Online statistical analysis using transducers and sketch algorithms

•

0 recomendaciones•480 vistas

Online statistical analysis using transducers and sketch algorithms. Don’t know what either is? You are going to learn something very cool (and perspective-changing) then. Know them, but want an experience report? Got you covered, fam.

Datos y análisis

Online statistical analysis
using transducers and
sketch algorithms
simon@metabase.com

@sbelak

Metabase ❤ 
github.com/metabase/metabase
• Open source analytics tool

• Building a “data scientist in a box”

• Hundreds to billions of rows

• Some DBs optimised for analytics, some not

Transducers at a glance
• Transducers decomplect recursion mechanism,
transformation, building the output, and access mechanism 
 
 
 
 
 
• 3 user-facing “protocols”: xf, transdcucer, and CollReduce

Composing transducers
1. comp xfs 
 
2. xf and transducer

3. github.com/henrygarner/redux 
post-complete fuse

Many batch algorithms can
be turned into online ones
Parallelize independent computations Find a recursive relation

github.com/MastodonC/kixi.stats
• Count

• (Arithmetic) mean

• Geometric mean

• Harmonic mean

• Median

• Variance

• Interquartile range

• Standard deviation

• Standard error

• Skewness
• Kurtosis

• Covariance

• Covariance matrix

• Correlation

• Correlation matrix

• Simple linear regression

• Standard error of the mean

• Standard error of the estimate

• Standard error of the prediction

• …

Using transducers is
worth it for the
composition alone

Annoyances
• Can only transduce one coll at a time

• Always have to pass in an xf

• Having functions that return a transducer or not is error
prone

Idea: summarise your
data with some data
structure and query that

Histogram construction
1. Pick a number of buckets K

2. For each incoming value:

1. If a bucket for it exists, increment it

2. else, add a new bucket with count = 1

3. If there are > K buckets, ﬁnd the two most adjacent
buckets and merge them

Estimating values
• Assume the bin mean in also its median

• Do weighted interpolations

• Often we can be precise up to the two bounding buckets

Nice property II:  
decouples data collection
from computation

Aside: transducers are a
good way to wrap Java/
imperative construction

Having distributions
readily available is great

Takeouts
• Transducers are not only performant but also a good
modularization protocol

• You don’t realise how often you want a distribution until
you have it readily available

• Often approximations are good enough

• You can get surprisingly far on a single machine

Más contenido relacionado

La actualidad más candente

Collo -01 , en

지현 이

Grafana optimization for Prometheus

Mitsuhiro Tanda

Data science isn't an easy task to pull of. You start with exploring data and experimenting with models. Finally, you find some amazing insight! What now? How do you transform a little experiment to a production ready workflow? Better yet, how do you scale it from a small sample in R/Python to TBs of production data? Building a BIG ML Workflow - from zero to hero, is about the work process you need to take in order to have a production ready workflow up and running. Covering : * Small - Medium experimentation (R) * Big data implementation (Spark Mllib /+ pipeline) * Setting Metrics and checks in place * Ad hoc querying and exploring your results (Zeppelin) * Pain points & Lessons learned the hard way (is there any other way?)

Production-Ready BIG ML Workflows - from zero to hero

Daniel Marcous

An introduction to Workload Modelling for Cloud Applications

Ravi Yogesh

React, Flux, and Realtime RSVPs

Alex Klibisz

Jinchao demo v3

Jinchao Lin

Presto Summit 2018 - 09 - Netflix Iceberg

kbajda

Data management and pipelines Measure Camp - San Francisco

Sho Fola Soboyejo

Nosql- Introduction for Beginners

Rahul Dhawani

Diminuendo! Tactics in Support of FaaS Migrations Slides

Sebastian Werner

Logging in The World of DevOps

DevOps Indonesia

Slick 3.0 functional programming and db side effects

Joost de Vries

7 Peaks Software Angular Meetup July 2019. RxJS streams handling (as it should be) for Padawan by Witaya JJ Tospitakkul – Developer at Odds. Angular 8 is the newest version on the block, and comes with the effective CLI API, helping make developers experience better. Offering differential loading support for modern browser, and faster loading, and also includes Ivy renderer tree-shaking for a smaller website. See all the event details here -> http://7peakssoftware.com/angular-meetup-2019/ Stay tuned to get information about 7 Peaks Software’s next Angular meetup at https://7peakssoftware.com/events/

RxJS streams handling for Padawan

Seven Peaks Speaks

Monitoring pg with_graphite_grafana

Jan Wieck

Spark Pitfalls meetup UnderscoreIL

lioron22

Haystack Live tallison_202010_v2

Tim Allison

IBM Extreme Blue FTP Discovery Week 2 Presentation

University of St Andrews

Overkill Analytics Seattle Spark Meetup

Claudiu Barbura

Stream Reasoning/CEP

cfolie

Modeling the Smart and Connected City of the Future with Kafka and Spark

SingleStore

La actualidad más candente (20)

