Hi all,
I decided to start a new series of posts now focusing on general machine learning with several snippets for anyone to use with real problems or real datasets. Since I am studying machine learning again with a great course online offered this semester by Stanford University, one of the best ways to review the content learned is to write some notes about what I learned. The best part is that it will include examples with Python, Numpy and Scipy. I expect you enjoy all those posts!
Linear Regression
In this post I will implement the linear regression and get to see it work on data. Linear Regression is the oldest and most widely used predictive model in the field of machine learning. The goal is to minimize the sum of the squared errros to fit a straight line to a set of data points. (You can find further information at Wikipedia).
The linear regression model fits a linear function to a set of data points. The form of the function is:
Y = β0 + β1*X1 + β2*X2 + … + βn*Xn
Where Y is the target variable, and X1, X2, ... Xn are the predictor variables and β1, β2, … βn are the coefficients that multiply the predictor variables. β0 is constant.
For example, suppose you are the CEO of a big company of shoes franchise and are considering different cities for opening a new store. The chain already has stores in various cities and you have data for profits and populations from the cities. You would like to use this data to help you select which city to expand next. You could use linear regression for evaluating the parameters of a function that predicts profits for the new store.
The final function would be:
Y = -3.63029144 + 1.16636235 * X1
There are two main approaches for linear regression: with one variable and with multiple variables. Let's see both!
Considering our last example, we have a file that contains the dataset of our linear regression problem. The first column is the population of the city and the second column is the profit of having a store in that city. A negative value for profit indicates a loss.
Before starting, it is useful to understand the data by visualizing it. We will use the scatter plot to visualize the data, since it has only two properties to plot (profit and population). Many other problems in real life are multi-dimensional and can't be plotted on 2-d plot.
If you run this code above (you must have the Matplotlib package installed in order to present the plots), you will see the scatter plot of the data as shown at Figure 1.
Now you must fit the linear regression parameters to our dataset using gradient descent. The objective of linear regression is to minimize the cost function:
where the hypothesis H0 is given by the linear model:
The parameters of your model are the θ values. These are the values you will adjust to minimize cost J(θ). One way to do it is to use the batch gradient descent algorithm. In batch gradient, each iteration performs the update:
With each step of gradient descent, your parameters θ, come close to the optimal values that will achieve the lowest cost J(θ).
For our initial inputs we start with our initial fitting parameters θ, our data and add another dimmension to our data to accommodate the θo intercept term. As also our learning rate alpha to 0.01.
As you perform gradient descent to learn minimize the cost function J(θ), it is helpful to monitor the convergence by computing the cost. The function cost is show below:
A good way to verify that gradient descent is working correctly is to look at the value of J(θ) and check that it is decreasing with each step. It should converge to a steady valeu by the end of the algorithm.
Your final values for θ will be used to make predictions on profits in areas of 35.000 and 70.000 people. For that we will use some matrix algebra functions with the packages Scipy and Numpy, powerful Python packages for scientific computing.
Our final values as shown below:
Y = -3.63029144 + 1.16636235 * X1
Now you can use this function to predict your profits! If you use this function with our data we will come with plot:
Another interesting plot is the contour plots, it will give you how J(θ) varies with changes in θo and θ1. The cost function J(θ) is bowl-shaped and has a global mininum as you can see in the figure below.
This minimum is the optimal point for θo and θi, and each step of gradient descent moves closer to this point.
Linear regression with multiple variables
Ok, but when you have multiple variables ? How do we work with them using linear regression ? That comes the linear regression with multiple variables. Let's see an example:
Suppose you are selling your house and you want to know what a good market price would be. One way to do this is to first collect information on recent houses sold and make a model of housing prices.
Our training set of housing prices in Recife, Pernambuco, Brazil are formed by three columns (three variables). The first column is the size of the house (in square feet), the second column is the number of bedrooms, and the third column is the price of the house.
But before going directly to the linear regression it is important to analyze our data. By looking at the values, note that house sizes are about 1000 times the number of bedrooms. When features differ by orders of magnitude, it is important to perfom a feature scaling that can make gradient descent converge much more quickly.
