[Verse 1] Vectors in the space we navigate Matrices that help us calculate Tensors flowing through the neural streams Mathematical foundation of our dreams Eigenvalues reveal the hidden core Decomposition opens up the door [Chorus] Math is the language that AI speaks Linear algebra, calculus techniques Probability guides us through the noise Optimization helps us make the choice Gradients descending down the hill Finding minima with mathematical skill [Verse 2] Derivatives show us which way to go Partial slopes that make the knowledge flow Chain rule linking layers back to source Backpropagation runs its natural course Rate of change illuminates the path Forward through the computational math [Chorus] Math is the language that AI speaks Linear algebra, calculus techniques Probability guides us through the noise Optimization helps us make the choice Gradients descending down the hill Finding minima with mathematical skill [Bridge] Bayes theorem flips the question round Conditional probability keeps us sound Distributions paint the data's shape Information theory helps us escape Entropy measures uncertainty's weight KL divergence shows how models relate [Verse 3] Cost functions tell us when we're wrong Gradient descent moves us along Batch processing takes it all at once Stochastic sampling never confronts Mini-batch finds the middle way Balancing speed with accuracy's sway [Chorus] Math is the language that AI speaks Linear algebra, calculus techniques Probability guides us through the noise Optimization helps us make the choice Gradients descending down the hill Finding minima with mathematical skill [Outro] From vectors to the loss landscape view Mathematical foundations see us through Code the gradient descent by hand Watch the algorithm understand
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