Collo -01 , en

Grafana optimization for Prometheus

Production-Ready BIG ML Workflows - from zero to hero

An introduction to Workload Modelling for Cloud Applications

React, Flux, and Realtime RSVPs

Jinchao demo v3

Presto Summit 2018 - 09 - Netflix Iceberg

Data management and pipelines Measure Camp - San Francisco

Nosql- Introduction for Beginners

Diminuendo! Tactics in Support of FaaS Migrations Slides

Logging in The World of DevOps

Slick 3.0 functional programming and db side effects

RxJS streams handling for Padawan

Monitoring pg with_graphite_grafana

Spark Pitfalls meetup UnderscoreIL

Haystack Live tallison_202010_v2

IBM Extreme Blue FTP Discovery Week 2 Presentation

Overkill Analytics Seattle Spark Meetup

Stream Reasoning/CEP

Modeling the Smart and Connected City of the Future with Kafka and Spark

Similar a Online statistical analysis using transducers and sketch algorithms

In this talk we will look at how to efficiently (in both space and time) summarize large, potentially unbounded, streams of data by approximating the underlying distribution using so-called sketch algorithms. The main approach we are going to be looking at is summarization via histograms. Histograms have a number of desirable properties: they work well in an on-line setting, are embarrassingly parallel, and are space-bound. Not to mention they capture the entire (empirical) distribution which is something that otherwise often gets lost when doing descriptive statistics. Building from that we will delve into related problems of sampling in a stream setting, and updating in a batch setting; and highlight some cool tricks such as capturing time-dynamics via data snapshotting. To finish off we will touch upon algorithms to summarize categorical data, most notably count-min sketch.

Sketch algorithms

Simon Belak

A Production Quality Sketching Library for the Analysis of Big Data

Databricks

04 open source_tools

Marco Quartulli

Avoiding big data antipatterns

grepalex

Slides for my talk at Monitorama PDX 2019. Histograms have the potential to give us tools to meet SLO/SLAs, quantile measurements, and very rich heatmap displays for debugging. Their promise has not been fulfilled by TSDB backends however. This talk talks about the concept of histograms as first class citizens in storage. What does accuracy mean for histograms? How can we store and compress rich histograms for evaluation and querying at massive scale? How can we fix some of the issues with histograms in Prometheus, such as proper aggregation, bucketing, avoiding clipping, etc.?

Histograms at scale - Monitorama 2019

Evan Chan

05 k-means clustering

Subhas Kumar Ghosh

Probabilistic data structure

Thinh Dang

ML.NET is an open source, machine learning framework built in .NET and runs on Windows, Linux and macOS. It allows developers to integrate custom machine learning into their applications without any prior expertise in developing or tuning machine learning models. Enhance your .NET apps with sentiment analysis, price prediction, fraud detection and more using custom models built with ML.NET About Andy Cross Andy Cross (@andyelastacloud) is a co-founder of Elastacloud, an Azure Insider, co-founder of the UK London Azure User Group, an Azure MVP and a Microsoft Regional Director. An international speaker, Andy has lead teams building the largest Hadoop and HDInsight specialist deployments on Azure. His passion for embedded software and high performance compute clusters gives him a unique insight into a sphere of computation from the very small and resource constrained to the massively scalable, limitless potential of the cloud.

Machine Learning with ML.NET and Azure - Andy Cross

Andrew Flatters

No sql Database

mymail2ashok

Quantum programming

Francisco J. Gálvez Ramírez

2013 py con awesome big data algorithms

c.titus.brown

Lecture 7: Data-Intensive Computing for Text Analysis (Fall 2011)

Matthew Lease

9. Document Oriented Databases

Fabio Fumarola

The basic challenge of a data scientist is to unveil information from raw data. Traditional machine learning algorithms have treated “pure” data analytics situations that should comply with a set of restrictions, such as access to labels, a clear prediction objective… However, the reality in practice shows that, due to the wide spread of data science nowadays, the exception is the norm and it is usual to encounter situations that depend on gathering information from raw data which lacks any kind of structure, or objective that classic approaches assume. In these situations, building a graph that encodes the information we are trying to unveil is the most intuitive place to start or even the only one feasible when we lack any field knowledge or previously stated aim. Unfortunately, building a graph when the number of nodes is huge from scratch is a challenging task computationally, and requires some approximations to make it feasible. In this review, we will talk about the most standard way of building those graphs in practice, and how to exploit them to solve data science tasks. Session presented at Big Data Spain 2015 Conference 15th Oct 2015 Kinépolis Madrid http://www.bigdataspain.org Event promoted by: http://www.paradigmatecnologico.com Abstract: http://www.bigdataspain.org/program/thu/slot-11.html#spch11.2

Building graphs to discover information by David Martínez at Big Data Spain 2015

Big Data Spain

Data streaming algorithms

Sandeep Joshi

Building Big Data Streaming Architectures

David Martínez Rego

In this lecture we analyze key-values databases. At first we introduce key-value characteristics, advantages and disadvantages. Then we analyze the major Key-Value data stores and finally we discuss about Dynamo DB. In particular we consider how Dynamo DB: How is implemented 1. Motivation Background 2. Partitioning: Consistent Hashing 3. High Availability for writes: Vector Clocks 4. Handling temporary failures: Sloppy Quorum 5. Recovering from failures: Merkle Trees 6. Membership and failure detection: Gossip Protocol

7. Key-Value Databases: In Depth

Fabio Fumarola

RedisConf18 - Implementing a New Data Structure for Redis

Redis Labs

The task of “data profiling”—assessing the overall content and quality of a data set—is a core aspect of the analytic experience. Traditionally, profiling was a fairly cut-and-dried task: load the raw numbers into a stat package, run some basic descriptive statistics, and report the output in a summary file or perhaps a simple data visualization. However, data volumes can be so large today that traditional tools and methods for computing descriptive statistics become intractable; even with scalable infrastructure like Hadoop, aggressive optimization and statistical approximation techniques must be used. In this talk Sean will cover technical challenges in keeping data profiling agile in the Big Data era. He will discuss both research results and real-world best practices used by analysts in the field, including methods for sampling, summarizing and sketching data, and the pros and cons of using these various approaches. Sean is Trifacta’s Chief Technical Officer. He completed his Ph.D. at Stanford University, where his research focused on user interfaces for database systems. At Stanford, Sean led development of new tools for data transformation and discovery, such as Data Wrangler. He previously worked as a data analyst at Citadel Investment Group.

