How do Chess Engines work? Looking at Stockfish and AlphaZero | Oliver Zeigermann

Discover how chess engines work, with a focus on Stockfish and AlphaZero. Learn about reinforcement learning approach and neural networks.

Key takeaways
  • Chess engines use reinforcement learning to play chess, with AlphaZero being a notable example.
  • AlphaZero’s evaluation function is not based on handcrafted features, but rather learned from data.
  • The model uses a neural network to predict the best move, with the output being a probability distribution over possible moves.
  • The model is trained by playing games against itself, with the reward being the outcome of the game.
  • The model can learn to play chess at a superhuman level, surpassing even the strongest human players.
  • The model’s strength comes from its ability to explore a vast search space, making it a formidable opponent.
  • The model’s evaluation function is not perfect, but it is good enough to make it a strong player.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search space, making it a formidable opponent.
  • The model’s strength comes from its ability to learn from data, rather than being handcrafted.
  • The model’s ability to play chess at a superhuman level is due to its ability to explore a vast search