Get to the root of how linear transformations power self-attention in transformers — simplified for anyone diving into deep learning. #SelfAttention #Transformers #DeepLearning Trump announces ...

The essence of computation is nonlinearity. A cascade of linear functions, no matter how deep, is just another linear function—the product of any two matrices is just another matrix—so it is ...

The graph of \(f(x) = x^2\) is the same as the graph of \(y = x^2\). Writing graphs as functions in the form \(f(x)\) is useful when applying translations and reflections to graphs. If \(f(x ...

If \(A\) is a \(3\times 3\) matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where \([r,g,b]\) are the original values ...

Writing equations as functions in the form \(f(x)\) is useful when applying translations and reflections to graphs. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). Here we are adding \(a\) to the ...

linear transformations, and systems of linear differential equations. Prereq., APPM 1360 or MATH 2300 (min. grade C-). Credit not granted for this course and both MATH 3130 and 4430. Usually offered ...