Events
DMS Colloquium: Antony Pearson |
| Time: Oct 09, 2020 (04:00 PM) |
| Location: ZOOM |
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Details: Speaker: Antony Pearson Title: Extracting independence from unstructured joint probability distributions
Abstract: This talk describes a novel way to represent the probability distribution of a random binary string as a mixture having a maximally weighted mixture component associated with independent (though not necessarily identically distributed) Bernoulli characters. I refer to this as the latent independent weight of the probabilistic source producing the string. I will demonstrate that this quantity has a surprising connection to a well-known problem in computational geometry which is used to derive combinatorial algorithm to compute it. The decomposition proposed may serve as an alternative to the Boolean paradigm of hypothesis testing, or to assess the fraction of uncorrupted samples originating from a source with independent marginal distributions. In this sense, the latent independent weight quantifies the maximal amount of independence contained within a probabilistic source which, properly speaking, may not have independent marginal distributions.
Faculty host: Elvan Ceyhan
Elvan Ceyhan is inviting you to a scheduled Auburn University Zoom e-meeting. If you're a new participant, we have a quick start guide here: https://aub.ie/zoomquickstart
Topic: Math & Stat Colloquium Time: Oct 9, 2020 04:00 PM Central Time (US and Canada)
Join from PC, Mac, Linux, iOS or Android: https://auburn.zoom.us/j/89983923905 Connect using Computer/Device audio if possible.
Or Telephone: Meeting ID: 899 8392 3905 Dial: +1 312 626 6799 (US Toll) or +1 646 876 9923 (US Toll)
Or an H.323/SIP room system: H.323: 162.255.37.11 (US West) or 162.255.36.11 (US East) Meeting ID: 899 8392 3905
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