So sánh phương pháp

	Lập trình động	Học tăng cường sâu
Lĩnh vực	Tối ưu hóa	Học sâu
Họ	Process / pipeline	Machine learning
Năm ra đời	1957	2015
Người khởi xướng	Richard Bellman	Mnih, V. et al. (DQN)
Loại	Exact combinatorial optimization via recursive decomposition	Sequential decision-making (agent–environment interaction)
Công trình gốc	Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6	Mnih, V. et al. (2015). Human-Level Control through Deep Reinforcement Learning. Nature, 518, 529–533.
Tên gọi khác	DP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama	Derin Pekiştirmeli Öğrenme (DQN / PPO / A3C), derin pekiştirmeli öğrenme, deep RL, DRL
Liên quan	3	4
Tóm tắt	Dynamic Programming (DP) is an exact optimization technique introduced by Richard Bellman in 1957 for solving multi-stage decision problems. It decomposes a complex problem into simpler, overlapping subproblems, solves each subproblem once, and stores the results to avoid redundant computation. Grounded in the Principle of Optimality, DP guarantees globally optimal solutions whenever the problem exhibits overlapping subproblems and optimal substructure.	Deep Reinforcement Learning combines neural networks with reinforcement learning so an agent learns by interacting with an environment, popularised by Mnih and colleagues' 2015 Nature work on human-level Atari control. Instead of learning from a fixed labelled dataset, the agent takes actions, observes rewards, and gradually shapes a policy that maximises long-run return.