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A Unifying View of Anchoring via Operator-Side Tikhonov Regularization
Announce Type: cross Abstract: Anchored fixed point and monotone equation methods, including Halpern iteration, extra anchored gradient, and their relatives, add a vanishing pull toward a reference point to obtain last-iterate guarantees. Existing anchored variants often achieve sharp last-iterate guarantees, but from the update-level perspective the placement of the anchor can be algorithm-specific and conceptually opaque. We show that anchoring admits a single operator-side construction:...
The Painful Truth About Long Covid
Nothing about long Covid adds up. Consider prevalence rates: How could one study find it affected 3.3 percent of the population of the UK but others an alarming 51 percent of South Americans and 86 percent of Egyptians? Or treatment methods: The BMJ’s systematic review of ways to treat long Covid lists two as supported by moderate evidence, cognitive behavioral therapy and physical exercise.
Around 1 in 5 young people use AI chatbots for mental health advice, survey finds
Nearly 1 in 5 adolescents and young adults are turning to AI chatbots for advice when they’re sad, angry, nervous or stressed, according to a new study. The findings, from the research institute RAND, represent an increase from early 2025, when the nonprofit conducted a similar survey. At the time, around 13% of respondents said they used chatbots for such advice, but the share rose to 19% in the group’s latest survey in November, the results of which were published Monday in the journal...
Bad Ideas About Juvenile Crime That Won’t Go Away
On the morning of October 3, 2012, a trio of unarmed 16- and 17-year-old boys in Elkhart, Indiana, banded together to commit a burglary in their neighborhood. To avoid a confrontation, they planned to hit a vacant home. After some dogs scared them off their first target, the teens called two more friends, who were 18 and 21, to help them break into another neighbor’s house, which seemed empty.
Six roads to safety: A critical threshold for wildfire survival
Six roads to safety: A critical threshold for wildfire survival Sadie Harley Scientific Editor Robert Egan Associate Editor If your community was threatened by a wildfire, would you be able to quickly evacuate? A new study from UC Santa Barbara reveals that the number of roads out of a community may be one of the strongest predictors of wildfire fatalities, and that a surprisingly specific threshold separates high-risk communities from safer ones. Published in Proceedings of the National...