Dick Cheney dead: Vice President who served with George W. Bush and took leading role in'war on terror' dies at 84 Why Tuesday's races aren't as close as you think: White House analyst CRAIG KESHISHIAN reveals what the polls always miss How Charles reacted when'difficult' William asked if he could do fewer engagements: Biographer ROBERT JOBSON reveals the'tension', secrets of Kate's family life - and how couple are making Prince George'strong' 'She used it to freshen up... it killed her': My wife died of cancer at 63. She never smoked or drank. Taylor Swift enjoys girls' night with squad member Gigi Hadid in NYC after Travis Kelce's ex took swipe Warren Buffett's $6billion stock exit is his loudest warning yet Father reveals'radical faith' spiral of American son killed in hail of arrows by reclusive tribe as new believers consider following him to isolated island My ex is the international fugitive Democrat who's fled to Europe with our nine-year-old son. Here are the disgraceful secrets she'd hate the world to know Woke Gen-Z's revenge: Poll reveals staggering number of under-30s who back Mamdani while their parents are terrified of a return to 1980s New York Coca-Cola faces huge backlash for using AI in its'Holidays are Coming' Christmas advert for the second year in a row - as one viewer calls it the'best ad I've ever seen for Pepsi' Explosive war sparked by Hollywood agent's nepo-baby son dismembering his wife It's the trendy new diagnosis for everything from fatigue to brain fog... but here's the truth about your gut problem - and how to fix it: DR EMILY LEEMING Dallas Cowboys agree huge trade for rival's defensive captain just hours before the NFL deadline Republicans join joyous liberals in dumping on Dick Cheney's death: 'Hell is hot!' AMANDA PLATELL: Fergie's delusions have reached a new low. I can't believe Beatrice and Eugenie are egging her on.

Dick Cheney dead: Vice President who served with George W. Bush and took leading role in'war on terror' dies at 84 Father reveals'radical faith' spiral of American son killed in hail of arrows by reclusive tribe as new believers consider following him to isolated island How Charles reacted when'difficult' William asked if he could do fewer engagements: Biographer ROBERT JOBSON reveals the'tension', secrets of Kate's family life - and how couple are making Prince George'strong' Why Tuesday's races aren't as close as you think: White House analyst CRAIG KESHISHIAN reveals what the polls always miss Taylor Swift enjoys girls' night with squad member Gigi Hadid in NYC after Travis Kelce's ex took swipe Warren Buffett's $6billion stock exit is his loudest warning yet Woke Gen-Z's revenge: Poll reveals staggering number of under-30s who back Mamdani while their parents are terrified of a return to 1980s New York Dallas Cowboys agree huge trade for rival's defensive captain just hours before the NFL deadline'She used it to freshen up... it killed her': My wife died of cancer at 63. She never smoked or drank. Explosive war sparked by Hollywood agent's nepo-baby son dismembering his wife Coca-Cola faces huge backlash for using AI in its'Holidays are Coming' Christmas advert for the second year in a row - as one viewer calls it the'best ad I've ever seen for Pepsi' Sex aids and poppers... the sordid discoveries made by royal aides after party Andrew threw for Epstein and Ghislaine Maxwell - and the truth about those massages: ROBERT JOBSON Republicans reveal plot to stop'insurrectionist' democratic socialist Zohran Mamdani being sworn in as NYC mayor using Civil War-era clause Karoline Leavitt, 28, is accused of'airbrushing' husband, 60, in glamor White House snaps Texas governor warns any New Yorkers trying to flee south after Mamdani's win will be slapped with 100% tariff Shohei Ohtani makes rare speech in English as Dodgers star's wife soaks up the spotlight at World Series parade It's the trendy new diagnosis for everything from fatigue to brain fog... but here's the truth about your gut problem - and how to fix it: DR EMILY LEEMING Walmart boss warns of AI shake-up that will impact 2.1 million jobs at America's biggest employer AMANDA PLATELL: Fergie's delusions have reached a new low. I can't believe Beatrice and Eugenie are egging her on. Wicked star Jonathan Bailey becomes first ever openly gay man to be named People's Sexiest Man Alive A newly-discovered iPhone glitch is making users miss their alarm - including Cat Burns from Celebrity Traitors .

Rise of the'porno-trolls': how one porn platform made millions suing its viewers Instead, it was a subpoena. He had been sued in federal court for illegally downloading 80 movies. Some of the titles sounded cryptic - Do Not Worry, We Are Only Friends - or banal, like International Relations Part 2. Others were less subtle: He Loved My Big Ass, He Loved My Big Butt, and My Big Booty Loves Anal. Brown, who had spent decades investigating sex crimes, claimed he had never watched any of them. His years "dealing with pimping", he wrote in a court filing, left him "with no interest in pornography". He had been married for 40 years, he did not need to download Hot Wife, another title in the list.

