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Reworking the Math of the Transformer Mannequin
On this article, we’ll embark on a playful journey via the world of transformers, unraveling the complexities of their structure utilizing the Einstein notation.
Introduction:
Transformer fashions have revolutionized the sector of pure language processing (and past), reaching state-of-the-art outcomes on a wide range of duties. They’ve spectacular efficiency however the underlying mathematical operations will be advanced and troublesome to understand — particularly with out breaking down the person layers. On this article, I suggest utilizing the Einstein notation to specific the mathematical operations inside a transformer mannequin.
Word that the Einstein notation is often utilized in Physics and Arithmetic equivalent to in Basic Relativity, Electromagnetism, Quantum and Fluid Mechanics but in addition in Linear Algebra to signify matrix operations in a extra compact kind.
The objective is to put in writing the mathematical operations of each layer in a concise and chic approach. By leveraging implicit summation over repeated indices, Einstein notation can simplify the illustration of tensor operations, making it (probably) simpler to grasp and due to this fact implement the person layers of the transformer fashions…
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