Systemic risk and stability in financial networks

D Acemoglu, A Ozdaglar… - American Economic …, 2015 - aeaweb.org
This paper argues that the extent of financial contagion exhibits a form of phase transition:
as long as the magnitude of negative shocks affecting financial institutions are sufficiently …

[KSIĄŻKA][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Breaking the spell of nestedness: the entropic origin of nestedness in mutualistic systems

C Payrató-Borras, L Hernández, Y Moreno - Physical Review X, 2019 - APS
Mutualistic interactions, those that are naturally beneficial for both interacting species, are
recurrently found in ecosystems. Observations of natural systems show that if we draw …

A weak group inverse for rectangular matrices

DE Ferreyra, V Orquera, N Thome - Revista de la Real Academia de …, 2019 - Springer
In this paper, we extend the notion of weak group inverse to rectangular matrices (called W-
weighted WG inverse) by using the weighted core EP inverse recently investigated. This …

When cyclic coordinate descent outperforms randomized coordinate descent

M Gurbuzbalaban, A Ozdaglar… - Advances in Neural …, 2017 - proceedings.neurips.cc
The coordinate descent (CD) method is a classical optimization algorithm that has seen a
revival of interest because of its competitive performance in machine learning applications …

The W -weighted BT inverse

DE Ferreyra, N Thome, C Torigino - Quaestiones Mathematicae, 2023 - Taylor & Francis
In this paper we extend the definition of BT inverse of square complex matrices to
rectangular matrices. This new generalized inverse (called the W-weighted BT inverse) …

Hitting time quasi-metric and its forest representation

P Chebotarev, E Deza - Optimization Letters, 2020 - Springer
Let m _ ij m^ ij be the hitting (mean first passage) time from state i to state j in an n-state
ergodic homogeneous Markov chain with transition matrix T. Let Γ Γ be the weighted …

Representations and properties of the W-Weighted Drazin inverse

PS Stanimirović, VN Katsikis, H Ma - Linear and Multilinear Algebra, 2017 - Taylor & Francis
Several new representations of the W-weighted Drazin inverse are introduced. These
representations are expressed in terms of various matrix powers as well as in terms of matrix …

Representations of the weighted WG inverse and a rank equation's solution

DE Ferreyra, V Orquera, N Thome - Linear and Multilinear Algebra, 2023 - Taylor & Francis
In this paper, we present several representations of the W-weighted WG inverse. These
representations are expressed in terms of matrix powers as well as in terms of matrix …

Kernels on graphs as proximity measures

K Avrachenkov, P Chebotarev, D Rubanov - … and models for the web-graph, 2017 - Springer
Kernels and, broadly speaking, similarity measures on graphs are extensively used in graph-
based unsupervised and semi-supervised learning algorithms as well as in the link …