27PROPER METRICS
What are the three properties of a distance function that make it a proper metric?
Metrics are foundational to mathematics, computer science, and various other scientific domains. Understanding the fundamental properties that define a good distance function to measure distances or differences between points or datasets is important. For instance, when dealing with functions like loss functions in neural networks, understanding whether they behave like proper metrics can be instrumental in knowing how optimization algorithms will converge to a solution.
This chapter analyzes two commonly utilized loss functions, the mean squared ...
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