Hyper-parameter Tuning in Machine Learning

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Questions and Answers

How does a steeper line on a distance-time graph relate to the motion of an object?

  • Indicates the object is moving at a constant speed.
  • Indicates the object is moving faster. (correct)
  • Indicates the object is moving slower.
  • Indicates the object is accelerating.

On a distance-time graph, an object is not changing its position. Which type of line represents this?

  • A diagonal line sloping upwards.
  • A horizontal line. (correct)
  • A diagonal line sloping downwards.
  • A curved line.

What does a downward-sloping line on a distance-time graph signify?

  • The object is returning to the starting point. (correct)
  • The object is accelerating.
  • The object is moving at a constant speed.
  • The object is getting further away from the starting point.

If a car travels 200 meters in 10 seconds, what type of calculation would determine its average speed?

<p>Dividing the total distance by the total time. (A)</p>
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What is the relationship between 'force' and 'motion'?

<p>Force is a push or a pull that can cause a change in motion. (D)</p>
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What do balanced forces acting on an object indicate?

<p>There is no change in motion. (B)</p>
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Work is done when a force causes displacement. What condition must be met?

<p>The force and the motion of the object are in the same direction. (A)</p>
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What is the unit of work?

<p>Joules (J) (C)</p>
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What is 'speed' defined as?

<p>Distance over time. (A)</p>
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What is the unit of measurement for speed?

<p>Meter per second (m/s) (D)</p>
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What differentiates velocity from speed?

<p>Velocity includes direction. (A)</p>
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How is acceleration defined?

<p>Change in velocity over time. (D)</p>
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Which of Newton's Laws is also known as the 'Law of Inertia'?

<p>Newton's 1st Law (C)</p>
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What does Newton's second law of motion state?

<p>Force equals mass times acceleration (F=ma). (B)</p>
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What does Newton's third law of motion explain?

<p>For every action, there is an equal and opposite reaction. (D)</p>
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If a 5 kg object accelerates at 2 m/s^2, what is the force acting on it?

<p>10 N (A)</p>
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What is the net force when two forces of equal magnitude act in opposite directions on an object?

<p>Zero. (C)</p>
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A car's velocity changes from 20 m/s to 30 m/s in 5 seconds. What is the car's acceleration?

<p>2 m/s^2 (D)</p>
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If a person applies a force of 50 N to pull an object 10 meters, how much work is done?

<p>500 J (B)</p>
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In what scenario is the average speed equal to the instantaneous speed?

<p>When the object is moving with constant velocity. (B)</p>
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Flashcards

What is force?

A push or a pull.

What is Net Force?

The overall force acting on an object; add forces in the same direction, subtract opposite forces.

What are Balanced Forces?

No overall force on an object; results in no change in motion.

What are Unbalanced Forces?

Do not cancel each other out; results in a change in motion like starting, speeding up, slowing down.

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What is Work?

The transfer of energy through motion; Work = Force x Distance.

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What is a Joule (J)?

The unit of work, equivalent to Newton-meters (Nâ‹…m).

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What is motion?

An object's change in position.

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What is Speed?

Distance divided by time (Speed = distance/time).

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What is Average Speed?

Total distance over total time.

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What is Instantaneous Speed?

Specific speed at a specific instant in time.

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What is Velocity?

Speed AND direction (North, East, South, West).

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What is Acceleration?

Change in velocity over time (speed up, slow down; and/or change direction).

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Newton's 1st Law

An object at rest stays at rest, or an object in motion stays in motion unless another force acts on the object.

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Newton's 2nd Law

Force = Mass times Acceleration (F=ma).

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Newton's 3rd Law

For every action force, there is an equal and opposite reaction force.

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Study Notes

Lecture 25: The ART of Choosing Hyper-parameters

  • The lecture is about choosing hyper-parameters for machine learning models.
  • Key topics include what hyper-parameters are, why choosing the right ones matters.
  • Different methods: search, grid search, random search and Bayesian optimization.
  • Advantages and disadvantages of each method.

What are Hyper-parameters?

  • Hyper-parameters are set before learning begins (not learned from the data).
  • Examples: learning rate in gradient descent, number of hidden layers in a neural network, and regularization parameters in support vector machines.

Why Choose the Right Hyper-parameters?

  • Hyper-parameter choice significantly impacts model performance.
  • Poor hyper-parameters lead to improper learning or overfitting.

Methods for Choosing Hyper-parameters

  • Common methods include manual search, grid search, random search, and Bayesian optimization.
  • Simplest method: manually try different hyper-parameter values.
  • Evaluate the model's performance on a validation set.
  • Effective for small search spaces but can be time-consuming.
  • More systematic method: create a grid of possible hyper-parameter values.
  • Evaluate model performance for each value combination.
  • More efficient than manual search but time-consuming for large search spaces.
  • More efficient than grid search: randomly select hyper-parameter values.
  • Evaluate model performance for each combination.
  • Efficient as it avoids evaluating unlikely optimal combinations.

Bayesian Optimization

  • Sophisticated method: uses a probabilistic model to estimate performance for different value combinations.
  • Uses this model to select the next combination to evaluate.
  • More efficient than grid and random search but is more complex to implement.

Advantages and Disadvantages of Each Method

Method Advantages Disadvantages
Manual search Simple to implement Time-consuming, can be ineffective if the search space is large
Grid search More efficient than manual search Can be time-consuming if the search space is large
Random search More efficient than grid search Can be less effective than grid search if the search space is small
Bayesian optimization More efficient than grid search and random search, more complex to implement More complex to implement

Conclusion

  • Choosing the right hyper-parameters is vital in machine learning.
  • Methods vary in advantages/disadvantages, and the best method depends on the problem and resources.
  • **

Improving Hyperparameter Selection (ART)

  • Hyperparameter optimization aims to maximize performance on the dev set.
  • Hyperparameters are like "knobs" that tune the learning algorithm.

Hyperparameter Tuning

  • Use random values (Coarse -> Fine) if you have plentiful computational resources.
  • Intuition comes from the fact random search will find the most important hyperparameter.
  • Coarse to Fine involves zooming in on the best region after the first pass.

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