54 citations · 115 across the 5 of their papers we have counts for
6 papers
Functional regression clustering with multiple functional gene expressions
Susana Conde, Shahin Tavakoli, Daphne Ezer
Gene expression data is often collected in time series experiments, under different experimental conditions. There may be genes that have very different gene expression profiles ov…
A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps
Martin Idel
Given a nonnegative matrix , can you find diagonal matrices such that is doubly stochastic? The answer to this question is known as Sinkhorn's theorem. It h…
Perturbation Bounds for Williamson's Symplectic Normal Form
Martin Idel, Sebatian Soto Gaona, Michael M. Wolf
Given a real-valued positive semidefinite matrix, Williamson proved that it can be diagonalised using symplectic matrices. The corresponding diagonal values are known as the symple…
On quantum additive Gaussian noise channels
Martin Idel, Robert Koenig
We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form…
An operational measure for squeezing
Martin Idel, Daniel Lercher, Michael M. Wolf
We propose and analyse a mathematical measure for the amount of squeezing contained in a continuous variable quantum state. We show that the proposed measure operationally quantifi…
Sinkhorn normal form for unitary matrices
Martin Idel, Michael M. Wolf
Sinkhorn proved that every entry-wise positive matrix can be made doubly stochastic by multiplying with two diagonal matrices. In this note we prove a recently conjectured analogue…