6 papers
A Block Tensor Train Burer-Monteiro Framework for Low-Rank Quantum State Tomography
Shakir Showkat Sofi, Charlotte Vermeylen, Fatemeh Mohammadi +1
Quantum state tomography is a fundamental technique for estimating the state of a quantum system from measured data and plays a crucial role in evaluating the performance of quantu…
Discrete-time, discrete-state multistate Markov models from the perspective of algebraic statistics
Dario Gasbarra, Kaie Kubjas, Sangita Kulathinal +3
We study discrete-time, discrete-state multistate Markov models from the perspective of algebraic statistics. These models are widely studied in event history analysis, and are cha…
The Gröbner basis for powers of a general linear form in a monomial complete intersection
Filip Jonsson Kling, Samuel Lundqvist, Fatemeh Mohammadi +1
We study almost complete intersection ideals in a polynomial ring, generated by powers of all the variables together with a power of their sum. Our main result is an explicit descr…
Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation
Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry Wynn
We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The…
Gröbner bases, resolutions, and the Lefschetz properties for powers of a general linear form in the squarefree algebra
Filip Jonsson Kling, Samuel Lundqvist, Fatemeh Mohammadi +2
For the almost complete intersection ideals , we compute their reduced Gröbner basis for any term ordering, revealing a combinatorial…
Stable Coherent Systems
Rodrigo Iglesias, Fatemeh Mohammadi, Patricia Pascual-Ortigosa +2
We describe the notion of stability of coherent systems as a framework to deal with redundancy. We define stable coherent systems and show how this notion can help the design of re…