Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets, such as graphs and point clouds.

Things to Do in L.A. Tap to enable a layout that focuses on the article. Chance of more showers in L.A., with a new storm set to hit Thursday A driver navigates a flooded street during a storm Monday in Santa Barbara. This is read by an automated voice. Please report any issues or inconsistencies here . Showers could linger in Los Angeles on Tuesday following four straight days of rain -- and even more rain is likely on Thursday and Friday.

Moreover, inconsistent bench-marking on a wide range of tasks and datasets make it difficult to assess or invigorate advances in this field.

Former Harvard president Larry Summers has said he will step back from public commitments after his emails with disgraced financier Jeffrey Epstein were made public. I am deeply ashamed of my actions and recognise the pain they have caused, he said in a statement to CBS News, the BBC's US partner. I take full responsibility for my misguided decision to continue communicating with Mr Epstein. Emails released by Congress last week show Summers, a former US treasury secretary, communicated with Epstein until the day before the paedophile's 2019 arrest for sex trafficking minors. On Tuesday, House members are expected to vote on releasing all files related to the late sex offender.

The UK is to use artificial intelligence (AI) to tackle the rising numbers of infections that have become resistant to treatment. The project - a collaboration between the Fleming Initiative and the pharmaceutical company GSK - is a battle between superbugs and supercomputers. It aims to speed up the discovery of fresh antibiotics and deliver new ways of killing other threats, including deadly fungal infections. Overusing antibiotics drives bacteria to evolve resistance to infections, which means new drugs are a priority. Drug-resistant infections are a growing problem - one known as the silent pandemic.

Meta's AI chatbot received the worst score, followed by ChatGPT; Copilot and Gemini scored slightly higher. Meta's AI chatbot received the worst score, followed by ChatGPT; Copilot and Gemini scored slightly higher. Artificial intelligence chatbots are giving inaccurate money tips, offering British consumers misleading tax advice and suggesting they buy unnecessary travel insurance, research has revealed. Tests on the most popular chatbots found Microsoft's Copilot and ChatGPT advised breaking HMRC investment limits on Isas; ChatGPT wrongly said it was mandatory to have travel insurance to visit most EU countries; and Meta's AI gave incorrect information about how to claim compensation for delayed flights. Google's Gemini advised withholding money from a builder if a job went wrong, a move that the consumer organisation Which? said risked exposing the consumer to a claim of breach of contract.

Don't blindly trust what AI tells you, says Google's Sundar Pichai People should not blindly trust everything AI tools tell them, the boss of Google's parent company Alphabet told the BBC. In an exclusive interview, chief executive Sundar Pichai said that AI models are prone to errors and urged people to use them alongside other tools. Mr Pichai said it highlighted the importance of having a rich information ecosystem, rather than solely relying on AI technology. This is why people also use Google search, and we have other products that are more grounded in providing accurate information. While AI tools were helpful if you want to creatively write something, Mr Pichai said people have to learn to use these tools for what they're good at, and not blindly trust everything they say.

Google boss warns'no company is going to be immune' if AI bubble bursts Every company would be affected if the AI bubble were to burst, the head of Google's parent firm Alphabet has told the BBC. Speaking exclusively to BBC News, Sundar Pichai said while the growth of artificial intelligence (AI) investment had been an extraordinary moment, there was some irrationality in the current AI boom. It comes amid fears in Silicon Valley and beyond of a bubble as the value of AI tech companies has soared in recent months and companies spend big on the burgeoning industry. Asked whether Google would be immune to the impact of the AI bubble bursting, Mr Pichai said the tech giant could weather that potential storm, but also issued a warning. I think no company is going to be immune, including us, he said.

What AI doesn't know: we could be creating a global'knowledge collapse' As GenAI becomes the primary way to find information, local and traditional wisdom is being lost. And we are only beginning to realise what we're missing This article was originally published as'Holes in the web' on Aeon.co A few years back, my dad was diagnosed with a tumour on his tongue - which meant we had some choices to weigh up. My family has an interesting dynamic when it comes to medical decisions. While my older sister is a trained doctor in western allopathic medicine, my parents are big believers in traditional remedies. Having grown up in a small town in India, I am accustomed to rituals. My dad had a ritual, too. Every time we visited his home village in southern Tamil Nadu, he'd get a bottle of thick, pungent, herb-infused oil from a vaithiyar, a traditional doctor practising Siddha medicine. It was his way of maintaining his connection with the kind of medicine he had always known and trusted.

Is the fall of Pokrovsk inevitable? Is Trump losing patience with Putin? A Russian missile strike on the eastern Ukrainian city of Balakliia killed three people and wounded 10, including three children, a regional military official in the Kharkiv region said on Telegram on Monday. At least two people were killed and three were injured in Russian shelling of the Nikopol district in Ukraine's Dnipropetrovsk region, Vladyslav Haivanenko, the acting head of the Dnipropetrovsk Regional Military Administration, wrote on Facebook. Russian troops captured three villages across three Ukrainian regions, the RIA news agency cited the Russian Ministry of Defence as saying on Monday.