Jeff Cassman

“It turns out that we did not have full understanding” of the theory behind gradient descent, said Shuvomoy Das Gupta, an optimization researcher at the Massachusetts Institute of Technology. Now, he said, we’re “closer to understanding what gradient descent is doing.” The technique itself is deceptively simple. It uses something called a cost function, which… Continue reading Risky Giant Steps Can Solve Optimization Problems Faster

Quanta Magazine > 0; if (typeof predicate !== ‘function’) { throw new TypeError(‘predicate must be a function’); } var thisArg = arguments[1]; var k = 0; while (k We care about your data, and we’d like to use cookies to give you a smooth browsing experience. Please agree and read more about our privacy policy.Agree… Continue reading The Cryptographer Who Ensures We Can Trust Our Computers

Does an unseen force lurk within genetics? Biologists have made enormous strides over the past 100 years in understanding the role of the millions of parcels that convey our genetic information — DNA, RNA and proteins. But they have also learned about undetectable interactions between these biochemical agents, hiding in their midst like ghosts in… Continue reading How Genetic Surprises Complicate the Old Doctrine of DNA

Richard Dedekind was a 19th-century mathematical giant, responsible for reshaping the field right down to its foundations. He was the first to give a rigorous definition of infinity; he also came up with the definition of the real numbers that form the basis of much of modern mathematics. In 1897, he published an investigation into… Continue reading Ninth Dedekind Number Found by Two Independent Groups