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1 vote
0 answers
161 views

Locally "unshortable" paths in graphs

Setup: Consider a connected graph G, with diameter "d". Informally: Trivially (by definition of diameter), taking any path $P$ any nodes $P(i) , P(i+k)$ for $k>d$ can be connected by a ...
Alexander Chervov's user avatar
1 vote
1 answer
1k views

References for "second order" random walk on graphs (used in "node2vec" paper)?

The "word2vec" family of methods provided a great breakthrough in natural language processing. The methods assign to each word a vector in $R^{n}$, such that the "similar" words ...
Alexander Chervov's user avatar
1 vote
0 answers
45 views

What is the number of iterations needed for the message passing algorithm to converge when applied to an acyclic factor graph?

I understand that the message passing algorithm (Belief Propagation algorithm), when applied to a factor graph consists in an exchange in messages between the factor nodes and the variable nodes, ...
e. sfe's user avatar
  • 39
10 votes
1 answer
413 views

How sensitive are Neural Networks to weight change?

Let's consider the space of feedforward neural networks with a given structure: $L$ layers, $m$ neurons per layer, ReLu activation, input dimension $d$, output dimension $k$. Which means I'm ...
Alfred's user avatar
  • 889
1 vote
0 answers
151 views

Hypergraph partitioning and bipartite graph partitioning

Are hypergraph partitioning, and bipartite graph partitioning related, or equivalent, given that hypergraphs can be represented as bipartite graphs? In the first case, we want to partition the set of ...
Carlos Botas's user avatar
0 votes
3 answers
255 views

Clustering on tree

I am looking for a method that would identify clusters in a tree-like structure. In the figure below you can see a very simple example where one can visually identify distinct branches with a lot of ...
WoofDoggy's user avatar
  • 237