Sean Kandel - Data profiling: Assessing the overall content and quality of a ...

huguk

Probabilistic Data Structures (Edmonton Data Science Meetup, March 2018)

Kyle Davis

Similar a Online statistical analysis using transducers and sketch algorithms (20)

Sketch algorithms

A Production Quality Sketching Library for the Analysis of Big Data

04 open source_tools

Avoiding big data antipatterns

Histograms at scale - Monitorama 2019

05 k-means clustering

Probabilistic data structure

Machine Learning with ML.NET and Azure - Andy Cross

No sql Database

Quantum programming

2013 py con awesome big data algorithms

Lecture 7: Data-Intensive Computing for Text Analysis (Fall 2011)

9. Document Oriented Databases

Building graphs to discover information by David Martínez at Big Data Spain 2015

Data streaming algorithms

Building Big Data Streaming Architectures

7. Key-Value Databases: In Depth

RedisConf18 - Implementing a New Data Structure for Redis

Sean Kandel - Data profiling: Assessing the overall content and quality of a ...

Probabilistic Data Structures (Edmonton Data Science Meetup, March 2018)

Más de Simon Belak

Tools for building the future

Simon Belak

Having programmers do data science is terrible, if only everyone else were not even worse. The problem is of course tools. We seem to have settled on either: a bunch of disparate libraries thrown into a more or less agnostic IDE, or some point-and-click wonder which no matter how glossy, never seems to truly fit our domain once we get down to it. The dual lisp tradition of grow-your-own-language and grow-your-own-editor gives me hope there is a third way. This presentation is a meditation on how I approach data problems with Clojure, what I believe the process of doing data science should look like and the tools needed to get there. Some already exist (or can at least be bodged together); others can be made with relative ease (and we are already working on some of these); but a few will take a lot more hammock time. Clojure is fantastic for data manipulation and rapid prototyping, but falls short when it comes to communicating your insights. What is lacking are good visualization libraries and (shareable) notebook-like environments. I'll show my workflow in org-babel which weaves Clojure with R (for ggplot) and Python (for scikit-learn) and tell you why it's wrong, how IPythons of the world have trapped us in a local maximum and how we need a reconceptualization similar to what a REPL does to programming. All this interposed with my experience doing data science with Clojure (everything from ETL to on-the-spot analysis during a brainstorming).

Doing data science with clojure

Simon Belak

Exploratory analysis

Simon Belak

Levelling up your data infrastructure

Simon Belak

Recommendation algorithms and their variations such as ranking are the most common way for machine learning to find its way into a product where it is not the main focus. In this talk we’ll dig into the subtleties of making recommendation algorithms a seamless and integral part of your UX (goal: it should completely fade into the background. The user should not be aware she’s interacting with any kind of machine learning, it should just feel right, perhaps smart or even a tad like cheating); how to solve the cold start problem (and having little training data in general); and how to effectively collect feedback data. I’ll be drawing from my experiences building Metabase, an open source analytics/BI tool, where we extensively use recommendations and ranking to keep users in a state of flow when exploring data; to help with discoverability; and as a way to gently teach analysis and visualization best practices; all on the way towards building an AI data scientist.

The subtle art of recommendation

Simon Belak

Metabase Ljubljana Meetup #2

Simon Belak

You have defined your metrics, setup dashboards, and started to incorporate data into your everyday. Great, but I have some bad news for you. Almost certainly some of you metrics are wrong. At best these mistakes mean that you are not getting all the insights you could have, at worse some of the conclusions you have drawn from them are wrong. In this talk we will go through the most common but pernicious mistakes and unravel the mechanisms behind them so by the end of the talk you will be equipped with an analytical toolset to spot them on your own. The main classes of errors we will cover are: viewing data as a static process; not considering error margins and variance; picking the wrong reference point; assuming your population is homogeneous; and improperly accounting for costs.

Your metrics are wrong

Simon Belak

Writing correct smart contract is hard (a recent study estimated that 3% of Ethereum contracts in the wild have some sort of security vulnerability; we all know of the DAO and Parity exploits, …). There are two main reasons for this. First and foremost developing for the blockchain is quite different than what most programmers are used to. The level of concurrency is far beyond our (von Neumann) intuition and mental models. And you can’t stop and inspect running code like you can in other systems. Taken together blockchain is closer to a physical/living system than conventional software — a fact not reflected in the tools available. Compared to other domains our tooling and programming languages are somewhere between rudimentary and bad; and a far cry from where they would need to be to augment developers and help make programming for the blockchain less alien and less error prone. In this talk we will first unpack what makes programming for the blockchain hard, and what are the most common types of vulnerabilities and their causes. Then we will look at the state of art programming language research in correctness proving and programming massively concurrent systems; and how these can be applied to programming smart contracts; revisit some technologies from the past that didn’t get traction at the time, but are nevertheless worth studying; and finishing off by trying to imagine how programming for the blockchain should, and perhaps one day will, look like.