The basic steps are:
- Subtract the mean value of each feature from the dataset.
- After subtracting the mean, additionally scale (divide) the feature values by their respective “standard deviations.”
The standard deviation is a way of measuring how much variation there is in the range of values of a particular feature (most data points will lie within ±2 standard deviations of the mean); this is an alternative to taking the range of values (max-min).
Now that you have your data scaled, you can implement the gradient descent and the cost function.
Previously, you implemented gradient descent on a univariate regression problem. The only difference now is that there is one more feature in the matrix X. The hypothesis function and the batch gradient descent update rule remain unchanged.
In the multivariate case, the cost function can also be written in the following vectorized form:
J(θ)=12m(Xθ−y)T(Xθ−y)
After running our code, it will come with following function:
215810.61679138, 61446.18781361, 20070.13313796
The gradient descent will run until convergence to find the final values of θ. Next, we will this value of θ to predict the price of a house with 1650 square feet and 3 bedrooms.
θ:=θ−α1mxT(xθT−y)
θ:=θ−α1mxT(xθT−y)
Predicted price of a 1650 sq-ft, 3 br house: 183865.197988
If you plot the convergence plot of the gradient descent you may see that convergence will decrease as the number of iterations grows.
Extra Notes
The Scipy package comes with several tools for helping you in this task, even with a module that has a linear regression implemented for you to use!
The module is scipy.stats.linregress and implements several other techniques for updating the theta parameters. Check more about it here.
Conclusions
The goal of regression is to determine the values of the ß parameters that minimize the sum of the squared residual values (difference betwen predicted and the observed) for the set of observations. Since linear regression is restricted to fiting linear (straight line/plane) functions to data, it's not adequate to real-world data as more general techniques such as neural networks which can model non-linear functions. But linear regression has some interesting advantages:
- Linear regression is the most widely used method, and it is well understood.
- Training a linear regression model is usually much faster than methods such as neural networks.
- Linear regression models are simple and require minimum memory to implement, so they work well on embedded controllers that have limited memory space.
- By examining the magnitude and sign of the regression coefficients (β) you can infer how predictor variables affect the target outcome.
- It's is one of the simplest algorithms and available in several packages, even Microsoft Excel!
I hope you enjoyed this simple post, and in the next one I will explore another field of machine learning with Python! You can download the code at this link.
Marcel Caraciolo
Muito bom, continue assim.
ReplyDeleteAbraço.
excellent post dude.... Keep posting.. Wishing you all the very best
DeleteExcelente Marcel, good job though!
ReplyDeleteCongratulations on Machine Learning in Python! http://www.scn.org/~mentifex/AiMind.html achieves Machine Learning in JavaScript by asking questions for the human user to answer.
ReplyDeleteEnjoy reading your post. Great article, thank you very much! Really nice and impressive blog i found today... Thx for sharing this
ReplyDeleteThis comes in handy for me! Thank you
ReplyDeletethanks so much man - I am really struggling with the stanford course and have been wishing it was in python! this is awesome...
ReplyDeleteis there a video tuorial on this?
ReplyDeleteYour code is a bit confusing in that you do not use at all your compute_cost function!
ReplyDeleteThe result of the cost function is stored in the variable J_history which is never used again.
Furthermore your gradient descent method never checks on a minimal error but just iterates a fixed number of times towards a minimum. This can also lead to bad results.
great tutorial. your code helps my comprehension of the process. do you have any examples of this executed using pandas?
ReplyDeletehi,
ReplyDeleteit[:,1] = X does not seem to work ...
A new column was not added to the array.
Nice work. Thanks!
ReplyDeleteExcellent material can be found in www.KautilyaClasses.com
DeleteI'm pretty sure gradient descent isn't actually linear regression, its a more general solver thats actually more advanced and used with non-linear data. Linear regression will fit only the simplest models but its FAST. Gradient descent is far slower.
ReplyDeleteBoth are different thing.Gradient descent is used for minimising error I.e. getting better theta values. It's also used in neural networks and many other learning algorithms.
