Problem Introduction
The multi-armed bandit (MAB) problem is a well-known challenge in reinforcement learning, decision-making, and probability theory. It involves an agent repeatedly choosing between multiple actions, each offering a reward from some fixed probability distribution. The goal is to maximize the return over a fixed number of time steps.
Origin of a Problem
The term "multi-armed bandit" originates from the analogy to a slot machine, often called a "one-armed bandit" due to its lever. In this scenario, imagine having multiple slot machines, or a slot machine that has multiple levers (arms), and each arm is associated with a distinct probability distribution for rewards. The goal is to maximize the return over a limited number of attempts by carefully choosing which lever to pull.
The Challenge
The MAB problem captures the challenge of balancing exploration and exploitation:
- Exploration: trying different arms to gather information about their payouts;
- Exploitation: pulling the arm that currently seems best to maximize immediate rewards.
A naive approach β playing a single arm repeatedly β might lead to suboptimal returns if a better arm exists but remains unexplored. Conversely, excessive exploration can waste resources on low-reward options.
Real-World Applications
While originally framed in gambling, the MAB problem appears in many fields:
- Online advertising: choosing the best ad to display based on user engagement;
- Clinical trials: testing multiple treatments to find the most effective one;
- Recommendation systems: serving the most relevant content to users.
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Problem Introduction
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The multi-armed bandit (MAB) problem is a well-known challenge in reinforcement learning, decision-making, and probability theory. It involves an agent repeatedly choosing between multiple actions, each offering a reward from some fixed probability distribution. The goal is to maximize the return over a fixed number of time steps.
Origin of a Problem
The term "multi-armed bandit" originates from the analogy to a slot machine, often called a "one-armed bandit" due to its lever. In this scenario, imagine having multiple slot machines, or a slot machine that has multiple levers (arms), and each arm is associated with a distinct probability distribution for rewards. The goal is to maximize the return over a limited number of attempts by carefully choosing which lever to pull.
The Challenge
The MAB problem captures the challenge of balancing exploration and exploitation:
- Exploration: trying different arms to gather information about their payouts;
- Exploitation: pulling the arm that currently seems best to maximize immediate rewards.
A naive approach β playing a single arm repeatedly β might lead to suboptimal returns if a better arm exists but remains unexplored. Conversely, excessive exploration can waste resources on low-reward options.
Real-World Applications
While originally framed in gambling, the MAB problem appears in many fields:
- Online advertising: choosing the best ad to display based on user engagement;
- Clinical trials: testing multiple treatments to find the most effective one;
- Recommendation systems: serving the most relevant content to users.
Thanks for your feedback!