Writing smart contracts the sane way

Simon Belak

OpenAI recently published a fun paper where they showed using evolution algorithms to train policy networks to perform on par with state of the art reinforcement deep learning. In this talk we’ll try to reimplement the main ideas in that paper using Neanderthal (blazing fast matrix and linear algebra computations) and Cortex (neural networks); make it massively distributed using Onyx; build a simulation environment using re-frame; and of course save our princess from no particular harm in our toy game example

Save the princess

Simon Belak

Data driven going to market strategy

Simon Belak

You can do cool and unexpected things if your entire type system is a first class citizen and accessible at runtime. With the introduction of spec, Clojure got its own distinct spin on a type system. Just as macros add another -time (runtime and compile time) where the full power of the language can be used, spec does to describing data. The result is an entire additional type system that is a first class citizen and accessible at runtime that facilitates validation, generative testing (a la QuickCheck), destructuring (pattern matching into deeply nested data), data macros (recursive transformations of data) and a pluginable error system. And then you can start building on top of it. The talk will be half introduction to spec and the ideas packed within it, and half experience report instrumenting 15k loc production codebase (primarily ETL and analytics) with spec.

Spec: a lisp-flavoured type system

Simon Belak

Clojure has always been good at manipulating data. With the release of spec and Onyx (“a masterless, cloud scale, fault tolerant, high performance distributed computation system”) good became best. In this talk you will learn about a streaming data layer architecture build around Kafka and Onyx that is self-describing, declarative, scalable and convenient to work with for the end user. The focus will be on the power and elegance of describing data and computation with data; the inferences and automations that can be built on top of that; and how and why Clojure is a natural choice for tasks that involve a lot of data manipulation, touching both on functional programming and lisp-specifics such as code-is-data. We will look at how such an approach can be used to manage a data warehouse by automatically inferring materialized views from raw incoming data or other views based on a combination of heuristics, statistical analysis (seasonality, outlier removal, ...) and predefined ontologies. Doing so is a practical way to maintain a large number of views, increasing their availability and abstracting the complexity into declarative rules, rather than having an ETL pipeline with dozens or even hundreds of hand crafted tasks. The system described requires relatively little effort upfront but can easily grow with one's needs both in terms of scale as well as scope. With its good introspection capabilities and strong decoupling it is for instance an excellent substrate for putting machine learning algorithms in production, which is the final use-case we will dive into.

A data layer in clojure

Simon Belak

Segmentacija je ključna za učinkovito nagovarjanje in konvertiranje potancialnih strank. Simon Belak, vodja analitike pri GoOptiju in transmedijski urednik pri kritičnem časopisu Tribuna, je razkril, kako odkrivati segmente iz podatkov. Po njegovih besedah je povsem neupravičeno, da je segmentacija povečini statična in narejena na slepo, neupoštevajoč podatke. V predavanju je predstavil aletrnativo: analitično delno avtomatično odkrivanje segmentov iz podatkov. Na konkretnih primerih je pokazal, kako preslikati podatke o interakcijah s strankami (obisk strani kot pokazatelji interesov, odgovori na ankete, vzorci premikanja po straneh, odpiranje emailov…) v model strank in nadaljeval z razdelitvijo v segmente. Simon je za konec izpostavil najpogostejše pasti in drobne trike za primere, ko imamo malo podatkov, ali so le-ti nejasni.

Odkrivanje segmentov iz podatkov

Simon Belak

@sbelak Simon Belak Using Onyx in anger Clojure has always been good at manipulating data. With the release of spec and Onyx ("masterless, cloud scale, fault tolerant, high performance distributed computation system") good became best. In this talk I will walk you through a data layer architecture build around Kafka an Onyx that is self-describing, declarative, scalable and convenient to work with for the end user. The focus will be on the power and elegance of describing data and computation with data; and the inferences and automations that can be built on top of that.

Using Onyx in anger

Simon Belak

Spec + onyx

Simon Belak

Whenever a programming language comes out with a new feature, us smug lisp weenies shrug and point out how lisp had that in the early seventies; and if you look at the list of influences of a given language, there is bound to be a lisp in there. In this talk I will try to unpack what makes lisp special, why it is called programming programming language , how it changes one’s thinking, and how that thinking can be applied elsewhere.

Dao of lisp

Simon Belak

Successfully forecasting future demand is key in allowing GoOpti its low prices while isolating transport partners from risk. It this talk Simon Belak, Chief Data scientist at GoOpti, will take you through how he approaches forecasting and the lessons that he learned along the way. The focus is going to be on models that do not require excessive amounts of data, are legible and work well as part of a continuous process (rather than being a one-of problem).

Predicting the future with goopti

Simon Belak

Living with-spec

Simon Belak

Living with-spec

Simon Belak

Having programmers do data science is terrible, if only everyone else were not even worse! The problem is tools – either a bunch of libraries and an agnostic IDE, or some point-and-click wonder which no matter how glossy never quite fits our need. The dual lisp tradition of grow-your-own-language and grow-your-own-editor gives me hope there is a third way. This talk is a meditation on how I do data science with Clojure, what the ideal process would look like, and the tools needed to get there. Some already exists (or can at least be bodged together); others can be made with relative ease (and we are already working on some of these); but a few will take a lot more hammock time. Clojure is fantastic for data manipulation and rapid prototyping, but falls short when it comes to communicating your insights. What is lacking are good visualization libraries and (sharable) notebook-like environments. I'll show my workflow which weaves Clojure with R (for ggplot) and Python (for scikit-learn) and tell you why it's wrong; how IPythons of the world have trapped us in a local maximum and why we need a reconceptualization similar to what a REPL does to programming. All this interposed with my experience doing data science with Clojure (everything from ETL to on-the-spot analysis during brainstormings) and how these are interwoven into the design of Huri my library for the lazy data scientist.

