn.functional.cross_entropy(
policy_pred, policy_target
)
value_loss = torch.nn.functional.mse_loss(
value_pred, value_target
)
ownership_loss = torch.nn.functional.mse_loss(
ownership_pred, ownership_target
)

loss = policy_loss + value_loss + 0.5 * ownership_loss

# Backward pass
optimizer.zero_grad()
loss.backward()
torch.nn.utils.clip_grad_norm_(model.parameters(), 1.0)
optimizer.step()

total_loss += loss.item()

scheduler.step()
print(f"Epoch {epoch}: Loss = {total_loss / len(dataloader):.4f}")

# Save checkpoint
torch.save(model.state_dict(), f'model_epoch{epoch}.pt')

Animation correspondence:

  • D5 Gradient descent: optimizer.step()
  • K2 Momentum: Adam optimizer
  • K4 Learning rate decay: CosineAnnealingLR
  • K5 Gradient clipping: clip_grad_norm_

Step 4: Evaluation & Iteration

# Evaluate new model vs old model
./katago match \
-model1 model_epoch99.pt \
-model2 model_init.pt \
-num-games 100 \
-output match_results.txt

If new model win rate > 55%, replace old model and proceed to next iteration.


Loss Functions Explained

Policy Loss

# Cross-entropy loss
policy_loss = -sum(target * log(pred))

Goal: Make predicted probability distribution close to MCTS search results.

Animation correspondence:

  • J1 Policy entropy: Cross-entropy
  • J2 KL divergence: Distribution distance

Value Loss

# Mean squared error
value_loss = (pred - actual_result)^2

Goal: Predict final game result (win/loss/draw).

Ownership Loss

# Per-point ownership prediction
ownership_loss = mean((pred - actual_ownership)^2)

Goal: Predict final ownership of each position.


Advanced Techniques

1. Data Augmentation

Leverage board symmetry:

def augment_data(board, policy, ownership):
"""Data augmentation using D4 group's 8 transformations"""
augmented = []

for rotation in range(4):
for flip in [False, True]:
# Rotation and flip
aug_board = transform(board, rotation, flip)
aug_policy = transform(policy, rotation, flip)
aug_ownership = transform(ownership, rotation, flip)
augmented.append((aug_board, aug_policy, aug_ownership))

return augmented

Animation correspondence:

  • A9 Board symmetry: D4 group
  • L4 Data augmentation: Symmetry exploitation

2. Curriculum Learning

From simple to complex:

# Train with fewer search visits first
schedule = [
(100, 10000), # 100 visits, 10000 games
(200, 20000), # 200 visits, 20000 games
(400, 50000), # 400 visits, 50000 games
(600, 100000), # 600 visits, 100000 games
]

Animation correspondence:

  • E12 Training curriculum: Curriculum learning

3. Mixed Precision Training

from torch.cuda.amp import autocast, GradScaler

scaler = GradScaler()

with autocast():
policy_pred, value_pred, ownership_pred = model(inputs)
loss = compute_loss(...)

scaler.scale(loss).backward()
scaler.step(optimizer)
scaler.update()

4. Multi-GPU Training

import torch.distributed as dist
from torch.nn.parallel import DistributedDataParallel

# Initialize distributed
dist.init_process_group(backend='nccl')

# Wrap model
model = DistributedDataParallel(model)

Monitoring & Debugging

TensorBoard Monitoring

from torch.utils.tensorboard import SummaryWriter

writer = SummaryWriter('runs/training')

# Log losses
writer.add_scalar('Loss/policy', policy_loss, step)
writer.add_scalar('Loss/value', value_loss, step)
writer.add_scalar('Loss/total', total_loss, step)

# Log learning rate
writer.add_scalar('LR', scheduler.get_last_lr()[0], step)
tensorboard --logdir runs

Common Issues

IssuePossible CauseSolution
Loss not decreasingLearning rate too low/highAdjust learning rate
Loss oscillatingBatch size too smallIncrease batch size
OverfittingInsufficient dataGenerate more self-play data
Strength not improvingToo few search visitsIncrease maxVisits

Animation correspondence:

  • L1 Overfitting: Over-adaptation
  • L2 Regularization: weight_decay
  • D6 Learning rate effects: Tuning

Small-Scale Experiment Suggestions

If you just want to experiment, we recommend:

  1. Use 9×9 board: Dramatically reduces computation
  2. Use small model: b6c96 is enough for experiments
  3. Reduce search visits: 100-200 visits
  4. Fine-tune pretrained model: Faster than training from scratch
# 9×9 board settings
boardSize = 9
maxVisits = 100

Further Reading