119 citations · 638 across the 44 of their papers we have counts for
50 papers
CHAMP: Cayley HAshing with Matrix Products
Alexander Demin, Alexey Ovchinnikov, Vladimir Shpilrain
Cayley hash functions hash binary strings by representing the bits of the message as elements of a semigroup and multiplying the corresponding elements. This gives Cayley hash func…
Practical Algebraic Parameter Estimation for Noisy Data via Gaussian Process Regression
Oren Bassik, Alexander Demin, Alexey Ovchinnikov
Parameter estimation for ordinary differential equation (ODE) models is a fundamental task that is often complicated by the limitations of conventional optimization-based methods.…
Redactable blockchains and polynomial equations
Alexander Demin, Alexey Ovchinnikov, Vladimir Shpilrain
We develop new tools for constructing redactable authenticated data structures with post-quantum security. In our construction, inverting the proposed one-way function means solvin…
Parameter Estimation in ODE Models with Certified Polynomial System Solving
Alexander Demin, Alexey Ovchinnikov, Fabrice Rouillier
We consider dynamical models given by rational ODE systems. Parameter estimation is an important and challenging task of recovering parameter values from observed data. Recently, a…
Algebraic identifiability of partial differential equation models
Helen Byrne, Heather Harrington, Alexey Ovchinnikov +3
Differential equation models are crucial to scientific processes. The values of model parameters are important for analyzing the behaviour of solutions. A parameter is called globa…
Symbolic-numeric algorithm for parameter estimation in discrete-time models with
Yosef Berman, Joshua Forrest, Matthew Grote +2
Dynamic models describe phenomena across scientific disciplines, yet to make these models useful in application the unknown parameter values of the models must be determined. Discr…