Deleteyour are clear the error for python programming language.your site is very useful clear the error for programming.Thank you for sharing your paragraph.Best Python training institute in Chennai
ReplyDeleteI have read you article very useful information for python training.Thank you for sharing you article.Best Python Training in Chennai
ReplyDeleteYou have share the great info. I like your post. Thanks for sharing the good points. I will recommend this info. seo training in jalandhar
DeleteWhy would you not include the datatypes of the inputs in your comments instead of some useless phrase lilke "Comput cost for linear regression"...
ReplyDeleteHow can I use that code in mongodb ? Sry I am quite new, I have a MongoDB Database with a collection of "documents". How can I run this code against my collection. The Objects are only filled with 2 attributes and the attributes are numeric. I want to run a linear regression over these :) Thanks
ReplyDeleteWelcome to Wiztech Automation - Embedded System Training in Chennai. We have knowledgeable Team for Embedded Courses handling and we also are after Job Placements offer provide once your Successful Completion of Course. We are Providing on Microcontrollers such as 8051, PIC, AVR, ARM7, ARM9, ARM11 and RTOS. Free Accommodation, Individual Focus, Best Lab facilities, 100% Practical Training and Job opportunities.
ReplyDelete✔ Embedded System Training in chennai
✔ Embedded System Training Institute in chennai
✔ Embedded Training in chennai
✔ Embedded Course in chennai
✔ Best Embedded System Training in chennai
✔ Best Embedded System Training Institute in chennai
✔ Best Embedded System Training Institutes in chennai
✔ Embedded Training Institute in chennai
✔ Embedded System Course in chennai
✔ Best Embedded System Training in chennai
This is really good share,
ReplyDelete"blueapplecourses"
Embedded system training: Wiztech Automation Provides Excellent training in embedded system training in Chennai - IEEE Projects - Mechanical projects in Chennai. Wiztech provide 100% practical training, Individual focus, Free Accommodation, Placement for top companies. The study also includes standard microcontrollers such as Intel 8051, PIC, AVR, ARM, ARMCotex, Arduino, etc.
ReplyDeleteEmbedded system training in chennai
Embedded Course training in chennai
Matlab training in chennai
Android training in chennai
LabVIEW training in chennai
Robotics training in chennai
Oracle training in chennai
Final year projects in chennai
Mechanical projects in chennai
ece projects in chennai
WIZTECH Automation, Anna Nagar, Chennai, has earned reputation offering the best automation training in Chennai in the field of industrial automation. Flexible timings, hands-on-experience, 100% practical. The candidates are given enhanced job oriented practical training in all major brands of PLCs (AB, Keyence, ABB, GE-FANUC, OMRON, DELTA, SIEMENS, MITSUBISHI, SCHNEIDER, and MESSUNG)
ReplyDeletePLC training in chennai
Automation training in chennai
Best plc training in chennai
PLC SCADA training in chennai
Process automation training in chennai
Final year eee projects in chennai
VLSI training in chennai
This comment has been removed by the author.
ReplyDeleteWiztech Automation is the Leading Best IEEE Final year project Centre in Chennai and the final year students are provided complete guidance and support in their final year projects. The IEEE projects in Chennai that Wiztech Automation offers guidance and support for include complete range of system domains – such as PLC projects, embedded projects, VLSI projects, software projects, IT projects, Civil projects. Students looking for specific projects pertaining to departments of ECE, EEE, E&I, Mechanical, Mechatronics, bio-medical, IT, Computer, Civil projects in B.E, M.E, B.Tech, M.Tech, B.SC., and M.Sc Electronics, could also get turnkey solutions at Wiztech Automation Solutions to turn out successful project outcomes and models. Since the students at Wiztech Automation gain thorough theoretical and practical knowledge and skills as they pursue their final year projects and develop 2015 and 2016 Latest IEEE Projects portraying them well.
