March 24, California Institute of Technology. US Government support acknowledged.

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1 Kiri L. Wagstaff, David R. Thompson, and Walid A. Majid Jet Propulsion Laboratory, California Institute of Technology Contact: March 24, California Institute of Technology. US Government support acknowledged.

2 Machine Learning & Fast Transients Machine Learning: robust analysis inferred from data Automatically choose tests and detection thresholds Detect short-duration radio events: major SKA goal Pulsars, RRATs, merging neutron stars, evaporating black holes, gravitational wave events, etc. Fast trigger decision to save buffer for offline analysis Dramatically reduce data volume for next stage of analysis Antenna Integrated de-dispersion and event detection Detection Save buffered data Buffer March 24,

3 Signal Processing Dispersion Delays caused by intervening free electrons; stronger for lower frequencies Incoherent de-dispersion (assuming given DM) Sum pulse power across channels according to expected dispersion Event detection Is summed power > θ? Pulsar J , DM Parkes Beam 5 [Edwards et al., 2001] 4.6-ms pulse at DM 375 (August 21, 2001) March 24, 2010 [Lorimer, 2007] 3

4 De-dispersion & Event Detection Standard: full DM search, then event detection Constant or linearly increasing spacing All signals cost the same Machine Learning: learn which DMs to test for a given signal Coarse-to-fine DM search Flexible: adapts to data properties Some signals cheaper than others finer DM search Confident? N Y March 24,

5 Decision Tree Input: Observations, labeled as pulse or non-pulse Cost of missed detection, false detection Capacity: Max. number of parallel de-dispersions conducted (applies to each tier of the tree); constrain HW cost & power Choice of DMs, thresholds θ tuned to data New signal optimize All θ Coarse DM spacing Non-pulse All θ Non-pulse Narrow DM range Pulse Pulse Pulse March 24,

6 Adaptive Priors What if training data doesn t match new data? Radio Sky from Green Bank, WV Galactic Center NRAO/AUI/NSF N. E. Kassim, D. S. Briggs, T. J. W. Lazio, T. N. March 24, 2010 LaRosa, J. Imamura (NRL/RSD) 6

7 Adaptive Priors What if training data doesn t match new data? Modify old training data according to new target Increase weight of similar signals Decrease weight of dissimilar signals Probability of pulse with given DM depends on galactic longitude: Could also model: Extragalactic sources Negative DMs Etc. March 24,

8 Simulation Assumptions P(pulse) = 1x10-6 ; P(non-pulse) = 1 1x10-6 Hardware de-dispersion in parallel; vary capacity of system Data Parkes Multibeam [Edwards et al., 2001] 13 beam positions, 1.4 GHz (288 MHz bandwidth), 125 μs sample time, 96 channels Real noise data + synthesized pulses Uniform prior over amplitudes, DMs from cm -3 pc, SNRs (5-10), pulse width (0.5 ms) 11,668 training signals (uniform) 5,074 test signals (galactic lat, lon = 90, 90) March 24,

9 Simulation Results Vary ratio of cost of a missed detection vs. false detection Perfect (0 errors): False detections March 24,

10 Simulation Results Machine learning, 2-tier trees cut hardware needs (and power consumption) by ~20% Also reduce false detections Adaptive trees further reduce false detections To achieve <= 20 missed (of 313): Model type Capacity required False detections Standard search 100 (125) 2000 (1000) Learned 2-tier Adaptive 1-tier Adaptive 2-tier Note: current results are data-limited March 24,

11 What was Learned? Top threshold set very low Threshold for DM ~0 sub-tests set high Automatic RFI excision New signal All θ DM 0,4,8 500 (θ = 64) Non-pulse All θ DM 0-2 (θ = 73) 0 2 All θ DM (θ = 65) Non-pulse Pulse Pulse Non-pulse Pulse Pulse Pulse March 24,

12 Summary Machine learning for fast transient detection 2-tier approach achieves same performance as standard search with 20% fewer DM units, fewer false positives Adaptive trees enable extrapolation to new pointings Some automatic RFI excision Extensible: Can re-train tree as new signal types are discovered Next steps: Incorporate information from multiple beams (RFI excision) Other tests in decision tree nodes E.g., event detection in time-frequency images Thank you: Sarah Burke-Spolaor, Dayton Jones, Bob This work was carried out at the Jet Propulsion Laboratory, California Institute of Technology, Preston, under a contract with the National Aeronautics and Space Administration. Larry D Addario, Robert Navarro March 24,

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