You intend to use K-Means clustering algorithm to find relev…

You intend to use K-Means clustering algorithm to find relevant patterns in a training dataset of 2D points. The ideal result with three well defined clusters is shown in the left image below. However, after running the K-Means clustering with K=3 and random cluster initialization many times, you noticed that the result is frequently not correct and looks similar to the right image below. What could have caused this problem? Justify your answer.    

You are given a training dataset with labeled 2D points (dep…

You are given a training dataset with labeled 2D points (depicted as colored points in the images below). Each point is labeled as one of three classes: red, green, and blue. You then created two different K-Nearest Neighbor models, one using K=1 (left image below) and another using K=50 (right image below). The first model (K=1) has 100% accuracy in the training set. The second model (K=50) has 76.7% accuracy in the training set. Which model would you pick for a real-world application? Why?    

When you have an agent being trained with reinforcement lear…

When you have an agent being trained with reinforcement learning, it learns a policy that maximizes the reward obtained after interacting with the environment. In the example below, the agent must reach a star, and can move in four directions (up, down, left, right). If it moves towards the edge of the environment, nothing happens, but it still counts as a movement. The reward for any movement is equal to -1 and the agent stops moving as soon as it reaches a star. This reward function makes the agent learn to minimize the number of movements that are necessary to reach one of the stars from any initial state, as can be seen in the optimal policy. Random policy Optimal policy Now, assume the reward for a horizontal movement is -1, for a vertical movement is -100, and the discount factor is 1 (no discount). What would be the optimal policy in this case? Formatting suggestion for Canvas: Create a table with the same size of the grid above, and then use the letters UDLRN to indicate the directions Up, Down, Left, Right, and None. For each table cell, add all letters for actions that are part of the optimal policy. For instance, the optimal policy above would be formatted as: N L LDR D U LUR R N U LUR UR U

Explain the major mechanisms that are responsible for the in…

Explain the major mechanisms that are responsible for the increase in Vo2max that occurs after chronic endurance training. In your answer discuss some of the current recommendations for increasing Vo2Max and why this programming would allow for adaptations to occur. 

A professional cyclist is preparing for a stage race in a ho…

A professional cyclist is preparing for a stage race in a hot climate. The coach implements a heat acclimation protocol: Duration: 60 minutes/day for 10 days in a hot room Goal: Improve thermoregulation and reduce heat stress Monitoring: Heart rate, core temperature, sweat rate, and sodium concentration After 7 days, the athlete reports feeling more comfortable in the heat. Which of the following physiological changes would indicate successful heat acclimation?