Does Order Matter : Connecting The Law of Robustness to Robust Generalization
Himadri Mandal, Vishnu Varadarajan, Jaee Ponde, Aritra Das, Mihir More, Debayan Gupta
https://arxiv.org/abs/2602.20971 https://arxiv.org/pdf/2602.20971 https://arxiv.org/html/2602.20971
arXiv:2602.20971v1 Announce Type: new
Abstract: Bubeck and Sellke (2021) pose as an open problem the connection between the law of robustness and robust generalization. The law of robustness states that overparameterization is necessary for models to interpolate robustly; in particular, robust interpolation requires the learned function to be Lipschitz. Robust generalization asks whether small robust training loss implies small robust test loss. We resolve this problem by explicitly connecting the two for arbitrary data distributions. Specifically, we introduce a nontrivial notion of robust generalization error and convert it into a lower bound on the expected Rademacher complexity of the induced robust loss class. Our bounds recover the $\Omega(n^{1/d})$ regime of Wu et al.\ (2023) and show that, up to constants, robust generalization does not change the order of the Lipschitz constant required for smooth interpolation. We conduct experiments to probe the predicted scaling with dataset size and model capacity, testing whether empirical behavior aligns more closely with the predictions of Bubeck and Sellke (2021) or Wu et al.\ (2023). For MNIST, we find that the lower-bound Lipschitz constant scales on the order predicted by Wu et al.\ (2023). Informally, to obtain low robust generalization error, the Lipschitz constant must lie in a range that we bound, and the allowable perturbation radius is linked to the Lipschitz scale.
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Hints of Primordial Magnetic Fields at Recombination and Implications for the Hubble Tension: #HubbleTension and other cosmic mysteries: https://www6.slac.stanford.edu/news/2026-03-13-primordial-magnetic-fields-could-resolve-hubble-tension-and-other-cosmic-mysteries - an international team of researchers simulated magnetic forces in the early universe and found they could bridge the gap between the observed and calculated rates of the universe’s expansion.
Adobe agrees to pay $75M to resolve a US government lawsuit accusing it of concealing hefty termination fees and making it difficult to cancel subscriptions (Jonathan Stempel/Reuters)
https://www.reuters.com/world/adobe-pay-75
I don't normally have a lot of sympathy for Windows users, but I'm not a monster. Being stuck with nslookup is a tragedy.
"Oh BIND, oh BIND, why have you forsaken Windows? I miss my dig. Yes, I do. I guess WSL2 will have to do."
https://techcom…
I have implemented a KDE-Wayland analogue of XKill called...wait for it...wkill. Usage is like you'd expect: you run it, you get a crosshair, you click on the window you want to kill, and it is killed.
Technical implementation is, in essence:
On click, send `zwlr_foreign_toplevel_handle_v1.close()` to the compositor (politely requesting the application to an hero).
Then, resolve the PID from `/proc` by matching `app_id`,, then send **SIGTERM** (or **SIGKILL** if launched…
It’s rare that I get excited about a big tech acquisition but Motion VFX are very well regarded in the Final Cut Pro scene (I own a few plugins myself) for high quality work but they’ve been clearly struggling financially lately, as shown by their switch to subscriptions-only. Hope they’ll be able to continue their work and Apple’s offer just got way more interesting.
Anyone here from #akamai? Is this page still intended to function? It's trying to load CSS and JS assets from static.tm.akamai.com, which doesn't resolve.
https://www.akamai.com/us/en/clientrep-loo
Resolve AI, which offers autonomous AI agents to monitor source code and infrastructure to resolve outages, raised $125M led by Lightspeed at a $1B valuation (Rebecca Torrence/Bloomberg)
https://www.bloomberg.com/news/articles/20
Amazon agreed to pay a $25 million civil penalty
as part of a settlement with the Justice Department and the FTC
to resolve allegations the ecommerce giant’s Alexa voice assistant
violated a U.S. children’s privacy law, the DOJ announced.
Under the terms of the settlement, Amazon also is required to change its practices relating to the alleged violations and inform consumers of its practices.
According to a complaint filed in May by the DOJ on behalf of the FTC,…
I heard from a colleague that a system was just identified with a y2k bug.
Wait, how is that possible?!
A system was using 2 digits to store and transmit the year. To resolve the initial y2k problem, the system employed the date window technique, where that window ended with 2025.
https://en.wikipedia.org/wiki/Da…
Confronting the Challenges of Sensitive #OpenData
When governments collect sensitive data about private individuals, personal #privacy and governmental #transparency come into conflict. How…
Wow, seems the people farmers of surveillance capitalism have fully embraced scammer techniques now.
Ran into this new flow on a number of sites just now (Indiewire, Variety, and RollingStone) delivered by the colossal douchebags at html-load.com who run report-error.com.
