In this paper, it is shown, for the first time, that centralized performance is achievable in decentralized learning without sharing the local datasets. Specifically, when clients adopt an empirical risk minimization with relative-entropy regularization (ERM-RER) learning framework and a forward-backward communication between clients is established, it suffices to share the locally obtained Gibbs measures to achieve the same performance as that of a centralized ERM-RER with access to all the datasets. The core idea is that the Gibbs measure produced by client~$k$ is used, as reference measure, by client~$k+1$. This effectively establishes a principled way to encode prior information through a reference measure. In particular, achieving centralized performance in the decentralized setting requires a specific scaling of the regularization factors with the local sample sizes. Overall, this result opens the door to novel decentralized learning paradigms that shift the collaboration strategy from sharing data to sharing the local inductive bias via the reference measures over the set of models.

You can now buy a humanoid robot housekeeper for less than the price of a second-hand car. But before splashing out, there's something you need to know Science fiction is strewn with humanoid robots, from bad-tempered Bender in to cunning Ava in . And it has long seemed like that's the natural home for such robots - on the screen and in books. The idea of a walking, talking, functioning robot with two arms and two legs has appeared to be a distant dream. Last year, machines ran, boxed and even played football at China's World Humanoid Robot Games, albeit sometimes falling over in the process . Meanwhile, companies have been readying their own range of humanoids that promise to do something a bit more useful: help around the house .

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Unlike AC, DAC can dynamically adjust the algorithm's configuration during

Barnsley has struggled with unemployment and deprivation since the coal pits closed. Barnsley has struggled with unemployment and deprivation since the coal pits closed. Barnsley rebranded UK's first'tech town' as US giants join AI push In 2002 Barnsley toyed with a redesign as a Tuscan hill village as it sought out a brighter post-industrial future. In 2021 it adopted the airily vague slogan "the place of possibilities". Now it is trying a different image: Britain's first "tech town".

Hillsborough police report'may not give answers' Families of some of those killed in the Hillsborough disaster fear they may once again be denied full accountability as the long-delayed report into police conduct surrounding the stadium crush is due to be published on Tuesday. Several people who worked on the Independent Office for Police Conduct (IOPC) investigation - including a former director - have told the BBC they doubt the report will deliver all the answers survivors and bereaved relatives were promised. Some have warned that it may lead to accusations of another Hillsborough cover-up. Families have also criticised the length and cost of the investigation - the largest of its kind ever carried out in England and Wales. The police watchdog has spent more than 13 years examining the actions of South Yorkshire Police and other forces in the aftermath of the 1989 disaster in which 97 Liverpool supporters were killed during an FA Cup semi-final at Sheffield Wednesday's Hillsborough ground.

Often in machine learning, data are collected as a combination of multiple conditions, e.g., the voice recordings of multiple persons, each labeled with an ID.

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