# AASD 4005 Applied Mathematical Concepts For Machine Learning Assignment Sample Canada

AASD 4005 Applied Mathematical Concepts for Machine Learning is an introductory course in mathematics focused on the techniques used in machine learning. The course covers topics such as linear algebra, probability theory, and calculus.

The goal of the course is to provide students with the mathematical background necessary to understand and apply machine learning algorithms to real-world data problems.

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Here, we go through a number of tasks in detail. Here are some of them:

### Assignment Task 1: Explain current image and video analysis algorithms.

There are a variety of image and video analysis algorithms currently in use. Some common examples include edge detection, object detection, and facial recognition.

Edge detection algorithms are used to identify points in an image or video where the intensity of the pixels changes abruptly. This information can be used to create a sketch of the scene or extract objects from the background.

Facial recognition algorithms use distinctive features such as the shape of the face, eyes, nose, and mouth to identify individuals in a digital image or video.

Object detection algorithms are used to locate and classify objects within an image or video frame. These algorithms often make use of machine learning techniques to learn what objects look like and how they behave.

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### Assignment Task 2: Utilise mathematical libraries for building Machine Learning models.

There are a number of mathematical libraries that can be used for machine learning models. Some of the more popular libraries include Theano, TensorFlow, and Keras. Each library has its own strengths and weaknesses, so it’s important to choose the right library for the task at hand.

• Theano is a Python library that allows you to define, optimize, and evaluate mathematical expressions involving multi-dimensional arrays efficiently.
• TensorFlow is an open-source platform for building deep learning models. It is also written in Python and provides low-level constructs for constructing graphs of nodes and edges representing dataflow operations.
• Lastly, Keras is a high-level neural networks API written in Python that provides easy access to Theano or TensorFlow.

There are many advanced machine learning algorithms that can be used to solve various problems. Some of the most popular ones include support vector machines, decision trees, and neural networks. These algorithms can be used for classification, prediction, and estimation tasks. They can also be used for clustering and recommenders. Each algorithm has its own strengths and weaknesses, so it is important to choose the right one for the problem at hand. There are many resources available online that can help you learn more about these algorithms and how to implement them.

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### Assignment Task 4: Create custom feature masks for object detection and tracking.

Masking is a critical step in any object detection or tracking pipeline. By creating custom masks, you can improve the accuracy of your object detection and tracking models.

There are two main types of masks: feature masks and ground truth masks. Feature masks are created by running an object detection or tracking model on an image. Ground truth masks are manually annotated by a human annotator.

Creating custom feature masks is relatively straightforward. You simply need to train your object detection or tracking model on a new dataset that includes the desired objects. Once the model is trained, you can use it to generate custom feature masks for any given image.

Creating ground truth masks is more laborious, but it can be worth the effort if you need very high accuracy. To create a ground truth mask, you first need to manually annotate an image with the desired objects. This can be done using a software tool such as LabelMe. Once the image is annotated, you can use the annotations to generate a ground truth mask.

Both types of masks have their own advantages and disadvantages. Feature masks are easy to create but may be less accurate than ground truth masks. Ground truth masks are more accurate but take more time to create. Ultimately, it is up to you to decide which type of mask is best for your needs.

### Assignment Task 5: Explain Calculus theory in the context of Machine Learning models.

Calculus is a branch of mathematics that deals with the study of change. In the context of machine learning, calculus is used to help develop models that can learn from data. By understanding how a function changes over time, we can better design algorithms that can learn from data and make predictions about future events.

Calculus also helps us understand optimization problems, which are often used in machine learning. For example, when we want to find the lowest point on a curve, we can use calculus to identify the points where the gradient (rate of change) is zero. This helps us design algorithms that can find optimal solutions to problems.

Overall, calculus is a powerful tool that can help us design better machine learning models. By understanding how functions change over time, we can develop models that are more accurate and efficient.

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