Computational algebraic geometry applies algorithmic techniques to problems in algebraic geometry, focusing on the effective manipulation of polynomial ideals and the algebraic varieties they define.

Scientists have used computational algebraic geometry to study predictions for particle physics experiments, such as those at the Large Hadron Collider (LHC), which first detected the Higgs particle ...

For the statistical stochastic models with hierarchical structure such as Deep networks, Gaussian mixture models and hidden Markov models, algebraic geometry have contributed to the performance ...