Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, “A scalable framework for learning the geometry-dependent solution ...

In this inaugural edition of Geneva Chalk Talks, Bart Vandereycken invites us to explore the mathematics behind his blackboard. The blackboard contains a schematic explanation of the dynamical ...

Average draft position (ADP) data is a useful tool in determining where and when a player might have his name called in fantasy drafts. I’ve taken this data to the next level to help you, the fantasy ...

Penn State Institute for Computational and Data Sciences co-hire and professor of mathematics in the Eberly College of Science and meteorology John Harlim uses his experience in applied mathematics ...

Abstract: We proposed an optimisation algorithm based on the sequence-to-sequence (Seq2Seq) stacking of the gate recurrent unit (GRU) model to characterise and approximate the forward problem of ...

Differential equations are equations that involve an unknown function and its derivatives with respect to one or more independent variables. They play a fundamental role in various fields of science, ...

Partial differential equations (PDEs) are used to describe a wide range of phenomena, such as heat transfer, fluid dynamics, and quantum mechanics. By solving PDEs, we can ob- tain insights into the ...

Keyword: sgd There is no result Keyword: optimization A recommender for the management of chronic pain in patients undergoing spinal cord stimulation Authors: Authors: Tigran Tchrakian, Mykhaylo ...

Abstract: Finding Nash equilibrial policies for two-player differential games requires solving Hamilton-Jacobi-Isaacs (HJI) PDEs. Self-supervised learning has been used to approximate solutions of ...