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Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness
arXiv:2509.08726v3 Announce Type: replace-cross Abstract: This paper focuses on the decentralized stochastic optimization problem $f(\mathbf{x})=\frac{1}{m}\sum_{i=1}^m f_i(\mathbf{x})$ over a connected network of $n$ agents, where each local function has the form of $f_i(\mathbf{x}) = {\mathbb E}\left[F(\mathbf{x};{\boldsymbol \xi}_i)\right]$ which satisfies the $(L_0,L_1)$-smooth condition but possibly nonconvex and each random variable ${\boldsymbol \xi}_i$ follows distribution ${\mathcal...
FIFA World Cup 2026: Full schedule, fixtures, groups, India timings, venues, knockout dates
The FIFA World Cup 2026 is set to usher in a new era for international football, with the tournament expanding to 48 teams for the first time in its history. Co-hosted by the United States, Canada and Mexico, the month-long spectacle will run from June 11 to July 19, 2026 (June 12 to July 20 in India), bringing together 48 nations, 1,248 players and a record 104 matches across 16 host cities. The expanded format means more teams, more matches, more knockout football and a longer route to the...
Rising seas could drown mangroves and release vast stores of carbon
Rising seas could drown mangroves and release vast stores of carbon Rising seas may push mangroves from climate heroes to unexpected carbon emitters. - Date: - June 5, 2026 - Source: - University of Exeter - Summary: - Mangroves are famous for trapping vast amounts of carbon, helping slow climate change.
Get ready for the biggest World Cup ever! What you...
The wait is almost over ... the 2026 FIFA World Cup, hosted across Canada, Mexico and the United States, is about to begin! That means we will soon start getting answers to all our burning pre-tournament questions. Will Lionel Messi lead Argentina to retain the trophy they won in Qatar in 2022 and cement his claim to GOAT status?
Ally Pally heroes Lim, Sakai, Leung and Kumar in World Cup of Darts action
World Cup of Darts 2026: Players to watch with Paul Lim, Motomu Sakai, Man Lok Leung and Nitin Kumar in action Outside the top four seeded teams at the World Cup of Darts, there are some darting legends taking part who delighted crowds at Alexandra Palace over the years; you can watch the World Cup of Darts live on Sky Sports in Frankfurt from June 11-14 Monday 8 June 2026 10:20, UK The World Cup of Darts is just around the corner and there will be some hidden gems taking part in Frankfurt...
Scientists discover giant, fan-shaped structure deep beneath the East Antarctic Ice Sheet
Scientists discover giant, fan-shaped structure deep beneath the East Antarctic Ice Sheet A mysterious geological structure that resembles a human hand with outstretched fingers has been revealed beneath East Antarctica. The discovery shows the frozen continent still hides many geological secrets. Scientists have discovered a giant, fan-shaped structure that connects several well-known basins deep beneath the East Antarctic Ice Sheet — and it may have formed in the breakup of the ancient...
Daddy longlegs may be capturing and devouring frogs in the tropical forests of South America
Daddy longlegs may be capturing and devouring frogs in the tropical forests of South America Daddy longlegs have been observed eating frogs in South America, suggesting that these arachnids may be predators of vertebrates. Daddy longlegs have been spotted devouring live frogs bigger than themselves in the tropical forests of South America, a new study reports. And this behavior might be more common than scientists expected.
All you need to know about the World Cup of Darts 2026
World Cup of Darts 2026: Schedule, dates, group stage draw as Luke Littler and Luke Humphries return to represent England All you need to know about the BetVictor World Cup of Darts 2026 with Luke Littler, Luke Humphries, Michael van Gerwen, Gary Anderson and Paul Lim in action; you can watch the World Cup of Darts live on Sky Sports in Frankfurt from June 11-14 Monday 8 June 2026 21:49, UK All you need to know about the BetVictor World Cup of Darts 2026 as No 1 Luke Littler joins forces...
Building iOS Apps with Doom Emacs
I shipped SPEEM, my first iOS app, from Doom Emacs. I don’t mean I just edited a few files in Emacs and switched back when it was time to build. I mean the whole loop: write Swift, build, boot a simulator, install the app, launch it, stream logs, restart LSP, scaffold new projects.
Popular joint supplement glucosamine linked to faster Alzheimer’s progression
Popular joint supplement glucosamine linked to faster Alzheimer’s progression - Date: - June 10, 2026 - Source: - UF Health - Summary: - A major study suggests glucosamine, a popular supplement for joint pain, could be linked to faster progression from mild cognitive impairment to Alzheimer’s disease. Researchers found a 25% higher likelihood of developing dementia among glucosamine users and uncovered biological clues that may explain why. - Share: A widely used supplement marketed for...