Let’s see whether the notions that I have talked about are sensible mathematical notions for machine learning.
Tensor product-Sometimes data in a neural network has tensor structure. In this case, the weight matrices should be tensor products or tensor sums. Regarding the structure of the data works well with convolutional neural networks, and it should also work well for data with tensor structure to it.
Trace-The trace of a matrix measures how much the matrix maps vectors onto themselves since
Tr(A)=c⋅E(⟨Av,v⟩) where v follows the multivariate normal distribution.
Spectral radius-Suppose that we are iterating a smooth function f. Suppose furthermore that f(v)=v and u0 is near v and un+1=f(un). We would like to determine whether limn→∞un=v or not. If the Jacobian of f at v has spectral radius less than 1, then limn→∞un=v,. If the Jacobian of f at v has spectral radius greater than 1, then this limit does not converge.
The notions that I have been talking about are sensible and arise in machine learning. And understanding these notions is far easier than trying to interpret very large networks like GPT-4 without using these notions. Many people on this site just act like clowns. Karma is only a good metric when the people on the network value substance over fluff. And the only way to convince me otherwise will be for the people here to value posts that involve basic notions like the trace, eigenvalues, and spectral radius of matrices.
P.S. I can make the trace, determinant, and spectral radius even simpler. These operations are what you get when you take the sum, product, and the maximum absolute value of the eigenvalues. Yes. Those are just the basic eigenvalue operations.
You’re still hammering on stuff I never disagreed with in the first place. In so far as I don’t already understand all the math (or math notation) I’d need to follow this, that’s a me problem not a you problem, and having a pile of cool papers I want to grok is prime motivation for brushing up on some more math. I’m definitely not down-voting merely on that.
What I’m mostly trying to get across is just how large of a leap of logic you’re making from [post got 2 or 3 downvotes] ⇒ [everyone here hates math]. There’s got to be at least 3 or 4 major inferences there you haven’t articulated here and I’m still not sure what you’re reacting so strongly to. Your post with the lowest karma is the first one and it’s sitting at neutral, based on a grand total of 3 votes besides yours. You are definitely sophisticated enough on math to understand the hazards of reasoning from a sample size that small.
I will work with whatever data I have, and I will make a value judgment based on the information that I have. The fact that Karma relies on very small amounts of information is a testament to a fault of Karma, and that is further evidence of how the people on this site do not want to deal with mathematics. And the information that I have indicates that there are many people here who are likely to fall for more scams like FTX. Not all of the people here are so bad, but I am making a judgment based on the general atmosphere here. If you do not like my judgment, then the best thing would be to try to do better. If this site has made a mediocre impression on me, then I am not at fault for the mediocrity here.
Again you’re saying that without engaging with any of my arguments or giving me any more of your reasoning to consider. Unless you care to share substantially more of your reasoning, I don’t see much point continuing this?
I do not care to share much more of my reasoning because I have shared enough and also because there is a reason that I have vowed to no longer discuss except possibly with lots of obfuscation. This discussion that we are having is just convincing me more that the entities here are not the entities I want to have around me at all. It does not do much good to say that the community here is acting well or to question my judgment about this community. It will do good for the people here to act better so that I will naturally have a positive judgment about this community.
There’s a presumption you’re open to discussing on a discussion forum, not just grandstanding. Strong downvoted much of this thread for the amount of my time you’ve wasted trolling.
Let’s see whether the notions that I have talked about are sensible mathematical notions for machine learning.
Tensor product-Sometimes data in a neural network has tensor structure. In this case, the weight matrices should be tensor products or tensor sums. Regarding the structure of the data works well with convolutional neural networks, and it should also work well for data with tensor structure to it.
Trace-The trace of a matrix measures how much the matrix maps vectors onto themselves since
Tr(A)=c⋅E(⟨Av,v⟩) where v follows the multivariate normal distribution.
Spectral radius-Suppose that we are iterating a smooth function f. Suppose furthermore that f(v)=v and u0 is near v and un+1=f(un). We would like to determine whether limn→∞un=v or not. If the Jacobian of f at v has spectral radius less than 1, then limn→∞un=v,. If the Jacobian of f at v has spectral radius greater than 1, then this limit does not converge.
The notions that I have been talking about are sensible and arise in machine learning. And understanding these notions is far easier than trying to interpret very large networks like GPT-4 without using these notions. Many people on this site just act like clowns. Karma is only a good metric when the people on the network value substance over fluff. And the only way to convince me otherwise will be for the people here to value posts that involve basic notions like the trace, eigenvalues, and spectral radius of matrices.
P.S. I can make the trace, determinant, and spectral radius even simpler. These operations are what you get when you take the sum, product, and the maximum absolute value of the eigenvalues. Yes. Those are just the basic eigenvalue operations.
You’re still hammering on stuff I never disagreed with in the first place. In so far as I don’t already understand all the math (or math notation) I’d need to follow this, that’s a me problem not a you problem, and having a pile of cool papers I want to grok is prime motivation for brushing up on some more math. I’m definitely not down-voting merely on that.
What I’m mostly trying to get across is just how large of a leap of logic you’re making from [post got 2 or 3 downvotes] ⇒ [everyone here hates math]. There’s got to be at least 3 or 4 major inferences there you haven’t articulated here and I’m still not sure what you’re reacting so strongly to. Your post with the lowest karma is the first one and it’s sitting at neutral, based on a grand total of 3 votes besides yours. You are definitely sophisticated enough on math to understand the hazards of reasoning from a sample size that small.
I will work with whatever data I have, and I will make a value judgment based on the information that I have. The fact that Karma relies on very small amounts of information is a testament to a fault of Karma, and that is further evidence of how the people on this site do not want to deal with mathematics. And the information that I have indicates that there are many people here who are likely to fall for more scams like FTX. Not all of the people here are so bad, but I am making a judgment based on the general atmosphere here. If you do not like my judgment, then the best thing would be to try to do better. If this site has made a mediocre impression on me, then I am not at fault for the mediocrity here.
You are judging my reasoning without knowing all that went into my reasoning. That is not good.
Again you’re saying that without engaging with any of my arguments or giving me any more of your reasoning to consider. Unless you care to share substantially more of your reasoning, I don’t see much point continuing this?
I do not care to share much more of my reasoning because I have shared enough and also because there is a reason that I have vowed to no longer discuss except possibly with lots of obfuscation. This discussion that we are having is just convincing me more that the entities here are not the entities I want to have around me at all. It does not do much good to say that the community here is acting well or to question my judgment about this community. It will do good for the people here to act better so that I will naturally have a positive judgment about this community.
There’s a presumption you’re open to discussing on a discussion forum, not just grandstanding. Strong downvoted much of this thread for the amount of my time you’ve wasted trolling.