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08/07/2023
HomOpt: A Homotopy-Based Hyperparameter Optimization Method
Machine learning has achieved remarkable success over the past couple of...
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07/10/2023
LINFA: a Python library for variational inference with normalizing flow and annealing
Variational inference is an increasingly popular method in statistics an...
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06/20/2023
Max-convolution through numerics and tropical geometry
The maximum function, on vectors of real numbers, is not differentiable....
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02/16/2023
Numerical Nonlinear Algebra
Numerical nonlinear algebra is a computational paradigm that uses numeri...
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09/22/2022
Output Mode Switching for Parallel Five-bar Manipulators Using a Graph-based Path Planner
The configuration manifolds of parallel manipulators exhibit more nonlin...
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09/04/2022
Computing geometric feature sizes for algebraic manifolds
We introduce numerical algebraic geometry methods for computing lower bo...
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08/30/2022
Some interesting birational morphisms of smooth affine quadric 3-folds
We study a family of birational maps of smooth affine quadric 3-folds x_...
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02/01/2022
AdaAnn: Adaptive Annealing Scheduler for Probability Density Approximation
Approximating probability distributions can be a challenging task, parti...
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01/30/2021
Certified evaluations of Hölder continuous functions at roots of polynomials
Various methods can obtain certified estimates for roots of polynomials....
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06/24/2020
Machine learning the real discriminant locus
Parameterized systems of polynomial equations arise in many applications...
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04/24/2020
Using monodromy to statistically estimate the number of solutions
Synthesis problems for linkages in kinematics often yield large structur...
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02/11/2020
Smooth Points on Semi-algebraic Sets
Many algorithms for determining properties of real algebraic or semi-alg...
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08/15/2019
Probabilistic Saturations and Alt's Problem
Alt's problem, formulated in 1923, is to count the number of four-bar li...
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10/17/2018
The loss surface of deep linear networks viewed through the algebraic geometry lens
By using the viewpoint of modern computational algebraic geometry, we ex...
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02/28/2018
Solving determinantal systems using homotopy techniques
Let be a field of characteristic zero and be an algebraic closure of ....
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02/01/2016