[PDF] Top 20 The von Neumann entropy of networks
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The von Neumann entropy of networks
... assumes finite values in the range [0, 2]. Thus R(G) is also finite. In particular, since R(G) is an average, it re- mains finite even if considering an arbitrary large number of vertices. This implies that the ... See full document
6
Research on Centralities Based on von Neumann Entropy for Nodes and Motifs
... and entropy provides an alternative way to measure the global characterization and had won great success in many researching ...The von Neumann entropy (or quantum entropy) has shown ... See full document
5
Symmetric Laplacians, quantum density matrices and their Von Neumann entropy
... the Von Neumann entropy of the graph’s corresponding quantum state, ...the Von Neumann entropy may be interpreted as a measure of network ...free networks the Von ... See full document
11
Entropic graph embedding via multivariate degree distributions
... the von Neumann entropy of a directed graph [8], and quantify the entropy associated with each directed ...this entropy is determined by the in and out-degrees of the start and end ... See full document
11
Selfcomplementary quantum channels
... 3.1 Decohering properties of selfcomplementary channels and their classical channel capacity The entropy S map of a quantum channel Φ is defined [25, 26] as the von Neumann entropy of th[r] ... See full document
26
The von Neumann Theil index : characterizing graph centralization using the von Neumann index
... the von Neumann entropy (from herein referred to as the von Neumann index) of a graph’s trace normalized combinatorial Laplacian provides structural information about the level of ... See full document
17
A novel entropy-based graph signature from the average mixing matrix
... the von Neumann entropy more efficient, Han et ...Shannon entropy of the Laplacian ...quadratic entropy reveals that it can be computed from a number of permutation invariant matrix ... See full document
7
Emulating Rasterization and Von Neumann Machines With Retina
... We describe a stable tool for studying sensor networks, which we call Retina. Our methodology allows read-write communication. The basic tenet of this solution is the exploration of expert systems. Continuing with ... See full document
7
A note on the entropy of graphs
... graph entropy is in information theory, it was proved to be closely related to some classical and frequently studied graph theoretic ...concepts. von Neumann says the entropy of a system ... See full document
5
Von Neumann entropy and majorization
... In the following, we shall characterize the structure of a quantum channel that does not change the von Neumann entropy of any quantum state. In [11], Moln´ar and Szokol gave the structure of the map ... See full document
14
Regulating the Pace of von Neumann Correctors
... We can compute exactly the distribution T for the von Neumann corrector if S outputs one random value every δ units of time. In that case, one couple is generated every 2δ, and this couple has a probability ... See full document
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On pairs of automorphisms of von Neumann algebras
... + -I =+8 -I In this paper we prove a general decomposition theorem in the non-commuting situation as compared to the usual commuting case see references and prove that there exists a cen[r] ... See full document
6
A Tamper and Leakage Resilient von Neumann Architecture
... In the hybrid model the secret disk is not split. However, the tampering is very restricted: we only allow the adversary to copy values within the secret disk and to overwrite a location[r] ... See full document
44
The Birkhoff-von Neumann Decomposition and its Applications.
... This result, which gives a bound on the trace of a matrix product with respect to singular values, has several applications. It is used in the proof of many other theorems. One result where it is crucial in the proof is ... See full document
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A determinant inequality and log-majorisation for operators
... In 1912, Schmidt (working with Hilbert) initiated the study of the singular values of a compact operator acting on a separable Hilbert space. The notion of singular value in the context of semifinite von ... See full document
10
Decision Utility Theory: Back to von Neumann, Morgenstern, and Markowitz
... As the result the probability weight wpi, X given to probability pi depends criti% cally on the rank of the associated outcome xiC!. 5 %'"..[r] ... See full document
27
On the Cauchy Problem for Von Neumann Landau Wave Equation
... On the other hand, the proof in the endpoint case follows from the theorem 1.2 in [6] and the lemma 1 in the present paper.. The Proof of Theorem.[r] ... See full document
10
Succinct Non-Interactive Zero Knowledge for a von Neumann Architecture
... Known circuit generators have limited functionality or effi- ciency: (i) [PGHR13]’s circuit generator only supports programs without data dependencies, since memory accesses and loop ite[r] ... See full document
37
On the Diagonals of Projections in Matrix Algebras Over Von Neumann Algebras
... In the next chapter, we describe the notation and conventions used in this document. We also set up the necessary background and context for the results in the later chapters, discussing the notions of numerical ranges, ... See full document
76
Randomisation and the Von Neumann Function: A Variance Formula and a Problem
... ’ In a paper of many years ago Geary 1952 what was termed the contiguity ratio was introduced, to determine whether, in probability, a statistical map has a pattern or whether the mapped[r] ... See full document
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