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There have always been two sides to the Meta CEO. But since the beginning of Trump's second term, the nice side has taken a back seat. Ruthlessness is now the name of the game. January 31, 2024, is an uncomfortable day in Washington. An icy wind is whistling around the corners of the Dirksen Senate Office Building, right next to the Capitol. Inside, the atmosphere is not much more welcoming. Indeed, it feels downright hostile. In the large hall, women and men are holding up signs - silent, in mourning and protest. On them are pictures of girls and boys, 12, 13, 14, 15 years old. Harassed, sexually abused, mistreated on social networks on the internet. Many of the children have died from the consequences. And the man primarily to blame is said to be the one sitting in a blue suit in the front row: Mark Zuckerberg, 39 years old at the time. His usually radiant boyish face is expressionless.

In this work, we investigate the geometry of the k-th homology embedding and focus on cases reminiscent of spectral clustering. Namely, we analyze the connected sum of manifolds as a perturbation of the direct sum of their homology embeddings.

Unfortunately,training large CNNs is challenging for resource-constrained edge devices (e.g., smartphones, IoT devices, and edge servers).

Latin megastar Bad Bunny performed a medley of his top hits at the Super Bowl on Sunday in a star-studded show that was criticised as terrible by the US president. The Puerto Rican singer, also known as Benito Antonio Martinez Ocasio, was joined on stage by a host of fellow music stars including Lady Gaga, Ricky Martin and Cardi B. Sitting in the stands, Kim Kardashian and Lewis Hamilton made their first major public appearance together, after weeks of speculation about their romance. The seven-time Formula 1 world champion and the reality TV star were spotted chatting and smiling together during the game, and were caught on video by NBC News. Fellow musical superstars Lady Gaga, Cardi B and Jessica Alba joined the dancers on stage alongside Bad Bunny, who was the world's most-played artist in 2025 on Spotify, according to the streaming service. Chilean-American actor Pedro Pascal and Puerto Rican singer Ricky Martin also joined the performance, which was populated by a largely pan-American crowd of celebrities.