ReplyDeleteFinal year projects in chennai
Mechanical projects in chennai
ece projects in chennai
Final year eee projects in chennai
VLSI project center in chennai
Industrial projects in chennai
Fianl year CSE projects in chennai
This can be a single case in which your Uk teacher had been right. But if your article is actually riddled together with punctuation blunders in addition to grammatical mishaps, you'll almost instantly get rid of reliability.nurse personal statement
ReplyDeleteHi admin thanks for sharing informative article on hadoop technology. In coming years, hadoop and big data handling is going to be future of computing world. This field offer huge career prospects for talented professionals. Thus, taking Hadoop & Spark Training in Hyderabad will help you to enter big data hadoop & spark technology.
ReplyDeleteCould you share your ex1data1.txt data ? Thanks
ReplyDeletegot the file @ Coursera Data science tutorial by andrew ng ..excecise week 2 assignment
DeleteExcellent material can be found in www.KautilyaClasses.com
ReplyDeleteHadoop Training Institutes in Noida
ReplyDeleteHadoop Training Institutes in Noida
ReplyDeleteParis airport transfer - Parisairportransfer is very common in Paris that provides facilities to both the businessmen and the tourists. We provide airport transfers from London to any airport in London and also cruise transfer services at very affordable price to our valuable clients.
ReplyDeleteParis taxi
Paris airport shuttle
paris hotel transfer
paris airport transfer
paris shuttle
paris car service
paris airport service
disneyland paris transfer
paris airport transportation
beauvais airport transfer
taxi beauvais airport
taxi cdg airport
taxi orly airport
ReplyDeleteMIDSUMMER SEASON WEDDING WEAR SHOES
Handbag & Clutches For Hot Girls
Front Open Double Shirt
Fashion Gallery Lehenga Choli
Stylo Best Mehndi Designs
HANDBAGS FOR WOMEN FASHION
Latest Sherwani Designs
Bridal Jewellery Set
Zara Shahjahan Eid Dresses
Mehndi Patterns for EID
SUMMER SEASON LADIES DRESSES FASHION
Sophia Tolli Collection
Earrings In Gold Collection
Actress Maya Ali – Fashion Collection
Bridal Gowns Collection
LADIES BLAZER STYLES OUTFITS
MEHNDI DRESS DESIGNS
BRIDAL SHOES
SHIRTS GRAY MAXI SKIRT SKIRTS
BRIDAL DRESSES WESTERN STYLE
LAWN AND CHIFFON OUTFITS
classic lawn suits
mix eid dresses
midsummer kurta
anarkali suits
REVLON NAIL POLISH COLORS
ReplyDeletelehnga choli dresses
bridal makeup
ball garments
babydoll night wear dresses
MEN WEAR WEDDING SHERWANI
Jewelry Women Wear
Saheli Couture By Preity Zinta Dresses
Parties Hairstyle
Zainab Chottani Pretty Suits
STYLISH SUNGLASSES DESIGNS
FROCKS DESIGNS FASHION
LONG GOWNS OUTFITS FASHION
HUMAN SALMAN KHAN STYLISH DRESSES
UTSAV FASHION NET INDIAN SAREES
Fancy Lawn Clothes
Nail Designs For UK Girls
Girls Footwear Selection
Pakistani Lehenga Clothes
Saheli Couture By Preity Zinta Dresses
ReplyDeleteParties Hairstyle
Outfits Fashion For Ladies By Zainab Chottani
Elegant Nail Designs Fashion
Churidar Clothes Fashion Style
Indian Lehenga Choli Bridal Dress
lehnga choli dresses
bridal makeup
STYLISH SUNGLASSES DESIGNS
FROCKS DESIGNS FASHION
Girls Footwear Selection
Pakistani Lehenga Clothes
Fashion Gallery Lehenga Choli
Stylo Best Mehndi Designs
Zara Shahjahan Eid Dresses
Mehndi Patterns for EID
Sophia Tolli Collection
Earrings In Gold Collection
SHIRTS GRAY MAXI SKIRT SKIRTS
midsummer kurta
anarkali suits
WALKS THE RAMP FOR LALA TEXTILES
ReplyDeleteElegant Nail Designs Fashion
Churidar Clothes Fashion Style
Indian Lehenga Choli Bridal Dress
STYLISH SUNGLASSES DESIGNS
FROCKS DESIGNS FASHION
Keep on posting these types of articles. I like your blog design as well. Cheers!!!MATLAB training in noida
ReplyDeleteUseful Information
ReplyDeleteone and only affiliate agency in south INDIA, earn money online from affiliate network in india
ReplyDeletenice post and site, good work! Data Scientist online
Thanku for sharing this excellent posts..
