Thanks for your response. I'll think about the points you mentioned!
About pre existing algorithms/ tools: I assumed that they would be incompatible with my problem since I do not have an explicit function that I want to minimize, but that the function that I want to minimize involves some...
I have tried to implement my own algorithm, but it does not seem to work and maybe you have some suggestions on why it doesn't work or can suggest alternativies? :-)
First of all, I forgot to mention that the value of ##g_{ij}^\alpha## is either 0 or 1.
First I make the following...
But how exactly do I solve here for ##\theta_i, J##? To use the equation in the quote, I would need to know the value of ##u_{ij}##, but from the equations, i can only obtain the values of the sum ##\sum_{i=1}^N u_{ij}##, no? Maybe I misunderstood what you're saying
Hi,
In a project of mine I've encountered the following set of equations:
$$ \sum_{i=1}^N \left(\frac{1}{M}\sum_{\alpha=1}^Mg_{ij}^\alpha - u_{ij}^* \right) = 0 \qquad \forall: 1\leq j \leq N$$
$$\sum_{i<j}\left( (u_{ij}^*)^2 - \frac{2}{M^2}\sum_{\alpha < \beta}^Mg_{ij}^\alpha g_{ij}^\beta...
Ah, after solving the ##p-C## equations, we have ##N(N-1)/2 - N## unknown ##p_{ij}## variables left. In total (with the ##u_i##), we have ##N(N-1)/2 - N + N = N(N-1)/2 ## unknown variables left. We have ##N(N-1)/2## equations that connect the ##p##'s to the ##u##'s, so it should be solvable...
Hey Ray,
In general, we have ##N(N-1)/2## different ##p_{ij}## variables, correct? But we have ##N## amount of ##p-C## equations. So we have the right amount of equations / variables if ##N(N-1)/2 = N##, which is true for ## N =3 ##. Am I missing something or is this then not solvable if...
This is actually not a homework problem, but a problem I'm encountering while working on a little project and I'm not sure if it's even solvable or if it makes sense what I'm doing
1. Homework Statement
First, I have the equation
$$p_{ij} = \frac{1}{2}\left( \tanh{(-\frac{\theta_i +...
I realized that I know nothing about the history of physics!
Does anyone have any good recommendations on this topic?
For example I'd like to have a clear timetable in my head about what was discovered at what time? by who? what were the methods/thoughts that went into it and what did the rest...
Sorry for asking this here, and I know there's a lot of posts on the internet answering exactly this question but I'm curious about the opinion of you smart eople!
Does anyone have a preference for any sources to get into AI as a theoretical physics student? such as books, online courses, etc...