Doing data science with Clojure

Simon Belak

Más de Simon Belak (20)

Tools for building the future

Doing data science with clojure

Exploratory analysis

Levelling up your data infrastructure

The subtle art of recommendation

Metabase Ljubljana Meetup #2

Your metrics are wrong

Writing smart contracts the sane way

Save the princess

Data driven going to market strategy

Spec: a lisp-flavoured type system

A data layer in clojure

Odkrivanje segmentov iz podatkov

Using Onyx in anger

Spec + onyx

Dao of lisp

Predicting the future with goopti

Living with-spec

Doing data science with Clojure

Último

Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In Chandrapur [ 7014168258 ] Call Me For Genuine Model...

gajnagarg

Abortion pills in Kuwait city !🌆+918761049707^) Where to get cytotec pills in salmiyah, WhatsApp '''(+918761049707)''' Explore Discreet and Safe Abortion Pill Options in Dubai, Empowering Women With Confidential and Medically Supervised Choices For Reproductive Health" Abortion Pills In Dubai, Abu Dhabi/Alain/Sharjah/RAK City Satwa-Mifepristone and Misoprostol Available in Dubai/Abu Dhabi - i Pills in Dubai and Cost Of Cytotec in WhatsApp (+918761049707) Abortion Pills in Dubai/Abu Dubai/ Abu Dhabi. Are you stranded with unwanted pregnancy in Dubai, Abu Dhabi , the United Arab Emirates (U.A.E), Qatar, Oman, Saudi Arabia or Kuwait? you can now contact us now on Whatsapp Dr AJ:+918761049707to buy safe abortion pills In Dubai, Abu Dhabi, Sharjah, Al Ain, Ajman, RAK City, Ras Al Khaimah and Fujairah to terminate an unwanted pregnancy in Dubai and the United Arab Emirates. Get your Discreet 100% Safe (+918761049707 )*Effective Abortion Pills For Sale in Dubai, Abu Dhabi, KUWAIT, QATAR, BAHRAIN, DOHA, SALMIYA, Sharjah, Ajman, Alain, Fujairah, Ras Al Khaimah, Umm Al Quwain, UAE. BUY Mifepristone and Misoprostol (Cytotec), Mtp Kit In UAE. Abortion pills available in UAE (United Arab Emirates), Saudi Arabia, Kuwait, Oman, Bahrain and Qatar. Contact us today. +918761049707 -The UAE’s leading abortion care service in Dubai. Abortion Treatment. Medical Abortion. Surgical Abortion. Find A Clinic like Dr Maria Abortion clinic in Dubai We have Abortion Pills / Cytotec Tablets Available in Dubai, Abu Dhabi, KUWAIT, QATAR, BAHRAIN, DOHA, SALMIYA, Sharjah, Ajman, Alain, Fujairah, Ras Al Khaimah, Umm Al Quwain, UAE., buy cytotec in Dubai abortion Pills Cytotec also available Oman Qatar Doha Saudi Arabia Bahrain We sell original abortion medicine which includes: Cytotec 200mcg (Misoprostol), Mifepristone, Mifegest-kit, Misoclear, Emergency contraceptive pills, Morning after sex pills, ipills, pills to prevent pregnancy 72 hours after sex. All our pills are manufactured by reputable medical manufacturing companies like PFIZER. Medical abortion is easy and effective for everyone to perform in their own privacy. There are very few complications that may arise from medical abortion if one follows the right guidelines as instructed by the obstetrician. Abortion Pills in Dubai Can Now Be Offered at Dr Maria Abortion clinic in Dubai, F.D.A. Mifepristone and Misoprostol, the first of two drugs in medication abortions, previously had to be dispensed only by clinics, doctors or a few mail-order pharmacies like Dr Maria Abortion clinic in Dubai . Now, We can provide it. For the first time, retail pharmacies, like Dr Maria Abortion clinic in Dubai, will be Able to offer abortion pills in Dubai under a regulatory change made Tuesday by the Food and Drug Administration. The action could significantly expand access to abortion through medication. Cytotec Abortion Pills are Available In Dubai / UAE, you will be very happy to do abortion in Dubai we are providing cytotec 200mg

In Riyadh ((+919101817206)) Cytotec kit @ Abortion Pills Saudi Arabia

ahmedjiabur940

Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In Satna [ 7014168258 ] Call Me For Genuine Models We ...

nirzagarg

Sealdah % High Class Call Girls Kolkata - 450+ Call Girl Cash Payment 8005736733 Neha Thakur Our agency presents a selection of young, charming call girls #J11 available for bookings at Oyo Hotels. Experience high-class escort services at pocket-friendly rates, with our female escorts exuding both beauty and a delightful personality, ready to meet your desires. Whether it's Housewives,#J11 College girls, Russian girls, Muslim girls, or any other preference, we offer a diverse range of options to cater to your tastes. We provide both in-call and out-call services for your convenience. Our in-call location in Kolkata ensures cleanliness, hygiene, and 100% safety, while our out-call services offer doorstep delivery for added ease. We value your time and money, hence we kindly request pic collectors, time-passers, and bargain hunters to refrain from contacting us. Our services feature various packages at competitive rates: One shot: ₹2000/in-call, ₹5000/out-call Two shots with one girl: ₹3500/in-call, ₹6000/out-call Body to body massage with sex: ₹3000/in-call Full night for one person: ₹7000/in-call, ₹10000/out-call Full night for more than 1 person: Contact us at 🔝 8005736733 🔝. for details Operating 24/7, we serve various locations in Kolkata, including Green Park, near metro stations. For premium call girl services in Kolkata 🔝 8005736733 🔝. Thank you for considering us!

