259 karma · joined November 19, 2021
I think this means you'll be able to continue using Minecraft with OpenGL.
Linear transforms (such as rotations and displacements) in GPU graphics.
Fourier series in signal processing.
JPEG compression.
Obtaining the best fit element in a vector space of curves given data or other constraints.
Understanding autodiff in JAX.
The mathematical definition of a tensor helps develop intuition for manipulating arrays/tensors in array libraries.
Transition matrices of a Markov chain.
PageRank.
As someone with zero knowledge of psychology, I'm biased against it. Partly because of my vague impression that psychology tries to fit people to models, rather than viewing models as limited approximations.
For a while I've thought it would be nice to know what results the field of psychology actually has that are trusted. Was there anything at all in the taught content which you liked? I didn't realise the DSM-V was that bad. If research on trans people can be cherry-picked, then does that mean that some reliable research exists?
What is the justification for this? Is there a mathematical proof? To me, CoT seems like a hack to work around the severe limitations of current LLMs.
This is not helped by the fact that she pushes an interpretation of quantum mechanics viewed as fringe at best. Her takes on modern physics seem typically disingenuous or biased.
Since noone has many qubits, typically physical qubits are compared as opposed to virtual qubits (the error corrected ones).
The other key figures of merit are the 1-qubit and 2-qubit gate fidelities (basically the success rates). The 2-qubit gate is typically more difficult and has a lower fidelity, so people often compare qubits by looking only at the 2-qubit gate fidelity. Every 9 added to the 2-qubit gate fidelity is expected to roughly decrease the ratio of physical to virtual qubits by an order of magnitude.
In architectures where qubits are fixed in place and can only talk to their nearest neighbours, moving information around requires swap gates which are made up of the elementary 1 and 2-qubit gates. Some architectures have mobile qubits and all-to-all connectivity, so their proponents hope to avoid swap gates, considerably reducing the number of required 2-qubit gates required to run an algorithm, thus resulting in less errors to deal with.
Some companies, particularly ones on younger architectures, but perhaps with much better gate fidelities, argue that their scheme is better by virtue of being more "scalable" (having more potential in future).
It is expected that in the future, the overall clock speed of the quantum computer will matter, as the circuits we ultimately want to run are expected to be massively long. Since we're far away from the point where this matters, clock speed is uncommonly brought up.
In general, different architectures have different advantages. With different proponents having different beliefs of what matters, it was once described to me as each architecture having their own religion.
TL;DR: the two key stats are number of qubits and 2-qubit gate fidelity.
Flow's having an impact on animators seems great!