Driven by the remarkable breakthroughs during past decade, photonics neural networks have experienced a revival. Here, we provide general overview of progress over and sketch roadmap important future developments. We focus on photonic implementations reservoir computing machine learning paradigm, which offers conceptually simple approach that is amenable to hardware implementations. In particul...

Abstract interpretation was proposed for predicting changes of reaction networks with partial kinetic information in systems biology. This requires to compute the set difference abstractions a system linear equations under nonlinear constraints. We present first practical algorithm that can equation exactly. also new heuristics based on minimal support consequences overapproximating abstraction...

The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factoriz...