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For the high-order Taylor expansion of neural networks, we provide two implementations, HOPE and Autograd. Users can conveniently compute high-order derivatives of neural networks and obtain Taylor ...

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

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We independently evaluate all of our recommendations. If you click on links we provide, we may receive compensation. Lars Peterson joined Investopedia in 2023 as a senior editor of financial product ...

While decluttering is something we rarely look forward to, it is something that we know we'll feel better after doing. A calm and orderly home creates a calmer mind, so when I heard about the four-box ...