Sealdah % High Class Call Girls Kolkata - 450+ Call Girl Cash Payment 8005736...

HyderabadDolls

Top profile Call Girls In Bihar Sharif [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In Bihar Sharif [ 7014168258 ] Call Me For Genuine Mod...

nirzagarg

Vadodara 💋 Call Girl 7737669865 Call Girls in Vadodara Escort service book now Booking Contact Details :- WhatsApp Chat :- +91-7737669865 We offer all types of girls of your choice with space. Our escorts are fully cooperative and understand your needs. All types of call girls like Housewives, College girls,#K09 Russian girls, Muslim girls, Afghani girls, Bengali girls, Working girls, south Indian girls, Punjabi girls, etc. In-Call: — You Can Reach At Our Place in Bangalore Our place Which Is Very Clean Hygienic 100% safe Accommodation. Out-Call: — Service for Out Call You have To Come Pick The Girl From My Place We Also Provide Door-Step Services Hygienic: — Full Ac Neat And Clean Rooms Available In Hotel 24 * 7 Hrs In Bangalore Our Services and Rates: – One Shot — 2500/in call (time ½ hour), 5000/out call Two shot with one girl — 5000/in call (time 1 hour), 6000/out call Body to body massage with sex- 3000/in call (time 1 hour) full night for one person– 8000/in call, 10000/out call (shot limit 4 shot) We are available 24*7 all days of the year

Vadodara 💋 Call Girl 7737669865 Call Girls in Vadodara Escort service book now

gargpaaro

Digital Transformation Playbook by Graham Ware

Graham Ware

Computer science Sql cheat sheet.pdf.pdf

SayantanBiswas37

Top Call Girls in Balaghat 9332606886Call Girls Advance Cash On Delivery Service Booking Now open +91- 9332606886 Pune VIP Call Girls is highly qualified professionals. #S10 They will offer only top quality services and never try to scam or drain you of money; in fact, they strive to give complete satisfaction so that each cent spent was worth its worth. Furthermore, these professionals pride themselves in keeping customer details confidential; any information gleaned will never be shared with any third party.$V15 Two shots with one girl: ₹4500/in-call, ₹7500/out-call Body to body massage with : ₹5500/in-call Full night for one person: ₹7000/in-call, ₹12000/out-call •𝐂𝐨𝐥𝐥𝐞𝐠𝐞 𝐆𝐢𝐫𝐥𝐬 •𝐇𝐨𝐮𝐬𝐞𝐰𝐢𝐯𝐞𝐬 •𝐇𝐢𝐠𝐡 𝐏𝐫𝐨𝐟𝐢𝐥𝐞 𝐆𝐢𝐫𝐥𝐬 •𝐑𝐚𝐦𝐩 𝐌𝐨𝐝𝐞𝐥𝐬 •𝐅𝐨𝐫𝐞𝐢𝐠𝐧𝐞𝐫 𝐆𝐢𝐫𝐥𝐬 𝐎𝐮𝐫 𝐞𝐬𝐜𝐨𝐫𝐭 𝐬𝐞𝐫𝐯𝐢𝐜𝐞𝐬 •𝐇𝐉 (𝐇𝐚𝐧𝐝 𝐉𝐨𝐛) •𝐁𝐉 (𝐁𝐥𝐨𝐰𝐣𝐨𝐛) # Completion # (Oral To Completion) # Special Massage # O-Level (Oral ) # Oral With A Noncondom) # COB (Come On Body) # Extraball (Have Many Times) # All Meetings 100%Safe

Top Call Girls in Balaghat 9332606886Call Girls Advance Cash On Delivery Ser...

kumargunjan9515

原版定制【微信:153539019】《英国诺森比亚大学毕业证（NU毕业证书）》【微信:153539019】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。【业务选择办理准则】一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信153539019】文凭即可二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信153539019】即可三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。留信网认证的作用: 1:该专业认证可证明留学生真实身份 2:同时对留学生所学专业登记给予评定 3:国家专业人才认证中心颁发入库证书 4:这个认证书并且可以归档倒地方 5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息 6:个人职称评审加20分 7:个人信誉贷款加10分 8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才【关于价格问题（保证一手价格）】我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子我给客户的都是第一手的代理价格，因为我想坦诚对待大家不想跟大家在价格方面浪费时间对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。

如何办理英国诺森比亚大学毕业证（NU毕业证书）成绩单原件一模一样

wsppdmt

High Profile Call Girls Service in Jalore { 9332606886 } VVIP NISHA Call Girls Near 5 Star Hotel Booking Now open +91- 9332606886 Pune VIP Call Girls is highly qualified professionals. #S10 They will offer only top quality services and never try to scam or drain you of money; in fact, they strive to give complete satisfaction so that each cent spent was worth its worth. Furthermore, these professionals pride themselves in keeping customer details confidential; any information gleaned will never be shared with any third party.$V15 Two shots with one girl: ₹4500/in-call, ₹7500/out-call Body to body massage with : ₹5500/in-call Full night for one person: ₹7000/in-call, ₹12000/out-call •𝐂𝐨𝐥𝐥𝐞𝐠𝐞 𝐆𝐢𝐫𝐥𝐬 •𝐇𝐨𝐮𝐬𝐞𝐰𝐢𝐯𝐞𝐬 •𝐇𝐢𝐠𝐡 𝐏𝐫𝐨𝐟𝐢𝐥𝐞 𝐆𝐢𝐫𝐥𝐬 •𝐑𝐚𝐦𝐩 𝐌𝐨𝐝𝐞𝐥𝐬 •𝐅𝐨𝐫𝐞𝐢𝐠𝐧𝐞𝐫 𝐆𝐢𝐫𝐥𝐬 𝐎𝐮𝐫 𝐞𝐬𝐜𝐨𝐫𝐭 𝐬𝐞𝐫𝐯𝐢𝐜𝐞𝐬 •𝐇𝐉 (𝐇𝐚𝐧𝐝 𝐉𝐨𝐛) •𝐁𝐉 (𝐁𝐥𝐨𝐰𝐣𝐨𝐛) # Completion # (Oral To Completion) # Special Massage # O-Level (Oral ) # Oral With A Noncondom) # COB (Come On Body) # Extraball (Have Many Times) # All Meetings 100%Safe

