China Manufacturer for ASTM F880 F880M Stainless Steel Socket Set Screws Export to Bhutan
Short Description:
Stainless Steel Set Screws Grub Screws Metric Size: M1.4 – M52, Inch Size: 0# – 2″ Hexagon Socket(Allen), Torx Star, Square, Slotted Drive Types Flat Point, Cup Point, Cone Point, Dog Point Other Drive and Point Type are also available acc. to customer requirement Various Surface Finishes Various Material Grades are available Please feel free to contact us for more details
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China Manufacturer for ASTM F880 F880M Stainless Steel Socket Set Screws Export to Bhutan Detail:
Stainless Steel Set Screws Grub Screws
Metric Size: M1.4 – M52, Inch Size: 0# – 2″
Hexagon Socket(Allen), Torx Star, Square, Slotted Drive Types
Flat Point, Cup Point, Cone Point, Dog Point
Other Drive and Point Type are also available acc. to customer requirement
Various Surface Finishes
Various Material Grades are available
Please feel free to contact us for more details
Product detail pictures:
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PyData London 2016
Can we use Bayesian inference to determine unusual car emissions test for Volkswagen? In this worked example, I’ll demonstrate hierarchical linear regression using both PyMC3 and PySTAN, and compare the flexibility and modelling strengths of each framework.
Overview
Bayesian inference bridges the gap between white-box model introspection and black-box predictive performance. We gain the ability to fully specify a model and fit it to observed data according to our prior knowledge. Small datasets are handled well and the overall method and results are very intuitive: lending to both statistical insight and future prediction.
This talk will demonstrate the use of Bayesian inference in a real-world scenario: using a set of hierarchical models to compare exhaust emissions data from a set of vehicle manufacturers.
This will be interesting to people who work in the Type A side of data science, and will demonstrate usage of the tools as well as some theory.
The Frameworks
PyMC3 and PySTAN are two of the leading frameworks for Bayesian inference in Python: offering concise model specification, MCMC sampling, and a growing amount of built-in conveniences for model validation, verification and prediction.
PyMC3 is an iteration upon the prior PyMC2, and comprises a comprehensive package of symbolic statistical modelling syntax and very efficient gradient-based samplers using the Theano library of deep-learning fame for gradient computation. Of particular interest is that it includes the Non U-Turn Sampler NUTS developed recently by Hoffman & Gelman in 2014, which is only otherwise available in STAN.
PySTAN is a wrapper around STAN, a major3 open-source framework for Bayesian inference developed by Gelman, Carpenter, Hoffman and many others. STAN also has HMC and NUTS samplers, and recently, Variational Inference – which is a very efficient way to approximate the joint probability distribution. Models are specified in a custom syntax and compiled to C++.
The Real-World Problem & Dataset
I’m currently quite interested in road traffic and vehicle insurance, so I’ve dug into the UK VCA Vehicle Type Approval to find their Car Fuel and Emissions Information for August 2015. The raw dataset is available for direct download and is small but varied enough for our use here: roughly 2500 cars and 10 features inc hierarchies of car parent-manufacturer – manufacturer – model.
I will investigate the car emissions data from the point-of-view of the Volkswagen Emissions Scandal which seems to have meaningfully damaged their sales. Perhaps we can find unusual results in the emissions data for Volkswagen.
GitHub repo: https://github.com/jonsedar/pymc3_vs_pystan
