Efficient computation of pattern statistics for many different input probabilities

Abstract Number:

3281 

Submission Type:

Contributed Abstract 

Contributed Abstract Type:

Paper 

Participants:

Donald Martin (1), Nonhle Mdziniso (2), Elie Alhajjar (3), Laurent Noe (4)

Institutions:

(1) NC State University, N/A, (2) Rochester Institute of technology, N/A, (3) RAND Corporation, N/A, (4) CRIStAL (UMR 9189 Lille University/CNRS) - INRIA Lille Nord-Europe,, France

Co-Author(s):

Nonhle Mdziniso  
Rochester Institute of technology
Elie Alhajjar  
RAND Corporation
Laurent Noe  
CRIStAL (UMR 9189 Lille University/CNRS) - INRIA Lille Nord-Europe,

First Author:

Donald Martin  
NC State University

Presenting Author:

Donald Martin  
NC State University

Abstract Text:

A Markov chain-based approach yields an efficient computation mechanism to compute a single distribution of a pattern statistic in a Markovian sequence. However, if distributions are needed for many values of input probabilities, the entire computation needs to be repeated. The method forwarded in this work avoids the need to redo recursive updates of probabilities. Instead, counts of data strings with various values of sufficient statistics are updated recursively. The final counts are then used to reconstruct probabilities for the many input probabilities, improving efficiency. In this talk, the methodology is laid out systematically.

Keywords:

Markovian data, parameter-free computation, recursive computation| | | | |

Sponsors:

Section on Statistical Computing

Tracks:

Computationally Intensive Methods

Can this be considered for alternate subtype?

No

Are you interested in volunteering to serve as a session chair?

No

I have read and understand that JSM participants must abide by the Participant Guidelines.

Yes

I understand that JSM participants must register and pay the appropriate registration fee by June 1, 2024. The registration fee is non-refundable.

I understand