Country
Tight Sample Complexity Bounds for Entropic Best Policy Identification
Essakine, Amer, Vernade, Claire
We study best-policy identification for finite-horizon risk-sensitive reinforcement learning under the entropic risk measure. Recent work established a constant gap in the exponential horizon dependence between lower and upper bounds on the number of samples required to identify an approximately optimal policy. Precisely, known lower bounds scale in โฆpe|ฮฒ|Hq where H is the horizon of the MDP, while the state-of-the-art upper bound achieves at best Ope2|ฮฒ|Hq (Mortensen and Talebi, 2025) using a generative model. We show that this extra exponential factor can be traced to overly loose concentration control for exponential utilities. To close this open gap, we revisit the analysis of this problem through a forward-model based algorithm building on KL-based exploration bonuses that we adapt to the entropic criterion. The improvement we get is due to two main novel technical innovations. We leverage the smoothness properties of the exponential utility to derive sharper concentration bounds, and we propose a new stopping rule that exploits further this tightness to obtain a sample complexity that matches the lower bound.
What is Learnable in Valiant's Theory of the Learnable?
Hanneke, Steve, Mehrotra, Anay, Velegkas, Grigoris, Zampetakis, Manolis
Valiant's 1984 paper is widely credited with introducing the PAC learning model, but it, in fact, introduced a different model: unlike PAC learning, the learner receives only positives, may issue membership queries, and must output a hypothesis with no false positives. Prior work characterized variants, including the case without queries. We revisit Valiant's original model and ask: *Which classes are learnable in it?* For every finite domain, including Valiant's Boolean-hypercube setting, we show that a class is learnable if and only if every realizable positive sample can be certified by a poly-size adaptive query-compression scheme. This is a new variant of sample compression where the learner certifies samples via a short interaction with the membership oracle. Our characterization shows that learnability in Valiant's model is strictly sandwiched between learnability in the PAC model and the variant of Valiant's model without membership queries. This is one of the rare cases where introducing membership queries changes the set of learnable classes, and not just the sample or computational complexity. Next, we study the natural extension of the model to arbitrary domains. While we do not obtain an exact characterization, our techniques readily generalize and show that the same strict sandwiching persists. Finally, we show that $d$-dimensional halfspaces, which are not learnable without queries, are learnable with queries: we give a $\mathrm{poly}(d) \tilde{O}(1/ฮต)$ sample and $\mathrm{poly}(d) \mathrm{polylog}(1/ฮต)$ query algorithm, and prove that at least $ฮฉ(d)$ samples or queries are necessary. To our knowledge, this is the first algorithm for halfspaces in Valiant's model. Together, these results uncover a surprisingly rich theory behind Valiant's original notion of learnability and introduce ideas that may be of independent interest in learning theory.
Why big tech is betting on cute mascots
Some of the world's biggest and most powerful brands are attempting to be more cute and cuddly. Tech giants Microsoft and Apple are among a wave of businesses who have recently introduced new cartoon character mascots, a tactic experts say is often used to make a brand seem more human and friendly, and to build a stronger connection with customers. Apple's character, a blue and white figure with an outsized head, has become unofficially known as Little Finder Guy. Introduced in March in social media videos to promote a new laptop, it has gained some positive coverage. Microsoft, which years ago shelved its widely-disliked Clippy paperclip virtual assistant, has also unveiled a new cartoon character for its AI assistant Copilot.
Everyone at the Musk v. Altman Trial Is Using Fancy Butt Cushions
The plaintiffs and defense have rested their cases, as well as their rear ends. The final stragglers testified on Wednesday in the trial. The witnesses generated few waves, aside from the revelation that Microsoft has so far spent over $100 billion on its partnership with OpenAI . Rather than focus on that, I wanted to bring you a candid observation that my colleague Maxwell Zeff and I can't stop talking about after spending nearly three weeks watching the trial. The courtroom is littered with butt cushions.