ReplyDeleteSAP GRC training in hyderabad
Thanku for sharing..
ReplyDeletesap fiori online training
Java Training Institute in Noida - Croma Campus imparts the most effective JAVA Training in Noida which is based on the principle write once and run anywhere which means that the code which runs on one platform does not need to be complied again to run on the other.
ReplyDelete
ReplyDeleteI actually enjoyed reading through this posting.Many thanks.
Function Point Estimation Training
This comment has been removed by the author.
ReplyDeleteInformatica training institutes in noida - Croma campus offers best Informatica Training in noida with most experienced professionals. Our Instructors are working in Informatica and joint technologies for more years in MNC’s. We aware of industry needs and we are offering Informatica Training in noida.
ReplyDeleteInformatica training institutes in noida - Croma campus offers best Informatica Training in noida with most experienced professionals. Our Instructors are working in Informatica and joint technologies for more years in MNC’s. We aware of industry needs and we are offering Informatica Training in noida.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteCroma campus has been NO.1 & Best Android training institute in noida offering 100% Guaranteed JOB Placements, Cost-Effective, Quality & Real time Training courses Croma campus provide all IT course like JAVA, DOT NET, ANDROID APPS, PHP, PLC SCADA, ROBOTICS and more IT training then joining us Croma campus and your best futures.
ReplyDeleteCroma campus has been NO.1 & Best Android training institute in noida offering 100% Guaranteed JOB Placements, Cost-Effective, Quality & Real time Training courses Croma campus provide all IT course like JAVA, DOT NET, ANDROID APPS, PHP, PLC SCADA, ROBOTICS and more IT training then joining us Croma campus and your best futures.
ReplyDeleteNice Information:
ReplyDeleteTelugu Cinema Contains Telugu Cinema News, Latest Movie Reviews, Actor, Actress, Movie Galleries And Many More Telugu Cinema News
Nice Information
ReplyDeleteone and only affiliate agency in south INDIA, earn money online from affiliate network in india
Useful Information……
ReplyDeleteRecruitment voice contains Daily GK Updates, Bank Recruitment, Government jobs, Bank jobs, Interview Tips, Banking News, GK Updates Bank Recruitment
This is one of the valuable information share by you about embedded linux course. Thanks for sharing it with us. Keep it on... Training on MATLAB | Training on VLSI
ReplyDeletevery useful information..
ReplyDeletebe projects in chennai
ieee projects in chennai
very useful information..
ReplyDeletebe projects in chennai
ieee projects in chennai
As a full-fledged Industrial automation training in Hyderabad company SOS India offers complete training on PLC & SCADA with advanced hardware facilities.Unlimited Practices-Industrial Tours-Excellent Placements.
ReplyDeleteLearn Big Data from Basics ... Hadoop Training in Hyderabad
ReplyDeleteLearn Big Data from Basics ... Hadoop Training in Hyderabad
ReplyDeleteExcellent post! keep sharing such a informative post.
ReplyDeletedot net training in chennai
nice blog, thanks for sharing
ReplyDeleteObiee Online Education Courses From India
Sap Security Online Training Real Time Support
SQL Server Developer Corporate Training
SQL Server DBA Online Training Real Time Support
Croma campus biggest training center in robotics croma campus no1 Robotics Training Institute in Noida provide best class Rootics Trainer with job placement support.
ReplyDeleteI learning about a lot of great information for this weblog. We share it valuable information.
ReplyDeleteHadoop Training in Chennai
Hadoop Training Chennai
This comment has been removed by the author.
ReplyDeleteWhere can I find dataset for univariate linear regression?
ReplyDeletevery nice article for kickstarting machine learning .thanks
ReplyDeleteThanks You for sharing this post.
