Tag: math
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In a landmark study, OpenAI researchers reveal that large language models will always produce plausible but false outputs, even with perfect data, due to fundamental statistical and computational limits. https://www.computerworld.com/article/4059383/openai-admits-ai-hallucinations-are-mathematically-inevitable-not-just-engineering-flaws.html more ›
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In a landmark study, OpenAI researchers reveal that large language models will always produce plausible but false outputs, even with perfect data, due to fundamental statistical and computational limits. https://www.computerworld.com/article/4059383/openai-admits-ai-hallucinations-are-mathematically-inevitable-not-just-engineering-flaws.html more ›
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The world’s leading mathematicians were stunned by how adept artificial intelligence is at doing their jobs https://www.scientificamerican.com/article/inside-the-secret-meeting-where-mathematicians-struggled-to-outsmart-ai/?utm_source=substack&utm_medium=email more ›
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A young computer scientist and two colleagues show that searches within data structures called hash tables can be much faster than previously deemed possible. https://www.quantamagazine.org/undergraduate-upends-a-40-year-old-data-science-conjecture-20250210/ more ›
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Everyone has their favourite example of a trick that reliably gets a certain job done, even if they don’t really understand why. Back in the day, it might have been… more ›
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In late 2017, Ashwin Sah and Mehtaab Sawhney met as undergraduates at the Massachusetts Institute of Technology. Since then, the pair have written a mind-boggling 57 math proofs together, many… more ›
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Our world runs on randomly generated numbers and without them a surprising proportion of modern life would break down. So, why are they so hard to find? The friends did… more ›
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Simple mathematical concepts such as counting appear to be firmly anchored in the natural process of thinking. Studies have shown that even very young children and animals possess such skills… more ›
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Claude Shannon, American mathematician, a stern but somewhat kind dark look in his eyes, defined information as the measure of novelty or surprise one can expect in a message -… more ›