British Wimbledon semi-finalist Arthur Fery has invited Prince George and Princess Charlotte to play tennis with him, after meeting the royals at the men's single's final. The Prince and Princess of Wales, along with Charlotte and George, arrived at the All England Club shortly after 15:00 BST on Sunday, receiving a standing ovation as they entered the royal box. Fery, who turned 24 on Sunday, said: I know the whole family are all tennis fans, so I told her if her kids ever wanted to hit, I'm free. Prince William and Catherine congratulated the tennis player on his run to the semi-finals and wished him a happy birthday. Image caption, Britain's Arthur Fery lost to Alexander Zverev in the men's single's semi-finals Fery also received a birthday card from the Prince and Princess of Wales.

A man has been arrested on suspicion of murder after a woman was fatally stabbed in Hayes, west London. The Met Police said officers were called just before 08:00 BST to a property on Uxbridge Road where they found a 24-year-old woman with stab injuries. Despite efforts of emergency services, she was pronounced dead at the scene. A man, in his 20s, was found outside the property also with stab injuries. The force said it was waiting for an update on his condition.

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Detecting structural change in dynamic network data has wide-ranging applications. Existing approaches typically divide the data into time bins, extract network features within each bin, and then compare these features over time. This introduces an inherent tradeoff between temporal resolution and statistical stability of the extracted features. Despite this tradeoff, reminiscent of time-frequency tradeoffs in signal processing, most methods rely on a fixed temporal resolution. Choosing an appropriate resolution parameter is typically difficult, and can be especially problematic in domains like cybersecurity, where anomalous behavior may emerge at multiple time scales.