ReplyDeleteLinux Training in Chennai
Sagacity Software is one of the best Big Data Analytics Company in india. Sagacity is the top comapany providing services for big data analytics. It offers high performance, analytical solutions for enterprises.
ReplyDeleteThank you, very usefully information about the Machine learning with Python linear.We are offering the Python Training In Hyderabad
ReplyDeleteAnalogica data is a one of the Best Big Data Services Provider Company in India, provide acumens on operations, products and customers. We also support predictive analysis,Big Data Services, master data management, and real time dashboards.
ReplyDeleteAnalogica is a Big Data Analytics, Processing and Solutions company based in India. Our team has lived the evolutions and changes in the data analytics.
ReplyDeleteAnalogica Data is one of the best Big Data Analysis Company in India, provide effective Big Data Solutions, efficient Big Data Analytics services in india.
ReplyDeleteAnalogica Data We are a Big Data Analytics, Processing and Solutions company based in India. Automation testingBig data analysis today is ubiquitous, but with 100+ man years of technical experience, we stand amongst the Top Big Data Analytics Services and Solution in India and US
ReplyDeleteThanks for sharing the information about the Python and keep updating us.This information is really useful to me.
ReplyDeleteYour music is amazing. You have some very talented artists. I wish you the best of success. Pakistani Bridal Dresses
ReplyDeleteJust found your post by searching on the Google, I am Impressed and Learned Lot of new thing from your post. I am new to blogging and always try to learn new skill as I believe that blogging is the full time job for learning new things day by day.
ReplyDelete"Emergers Technologies"
Do you have a website?
ReplyDeleteI have been surfing the internet for more than two hours looking for Page by Page Reviewing services and I have not come across such a wonderful and interesting blog. It has good content and a unique design. I will be visiting it occasionally to read both new and old articles.
ReplyDeleteGreat post! I am actually getting ready to across this information, It's very helpful for this blog.Also great with all of the valuable information you have Keep up the good work you are doing well.
ReplyDeletePython Training in Chennai
This is extremely great information for these blog!! And Very good work. It is very interesting to learn from to easy understood. Thank you for giving information. Please let us know and more information get post to link.
ReplyDeleteAnalytics Training in Chennai
Thank you for taking the time to provide us with your valuable information. We strive to provide our candidates with excellent care and we take your comments to heart.As always, we appreciate your confidence and trust in us
ReplyDeleteMatlab Training in chennai
You are provided an excellent content it's very nice python online training
ReplyDeleteIt is amazing and wonderful to visit your site.Thanks for sharing this information,this is useful to me...
ReplyDeleteAndroid Training in Chennai
Ios Training in Chennai
Automation engineering is all about selecting, integrating, configuring and troubleshooting of various readymade products in different engineering branches which makes the machine run automatically. Autonetics helps to reduce gap between industry and yourself, helps you according to current market trend and industry need. Autonetics provide you portal to meet your professional characteristic and make you industry ready professional. Autonetics offers certification course in PLC Training programs for B.E. and Diploma graduating under and working profession. For a better career and higher post opportunities join Autonetics Training Center.
ReplyDeleteTo know more visit: http://autoneticstraining.com/
Contact: +91 7721988881 / 7721988882
0253 6615509
It is amazing and wonderful to visit your site.Thanks for sharing this information,this is useful to me...
ReplyDeleteAndroid Training in Chennai
Ios Training in Chennai
This is very interesting but the code has syntax errors. Please fix it. Thanks a lot.
ReplyDeleteIt is amazing and wonderful to visit your site.Thanks for sharing this information,this is useful to me...
ReplyDeleteAndroid Training in Chennai
Ios Training in Chennai
I have found this post to be very helpful, it has the kind of information that i would like to see more often. You have a way of getting the attraction of the readers. Its my wish that you will keep on posting. Translating a Novel Written in Kiswahili into English isnt always a walk in the park, at times its recommendable to seek professional help.
ReplyDeleteit is really amazing...thanks for sharing....provide more useful information...
ReplyDeleteMobile app development company
ReplyDeleteشركة عزل اسطح بالاحساء
شركة عزل اسطح بالقطيف
شركة عزل اسطح بالدمام
It is amazing and wonderful to visit your site.Thanks for sharing this information,this is useful to me...
