1 citations · 2 across the 10 of their papers we have counts for
11 papers
Recovering Lower-Dimensional Semialgebraic Support of a Measure from its Moments
Ruben Karapetyan, Shenyuan Ma, Ales Wodecki +1
Recovering probability measures from their moments has numerous applications, esp. in connection with the method of moments in statistics and optimization. In the setting where mea…
Power System Steady-State Estimation Revisited
Pavel Rytir, Ales Wodecki, Martin Malachov +4
In power system steady-state estimation (PSSE), one needs to consider (1) the need for robust statistics, (2) the nonconvex transmission constraints, (3) the fast-varying nature of…
Identifiability of Autonomous and Controlled Open Quantum Systems
Waqas Parvaiz, Johannes Aspman, Ales Wodecki +2
Open quantum systems are a rich area of research in the intersection of quantum mechanics and stochastic analysis. By considering a variety of master equations, we unify multiple v…
ExDBN: Learning Dynamic Bayesian Networks using Extended Mixed-Integer Programming Formulations
Pavel Rytir, Ales Wodecki, Georgios Korpas +1
Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph…
Learning Dynamic Bayesian Networks from Data: Foundations, First Principles and Numerical Comparisons
Vyacheslav Kungurtsev, Fadwa Idlahcen, Petr Rysavy +2
In this paper, we present a guide to the foundations of learning Dynamic Bayesian Networks (DBNs) from data in the form of multiple samples of trajectories for some length of time.…
ExDAG: an MIQP Algorithm for Learning DAGs
Pavel Rytir, Ales Wodecki, Jakub Marecek
There has been a growing interest in causal learning in recent years. Commonly used representations of causal structures, including Bayesian networks and structural equation models…
Spectral Methods for Quantum Optimal Control: Artificial Boundary Conditions
Ales Wodecki, Jakub Marecek, Vyacheslav Kungurtsev +3
The problem of quantum state preparation is one of the main challenges in achieving the quantum advantage. Furthermore, classically, for multi-level problems, our ability to solve…
Learning quantum Hamiltonians at any temperature in polynomial time with Chebyshev and bit complexity
Ales Wodecki, Jakub Marecek
We consider the problem of learning local quantum Hamiltonians given copies of their Gibbs state at a known inverse temperature, following Haah et al. [2108.04842] and Bakshi et al…
Scheduling a Multi-Product Pipeline: A Discretized MILP Formulation
Ales Wodecki, Pavel Rytir, Vyacheslav Kungurtsev +1
Multi-product pipelines are a highly efficient means of transporting liquids. Traditionally used to transport petroleum, its products and derivatives, they are now being repurposed…
Numerical Optimization of the Dirichlet Boundary Condition in the Phase Field Model with an Application to Pure Substance Solidification
Aleš Wodecki, Pavel Strachota, Tomáš Oberhuber +2
As opposed to the distributed control of parabolic PDE's, very few contributions currently exist pertaining to the Dirichlet boundary condition control for parabolic PDE's. This mo…
Convergence of the Finite Volume Method on Unstructured Meshes for a 3D Phase Field Model of Solidification
Aleš Wodecki, Pavel Strachota, Michal Beneš
We present a convergence result for the finite volume method applied to a particular phase field problem suitable for simulation of pure substance solidification. The model consist…