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2 changes: 1 addition & 1 deletion lectures/Density Estimation.jl
Original file line number Diff line number Diff line change
Expand Up @@ -1440,7 +1440,7 @@ hide_solution(
\end{align}
```

This equation is the equivalent of the [Gaussian multiplication formula](https://bmlip.github.io/course/lectures/The%20Gaussian%20Distribution.html#(Multivariate)-Gaussian-Multiplication) for discrete data. Note that the evidence is a scalar normalizer for given observations $m$ and pseudo-observations ("prior" observations) $\alpha$.
This equation is the equivalent of the [Gaussian multiplication formula](#Gaussian-multiplication) for discrete data. Note that the evidence is a scalar normalizer for given observations $m$ and pseudo-observations ("prior" observations) $\alpha$.
""")

# ╔═╡ 6dfc31a0-d0d7-4901-a876-890df9ab4258
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2 changes: 1 addition & 1 deletion lectures/Generative Classification.jl
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Expand Up @@ -229,7 +229,7 @@ md"""

Maximization of the LLH for the GDA model breaks down into

* **Gaussian density estimation** for parameters ``\mu_k, \Sigma``, since the first term contains exactly the log-likelihood for MVG density estimation. We've already done this, see the [Gaussian distribution lesson](https://bmlip.github.io/course/lectures/The%20Gaussian%20Distribution.html#ML-for-Gaussian).
* **Gaussian density estimation** for parameters ``\mu_k, \Sigma``, since the first term contains exactly the log-likelihood for MVG density estimation. We've already done this, see the [Gaussian distribution lesson](https://bmlip.github.io/course/lectures/Density%20Estimation.html#ML-for-Gaussian).
* **Multinomial density estimation** for class priors ``\pi_k``, since the second term holds exactly the log-likelihood for multinomial density estimation, see the [Multinomial distribution lesson](https://bmlip.github.io/course/lectures/The%20Multinomial%20Distribution.html#ML-for-multinomial).

"""
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2 changes: 1 addition & 1 deletion lectures/Probability Theory Review.jl
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Expand Up @@ -1208,7 +1208,7 @@ Let ``p_x(x) = \mathcal{N}(x|\mu,\sigma^2)`` where
```math
\mathcal{N}(x|\mu,\sigma^2) \triangleq \frac{1}{\sigma \sqrt{2\pi}} \,\exp\left(-\frac{(x-\mu)^2}{2 \sigma^2}\right)
```
is a [Gaussian distribution](https://bmlip.github.io/course/lectures/The%20Gaussian%20Distribution.html#The-Gaussian-Distribution). Let ``y = \frac{x-\mu}{\sigma}``.
is a [Gaussian distribution](https://bmlip.github.io/course/lectures/Density%20Estimation.html#Continuous-Data-and-the-Gaussian-Distribution). Let ``y = \frac{x-\mu}{\sigma}``.
Evaluate ``p_y(y)`` as a Gaussian distribution.

"""
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4 changes: 2 additions & 2 deletions lectures/Regression.jl
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Expand Up @@ -264,7 +264,7 @@ p(w|D) &\propto p(D|w)\cdot p(w) \\
\end{align}
```

with natural parameters (see the [natural parameterization of Gaussian](https://bmlip.github.io/course/lectures/The%20Gaussian%20Distribution.html#natural-parameterization)):
with natural parameters (see the [natural parameterization of Gaussian](https://bmlip.github.io/course/lectures/Density%20Estimation.html#natural-parameterization)):

```math
\begin{align*}
Expand All @@ -273,7 +273,7 @@ with natural parameters (see the [natural parameterization of Gaussian](https://
\end{align*}
```

Or equivalently (in the [moment parameterization of the Gaussian](https://bmlip.github.io/course/lectures/The%20Gaussian%20Distribution.html#The-Moment-Parameterization)):
Or equivalently (in the [moment parameterization of the Gaussian](https://bmlip.github.io/course/lectures/Density%20Estimation.html#The-Moment-Parameterization)):

```math
\begin{align*}
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