problems that solve themselves #shorts

ritvikmath · Intermediate ·⚡ Algorithms & Data Structures ·5y ago

Key Takeaways

The video discusses Genetic Algorithms, a problem-solving approach inspired by natural selection, where complex problems are solved through evolutionary processes.

Full Transcript

have you all ever heard of genetic algorithms they're basically this sort of magical way of solving complex problems where the problem actually just solves itself they're actually modeled after the way all living things evolve through natural selection all little gray dots you see are a hundred mice right now they have zero idea where they're going but after the first generation only the top fifty percent of mice survive based on how much food they got from their environment that means the next generation is a little bit better adapted to know where the food is and as time goes on we eventually arrive at a generation of mice which can always find a sufficient supply of food so why don't we just use this to solve all of our problems well as you might have noticed there's no guarantee of finding the best possible solution in this next simulation we take the environment to be a little bit more harsh so that only the top 25 percent survive they still settle on the plus one at the end of the day but take fewer generations to find it and finally here's a really harsh environment where only the top five percent of mice survive each generation and almost magically they're able to find that plus 10 best solution in no time at all

Original Description

aka: genetic algorithms
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1 Math Team Update
Math Team Update
ritvikmath
2 Single Variable Calculus Volume of a Sphere - Proof 1
Single Variable Calculus Volume of a Sphere - Proof 1
ritvikmath
3 Single Variable Calculus Volume of a Sphere - Proof 2
Single Variable Calculus Volume of a Sphere - Proof 2
ritvikmath
4 Multivariable Calculus Volume of a Sphere Proof - Triple Integrals
Multivariable Calculus Volume of a Sphere Proof - Triple Integrals
ritvikmath
5 Multivariable Calculus Volume of a Sphere Proof - Double Integrals
Multivariable Calculus Volume of a Sphere Proof - Double Integrals
ritvikmath
6 The Euclidian Algorithm
The Euclidian Algorithm
ritvikmath
7 Proving the Chain Rule
Proving the Chain Rule
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8 Proving the Fundamental Theorem of Calculus Part 1
Proving the Fundamental Theorem of Calculus Part 1
ritvikmath
9 Proving the Fundamental Theorem of Calculus Part 2
Proving the Fundamental Theorem of Calculus Part 2
ritvikmath
10 Math Puzzle - Poison Perplexity
Math Puzzle - Poison Perplexity
ritvikmath
11 Math Puzzle - Poison Perplexity - Solution
Math Puzzle - Poison Perplexity - Solution
ritvikmath
12 Expected Value and Variance of Continuous Random Variables (Calculus)
Expected Value and Variance of Continuous Random Variables (Calculus)
ritvikmath
13 Expected Value and Variance of Discrete Random Variables (No Calculus)
Expected Value and Variance of Discrete Random Variables (No Calculus)
ritvikmath
14 Array Method
Array Method
ritvikmath
15 Complex Power Series and their Derivatives
Complex Power Series and their Derivatives
ritvikmath
16 Distributions - Intro
Distributions - Intro
ritvikmath
17 The Poisson Distribution
The Poisson Distribution
ritvikmath
18 The Bernoulli Distribution
The Bernoulli Distribution
ritvikmath
19 The Binomial Distribution
The Binomial Distribution
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20 The Continuous Uniform Distribution
The Continuous Uniform Distribution
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21 The Geometric Distribution
The Geometric Distribution
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22 The Triangular Distribution
The Triangular Distribution
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23 The Exponential Distribution
The Exponential Distribution
ritvikmath
24 The Borel Distribution + Notes on Poisson Distribution
The Borel Distribution + Notes on Poisson Distribution
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25 The Gamma Distribution
The Gamma Distribution
ritvikmath
26 The Normal Distribution
The Normal Distribution
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27 The Laplace Distribution
The Laplace Distribution
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28 The Chi - Squared Distribution
The Chi - Squared Distribution
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29 Overfitting
Overfitting
ritvikmath
30 Vector Norms
Vector Norms
ritvikmath
31 Truths Behind the Titanic : K-Nearest Neighbor
Truths Behind the Titanic : K-Nearest Neighbor
ritvikmath
32 The Mathematics of Breakups
The Mathematics of Breakups
ritvikmath
33 Sillyfish
Sillyfish
ritvikmath
34 Finding Optimal Paths - Dynamic Programming
Finding Optimal Paths - Dynamic Programming
ritvikmath
35 HowToDataScience : Scraping Twitter Data
HowToDataScience : Scraping Twitter Data
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36 Decision Trees
Decision Trees
ritvikmath
37 Perceptron
Perceptron
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38 Naive Bayes
Naive Bayes
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39 K-Nearest Neighbor
K-Nearest Neighbor
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40 Evaluating Machine Learning Models
Evaluating Machine Learning Models
ritvikmath
41 Decision Tree Pruning
Decision Tree Pruning
ritvikmath
42 K-Means Clustering
K-Means Clustering
ritvikmath
43 Gaussian Mixture Model
Gaussian Mixture Model
ritvikmath
44 Data Science - Fuzzy Record Matching
Data Science - Fuzzy Record Matching
ritvikmath
45 Time Series Talk : Autocorrelation and Partial Autocorrelation
Time Series Talk : Autocorrelation and Partial Autocorrelation
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46 Time Series Talk : Autoregressive Model
Time Series Talk : Autoregressive Model
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47 Time Series Talk : Moving Average Model
Time Series Talk : Moving Average Model
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48 Time Series Talk : ARMA Model
Time Series Talk : ARMA Model
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49 Time Series Talk : ARCH Model
Time Series Talk : ARCH Model
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50 Time Series Talk : White Noise
Time Series Talk : White Noise
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51 Time Series Talk : Stationarity
Time Series Talk : Stationarity
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52 Time Series Talk : ARIMA Model
Time Series Talk : ARIMA Model
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53 Time Series Talk : Lag Operator
Time Series Talk : Lag Operator
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54 Time Series Talk : What is Seasonality ?
Time Series Talk : What is Seasonality ?
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55 Time Series Talk : Seasonal ARIMA Model
Time Series Talk : Seasonal ARIMA Model
ritvikmath
56 So ... What Actually is a Matrix ? : Data Science Basics
So ... What Actually is a Matrix ? : Data Science Basics
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57 Derivative of a Matrix : Data Science Basics
Derivative of a Matrix : Data Science Basics
ritvikmath
58 Basics of PCA (Principal Component Analysis) : Data Science Concepts
Basics of PCA (Principal Component Analysis) : Data Science Concepts
ritvikmath
59 Eigenvalues & Eigenvectors : Data Science Basics
Eigenvalues & Eigenvectors : Data Science Basics
ritvikmath
60 The Covariance Matrix : Data Science Basics
The Covariance Matrix : Data Science Basics
ritvikmath

This video introduces Genetic Algorithms, a problem-solving approach inspired by natural selection, where complex problems are solved through evolutionary processes. The algorithm is demonstrated through simulations, showcasing its ability to find optimal solutions in varying environments. By understanding Genetic Algorithms, viewers can apply optimization techniques to solve complex problems.

Key Takeaways
  1. Initialize a population of candidate solutions
  2. Evaluate the fitness of each candidate solution
  3. Select the fittest candidates to reproduce
  4. Apply genetic operators to create new offspring
  5. Repeat the process until a stopping criterion is met
💡 Genetic Algorithms can be used to solve complex problems by mimicking the process of natural selection, where the fittest candidates are selected to reproduce and create new offspring.

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