The CALPHAD (CALculation of PHAse Diagram) approach provides predictions for thermodynamically stable phases in multicomponent-multiphase materials across a wide range of temperatures. Consequently, ...

Abstract: Matrix completion refers to recovering a matrix from a small subset of its entries. It is an important topic because numerous real-world data can be modeled as low-rank matrices. One popular ...

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Have you ever thought of the humble SUM function as a secret weapon for advanced analytics? Most Excel users see it as a basic tool for adding numbers, but what if I told you it could do so much more?

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Python has its largest lead ever in Tiobe’s monthly index of programming language popularity, having jumped ahead of second-place C language by nearly 4.5 percentage points. Published yesterday, the ...

Python is convenient and flexible, yet notably slower than other languages for raw computational speed. The Python ecosystem has compensated with tools that make crunching numbers at scale in Python ...

Dr. James McCaffrey of Microsoft Research guides you through a full-code, step-by-step tutorial on "one of the most important operations in machine learning." Computing the inverse of a matrix is one ...