Find out why backpropagation and gradient descent are key to prediction in machine learning, then get started with training a simple neural network using gradient descent and Java code. Most ...

American Journal of Mathematics, Vol. 138, No. 3 (June 2016), pp. 821-878 (58 pages) Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we ...

The input argument fun refers to an IML module that specifies a function that returns f, a vector of length m for least-squares subroutines or a scalar for other optimization subroutines. The returned ...

Inositols are ancient molecules that were probably first made by a common ancestor of Archaea and Eukarya more than 2,000 million years ago. They are used by relatively few Bacteria.The ...

Big advances in math can happen when mathematicians move ideas into areas where they seem like they shouldn’t belong. My latest story is about the mathematician June Huh, who came into the field late ...