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Modern Distributed Optimization
October 6, 2017
Matt Adereth
QCon NY 2017
InfoQ.com: News & Community Site
• 750,000 unique visitors/month
• Published in 4 languages (English, Chinese, Japanese and Brazilian
Portuguese)
• Post content from our QCon conferences
• News 15-20 / week
• Articles 3-4 / week
• Presentations (videos) 12-15 / week
• Interviews 2-3 / week
• Books 1 / month
Watch the video with slide
synchronization on InfoQ.com!
https://www.infoq.com/presentations/
black-box-optimization
Presented at QCon New York
www.qconnewyork.com
Purpose of QCon
- to empower software development by facilitating the spread of
knowledge and innovation
Strategy
- practitioner-driven conference designed for YOU: influencers of
change and innovation in your teams
- speakers and topics driving the evolution and innovation
- connecting and catalyzing the influencers and innovators
Highlights
- attended by more than 12,000 delegates since 2007
- held in 9 cities worldwide
Important Legal Information
The views expressed herein are not necessarily the views of Two Sigma Investments, LP or
any of its affiliates (collectively, “Two Sigma”). The information presented herein is only for
informational and educational purposes and is not an offer to sell or the solicitation of an
offer to buy any securities or other instruments. Additionally, the information is not intended
to provide, and should not be relied upon for investment, accounting, legal or tax advice.
Two Sigma makes no representations, express or implied, regarding the accuracy or
completeness of this information, and you accept all risks in relying on the above
information for any purpose whatsoever
• Unknown Function
• Multiple Parameters
• Expensive
Agenda
• Real World Problems
• Distributed Algorithm Deep Dive
• How to Apply Now
Real World Problems
Cluster Configuration
• Number of VMs
• CPU count
• CPU speed per core
• RAM per core
• Disk count
• Disk speed
• Network capacity of the VM
Cluster Configuration with CherryPick
JVM Tuning
JVM Tuning
$ java -XX:+UnlockDiagnosticVMOptions -XX:+PrintFlagsFinal -version | wc -l
java version "1.8.0_92"
Java(TM) SE Runtime Environment (build 1.8.0_92-b14)
Java HotSpot(TM) 64-Bit Server VM (build 25.92-b14, mixed mode)
823
JVM Tuning at Twitter
A/B Testing at Yelp
Deep Learning
Deep Learning
http://playground.tensorflow.org/
Algorithms
💻(🎛)
👩(🎛)
🔮(🎛)
• Guess and Check
• Mental Model
• Grid Search
• Coordinate Descent
d = 2
n = 3
d = 1
n = 2
d = 3
n = 4
© User:Nicoguaro/ Wikimedia Commons / CC-BY-4.0
© User:Nicoguaro/ Wikimedia Commons / CC-BY-4.0
Multi-Start Nelder-Mead
Parallelized Nelder-Mead Options
Speculative
• Single large batch
• All results influence next batch
Multi-start
• Multiple asynchronous tasks
• Local results only influence
local next steps
Bayesian Optimization
1. Estimate the underlying function
2. Evaluate the point that is most likely to be the optimum of
underlying function
3. Update the estimate
Bayesian Optimization Demo
Parallel Bayesian Optimization
Select the set of points that maximize the
likelihood of any of them being the new optimum
Unique benefit: Asynchronous with information sharing!
Parallel Bayesian Global Optimization of Expensive Functions
Jialei Wang, Scott C. Clark, Eric Liu, Peter I. Frazier
arXiv:1602.05149 [stat.ML]
Advanced Parallel BO: Freeze-Thaw
What if you can approximate the objective function early?
Freeze-Thaw Bayesian Optimization
Kevin Swersky, Jasper Snoek, Ryan Prescott Adams
arXiv:1406.3896 [stat.ML]
How to Apply Now
How to apply now?
• Packages
• Spearmint
• GPyOpt
• BOAT
• Generalized Services
• MOE
• SigOpt
• Specialized Services
• Skipjaq
Thanks!
