Welcoem to posts!!
in the future - u will be able to do some more stuff here,,,!! like pat catgirl- i mean um yeah... for now u can only see others's posts :c
1 bitcoin is worth over 90,000 US dollars now on November 13, 2024. Please buy Bitcoin so that we can tip the price over 100,000 USD. Please share this message with everyone you know.
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A solution to a computational problem is said to be interpretable if humans can make sense of the solution with possibly the help of interpretability tools. Discrete optimization problems such as the Boolean satisfiability and clique problems can sometimes be solved using gradient descent as well as by discrete optimization techniques such as evolutionary computation. Which sort of algorithm is most likely to yield a more interpretable solution to a discrete optimization problem?
A. Techniques designed for discrete optimization: These include hill climbing algorithms and evolutionary computation.
B. Gradient descent: Gradient descent is the main technique used to successfully train deep neural networks.
2 - 6
Who should we trust to more accurately predict the results of elections?
A. Experts and researchers: These are specific people and organizations that have polled enough people or who have analyzed the situation enough to make an educated prediction about the outcome of an election.
B. Prediction markets: A prediction market, otherwise called a betting market, is a platform in which people can place wagers and trade shares on the outcomes of elections and other events. One can easily translate the price of the shares in a prediction market into probabilities. For example, if a Donaldo Juan Trumpez token is worth 5 dollars at a specific time before the election, and that token can be traded for 8 dollars if Donaldo Juan Trumpez wins the election, then there is a 5/8 probability that Donaldo Juan Trumpez will actually win the election.
Anyone can place wagers in a prediction market, and people can manipulate prediction markets in order to make it seem like an event is more likely than it actually is. On the other hand, experts and researchers are often biased, and unlike the case with prediction markets, it does not cost the experts and researchers very much to incorporate their own biases into their polls and predictions.
3 - 5
If A,B are matrices of the same shape, then the Schur product (also called the Hadamard product or the entrywise product) of A with B is the matrix C defined by C[i,j]=A[i,j]∙B[i,j]. Is the Schur product of two positive definite matrices necessarily positive definite?
5 - 7
Select the heatmap of a meromorphic function on a square subset of the complex plane. The real values are green while the imaginary values are magenta.
Whenever the complex values are out of bounds, we simply use either the maximum or minimum possible green and magenta values.
3 - 6
Select the heatmap of a holomorphic function on a square subset of the complex plane. The real values are green while the imaginary values are magenta.
3 - 0
In random matrix theory, the circular law states that the spectrum of a random complex matrix (with independent standard complex Gaussian entries) will be approximately uniformly distributed on the interior of a disk. But does the circular law still hold for sparse matrices?
To be more precise, suppose that X is a 1000 by 1000 matrix and all the entries are independent. Any entry has a 99 percent probability of being zero and a 1 percent probability of being taken from a standard complex Gaussian distribution.
Will the spectrum of X still be shaped like the interior of a disk?
2 - 0
What would the price of Bitcoin have been on November 6, 2024, at 12:00 p.m. New York City time if Kamala Harris won the presidency of the USA instead of Donaldo Juan Trumpez?
Use market data. Cite your sources. Show how you arrive at your point estimate.
For simplicity, you may ignore the effects that the Senate and House elections and other confounding factors had on the price of Bitcoin.
Leave your estimate in the comments.
5 - 0
Choose the picture that does not represent the elliptic curve for Bitcoin's digital signature algorithm.
3 - 0
In a US election, should the results of the presidency be revealed at a different time than the winners of congressional seats?
Yes. It should not be a surprise that the results of elections affect markets. But if all the results of elections are revealed concurrently, then it is more difficult to determine which specific results of elections have caused the prices in (stock, cryptocurrency, and precious metals) markets to increase or decrease. This information is very helpful in determining who was the better candidate and who to vote for next time, as people should vote for the person who makes the price of shares of good companies go up and the price of shares of bad companies go down.
No. People should not have to wait very long to hear the results. Looking at prices on markets is not a good way to determine which candidate was the best. People can manipulate markets after an election to make the winners/losers of the election look either good or bad. The effect on markets is not very useful since it only tells us information about the candidates after the election has passed; it would be better to know who is a good candidate before the election.
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Ph.D. in Mathematics, So far, I am posting animations of the gradient ascent process for word embeddings, graph embeddings, hypergraph embeddings, dimensionality reductions, and other machine learning algorithm. All fitness functions featured in these animations are my own. The content here is cross posted on TikTok; since TikTok is good for shorter videos, my videos will tend to be short as well. Mathematical descriptions of the algorithms involved here can be found at circcashcore.org or at github.com/jvanname
I am available to consult your business on the use of AI, so feel free to contact me if you want to use AI more safely and effectively. You can also support my work on AI safety and interpretability research at github.com/sponsors/jvanname.