- The role of symmetry in neural networks and their Laplacian spectra🔍
- Symmetry|Inspired Analysis of Biological Networks🔍
- The Orbit|Polynomial🔍
- When can the Cayley graph of the symmetries of an object have ...🔍
- Symmetries of Graphs and Networks🔍
- Symmetry Breaking in Graphs🔍
- Symmetry|driven network reconstruction through pseudobalanced ...🔍
- Identifying symmetries and predicting cluster synchronization in ...🔍
Symmetries of Graphs and Networks
The role of symmetry in neural networks and their Laplacian spectra
Connectivity matrices were subsequently subjected to graph analysis to assess the Laplacian spectrum and the level of network symmetry (see below). Neural ...
Symmetry-Inspired Analysis of Biological Networks - ProQuest
In graph theory symmetries are usually associated with automorphisms – transformations of a graph that leave its structure unchanged. Despite the prevalent ...
The Orbit-Polynomial: A Novel Measure of Symmetry in Networks
INDEX TERMS Quantitative graph theory, networks, symmetry, graphs, graph measures, data science. I. INTRODUCTION. The structural analysis of ...
When can the Cayley graph of the symmetries of an object have ...
In general, G is always a subgroup of the automorphism group of its Cayley graphs (by acting of the left; if edges are defined by right- ...
Symmetries of Graphs and Networks - Resources
Symmetries of Graphs and Networks Workshop ; Dragan Marusic, Brian Alspach, Brian Alspach ; Pablo Spiga and Marston Conder, Dave Morris, Cheryl Praeger ...
Symmetry Breaking in Graphs - American Mathematical Society
Given a graph $G$, a natural question to ask is, \emph{``How symmetric is $G$?"} In this talk, we investigate this question under the umbrella of two ...
Symmetry-driven network reconstruction through pseudobalanced ...
Network symmetries can be determined by finding a balanced coloring of the graph, which is a node partition in which each cluster of nodes ...
Identifying symmetries and predicting cluster synchronization in ...
Symmetries in a network connectivity regulate how the graph's functioning organizes into clustered states. Classical methods for tracing the symmetry group ...
Why do we initialize the Neural Networks randomly to break ... - Reddit
If a weight matrix is invariant under a symmetry operation, SW = W, then its derivative will also be so (some caveats apply). In which case it ...
Remote Synchronization Reveals Network Symmetries and ...
... network symmetry are fully synchronized, despite their distance on the graph. We provide analytical arguments to explain this result, and we ...
Efficiently indexing shortest paths by exploiting symmetry in graphs
As many large real graphs are shown richly symmetric, the central idea of our approach is to use graph symmetry to reduce the index size while retaining the ...
3.3 Symmetric Relations and Undirected Graphs | Social Networks
Social networks composed of symmetric ties are represented using undirected graphs. An example of an undirected graph is shown in Figure 2.4.
Local equivariance has previously been used in gauge equivariant neural networks [Cohen et al.,. 2019]. However, as the local symmetries of a graph are ...
Graph Symmetry: Algebraic Methods and Applications - Google Livres
In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various ...
Communicability cosine distance: similarity and symmetry in graphs ...
The Euclidean distance matrix (EDM) of CCD is used to quantify the similarity between vertices in graphs and networks as well as to define a ...
Graph Theory 4 - Symmetry in Graphs - YouTube
This video explores the concept of symmetry in graphs and symmetrical graphs. The concept of even function and its graph is introducted and ...
Symmetries and discriminability in feedforward network architectures
Graph isomorphism is the problem of determining whether two graphs are isomorphic, in the sense that they are the same up to a relabelling of their vertices.
Exploiting symmetry in network analysis - ProQuest
We also uncover the spectral signatures of symmetry for an arbitrary network measure such as the graph Laplacian. Computing network symmetries is very ...
Enumerate graphs under edge and symmetry constraints
Graph isomorphism is, in my opinion, not something you should be thinking about implementing yourself.
Symmetric Graph -- from Wolfram MathWorld
A symmetric graph is a graph that is both edge- and vertex-transitive (Holton and Sheehan 1993, p. 209). However, care must be taken with this definition ...