---
title: SCMA30019 - Week 1 AS
tags: SCMA30019
GA: G-77TT93X4N1
---

# Week 1 Assignment

- **Due:** September 10 at 10:10 AM
- **Submission:** Please submit your work to your GitHub repository under the folder `week_1`.
- **Format:** You may use any format you prefer (PDF, JPG, or MD). However, if you upload a photo, please make sure it is clear and readable.
- **Policy Reminder:** Be mindful of our grading policy, especially regarding Academic Integrity and the Use of Tools. 👉 Refer to the course syllabus for details.

---

## Written assignment

1. Consider stochastic gradient descent method to learn the house price model
$$
h(x_1, x_2)=\sigma(b + w_1x_1 + w_2x_2),
$$
where $\sigma$ is the sigmoid function.

Given one single data point $(x_1, x_2, y)=(1, 2, 3)$, and assuming that the current parameter is $\theta^0=(b, w_1, w_2)=(4, 5, 6)$, evaluate $\theta^1$.

> Just write the expression and substitute the numbers; no need to simplify or evaluate.

2. (a) Find the expression of $\frac{d^k}{dx^k}\sigma$ in terms of $\sigma(x)$ for $k=1,\cdots,3$ where $\sigma$ is the sigmoid function.

(b) Find the relation between sigmoid function and hyperbolic function.

3. There are unanswered questions during the lecture, and there are likely more questions we haven't covered. Take a moment to think about them and write them down here.