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A ONE BIT MATCHING THEOREM BASED SIMPLIFIED LPM ICA  Form

A ONE BIT MATCHING THEOREM BASED SIMPLIFIED LPM ICA Form

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Today I'm going to talk about a math problem with a fancy name, called maximum cardinality bipartite matching. Let me start by introducing an example. Suppose there are five people And let's say we have the following jobs Our goal is to assign jobs to people. We can represent the people and the jobs as points. They're also called vertices or nodes in graph theory What makes this problem complicated is that not everyone can do every job. For example, Andy can either be a scientist or a farmer. And we can represent his options as edges Bonnie wants to either be a chef or a scientist And so on. We have a bunch of people with very diverse skills. Now, we'll try to match jobs to people. This is one possible assignment. Here, Andy is a scientist, Bonnie is a chef, Daisy is a mechanic, and Ed is a banker But there are lots of other possible matchings, like this one. This, however, is not a matching. This is because both Daisy and Ed are bankers. In math terms,

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