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Featured Projects
\[ \begin{array}{c} \displaystyle \hat{\psi}_m := \frac{1}{m} \sum_{j \leq
m} I\big\{Y^{(j)} \in B\big\}\\[5px] \displaystyle \hat{\psi}_m \overset{m \,\to\, \infty}{\longrightarrow}
P\big(R \in lA\big) \end{array} \]
Turnip Market Price Prediction
A reverse-engineered rigorous price pattern prediction. Has a fully realized and
➣ keywords: Bayes theorem, law of total probability, Markov chain,
limit distribution, phase decomposition, UML diagram, interval intersection,
dependent random variables, Riemann sum, PDF transformation theorem, Monte Carlo estimation,
recursive convolution, fast Fourier transform, performance comparison, central limit theorem
\[ \begin{array}{c} \displaystyle (x,t) \overset{iid}{\sim} P_{\text{data}}\
unkn.\\[5px] \displaystyle \min_\vartheta\ \mathbb{E}\Big[
\mathcal{L}(f(x;\vartheta),\, t) \Big] \end{array} \]
Neural Networks From Scratch
A rigorous and from zero derivation of neural networks. Includes a
➣ keywords: activation function, n-layer perceptron, forward-pass
equation, loss function, training problem, stochastic gradient
descent, backpropagation, learning rate, AdamW optimizer, parameter
regulation, UML diagram