High Profile Call Girls Service in Jalore { 9332606886 } VVIP NISHA Call Girl...

kumargunjan9515

Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In bhavnagar [ 7014168258 ] Call Me For Genuine Models...

gajnagarg

Top profile Call Girls In Tumkur [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In Tumkur [ 7014168258 ] Call Me For Genuine Models We...

nirzagarg

Top profile Call Girls In dimapur [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In dimapur [ 7014168258 ] Call Me For Genuine Models W...

gajnagarg

Top profile Call Girls In Indore [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In Indore [ 7014168258 ] Call Me For Genuine Models We...

gajnagarg

Top profile Call Girls In Vadodara [ 7014168258 ] Call Me For Genuine Models We are available 24*7 Booking Contact Details :- WhatsApp Chat :- +91-7014168258 If you're looking for India Call girls you've come to the right place. You'll find some of the most beautiful call girls in our location with. These ladies have pleasing personalities, hot figures, and a passion for physical pleasure. Call girls in India Lucknow Many men have booked them for their erotic and soul-mixing performances, which are sure to leave you with unforgettable memories. #K09 Escort Service India is available in the city for men and women of all ages. They can satisfy your sexual needs and will make your experience even more enjoyable and memorable. Whether you're looking for a blow-job, stripping, lovemaking, or other dirty acts, you'll be able to find a match for your tastes and budget. These highly trained professionals will help you have an unforgettable night. One Shot — 5000/in call (time 1 hour), 6000/out call Two shot with one girl — 8000/in call (time 2 hour), 10000/out call Body to body massage with sex- 8000/in call (time 1 hour) Full night Service for one person– 12000/in call, 13000/out call (shot limit 3-4 shots) Full night Service for more than 1 person — please contact Us —7014168258 We are available 24*7 all days of the year. Call us — 7014168258 Thank you for Visiting.

Top profile Call Girls In Vadodara [ 7014168258 ] Call Me For Genuine Models ...

gajnagarg

Klinik_ Apotek Onlin 085657271886 Solusi Menggugurkan Masalah Kehamilan Anda Jual Obat Aborsi Asli KLINIK ABORSI TERPEECAYA _ Jual Obat Aborsi Cytotec Misoprostol Asli 100% Ampuh Hanya 3 Jam Langsung Gugur || OBAT PENGGUGUR KANDUNGAN AMPUH MANJUR OBAT ABORSI OLINE" APOTIK Jual Obat Cytotec, Gastrul, Gynecoside Asli Ampuh. JUAL ” Obat Aborsi Tuntas | Obat Aborsi Manjur | Obat Aborsi Ampuh | Obat Penggugur Janin | Obat Pencegah Kehamilan | Obat Pelancar Haid | Obat terlambat Bulan | Ciri Obat Aborsi Asli | Obat Telat Bulan | Pil Aborsi Asli | Cara Menggugurkan Konten | Cara Aborsi Tuntas | Harga Obat Aborsi Asli | Pil Aborsi | Jual Obat Aborsi Cytotec | Cara Aborsi Sendiri | Cara Aborsi Usia 1 Bulan | Cara Aborsi Usia 2 Tahun | Cara Aborsi Usia 3 Bulan | Obat Aborsi Usia 4 Bulan | Cara Abrasi Usia 5 Bulan | Cara Menggugurkan Konten | Kandungan Obat Penggugur | Cara Menghitung Usia Konten | Cara Mengatasi Terlambat Bulan | Penjual Obat Aborsi Asli | Obat Aborsi Garansi | Kandungan Obat Peluntur | Obat Telat Datang Bulan | Obat Telat Haid | Obat Aborsi Paling Murah | Klinik Jual Obat Aborsi | Jual Pil Cytotec | Apotik Jual Obat Aborsi | Kandungan Dokter Abrasi | Cara Aborsi Cepat | Jual Obat Aborsi Bergaransi | Jual Obat Cytotec Asli | Obat Aborsi Aman Manjur | Obat Misoprostol Cytotec Asli. "APA ITU ABORSI" “Aborsi Adalah dengan membendung hormon yang di perlukan untuk mempertahankan kehamilan yaitu hormon progesteron, karena hormon ini dibendung, maka jalur kehamilan mulai membuka dan leher rahim menjadi melunak,sehingga mengeluarkan darah yang merupakan tanda bahwa obat telah bekerja || maksimal 1 jam obat diminum || PENJELASAN OBAT ABORSI USIA 1 _7 BULAN Pada usia kandungan ini, pasien akan merasakan sakit yang sedikit tidak berlebihan || sekitar 1 jam ||. namun hanya akan terjadi pada saatdarah keluar merupakan pertanda menstruasi. Hal ini dikarenakan pada usiakandungan 3 bulan,janin sudah terbentuk sebesar kepalan tangan orang dewasa. Cara kerja obat aborsi : JUAL OBAT ABORSI AMPUH dosis 3 bulan secara umum sama dengan cara kerja || DOSIS OBAT ABORSI 2 bulan”, hanya berbedanya selain mengisolasijanin juga menghancurkan janin dengan formula methotrexate dikandungdidalamnya. Formula methotrexate ini sangat ampuh untuk menghancurkan janinmenjadi serpihan-serpihan kecil akan sangat berguna pada saat dikeluarkan nanti. APA ALASAN WANITA MELAKUKAN ABORSI? Aborsi di lakukan wanita hamil baik yang sudah menikah maupun belum menikah dengan berbagai alasan , akan tetapi alasan yang utama adalah alasan-alasan non medis (termasuk aborsi sendiri / di sengaja/ buatan] MELAYANI PEMESANAN OBAT ABORSI SETIAP HARI, SIAP KIRIM KESELURUH KOTA BESAR DI INDONESIA DAN LUAR NEGERI. HUBUNGI PEMESANAN LEBIH NYAMAN VIA WA/: 085657271886

