The second order sequential best rotation (SBR2) algorithm was originally developed for achieving the strong decorrelation of convolutively mixed sensor array signals. It was observed that the algorithm always seems to produce spectrally majorized output signals, but this property has not previously been proven. In this work, we have taken a fresh look at the SBR2 algorithm in terms of its pote...

Force-directed layout is typically used to create organic-looking, straight-edge drawings of large graphs while combinatorial techniques are generally preferred for high-quality layout of small to medium sized graphs. In this paper we integrate edge-routing techniques into a forcedirected layout method based on constrained stress majorisation. Our basic procedure takes an initial layout for the...

L’école joue aujourd’hui un rôle central dans le processus de revitalisation du breton, langue en situation minoritaire. À ce titre, l’enseignement breton se doit prendre particulièrement compte contexte sociolinguistique et idéologique lequel il s’inscrit. Cet enseignement, progression constante depuis 40 ans, présente des atouts certains pour son développement, mais les rapports minoration / ...

Non-sidelooking airborne radar encounters significant non-stationary and heterogeneous clutter environments, resulting in a severe shortage of samples. Sparse recovery-based space-time adaptive processing (SR-STAP) methods can achieve good suppression performance with limited Nonetheless, grid-based SR-STAP algorithms encounter off-grid effects non-sidelooking arrays, which severely degrade the...

‎Let $lambda_1,dots,lambda_n$  be positive real numbers such that $sum_{k=1}^n lambda_k=1$. In this paper, we prove that for any positive operators $a_1,a_2,ldots, a_n$ in semifinite von Neumann algebra $M$ with faithful normal trace that $t(1)

Quantum state engineering and quantum computation rely on procedures that, up to some fidelity, prepare a quantum object in a pure state. If the object is initially in a statistical mixture, then this increases the largest eigenvalue of its probability spectrum. We refer to this as probabilistic information erasure. Such processes are said to occur within Landauer’s framework if they rely on an...

For positive semidefinite matrices A and B, Ando and Zhan proved the inequalities |||f(A) + f(B)||| ≥ |||f(A + B)||| and |||g(A) + g(B)||| ≤ |||g(A + B)|||, for any unitarily invariant norm, and for any non-negative operator monotone f on [0,∞) with inverse function g. These inequalities have very recently been generalised to non-negative concave functions f and non-negative convex functions g,...

We investigate entropic uncertainty relations for two or more binary measurements. We show that the effective anti-commutator is a useful measure of incompatibility and gives rise to strong uncertainty relations. Since the effective anti-commutator can be certified device-independently it leads us to device-independent uncertainty. Our relations, expressed in terms of conditional Rényi entropie...

The canonical correlation or Kubo-Mori scalar product on the state space of a finite quantum system is a natural generalization of the classical Fisher metric. This metric is induced by the von Neumann entropy or the relative entropy of the quantum mechanical states. An important conjecture of Petz that the scalar curvature of the state space with Kubo-Mori scalar product as Riemannian metric i...