ALS_model
CoinBLAS
| ALS_model | CoinBLAS | |
|---|---|---|
| 1 | 3 | |
| 6 | 21 | |
| - | - | |
| 1.8 | 1.8 | |
| over 3 years ago | almost 3 years ago | |
| Jupyter Notebook | ||
| MIT License | - |
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ALS_model
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Ask HN: What Are You Working On?
Many thanks!
Actually two years ago I did also a computational model of ALS, but I was not so satisfied with it.
https://github.com/Hjertesvikt/ALS_model
CoinBLAS
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The "missing" graph datatype already exists. It was invented in the '70s
When you consider that a graph and a matrix are isomorphic, doing vector matrix multiplication takes a vector with a set value, say row 4, and multiplies it by a matrix where row 4 has values present that represent edges to the nodes that are adjacent to it (ie "adjacency" matrix). The result is a vector with the next "step" in a BFS across the graph, do that in a loop and you step across the whole graph.
A cool result of this is, for example, taking an adjacency matrix and squaring it is the "Friend of a Friend" graph. It takes every node/row and multiplies it by itself, returning a matrix that are adjacent to the adjacencies of each node, ie, the friends (adjacencies of the adjacencies) of friends (adjacencies) of the nodes.
Deeper traversal are just higher nodes, a matrix cubed are the friends of the friends of the friends.
A picture is worth a thousand words, see figure 7 of this paper:
https://arxiv.org/pdf/1606.05790.pdf
Also check out figure 8, this shows how incidence matrices can work to represent hyper and multi graphs. An pair of incidence matrices reprsent two graphs, one from nodes to edges and the other from edges to nodes, these are n by m and m by n. When you multiply them, you get a square adjacency matrix that "projects" the incidence into an adjacency. This can be used to collapse hypergraphs into simple graphs that use different semirings to combine the multiple edges.
For some pretty pictures of this kind of stuff, check out CoinBLAS (note I am not a crypto-bro, it was just a very handy extremely large multi-graph that I could easily download in chunks to play with):
https://github.com/Graphegon/CoinBLAS/
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Ask HN: What Are You Working On?
Python wrapper around The GraphBLAS API:
https://github.com/michelp/pygraphblas
For an upcoming paper we've open sourced using pygraphblas to analyse the bitcoin graph using the GAP benchmarks on a server with 1TB of RAM:
https://github.com/Graphegon/CoinBLAS
- Show HN: CoinBLAS – Bitcoin Analysis with the GraphBLAS
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