They make it look like a browser error has occurred and then tell you to disable your tracker/ad blocker.
To the asshole developers who built this for them instead of refusing: Fuck you for making everyone…
It appears that you can resolve most of GrapheneOS's severe performance limitations and tendency to aggressively kill background apps (after like 15 seconds!) by globally disabling "secure app spawning" and per-app disabling the "hardened memory allocator." At that point, however, you're pretty much left with a gimped AOSP that's missing a bunch of core usability functionality yeeted in the name of security, and you might as well install LineageOS. Or maybe Ca…
RE: https://mapstodon.space/@mapasmilhaud/115829917586487087
Não sei se seria mesmo melhor; afinal, Israel continua lš.
E por cada conflito que este mapa resolve, cria um novo. Ou mais que um, que a identidade étnica e religiosa naquela zona não…
Das US-Militär hat sich offenbar sehr gut auf die Entführung von Nicolšs Maduro vorbereitet gehabt. Auch wenn Maduro ein Diktator war, untersagt die UN-Charta solch ein Kidnapping!
https://www.nd-aktuell.de/artikel/1196563.
The paradox of Nazism being both the most capitalist thing possible, defining itself as explicitly anticommunist, while masquerading as "socialism" is difficult to resolve until you understand one thing: fascism pivots around antisemitism (and its extension, conspiratorial thinking).
I'm, of course, not talking about the redefinition of "antisemitism" into meaning any criticism of Israel but rather an anti-Jewish conspiracy narrative rooted in Roman Christianity.
This is critical to understand as MAGA fascism pivots between capitalist and pseudo-anticapitalist with Trump in the middle. Hitler did the same thing. Strasserism helped the Nazis gain power by pulling in the Left. In the Nazis case they killed the Stasserists pretty quickly. Now, I think we're seeing an attempt to make the opposite pivot happen in MAGA. But it's all the same thing.
Fascism can infinitely fail to address the needs of the people while dismissing it's own responsibility for creating the problem by maintaining a permanent enemy.
This is why it's important to understand antisemitism and how to fight it. It's especially important now because the apparatus of violence in Israel is itself a tool of global fascism, and we finally have an opportunity to dismantle the whole thing. But we have to be aware of how fascists can pivot around to block this.
I've been reading Safety Through Solidarity, and I think it's especially relevant at this time.
https://www.akpress.org/safety-through-solidarity.html
Applied Materials reaches a $252M settlement with the US Commerce Department, resolving allegations it illegally shipped chipmaking equipment to SMIC in China (Reuters)
https://www.reuters.com/world/china/applied-material…
@… I dream, quite regularly, of a friend I lost touch with decades ago. In these dreams, I am often lost at his parents' home.
I awoke from one such dream an hour or so ago. Very lost. Every time this happens, I resolve to make contact. Each time, the resolution becomes a little stronger.
I know what my New Year's Resolution is.
May…
I should pay closer attention I know, but CBC tells me Carney is upping my gst rebate 25% because the cost of living has doubled or more yet my federal pensions say things are only 2% more expensive this year.
Somewhere there must be an economic equation to resolve these two values?
The marquee matchup for the open US Senate seat in North Carolina will begin to resolve into focus Tuesday,
with a well-known former Democratic governor and a Donald Trump-endorsed but untested Republican appearing to lead the field.
In the Democratic primary, former two-term governor Roy #Cooper is ahead in recent polling against the slate of other candidates who have never held elected office.…
Constructing Koszul filtrations: existence and non-existence for G-quadratic algebras
Emily Berghofer, Lisa Nicklasson, Peder Thompson, Thomas Westerb\"ack
https://arxiv.org/abs/2602.06490 https://arxiv.org/pdf/2602.06490 https://arxiv.org/html/2602.06490
arXiv:2602.06490v1 Announce Type: new
Abstract: Given a standard graded algebra over a field, we consider the relationship between G-quadraticity and the existence of a Koszul filtration. We show that having a quadratic Gr\"obner basis implies the existence of a Koszul filtration for toric algebras equipped with the degree reverse lexicographic term order and for algebras defined by binomial edge ideals. We also resolve a conjecture of Ene, Herzog, and Hibi by constructing an example where this implication fails. These results are underpinned by algorithms we develop for constructing Koszul filtrations. We also demonstrate the utility of these algorithms on the pinched Veronese algebra.
toXiv_bot_toot
The ALMA survey to Resolve #ExoKuiper belt Substructures (ARKS) - motivation, sample, data reduction, and results overview: https://www.mpg.de/26005548/arks_part_i_overview_preprint.pdf -> ALMA Reveals Teenage Years of New Worlds: https://www.mpia.de/news/science/2026-01-arks-survey - new astronomical survey captures previously unknown growing pains in the lives of planets.
