Abstract: The Cramér-Rao lower bound (CRLB) is a fundamental result in statistical signal processing, however, the CRLB for quaternion parameters is not yet established. To this end, we develop the ...
3Blue1Brown explains that 'large-scale language models are sophisticated mathematical functions that predict the next word in any given sentence.' For example, let's say you have a script for a short ...
Implicit differentiation can feel weird, but what's going on makes much more sense once you view each side of the equation as a two-variable function, f(x, y). Integrals are used to find the average ...
Project description: We will work together to learn about Manim, the Python package developed by Grant Sanderson for his YouTube channel 3Blue1Brown, and then use it to create engaging videos on ...
3Blue1Brown, a website that explains various mathematical topics in the form of videos, provides an explanation of ' Attention,' the heart of the 'Transformer' structure that shapes AI such as ChatGPT ...
How did you spend the past few years as the COVID pandemic raged and limited our leisure options? Software developer Josh Wardle and his partner passed the time with crossword puzzles from the New ...
It’s 179 years since William Rowan Hamilton really put Ireland on the maths map by inventing quaternions. This is a four-dimensional number system with a highly usual property as the order in which ...
Mathematical transforms can be a great help in understanding signals. Imaging trying to look at a complex waveform and figuring out the frequency components without the Fourier transform. [Artem ...
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