For which matrices $W_2$, $X$ and $Y$, the function $|W_2 W_1 X - Y |^2_F$ is strongly convex?
up vote
0
down vote
favorite
I'm curious for which (not necessarily squared matrices) $W_2$, $X$ and $Y$, the function $|W_2 W_1 X - Y |^2_F$ is strongly convex as a function of $W_1$ and what is the convexity parameter.
Thanks!
convex-analysis convex-optimization
asked Nov 22 at 21:22
tomerg
728820
add a comment |
up vote
0
down vote
favorite
I'm curious for which (not necessarily squared matrices) $W_2$, $X$ and $Y$, the function $|W_2 W_1 X - Y |^2_F$ is strongly convex as a function of $W_1$ and what is the convexity parameter.
Thanks!
convex-analysis convex-optimization
asked Nov 22 at 21:22
tomerg
728820
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I'm curious for which (not necessarily squared matrices) $W_2$, $X$ and $Y$, the function $|W_2 W_1 X - Y |^2_F$ is strongly convex as a function of $W_1$ and what is the convexity parameter.
Thanks!
convex-analysis convex-optimization
asked Nov 22 at 21:22
tomerg
728820
I'm curious for which (not necessarily squared matrices) $W_2$, $X$ and $Y$, the function $|W_2 W_1 X - Y |^2_F$ is strongly convex as a function of $W_1$ and what is the convexity parameter.
Thanks!
convex-analysis convex-optimization
convex-analysis convex-optimization
asked Nov 22 at 21:22
tomerg
728820
asked Nov 22 at 21:22
tomerg
728820
asked Nov 22 at 21:22
tomerg
728820
asked Nov 22 at 21:22
tomerg
728820
asked Nov 22 at 21:22
tomerg
728820
728820
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3009674%2ffor-which-matrices-w-2-x-and-y-the-function-w-2-w-1-x-y-2-f-is%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
