I do work in heteroscedastic probabilities PCA as an applied math PhD. Right now I am trying to prove the optimization landscape of this loss function is benign. It basically involves solving a heterogeneous sum of quadratic forms problem over the steifel manifold. But the problem is this landscape is nonconvex. So I have to prove that even though this error function has an nonconvex landscape, it still converges to a global minimum. It’s turning out to be very difficult
2025-07-23 06:01:04
16
Lester :
how do I get this paper.. Fascinating
2025-07-22 22:14:08
0
user2718281828459 :
Not true that the residuals have to be normal for the best ols fit, as long as the residuals have equal variance and are uncorrelated. See Gauss Markov theorem…
2025-07-27 05:29:27
0
CaffeineDayDream :
Is this in relation to Mean Squared Error?
2025-07-23 02:49:26
2
1024256james :
Dr. Hayes: thank you for your understanding and spectacular clarity to describe your students work for everyone! Brilliant
2025-07-26 23:16:48
1
j__friend :
In physics lab, the best fit was always drawing the line to get the best answer to the experiment. 😄
2025-07-21 23:08:08
3
Indefeasible :
very cool, I worked on a project for the functional analysis of hederoscedastic data, found lots of applications in nuclear science
2025-07-22 01:59:01
4
tomtcny :
Very cool. I’m in animal science and the normally assumption is abused. The number of students and faculty they don’t understand stats drives me crazy
2025-07-25 14:11:26
1
smitherine19 :
That’s awesome! Crazy how I love that stuff!
2025-07-21 22:22:27
3
Lauren :
I am not smart enough for this. But I loved it!
2025-07-21 21:36:04
4
billybbob126 :
Ummm..math Phds do tons of math research.
2025-07-22 06:31:36
3
Edward Tupin :
Really nice work. It will be interesting to see how her work might impact low radiation dose research, like the Million Person Study.
2025-07-22 03:50:55
3
user2247445038169 :
This could’ve been a PowerPoint.
2025-07-21 22:25:31
1
. :
Never
2025-07-23 00:09:35
1
2Rikkiornot2Rikki :
Amazing!!!
2025-07-22 18:53:12
1
Ben :
I appreciate your enthusiasm
2025-07-21 23:52:17
1
NicolasTitone :
Interesting
2025-07-22 19:39:17
1
HBPHDX2 :
I understood most of what you said, but my small mind failed to pick up what is so great about what she is doing... ?? 😁
2025-07-25 00:33:43
0
Stuart Reid :
@Stuart Reid:yes the replicator is pure math
2025-07-24 09:26:13
0
Maggick :
Can this speed up chip development?
2025-07-23 04:43:02
0
PktProjects :
Is that linear or affine?
2025-07-22 05:54:42
0
user3826078380203 :
is there a free pdf?
2025-07-22 03:52:55
0
1024256james :
Wonderful professor! Thank you
2025-07-26 02:31:05
1
Brendhan :
@Dr. Ibrahim | Blackbirdphys @Average Joe
2025-07-24 14:10:40
0
Brendhan :
@Álvaro Lozano-Robledo
2025-07-24 14:12:18
1
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