Assigning XY positions to points based on a "weight" between them

Posted by sanity on Stack Overflow See other posts from Stack Overflow or by sanity
Published on 2011-01-15T21:08:39Z Indexed on 2011/01/15 21:53 UTC
Read the original article Hit count: 113

Filed under:

math

|

graph

|

clustering

I have a bunch of points in a graph, and for every pair of these points I have "weight" value indicating what their proximity should be, between -1 and 1.

I want to choose XY coordinates for these points such that those that have a proximity of 1 are in the same position, and those with a proximity of -1 are distant from each-other. All points must reside within a bounded area.

What algorithms should I investigate to achieve this?

© Stack Overflow or respective owner

Related posts about math

how to make a function recursive

as seen on Stack Overflow - Search for 'Stack Overflow'
i have this huge function and i am wondering how to make it recursive. i have the base case which should never come true, so it should always go to else and keep calling itself with the variable t increases. any help would be great thanks def draw(x, y, t, planets): if 'Satellites' in planets["Moon"]: … >>> More
Sunrise / set calculations

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying to calculate the sunset / rise times using python based on the link provided below. My results done through excel and python do not match the real values. Any ideas on what I could be doing wrong? My Excel sheet can be found under .. http://transpotools.com/sun_time.xls # Created on… >>> More
Android-Java: Constructing a triangle based on Coordinates on a map and your bearing

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi Guys, I'm constructing a geolocation based application and I'm trying to figure out a way to make my application realise when a user is facing the direction of the given location (a particular long / lat co-ord). I've got the math figured, I just have the triangle to construct. //UPDATE So… >>> More
Math.max and Math.min outputting highest and lowest values allowed

as seen on Stack Overflow - Search for 'Stack Overflow'
so I'm trying to make a program that will output the sum, average, and smallest and largest values. I have everything basically figured out except the smallest and largest values are outputting 2147483647 and -2147483647, which I believe are the absolute smallest and largest values that Java will… >>> More
Is Programming == Math?

as seen on Stack Overflow - Search for 'Stack Overflow'
I've heard many times that all programming is really a subset of math. Some suggest that OO, at its roots, is mathematically based. I don't get the connection. Aside from some obvious examples: using induction to prove a recursive algorithm formal correctness proofs functional languages lambda calculus asymptotic… >>> More

Related posts about graph

C++: Error in Xcode; "Graph::Coordinate::Coordinate()", referenced from: ...

as seen on Stack Overflow - Search for 'Stack Overflow'
In a program I am writing, I wrote for two classes (Coordinate, and Graph), with one of them taking the other as constructor arguments. When I try to compile it I get the following error for Graph.cpp: Undefined symbols: "Graph::Coordinate::Coordinate(double)", referenced from: Graph::Graph()… >>> More
How to create Line Graph and Bar graph on same parameters in asp.net

as seen on C# Corner - Search for 'C# Corner'
We can use GDI+ to draw chart components in C# or VB.NET language in memory and once the components are drawn in memory, we can save the drawing in an image on the Web server. Once the image is saved, we can display this image in an ASP.NET page using any Image tag or image control. >>> More
Display Graph using Boost Graph Library

as seen on Stack Overflow - Search for 'Stack Overflow'
Can anyone please tell me that once I've created a graph using Boost Graph library, how can I display that graph? My biggest concern is that the edge weights are coming from an exernal data source over the network. And I need to be able to display the edgeweights live as they get updated. >>> More
Matlab multiple graph types inside one graph

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi, I have a task to draw electrostatic field between two electrodes( at given sizes and shape ), what i have now is that i draw the electrodes with area plot (area(elect_x,elect_y)) the graph looks like this: ------------------.--- |.. .---. |.. |...| |… >>> More
[C++] Write connected components of a graph using Boost Graph

as seen on Stack Overflow - Search for 'Stack Overflow'
I have an file that is a long list of weighted edges, in the following form node1_id node2_id weight node1_id node3_id weight and so on. So one weighted edge per line. I want to load this file into boost graph and find the connected components in the graph. Each of these connected components… >>> More