Dick Cheney dead: Vice President who served with George W. Bush and took leading role in'war on terror' dies at 84 Republicans reveal plot to stop'insurrectionist' democratic socialist Zohran Mamdani being sworn in as NYC mayor using Civil War-era clause Warren Buffett's $6billion stock exit is his loudest warning yet Father reveals'radical faith' spiral of American son killed in hail of arrows by reclusive tribe as new believers consider following him to isolated island How Charles reacted when'difficult' William asked if he could do fewer engagements: Biographer ROBERT JOBSON reveals the'tension', secrets of Kate's family life - and how couple are making Prince George'strong' Karoline Leavitt, 28, is accused of'airbrushing' husband, 60, in glamor White House snaps Taylor Swift enjoys girls' night with squad member Gigi Hadid in NYC after Travis Kelce's ex took swipe Wicked star Jonathan Bailey becomes first ever openly gay man to be named People's Sexiest Man Alive Texas governor warns any New Yorkers trying to flee south after Mamdani's win will be slapped with 100% tariff'She used it to freshen up... it killed her': My wife died of cancer at 63. She never smoked or drank. Explosive war sparked by Hollywood agent's nepo-baby son dismembering his wife Walmart boss warns of AI shake-up that will impact 2.1 million jobs at America's biggest employer Sex aids and poppers... the sordid discoveries made by royal aides after party Andrew threw for Epstein and Ghislaine Maxwell - and the truth about those massages: ROBERT JOBSON Dallas Cowboys agree huge trade for rival's defensive captain just hours before the NFL deadline George W. Bush's hilarious reaction to 315lb Cardinals star Calais Campbell caught on ref's mic at Cowboys game America's electric car market runs out of juice with sales plunging as much as 80% Shohei Ohtani makes rare speech in English as Dodgers star's wife soaks up the spotlight at World Series parade It's the trendy new diagnosis for everything from fatigue to brain fog... but here's the truth about your gut problem - and how to fix it: DR EMILY LEEMING Insane survival skills of dad who got lost in wilderness for 20 days as he's found alive AMANDA PLATELL: Fergie's delusions have reached a new low. I can't believe Beatrice and Eugenie are egging her on. Interstellar Comet 3I/ATLAS is seen for the first time since it disappeared behind the sun - and it's even BRIGHTER than when it went in READ MORE: Interstellar visitor proves Einstein's theory Interstellar comet 3I/ATLAS has been spotted for the first time since it disappeared behind the sun.

"You shouldn't have put your content on the internet if you didn't want it to be on the internet," Common Crawl's executive director says. Listen to more stories on the Noa app. T he Common Crawl Foundation is little known outside of Silicon Valley. For more than a decade, the nonprofit has been scraping billions of webpages to build a massive archive of the internet. This database--large enough to be measured in petabytes--is made freely available for research.

Republicans reveal plot to stop'insurrectionist' democratic socialist Zohran Mamdani being sworn in as NYC mayor using Civil War-era clause Warren Buffett's $6billion stock exit is his loudest warning yet Texas governor warns any New Yorkers trying to flee south after Mamdani's win will be slapped with 100% tariff I won't ever forget what I saw at Andy Cohen's party. He may admit he's hooking up with guys on every dating app but this is the truth about men like him: KENNEDY As melatonin's terrifying link to fatal heart condition is revealed, experts weigh in on sleep aid's safety More young people developing'old person disease' of the gut with increased risk of severe complications Taylor Swift enjoys girls' night with squad member Gigi Hadid in NYC after Travis Kelce's ex took swipe Wicked star Jonathan Bailey becomes first ever openly gay man to be named People's Sexiest Man Alive Karoline Leavitt, 28, is accused of'airbrushing' husband, 60, in glamor White House snaps George W. ...

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--Audio denoising is critical in signal processing, enhancing intelligibility and fidelity for applications like restoring musical recordings. This paper presents a proof -of-concept for adapting a state -of -the -art neural audio codec, the Descript Audio Codec (DAC), for music denoising. This work overcomes the limitations of traditional architectures like U - Nets by training the model on a large-scale, custom -synthesized dataset built from diverse sources. Training is guided by a multi-objective loss function that combines time-domain, spectral, and signal -level fidelity metrics. Ultimately, this paper aims to present a PoC for high -fidelity, generative audio restoration. Noise reduction is a fundamental part of audio signal processing, substantially improving signal quality and intelligibility across domains like speech processing [1-3], music production and restoration [1], and bioacoustics analysis [2].

Large language models (LLMs) have demonstrated significant potential in solving recommendation tasks. With proven capabilities in understanding user preferences, LLM personalization has emerged as a critical area for providing tailored responses to individuals. Current studies explore personalization through prompt design and fine-tuning, paving the way for further research in personalized LLMs. However, existing approaches are either costly and inefficient in capturing diverse user preferences or fail to account for timely updates to user history. To address these gaps, we propose the Memory-Assisted Personalized LLM (MAP). Through user interactions, we first create a history profile for each user, capturing their preferences, such as ratings for historical items. During recommendation, we extract relevant memory based on similarity, which is then incorporated into the prompts to enhance personalized recommendations. In our experiments, we define a new task that enables testing with varying memory size under two scenarios: single domain where memory and tasks are from the same category and cross-domain (e.g. memory from movies and recommendation tasks in books). The results show that MAP outperforms regular LLM-based recommenders that integrate user history directly through prompt design. Moreover, as user history grows, MAP's advantage increases in both scenarios, making it more suitable for addressing successive personalized user requests.

We analyse how the sampling dynamics of distributions evolve in score-based diffusion models using cross-fluctuations, a centered-moment statistic from statistical physics. Specifically, we show that starting from an unbiased isotropic normal distribution, samples undergo sharp, discrete transitions, eventually forming distinct events of a desired distribution while progressively revealing finer structure. As this process is reversible, these transitions also occur in reverse, where intermediate states progressively merge, tracing a path back to the initial distribution. We demonstrate that these transitions can be detected as discontinuities in $n^{\text{th}}$-order cross-fluctuations. For variance-preserving SDEs, we derive a closed-form for these cross-fluctuations that is efficiently computable for the reverse trajectory. We find that detecting these transitions directly boosts sampling efficiency, accelerates class-conditional and rare-class generation, and improves two zero-shot tasks--image classification and style transfer--without expensive grid search or retraining. We also show that this viewpoint unifies classical coupling and mixing from finite Markov chains with continuous dynamics while extending to stochastic SDEs and non Markovian samplers. Our framework therefore bridges discrete Markov chain theory, phase analysis, and modern generative modeling.