Jual Obat Aborsi Surabaya ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...

ZurliaSoop

Gomti Nagar & best call girls in Lucknow | 9548273370 Independent Escorts & Dating Escorts Service CALL GIRL IN Lucknow 9548273370 ❤CALL GIRLS IN ESCORT SERVICE❤CALL GIRL IN #j11 We are Providing :- ● – Private independent collage Going girls . ● – independent Models . ● – House Wife’s . ● – Private Independent House Wife’s ● – Corporate M.N.C Working Profiles . ● – Call Center Girls . ● – Live Band Girls . ●- Foreigners & Many More . Service type: 1.In call 2.out call 3. full Lip to Lip kiss 4.69 5.b-job without Condom 6. Hard Core sex & Much More. 7 Body to Body Touch 8 Kissing 9 Sucking Boobs and More 10 Enjoy by Hand 11 Relax By Oral 12 Sex with Happy Ending • In Call and Out Call Service • 3* 5* 7* Hotels Service • 24 Hours Available • Indian, Russian, Punjabi, Kashmiri Escorts • Real Models, College Girls, House Wife, Also Available • Short Time and Full Time Service Available • Hygienic Full AC Neat and Clean Rooms Avail. In Hotel 24 hours • Daily Escorts Staff Available • Minimum to Maximu m Range Available.c

Gomti Nagar & best call girls in Lucknow | 9548273370 Independent Escorts & D...

HyderabadDolls

RESEARCH-FINAL-DEFENSE-PPT-TEMPLATE.pptx

ronsairoathenadugay

SAC 25 Final National, Regional & Local Angel Group Investing Insights 2024 0...

Elaine Werffeli

Online statistical analysis using transducers and sketch algorithms

1. Online statistical analysis using transducers and sketch algorithms simon@metabase.com @sbelak

2. Metabase ❤  github.com/metabase/metabase • Open source analytics tool • Building a “data scientist in a box” • Hundreds to billions of rows • Some DBs optimised for analytics, some not

3. Transducers at a glance • Transducers decomplect recursion mechanism, transformation, building the output, and access mechanism            • 3 user-facing “protocols”: xf, transdcucer, and CollReduce

4. xf and transducer

5. Composing transducers 1. comp xfs    2. xf and transducer 3. github.com/henrygarner/redux  post-complete fuse           

6. On-line/streaming analysis

7. Many batch algorithms can be turned into online ones Parallelize independent computations Find a recursive relation

8. github.com/MastodonC/kixi.stats • Count • (Arithmetic) mean • Geometric mean • Harmonic mean • Median • Variance • Interquartile range • Standard deviation • Standard error • Skewness • Kurtosis • Covariance • Covariance matrix • Correlation • Correlation matrix • Simple linear regression • Standard error of the mean • Standard error of the estimate • Standard error of the prediction • …

9. Single-pass analysis

10. Using transducers is worth it for the composition alone

11. Annoyances • Can only transduce one coll at a time • Always have to pass in an xf • Having functions that return a transducer or not is error prone

12. Sketch algorithms

13. Idea: summarise your data with some data structure and query that

14. Histograms

15. Histogram construction 1. Pick a number of buckets K 2. For each incoming value: 1. If a bucket for it exists, increment it 2. else, add a new bucket with count = 1 3. If there are > K buckets, ﬁnd the two most adjacent buckets and merge them

16. Nice property: merge

17. Estimating values • Assume the bin mean in also its median • Do weighted interpolations • Often we can be precise up to the two bounding buckets

18. Nice property II:   decouples data collection from computation

19. github.com/bigmlcom/histogram

20. Aside: transducers are a good way to wrap Java/ imperative construction

21. Having distributions readily available is great

22. Sampling trick

23. Time slices

24. What about categorical data?

25. Count–min sketch

26. Often approximations are good enough

27. github.com/addthis/stream-lib

28. Takeouts • Transducers are not only performant but also a good modularization protocol • You don’t realise how often you want a distribution until you have it readily available • Often approximations are good enough • You can get surprisingly far on a single machine

29. Questions simon@metabase.com @sbelak

Online statistical analysis using transducers and sketch algorithms

Recomendados

Recomendados

Más contenido relacionado

La actualidad más candente

La actualidad más candente (20)

Similar a Online statistical analysis using transducers and sketch algorithms

Similar a Online statistical analysis using transducers and sketch algorithms (20)

Más de Simon Belak

Más de Simon Belak (20)

Último

Último (20)

Online statistical analysis using transducers and sketch algorithms