Instagram's New Instants App Is a Snapchat Clone for Thirst Traps
Instagram's Instants app lets you send disappearing photos--and it's probably where your horny friends will post spicy pics. Meta launched a new app on Wednesday, called Instants, that integrates with existing Instagram accounts and allows users to send unedited, disappearing photos. Instants leans into the popularity of Instagram's Stories feature and Close Friends lists, where users can selectively share images with a smaller audience. Instants is available as a stand-alone app on iOS and Android in select countries, and it's accessible through Instagram's direct messaging tab. The core of Instants, from its name to the bare-bones layout, is designed to evoke a sense of ephemerality.
Birds avoid wind turbines painted like venomous snakes
For animals, certain colors scream poison. More information Adding us as a Preferred Source in Google by using this link indicates that you would like to see more of our content in Google News results. Although largely safe, turbines still pose a danger to some migratory birds. Breakthroughs, discoveries, and DIY tips sent six days a week. Wind turbines are a net positive for a sustainable society, but that doesn't mean they don't have an environmental impact.
Olivia Dunne cozies up with Baywatch model Brooks Nader, Oxford police on alert & Rockies girl Gianna Girardi!
If this hasn't been said before, it should've been -- you can't hide in the bushes at a bachelorette pool party Shakira cranks up the heat with a World Cup song that has people dancing, buy Elvis' rhinestone jock & BBQ UCF graduates clobber commencement speaker with boos after she says AI is the'next Industrial Revolution' Hang gliding Lookout Mountain: What it's really like to be aero-towed 1,700 feet above Georgia Paige Spiranac and her mom stun the internet, Lane Kiffin's incredible shot at Ole Miss & the NFL did it again Maggie Sajak appears at Savannah Bananas game as Jackson Olson's girlfriend, e-bike near death & MEAT! Mike Pompeo: I've never seen anyone colder, more ruthless than Xi Jinping Trump to press Xi to'open up' China as tech CEOs join key summit South Carolina AG on overturned Murdaugh conviction: 'We have time to try him again' Former CDC director says'outside scientists' might have influenced COVID-19 origins findings Dr. Fauci's role in COVID cover-up was'INTENTIONAL,' CIA whistleblower says CIA calls COVID whistleblower hearing'political theater' in new statement Sen. Moreno warns Chinese cars pose data risks, could devastate US auto industry Olivia Dunne and her Baywatch co-stars are gearing up for a big season while Miller Lite continues to raise the bar. Fox News Flash top sports headlines are here. Check out what's clicking on FoxNews.com. We're halfway to June, somehow, and that means ... well, it means very little. It's a pretty slow(ish) time of year, which is fine with me.
New eye scan detects diseases years before symptoms appear
A Qatar-based professor has pioneered a non-invasive eye scan to detect neurodegenerative diseases years before symptoms appear. The technology uses AI to analyse the eye and can identify early signs of dementia, Parkinson's disease, and other diseases within minutes. Church leaders killed in latest ethnic violence in India's Manipur
DHS Plans Experiment Running 'Reconnaissance' Drones Along the US-Canada Border
The US Department of Homeland Security, in collaboration with the Defense Research and Development Canada, is looking to send autonomous drones and vehicles along the US-Canada border this fall, testing which products can stream surveillance video and sensor data between the two countries using commercial 5G networks. A new DHS call for participants frames the experiment, known as ACE-CASPER, as a multiday exercise "simulating a national emergency response scenario," with drones and ground vehicles relaying live feeds to a bi-national command-and-control center as they cross the border. Vehicle autonomy, the document notes, is secondary to its primary aim: demonstrating "resilient, persistent 5G communications." DHS and DRDC did not immediately respond to a request for comment. Scheduled for November, the tests would be the first joint US-Canada cross-border technology experiment along their shared border in nearly a decade.
Real-life Snuffleupagus found swimming in the Great Barrier Reef
More information Adding us as a Preferred Source in Google by using this link indicates that you would like to see more of our content in Google News results. The pipefish was first spotted in 2001, but remained elusive for decades. Breakthroughs, discoveries, and DIY tips sent six days a week. The bright reddish-orange hues, the fuzziness, the snout there simply is no other way to put it. This unique fish looks exactly like Mr. Snuffleupagus from .