Some Visualizations
A collection of frontend interactive data.
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Probability
Random Variables
Interactive reference for discrete and continuous distributions with adjustable parameters.
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Probability
Normal Distribution & Variance
Interactive visualization of normal distribution curves and how variance controls spread.
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Probability
Beta Posterior
Bayesian inference on a coin's bias using the beta distribution, visualized across 150 sequential flips.
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Probability
Poisson Process
Arrivals over continuous time with adjustable rate λ, showing interarrival times and cumulative count.
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Probability
Central Limit Theorem
Watch sums of random variables converge to a normal distribution as sample size grows.
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Probability
Law of Large Numbers
Sample mean convergence with Markov, Chebyshev, and Chernoff bounds compared.
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Probability
Convolution
Animated flip-and-slide showing how the sum of two independent random variables produces a new distribution.
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Probability
Random Incidence
Why randomly sampling a process biases you toward longer intervals. Drop a pin and see the paradox.
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Probability
De Moivre-Laplace
The normal approximation to a binomial. Watch the PMF converge to a bell curve as n grows.
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Probability
Covariance
How covariance and correlation describe the tendency of two variables to move together.
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Probability
Bivariate Normals
3D surface and contour views of joint normal distributions with conditional slicing.
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Probability
Confidence Intervals
Run 100 experiments to see how confidence intervals capture the true parameter.
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Probability
Markov Chains
Interactive state diagram with animated random walks. Watch steady-state probabilities emerge.
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Optimization
Gradient Descent
Navigate loss landscapes with adjustable learning rate and watch convergence or divergence in real time.