ReplyDeleteAndroid Training in Chennai
Ios Training in Chennai
Nice work thank u for sharing...
ReplyDeleteDot Net Training in Chennai
Online mba in India
ReplyDeleteDEIEDU is the best online Institute in the world with high class course outline and up to date learning materials. DEIEDU is providing the online mba in india, online mba in india, Distance learning mba courses in india, Correspondence mba in India Mba from distance in India, Online Executive Mba in India, distance Mba from India, Online distance mba in India. Distance learning mba degree in India.
Address:
401, fourth floor sg alpha tower
Vashundhra (up)
Phone: 9811210788
Email: info@deiedu.in
Website: http://www.deiedu.in/
online mba in india
Nice Blog! Experience the Best Assignment Writing Services at Assignment Help Sydney Australia
ReplyDeleteDIAC - We are Training industries in the field of industrial automation, industrial maintenance and industrial energy conservation. This opportunity for Fresher/Experienced ENGINEERS in terms of CORE Training And Placements. Call 9310096831.
ReplyDeleteFabulous Information, thanks for sharing check it once through Devops Online Training Hyderabad for more information.
ReplyDeleteGood Posting..
ReplyDeleteReal Estate Private Equity in Chennai
Real Estate Research in Chennai
Real Estate Tax Advisor in Chennai
Legal advisor in Chennai
Webtrackker is the best web development company in Noida
ReplyDeleteWebsite Development Company in Noida,
Website Development Company in Noida sector 64,
Website Development Company in Noida sector 63,
Website Development Company in Noida sector 62,
Website Development Company in Noida sector 58,
Website Development Company in Noida sector 55,
Webtrackker is the best web development company in Noida
ReplyDeleteWebsite Development Company in Noida sector 5,
Website Development Company in Noida sector 37,
Website Development Company in Noida sector 2,
Website Development Company in Noida sector 18,
Website Development Company in Noida sector 15,
Delhi Education Institute,Deiedu
ReplyDeleteonline mba in India,
mba course in India
correspondence mba in india
distance mba in india
Mba in fast track
Distance education in india
Engineering courses in india
Engineering degree in india
Delhi Education Institute,Deiedu
ReplyDeleteDistance B.tech in india
emba in india
Online graduation in india
mba programs in India
online degree in India
Mba open university in india
Management courses in india
online mba institute in India
Webtrackker is the best web development company in Noida
ReplyDeleteWebsite Development Company in Noida,
Website Development Company in Noida sector 64,
Website Development Company in Noida sector 63,
Website Development Company in Noida sector 62,
Website Development Company in Noida sector 58,
Website Development Company in Noida sector 55,
Webtrackker is the best web development company in Noida
ReplyDeleteWebsite Development Company in Noida sector 5,
Website Development Company in Noida sector 37,
Website Development Company in Noida sector 2,
Website Development Company in Noida sector 18,
Website Development Company in Noida sector 15,
Delhi Education Institute,Deiedu
ReplyDeleteonline mba in India,
mba course in India
correspondence mba in india
distance mba in india
Mba in fast track
Distance education in india
Engineering courses in india
Engineering degree in india
Aws online training in india
ReplyDeleteSalesforce online training in india
SAS Online Training in india
Salesforce admin online training in india
Linux Online training in India
React.JS online training in india
ReplyDeletePython online Training in India
Oracle DBA online training in India
Java online Training in India
SAP online Training In india
Digital Marketing Online Training in India
ReplyDeleteCloud Computing Online Training in India
Hadoop online training in INDIA
Javascript Training In Noida
Industrial Training in Noida
java development company in Bangalore
ReplyDeleteJava Training Institute in Noida
PHP Training Institute in Noida
Node.js Training Institute In Noida
Web Designing Training institute in Noida
online mba in india
Python Training Institute in Noida
Salesforce training institute in Noida
Institute Oracle dba training institute in noida
ReplyDeleteBig Data Hadoop Training Institutes in Noida
SAS Training Institute in Noida
Cloud Computing Training Institute in Noida
Digital Marketing Training Institute in Noida
Redhat Linux Training Institute In Noida
SAP Training In Noida
java development company in Bangalore
ReplyDeleteJava Training Institute in Noida
PHP Training Institute in Noida
Node.js Training Institute In Noida
Web Designing Training institute in Noida
online mba in india
Python Training Institute in Noida
Salesforce training institute in Noida
the blog is about Machine Learning with Python - Linear Regression #Python it is useful for students and Python Developers for more updates on python follow the link
ReplyDeletePython Online Training
For more info on other technologies go with below links
tableau online training hyderabad
ServiceNow Online Training
mulesoft Online Training
• I very much enjoyed this article. Nice article thanks for given this information. I hope it useful to many PeopleHadoop admin Online Training
ReplyDeleteadvance happy new year 2018
ReplyDeletehappy new year songs
happy new year 2018 sms hindi
new year dp for whatsapp
happy new year 2018 in advance
new year whatsapp dp
i like your post very much, keep posting such stuff in future also and i would love to read all of your posts
This comment has been removed by the author.
