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www.quantamagazine.org | ||
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cacm.acm.org
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| | | | | [AI summary] The article discusses the ongoing evolution of the P vs NP problem in computational complexity theory, emphasizing its profound implications for algorithm design, cryptography, and artificial intelligence. It highlights how advances in machine learning and quantum computing are reshaping our understanding of computational limits, while also cautioning against the potential misuse of algorithms in areas like algorithmic bias and surveillance. The piece concludes by reflecting on the philosophical and practical significance of P vs NP, suggesting that its resolution could redefine the boundaries of what is computationally feasible. | |
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acko.net
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| | | | | A tale of numbers that like to turn: a different look at complex numbers and the strange things they do. | |
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aperiodical.com
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| | | | | Actual aperiodicity news on The Aperiodical! This is probably the biggest aperiodicity news we'll ever cover here: David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss... | |
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www.jeremykun.com
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| | | This post is a sequel to Formulating the Support Vector Machine Optimization Problem. The Karush-Kuhn-Tucker theorem Generic optimization problems are hard to solve efficiently. However, optimization problems whose objective and constraints have special structure often succumb to analytic simplifications. For example, if you want to optimize a linear function subject to linear equality constraints, one can compute the Lagrangian of the system and find the zeros of its gradient. More generally, optimizing... | ||
