We perform a wide variety of experiments and demonstrate that OST outperforms the existing algorithms in the low-shot scenario. On most datasets the method also presents a comparable accuracy with a single training example to the accuracy obtained by the other methods for the entire set of domainA images.

Uniform stability of a learning algorithm is a classical notion of algorithmic stability introduced to derive high-probability bounds on the generalization error (Bousquet and Elisseeff, 2002). Specifically, for a loss function with range bounded in $[0,1]$, the generalization error of $\gamma$-uniformly stable learning algorithm on $n$ samples is known to be at most $O((\gamma +1/n) \sqrt{n \log(1/\delta)})$ with probability at least $1-\delta$. Unfortunately, this bound does not lead to meaningful generalization bounds in many common settings where $\gamma \geq 1/\sqrt{n}$. At the same time the bound is known to be tight only when $\gamma = O(1/n)$. Here we prove substantially stronger generalization bounds for uniformly stable algorithms without any additional assumptions. First, we show that the generalization error in this setting is at most $O(\sqrt{(\gamma + 1/n) \log(1/\delta)})$ with probability at least $1-\delta$. In addition, we prove a tight bound of $O(\gamma^2 + 1/n)$ on the second moment of the generalization error. The best previous bound on the second moment of the generalization error is $O(\gamma + 1/n)$. Our proofs are based on new analysis techniques and our results imply substantially stronger generalization guarantees for several well-studied algorithms.

For decades, handmade narco subs have been some of the cocaine trade's most elusive and productive workhorses, ferrying multi-ton loads of illicit drugs from Colombian estuaries toward markets in North America and, increasingly, the rest of the world. Now off-the-shelf technology--Starlink terminals, plug-and-play nautical autopilots, high-resolution video cameras--may be advancing that cat-and-mouse game into a new phase. Uncrewed subs could move more cocaine over longer distances, and they wouldn't put human smugglers at risk of capture. And law enforcement around the world is just beginning to grapple with what this means for the future. This story is from the next print issue of magazine, which is all about crime. Google DeepMind is calling for the moral behavior of large language models--such as what they do when called on to act as companions, therapists, medical advisors, and so on--to be scrutinized with the same kind of rigor as their ability to code or do math.

'The advent of AI is drawing the world's attention to the extreme imbalance of power between employers and their employees.' 'The advent of AI is drawing the world's attention to the extreme imbalance of power between employers and their employees.' New technology has workers spooked, but experts say it's creating an opening for a resurgence in worker power In 2026, it's a scary time to work for a living. Gone are the days of quiet quitting, the Great Resignation, and the highly visible union-organizing battles that began the decade and signaled that perhaps worker power was on the rise again in the US. Instead, much of that momentum is being crowded out of our minds by anxieties: a worsening affordability crisis, geopolitical instability, and the specter of artificial intelligence looming over the workplace.

Trump rushed into Iran crisis meeting as insider warns'strike within hours' 'Deeply concerned' King Charles backs Andrew investigation after royal's arrest and says the'law must take its course' Model agency boss who'scouted' victims for Epstein was secretly planning to testify against him... only to suddenly change his mind before meeting chillingly similar fate to notorious pedophile The monarchy has survived wars and countless crises... but this is why it may not survive Andrew's arrest - and why the rift at the heart of the family is about to get so much worse: ROBERT JOBSON Widower whose wife set herself on fire after alleged affair with married congressman finally breaks silence to reveal their texts... and heartbreaking video of her death Whereabouts of Andrew's ex-wife and daughters remain unknown as former prince is arrested over public misconduct claims Andrew'pushed through' appointment of Jeffery Epstein's fixer to board of Windsor Castle trust despite opposition Virginia Giuffre's family hail Andrew's arrest and say'he was never a prince' But countless women (and some husbands) are secretly getting it for thrilling sex side effects... risking a truly putrid complication FBI'has names and photos of people who may be masked suspect caught on surveillance video outside Nancy Guthrie's home' How DID Beatrice afford her 20s jet-set lifestyle? US assembles the most aerial firepower since Iraq War as Trump prepares to strike Iran'in just DAYS'... and president is'choosing between two devastating options of attack' The side-effects were unbearable and I swore off the drug forever. This is the simple diet that helped me shed the pounds... and I'm not alone. The Prince and Princess of Wales express support for King Charles' statement after Andrew's arrest Jason Bateman says he quit cocaine and alcohol to ease'tension' in his marriage Humiliating real reason Mia Goth left Shia LaBeouf: What'friends and lovers' are all saying behind his back... after Mardi Gras brawl What happens now Andrew Mountbatten-Windsor has been arrested? I went into early menopause in my 30s.

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Yes,werequire2n > dforthereason9 you mention. A viable stopping criterion of Algorithm 2is to check the angle difference of projection directions10 between two consecutive iterations. The algorithm is terminated when the angle is close to zero. Our theory can be readily applied to this case.

Diffusion models (DMs) have been significantly developed and widely used in various applications due to their excellent generative qualities.

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