# Questions tagged [monte-carlo-methods]

For questions related to the Monte Carlo methods in reinforcement learning and other AI sub-fields. ("Monte Carlo" refers to random sampling of the search space.)

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### MCTS: How to choose the final action from the root

When the time allotted to Monte Carlo tree search runs out, what action should be chosen from the root? The original UCT paper (2006) says bestAction in their ...
33 views

### Can I use my previous estimate of the state-action values as initialisation in GLIE-Monte Carlo Control?

I am trying to implement a tabular-based GLIE Monte-Carlo learning algorithm. So I repeat n times: create observations using my previous policy $\pi_{n-1}(s)$ update my state-action values using ...
228 views

### In Monte Carlo learning, what do you do when an end state is reached, after having recorded the previously visited states and taken actions?

When you train a model using Monte Carlo-based learning the state and action taken at each step is recorded, and then at some point an end state is reached and the agent receives some reward - what do ...
43 views

### How to show Monte Carlo methods converge to an estimate which minimizes mean squared error?

In chapter six of Sutton and Barto (p.128), they claim Monte Carlo methods converge to an estimate minimizing the mean squared error. How can this be shown formally? Bump
286 views

### How is Monte Carlo different from model-based methods?

I was going through an article where it is mentioned: The Monte-Carlo methods require only knowledge base (history/past experiences)—sample sequences of (states, actions and rewards) from the ...
204 views

### Why does GLIE+MC Control Algorithm use a single episode of Monte Carlo evaluation?

GLIE+MC control Algorithm: My question is why does this algorithm use only a single Monte Carlo episode (during PE step) to compute the $Q(s,a)$? In my understanding this has the following drawbacks: ...
115 views

### How to stop evaluation phase in reinforcement learning with epsilon-greedy Monte Carlo agent?

I have implemented an epsilon-greedy Monte Carlo reinforcement learning agent like suggested in Sutton and Barto's RL book (page 101). As far as I understood epsilon-greedy agents so far, the ...
78 views

### How do I know if the assumption of a static environment is made?

An important property of a reinforcement learning problem is whether the environment of the agent is static, which means that nothing changes if the agent remains inactive. Different learning methods ...
125 views

### Why is an average of all returns used to update the value in the first-visit MC control?

In Sutton & Barto's Reinforcement Learning: An Introduction, in page 83 (101 of the pdf), there is a description of first-visit MC control. In the phase where they update $Q(s, a)$, they do an ...
307 views

### What is the relation between Monte Carlo and model-free algorithms?

Monte Carlo (MC) methods are methods that use some form of randomness or sampling. For example, we can use an MC method to approximate the area of a circle inside a square: we generate random 2D ...
18 views

### How is GARB implemented in PGRD-DL to calculate gradients w.r.t. internal rewards?

In section 3 of this paper the author outlines how GARB was adapted to reduce the variance in updating parameters to an internal reward function estimator. I have read it a number of times and ...
1k views

### Monte-Carlo, every-visit gridworld, exploring starts, python code gets stuck in foreverloop in episode generation

I've been trying to implement policy improvement for Q(s,a) function as per Sutton&Barto reinforcement learning book. The original algorithm with first-visit MonteCarlo is pictured below. I ...
413 views

### Difficulty understanding Monte Carlo policy evaluation (state-value) for gridworld

I've been trying to read Sutton & Barto book chapter 5.1, but I'm still a bit confused about the procedure of using Monte Carlo policy evaluation (p.92), and now I just cant proceed anymore coding ...
112 views

### Why is Monte Carlo used as the tree search algorithm for AlphaGo?

Could a better algorithm other than Monte Carlo be used for the AlphaGo computer? Why didn't the DeepMind team think of choosing another kind of algorithm rather than spending time on their neural ...
80 views

### Similarities and differences between UCT algorithms in (i), (ii), (iii) and (iv)?

I am trying to understand the similarities and differences between: (i) the UCT algorithm in Kocsis and Szepesvári (2006); (ii) the UCT algorithm in Section 3.3 of Browne et al (2012); (iii) the MCTS ...
69 views

### Why didn't champion of the Go game manage to win the last game against AlphaGo, after winning the 4th one?

In the documentary about the match, it is said that after losing the 4th game, AlphaGo came back stronger and started to play in a weird way (not human-like) and it was pretty impossible to be beaten. ...
8k views

### What is the difference between First-Visit Monte-Carlo and Every-Visit Monte-Carlo Policy Evaluation?

I came across this 2 algorithms but I cannot understand the difference between these 2 both in terms of implementation as well as intuitionally. So what difference does the second point in both the ...
130 views

### How do temporal-difference and Monte Carlo methods work, if they do not have access to model?

In value iteration, we have a model of the environment's dynamics, i.e $p(s', r \mid s, a)$, which we use to update an estimate of the value function. In the case of temporal-difference and Monte ...
129 views

### Do we need the transition probability function when calculating the importance sampling ratio?

I am reading the book titled "Reinforcement Learning: An Introduction" (by Sutton and Barto). I am at chapter 5, which is about Monte Carlo methods, but now I am quite confused. There is one thing I ...
In slide 16 of his lecture 5 of the course "Reinforcement Learning", David Silver introduced GLIE Monte-Carlo Control. But why is it an on-policy control? The sampling follows a policy $\pi$ while ...