@adereth
Watch the video with slide
synchronization on InfoQ.com!
https://www.infoq.com/presentations/
black-box-optimization

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Modern Distributed Optimization

  • 2. InfoQ.com: News & Community Site • 750,000 unique visitors/month • Published in 4 languages (English, Chinese, Japanese and Brazilian Portuguese) • Post content from our QCon conferences • News 15-20 / week • Articles 3-4 / week • Presentations (videos) 12-15 / week • Interviews 2-3 / week • Books 1 / month Watch the video with slide synchronization on InfoQ.com! https://www.infoq.com/presentations/ black-box-optimization
  • 3. Presented at QCon New York www.qconnewyork.com Purpose of QCon - to empower software development by facilitating the spread of knowledge and innovation Strategy - practitioner-driven conference designed for YOU: influencers of change and innovation in your teams - speakers and topics driving the evolution and innovation - connecting and catalyzing the influencers and innovators Highlights - attended by more than 12,000 delegates since 2007 - held in 9 cities worldwide
  • 4. Important Legal Information The views expressed herein are not necessarily the views of Two Sigma Investments, LP or any of its affiliates (collectively, “Two Sigma”). The information presented herein is only for informational and educational purposes and is not an offer to sell or the solicitation of an offer to buy any securities or other instruments. Additionally, the information is not intended to provide, and should not be relied upon for investment, accounting, legal or tax advice. Two Sigma makes no representations, express or implied, regarding the accuracy or completeness of this information, and you accept all risks in relying on the above information for any purpose whatsoever
  • 5. • Unknown Function • Multiple Parameters • Expensive
  • 6.
  • 7. Agenda • Real World Problems • Distributed Algorithm Deep Dive • How to Apply Now
  • 9. Cluster Configuration • Number of VMs • CPU count • CPU speed per core • RAM per core • Disk count • Disk speed • Network capacity of the VM
  • 12. JVM Tuning $ java -XX:+UnlockDiagnosticVMOptions -XX:+PrintFlagsFinal -version | wc -l java version "1.8.0_92" Java(TM) SE Runtime Environment (build 1.8.0_92-b14) Java HotSpot(TM) 64-Bit Server VM (build 25.92-b14, mixed mode) 823
  • 13.
  • 14. JVM Tuning at Twitter
  • 19. 💻(🎛) 👩(🎛) 🔮(🎛) • Guess and Check • Mental Model • Grid Search • Coordinate Descent
  • 20. d = 2 n = 3 d = 1 n = 2 d = 3 n = 4
  • 21. © User:Nicoguaro/ Wikimedia Commons / CC-BY-4.0
  • 22.
  • 23. © User:Nicoguaro/ Wikimedia Commons / CC-BY-4.0
  • 25.
  • 26. Parallelized Nelder-Mead Options Speculative • Single large batch • All results influence next batch Multi-start • Multiple asynchronous tasks • Local results only influence local next steps
  • 27. Bayesian Optimization 1. Estimate the underlying function 2. Evaluate the point that is most likely to be the optimum of underlying function 3. Update the estimate
  • 29. Parallel Bayesian Optimization Select the set of points that maximize the likelihood of any of them being the new optimum Unique benefit: Asynchronous with information sharing! Parallel Bayesian Global Optimization of Expensive Functions Jialei Wang, Scott C. Clark, Eric Liu, Peter I. Frazier arXiv:1602.05149 [stat.ML]
  • 30. Advanced Parallel BO: Freeze-Thaw What if you can approximate the objective function early? Freeze-Thaw Bayesian Optimization Kevin Swersky, Jasper Snoek, Ryan Prescott Adams arXiv:1406.3896 [stat.ML]
  • 32. How to apply now? • Packages • Spearmint • GPyOpt • BOAT • Generalized Services • MOE • SigOpt • Specialized Services • Skipjaq
  • 34. Watch the video with slide synchronization on InfoQ.com! https://www.infoq.com/presentations/ black-box-optimization