Data-driven regularizers fail without noise structure. 🎯
Tikhonov, Lavrentiev, quadratic — not equal under non-white noise.
🤫 Spoiler: Optimal reconstruction needs proper noise modeling.
👉 Regularizer choice = structure and noise.
Why the noise model matters: A performance gap in learned regularization
https://arxiv.org/abs/2510.12521
Data-driven regularizers fail without noise structure. 🎯
Tikhonov, Lavrentiev, quadratic — not equal under non-white noise.
🤫 Spoiler: Optimal reconstruction needs proper noise modeling.
👉 Regularizer choice = structure and noise.
Read my personal answer here:
web.mathi.uni-heidelberg.de/content/uplo...
#mathsky #math #question
Read my personal answer here:
web.mathi.uni-heidelberg.de/content/uplo...
#mathsky #math #question
#StemBroidery #MathArt #MathSky
#StemBroidery #MathArt #MathSky
The SIAM Activity Group on Data Science (SIAG/DATA) invites you to join us for a panel on the topic:
Careers in Mathematics of Data Science
Tuesday, August 12, 2025 | 9:00 AM PT | Zoom Webinar
Panelists: Marta D’Elia, Elizabeth Newman, David Uminsky
Check out our panel discussion of "Careers in Mathematics of Data Science" on youtube:
youtu.be/qdlJJLT4ddQ?...
Check out our panel discussion of "Careers in Mathematics of Data Science" on youtube:
youtu.be/qdlJJLT4ddQ?...
The SIAM Activity Group on Data Science (SIAG/DATA) invites you to join us for a panel on the topic:
Careers in Mathematics of Data Science
Tuesday, August 12, 2025 | 9:00 AM PT | Zoom Webinar
Panelists: Marta D’Elia, Elizabeth Newman, David Uminsky
The SIAM Activity Group on Data Science (SIAG/DATA) invites you to join us for a panel on the topic:
Careers in Mathematics of Data Science
Tuesday, August 12, 2025 | 9:00 AM PT | Zoom Webinar
Panelists: Marta D’Elia, Elizabeth Newman, David Uminsky
Suppose you're a mathematical sailor at sea on a boat that has a perfectly cylindrical hole in the floor. All you brought is a collection of every p norm ball except p=2 (drat!). What do you do to cork the hole and save yourself?
Suppose you're a mathematical sailor at sea on a boat that has a perfectly cylindrical hole in the floor. All you brought is a collection of every p norm ball except p=2 (drat!). What do you do to cork the hole and save yourself?
B: There is a sound framework where a mathematical statement/concept can be proven/defined.
I tend to believe that
A ⇒ B,
but not vice versa.
(Thinking about Dirac's delta and the Banach-Tarski paradox, for example.)
#🧮
B: There is a sound framework where a mathematical statement/concept can be proven/defined.
I tend to believe that
A ⇒ B,
but not vice versa.
(Thinking about Dirac's delta and the Banach-Tarski paradox, for example.)
#🧮
www.claymath.org/millennium/p...
🧵
www.claymath.org/millennium/p...
🧵
STILL UNIFORMLY DISTRIBUTED! 🤯
(Quite a nice fact that is special to three dimensions: Each coordinate of a random vector uniformly on the uni sphere is uniform in [-1,1].)
#🧮
STILL UNIFORMLY DISTRIBUTED! 🤯
(Quite a nice fact that is special to three dimensions: Each coordinate of a random vector uniformly on the uni sphere is uniform in [-1,1].)
#🧮
youtu.be/nynELwnA8ow?...
youtu.be/nynELwnA8ow?...
\addbibressource{S0024379525000242.bib}
…
\addbibressource{S0024379525000242.bib}
…
(He did not get the Nobel prize though…)
en.wikipedia.org/wiki/Claude_...
(He did not get the Nobel prize though…)
en.wikipedia.org/wiki/Claude_...