Smart question. This could be done indeed. You’d have to include the higher terms in your A matrix. For higher orders, alternatively, you’ll need tensor decompositions to express your equation
i've been searching for something related to this, for hours, and can't find a clue. the algebra we studied in school is for scalars, you deal with stuff like ax^2 and x/a or x/a and so on. now with matrices, if instead of a scalar, you have a sequence of scalars, and you want to represent ax^2 for each one of them, you write transpose(a) * x * a if you want to represent [ax, by, cz] you write: diag([a,b,c]) * [x,y,z] where can i find a list of such relations? how to convert equations/functions from scalar form to matrix/vector representation. i've been looking for hours. i want a list of those relations, or the name of this field.
Hi Dr Bazzi, Some feedback if you don't mind, to improve 'watchability: 1) please refrain from moving around the pointer unnecessarily, it's distracting; 2) please avoiding switching between windows too frequently; 3) the writing/drawing often suddenly jump forward, like auto-complete, please avoid or less frequently please; 4) if you use a mouse to write, perhaps consider using a pencil, to improve readability. Thanks for the excellent videos!
Thank you! Question: are quadratic programs always convex problems? (Is a problem with a x^Px, where P is not positive definite also called a quadratic program)
How does a constant term affect your form? lets say i have just any 2 variable objective function but have a constant at the end of it? Edit: basically will a constant affect the solution.
You should do joint work with 3Blue1Brown .. you guys sound alike !!
I’ve been at Stanford and attended Boyd’s lecture. This lecture is way better than any of his talks.
17:33 there is error in voice .. please fix it in future lectures this is not good
thank you sir .. I've been waiting this lecture since 2 months. Please be fast in publishing the next video on QCQP as you say in 25:45 :) bless u
i have also subscribed. i eagarly also await your signal processing lectures. can't wait to learn some of this topic from the best.
I am a french speaker and I wish i could see you in person to shake your hands. Thanks a buch ..
de rien !!
14:42 when matrices are accompanied by smiley faces 😆
nice one, Ale !! Better take good care of your matrix, you never know when they might frown.
Is there a cubic programming convex problem ? n^th order maybe ? Should we write x^T A x gosh this is complicated.🤔
Smart question. This could be done indeed. You’d have to include the higher terms in your A matrix. For higher orders, alternatively, you’ll need tensor decompositions to express your equation
i've been searching for something related to this, for hours, and can't find a clue. the algebra we studied in school is for scalars, you deal with stuff like ax^2 and x/a or x/a and so on. now with matrices, if instead of a scalar, you have a sequence of scalars, and you want to represent ax^2 for each one of them, you write transpose(a) * x * a if you want to represent [ax, by, cz] you write: diag([a,b,c]) * [x,y,z] where can i find a list of such relations? how to convert equations/functions from scalar form to matrix/vector representation. i've been looking for hours. i want a list of those relations, or the name of this field.
You can find some answers in the Gilbert Strang's book namely "Linear Algebra and Its Applications"
Hi Dr Bazzi, Some feedback if you don't mind, to improve 'watchability: 1) please refrain from moving around the pointer unnecessarily, it's distracting; 2) please avoiding switching between windows too frequently; 3) the writing/drawing often suddenly jump forward, like auto-complete, please avoid or less frequently please; 4) if you use a mouse to write, perhaps consider using a pencil, to improve readability. Thanks for the excellent videos!
That was great!
Glad you liked it Paulo :)
Thank you! Question: are quadratic programs always convex problems? (Is a problem with a x^Px, where P is not positive definite also called a quadratic program)
This guy is amazing.
Thank a lot
Does this work for nonconvex objective functions?
no this works only for quadratic functions .. you might find literature on nonconvex approximations or relaxations to convex ones
How does a constant term affect your form? lets say i have just any 2 variable objective function but have a constant at the end of it? Edit: basically will a constant affect the solution.
how to use this quadratic assignment to traveling sales man problem
I can’t wait to see a live video of you !! I would love to see you as my teacher
Haha thank you. Just keep an eye on the channel, I might pop out a few times, but i’d rather concentrate on the content.
Thank you from USA!!
You are welcome, Hilma !! Make sure you subscribe to the channel and hit the notification button to receive future notifications about the channel :)
You did a GREAT GREAT job, May GOD bless you and your family!
哥们这是financial engineering吗？
14:42 so positive definite matrices are meant to smile .. I love your way of explaining things
Merci beaucoup pour votre effort.
De rien. Shakira:)) Merci pour votre support!!