Nobody really knows the scale of the U.S. housing crisis
America faces a serious housing shortage, one that Moody’s estimates would take more than 2 million new homes to resolve.
But over at Goldman Sachs, analysts put the number at
3 million.
Zillow’s estimate tops 4 million,
while Brookings projects 5 million,
and McKinsey says 8 million.
Meanwhile, congressional Republicans insist the shortfall is closer to 20 million.
Then there are the …
On the Complexity of Maximal/Closed Frequent Tree Mining for Bounded Height Trees
Kenta Komoto, Kazuhiro Kurita, Hirotaka Ono
https://arxiv.org/abs/2602.03436 https://arxiv.org/pdf/2602.03436 https://arxiv.org/html/2602.03436
arXiv:2602.03436v1 Announce Type: new
Abstract: In this paper, we address the problem of enumerating all frequent maximal/closed trees. This is a classical and central problem in data mining. Although many practical algorithms have been developed for this problem, its complexity under ``realistic assumptions'' on tree height has not been clarified. More specifically, while it was known that the mining problem becomes hard when the tree height is at least 60, the complexity for cases where the tree height is smaller has not yet been clarified. We resolve this gap by establishing results for these tree mining problems under several settings, including ordered and unordered trees, as well as maximal and closed variants.
toXiv_bot_toot
Epic v. Google: the companies propose a settlement that would have Google share its Play Store app catalog with rivals and allow alternate app stores on Android (Leah Nylen/Bloomberg)
https://www.bloomberg.com/news/articles/2026-…
Miles Rapoport, the co-chairman of Crimson Courage, an alumni group that has urged Harvard to resist any deal that compromises its academic freedom,
said Trump and his White House were “completely unreliable negotiating partners.”
“I hope this strengthens Harvard’s resolve to not make a deal with an administration that is so ready to go nuclear at any moment,” Mr. Rapoport said.
Ryan Enos, a government professor at Harvard, said Trump’s shifting demands seemed to show he wa…
Noticed only today, since moving my #Emacs environment over to the new laptop last November, all my #OrgRoam 'dailies' are not orgroam files, they are basic #OrgMode files 🥹 C-c n d d does resolve to the right org-roam command, but these files contain only a # title and nothing else.
It was likely naive of me to expect my .emacs to be relocatable.
I don't suppose there's a function to mass-convert org-files to org-roam? Well, that's what keystroke macros are for, I suppose!
On a positive note, my #Firefox kiosk issue was solved by MOZ_ENABLE_WAYLAND=0 which is odd since I'm running Wayland and it had worked fine since September until I added and then removed /etc/firefox/policies/policy.json
Ubisoft says it intentionally shut down Rainbow Six Siege and its in-game Marketplace to resolve an "incident"; reports say hackers breached internal systems (Lawrence Abrams/BleepingComputer)
https://www.bleepingcomputer.com/news/secu
Good Morning #Canada
We move onto #24 in our countdown of #CanadaRivers with the Koksoak River. At 874 km it is the largest river in the Nunavik region of northern Quebec. The name Koksoak is believed to originate from Moravian missionaries who evangelized among the Inuit of the area at the beginning of British rule and incorrectly spelled the Inuktitut word Kuujjuaq, meaning "great river." It drains a watershed of 133,400 km/2 and because of its volume, 2,800 square metres per second, its waters have been diverted as part of the massive James Bay hydroelectric project. That project drowned 7,000 square miles of Cree hunting land causing decades of conflict between Indigenous peoples and the Quebec government, with major issues resolved by a treaty signed in 2002.
Two rivers into our countdown and I'm sensing a trend: big river -> hydroelectric development -> trampling of Indigenous rights -> treaty to resolve injustices.
#CanadaIsAwesome #Geography
https://en.wikipedia.org/wiki/Koksoak_River
From these honored dead we take increased devotion
to that cause for which they gave the last full measure of devotion.
That we here highly resolve that these dead shall not have died in vain.
That this nation under God shall have a new birth of freedom
and that government of the people, by the people, and for the people
shall not perish from the earth.
-- Abraham Lincoln Gettysburg Address
Noticed only today, since moving my #Emacs environment over to the new laptop last November, all my #OrgRoam 'dailies' are not orgroam files, they are basic #OrgMode files 🥹 C-c n d d does resolve to the right org-roam command, but these files contain only a # title and nothing else.
It was likely naive of me to expect my .emacs to be relocatable.
I don't suppose there's a function to mass-convert org-files to org-roam? Well, that's what keystroke macros are for, I suppose!
On a positive note, my #Firefox kiosk issue was solved by MOZ_ENABLE_WAYLAND=0 which is odd since I'm running Wayland and it had worked fine since September until I added and then removed /etc/firefox/policies/policy.json