Exoplanet direct imaging meets data science

Talk given at NASA ARC center and Stanford in June 2018. The slides present my Data Science approach to the problem of direct detection of exoplanets, leveraging recent developments in Machine/Deep Learning and the practices from the open-source Python community.

Transcript

1. Exoplanet direct imaging meets data science Carlos Alberto Gomez Gonzalez NASA ARC. June 28, 2018
2. I have a very particular set of skills About me http://carlgogo.github.io/ (Home) carlgogo (Github) carlgogo (Speakerdeck) carlosalbertogomezgonzalez (Linkedin)
3. Academic Data Science About me
4. Credit: Martin Vargic
5. Mostly, we rely on indirect methods for detecting exoplanets … it’s very hard to “see” them
6. HR8799, Marois et al. 2010 20 AU 0.5” Konopacky et al. 2013 Bowler 2016 Power of direct imaging Milli et al. 2016
7. Credit: NASA, http://planetquest.jpl.nasa.gov High-contrast imaging (HCI) A N IM ATIO N
8. Seeing limited image Improving angular resolution + reducing the contrast and dynamic range AO corrected image Coronagraphic image Post-processed image Coronagraphy Wavefront control Observing techniques Image post- processing Ground-based HCI *
9. SPHERE, Vigan et al. 2015 Very Large Telescope (VLT), Chile
10. Raw astronomical images Sequence of calibrated images Basic calibration and “cosmetics” • Dark/bias subtraction • Flat fielding • Sky or thermal background subtraction • Bad pixel correction Image recentering Bad frames removal Image combination PSF modeling • Median • Pairwise, ANDROMEDA • LOCI • PCA, NMF • LLSG Model PSF subtraction Detection on residual frame or detection map Characterization of “detected” companions R1 , 1 , F1 R2 , 2 , F2 R3 , 3 , F3 R4 , 4 , F4
11. HR8799 bcde (Marois et al. 2008-2010) Several epochs. Final images after post-processing A N IM ATIO N
12. synthetic planet Angular differential imaging (ADI) Sequence of calibrated images with a bright synthetic planet Signal and noise A N IM ATIO N
13. Spectrally dispersed ADI frames (ASDI) Signal and noise spatially re-scaled t0 t0 A N IM ATIO N
14. • Pairwise subtraction (correlated reference) • Median of references • Least-squares combination of references • Low-rank approximation (SVD, PCA, NMF, …) by learning a basis from references Model PSF subtraction di — mi = resi ith frame discarded frames reference frames T
15. • Available on Pypi • https://github.com/vortex-exoplanet/VIP • Documentation (Sphynx): http://vip.readthedocs.io/ • Jupyter tutorial • Python 2/3 compatibility • Continuous integration and automated testing (Pytest) Gomez Gonzalez et al. 2017 Vortex Image Processing library
16. Marois et al. 2007 Lafrenière et al. 2007 Mugnier et al. 2009, Cantalloube 2015 Soummer et al. 2012, Amara & Quanz 2012 VIP: ADI algorithmic zoo Absil et al. 2013 Marois et al. 2014 Gomez Gonzalez et al. 2016, 2017
17. VIP: ASDI algorithmic zoo Gomez Gonzalez in prep.
18. API
19. API
20. https://github.com/carlgogo/vip-tutorial TUTORIAL
21. “An article about computational result is advertising, not scholarship. The actual scholarship is the full software environment, code and data, that produced the result.” Buckheit and Donoho, 1995
22. Model PSF subtraction drawbacks Planet signal is subtracted along with the speckles A N IM ATIO N
23. Image sequence Final residual image ? ? ? ? ? ? ? Speckles (?) Real planet Synthetic planets Detection A N IM ATIO N
24. Image sequence Final residual image Detection Detection map Mugnier et al. 2009, Cantalloube 2015 Ruffio et al. 2017 SNR metric Matched filter A N IM ATIO N
25. Image sequence Detection needle-in-a-haystack problem :/
26. “Essentially, all models are wrong, but some are useful.” George Box “…if the model is going to be wrong anyway, why not see if you can get the computer to ‘quickly’ learn a model from the data, rather than have a human laboriously derive a model from a lot of thought.” Peter Norvig
27. Machine learning in a nutshell Unsupervised Supervised PC 1 PC 2 Dimensionality reduction Clustering and reinforcement learning Density estimation Regression Classification
28. { Network architecture Loss function and regularization { Optimization Supervised learning f = arg min fθ,θ∈Θ n i=1 L(yi, fθ (xi )) + g(θ) f : X → Y, Training set (labeled data) chihuahua muffin (xi, yi )i=1,...,n
29. Input X 1st Layer (data transformation)
30. Input X 1st Layer (data transformation) Perceptron (Rosenblatt 1958)
31. ▸ Activations Input X 1st Layer (data transformation) 2nd Layer (data transformation) Nth Layer (data transformation) …
32. ▸ Maxpooling ▸ Dropout Input X 1st Layer (data transformation) 2nd Layer (data transformation) Nth Layer (data transformation) …
33. Input X Nth Layer (data transformation) … 1st Layer (data transformation) 2nd Layer (data transformation) Predictions Ŷ Labels Y Loss function weights weights weights weight update Optimizer loss score
34. N HCI sequences have no label, but lots of noise instead Single ADI dataset, using N calibrated images. We can inject companions but: • high-contrast issue • N is too small … Supervised detection?
35. HCI sequences have no label, but lots of noise instead Survey scenario with M image sequences (observed stars). We can inject companions and potentially reduce the dynamic range but: • M is still too small • Computationally expensive Supervised detection? M …
36. Gomez Gonzalez et al. 2018 Supervised detection of exoplanets
37. Explained variance ratio: Multi-level Low-rank Approximation Residual samples ˆ σj 2 i ˆ σi 2 M ∈ Rn×p M = UΣV T = n i=1 σiuivT i res = M − MBT k Bk Labeling data
38. (a) (b) (a) (b) Labels: C+ C- y ∈ {c−, c+} Sample 1 Sample 2 Sample 3 Sample 4 Sample 1 Sample 2 Sample 3 Sample 4 … … Labeling data
39. Neural network Goal: predictions on new samples: f : X → Y ˆ y = p(c+| MLAR sample) SGD with a binary cross- entropy loss: L = − n (yn ln(ˆ yn ) + (1 − yn ) ln(1 − ˆ yn ))
40. Neural network Goal: predictions on new samples: f : X → Y ˆ y = p(c+| MLAR sample) SGD with a binary cross- entropy loss: L = − n (yn ln(ˆ yn ) + (1 − yn ) ln(1 − ˆ yn )) CLSTM Convolutions
41. Re-detection of bona fide planets (HR8799) Performance assessment L1 ˆ y = p(c+| MLAR sample)
42. Injection of synthetic companions in an ADI sequence S/N=3.2 S/N=5.9 S/N=1.3 S/N=2.7 SODINN’s output Performance assessment L2
43. Performance assessment L3 Receiver operating characteristic curves
44. Next step Gomez Gonzalez in prep. • Cheaper labeled data generation strategies • Generative models for data augmentation • Exploitation of the temporal dimension • Deeper networks • Generalization (in the context of an HCI survey)
45. Thank you! http://carlgogo.github.io/ (Home) carlgogo (Github) carlgogo (Speakerdeck) carlosalbertogomezgonzalez (Linkedin)