Abstract: In traditional binary classification tasks, learning algorithms conventionally distinguish positive and negative samples by leveraging fully labeled training data. However, in practical ...

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Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...

OpenAI has said that its unreleased AI reasoning model solved a decades-old mathematical problem that had remained unsolved for nearly 80 years. The model produced an original mathematical proof ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

For nearly 80 years, mathematicians believed they understood the limits of a famous geometry puzzle first posed by legendary Hungarian mathematician Paul Erdős. Now, an AI model developed by OpenAI ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Cold case of woman’s murder in seaside town solved after 20 years due to DNA found on cigarette butt The latest headlines from our reporters across the US sent straight to your inbox each weekday Your ...

Quote of the day by Søren Kierkegaard: 'Life is not a problem to be solved, but a reality to be...' - inspiring lessons on living life in the present, embracing uncertainty and experiences by Danish ...

Abstract: The technique of deep learning has been very popular for solving problems in many different fields for a long time, including analyzing medical images. In the last few years, clinical image ...

President Donald Trump’s visit to China this week offers an opportunity to revisit trade negotiations on critical minerals. When President Trump met with Chinese leader Xi Jinping last October in ...