ReplyDeleteThanks for providing me this content.i read your content its so informative. Keep it up.
ReplyDeletePython Training Course in Gurgaon
nie post....
ReplyDeletePMP Training and Certification
Thanks for sharing your knowledge with us. AITTA provide nursery teacher training & Montessori teacher training.
ReplyDeleteSEO company in new york
ReplyDeleteSEO Companyin Texas
SEO Company in losangeles
SEO Company in califonia
SEO Company in Florida
SEO Company in Austin
ReplyDeleteSEO Company in Atlanta
SEO Company in Ohio
SEO Company in Boston
SEO Company in Birmingham
SEO Company in london
SEO Company in leeds
SEO Company in glasgow
Listing your business data on these free business listing sites will increase on-line exposure and provides new avenues to achieve potential customers.
ReplyDeleteHigh PR Business Directory 2018
best linux training intitute in noida
ReplyDeleteBest Oracle dba training institute in noida
Nice blog that you shared with us MATLAB Assignment Help
ReplyDeleteNice! thanks therefore much! thanks for sharing.
ReplyDeleteYour dairy posts area unit a lot of interesting and informative.
your writing is too good..
I think there are many people like and visit it regularly, including me.
PLC Training in Delhi Ncr. We DIAC Automation would like to introduce ourselves as leading company providing Placement Program in Advanced Industrial Automation Training and Process Automation Training for industries. Call @9310096831
ReplyDeletethank you for sharing such a good and useful information, please keep on share like this
ReplyDeletepython training in hyderabad
python online training in hyderabad
python training in ameerpet
Thanks for sharing! Risk management consulting services
ReplyDeleteROI consultant minnesota
consulting company minnesota
Very informative blog that you shared with us Artificial Intelligence Assignment Help
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteIt is very useful information about Python Training. This is the place for learner and glad to be here in this blog Thank you
ReplyDeletePython Training in Hyderabad
Best Python Online Training
Python Training in Ameerpet
Demo for online link
https://lnkd.in/eEikXQT
Register through the link https://goo.gl/YYY7yt
This comment has been removed by the author.
ReplyDeleteCIITN Noida provides Best java training in noida based on current industry standards that helps attendees to secure placements in their dream jobs at MNCs.The curriculum of our Java training institute in Noida is designed in a way to make sure that our students are not just able to understand the important concepts of the programming language but are also able to apply the knowledge in a practical way.
ReplyDeleteJava is inescapable, stopping meters, open transportation passes, ATMs, charge cards and TVs wherever Java is utilized.
What's more, that is the reason Well-prepared, profoundly gifted Java experts are high sought after.
If you wanna best java training, java industrial training, java summer training, core java training in noida, then join CIITN Noida.
Really very informative and creative contents. This concept is a good way to enhance the knowledge.thanks for sharing.
ReplyDeleteplease keep it up.
ERP SAP Training in Gurgaon
This information you provided in the blog that is really unique I love it!! Thanks for sharing such a great blog. Keep posting..
ReplyDeleteSAP FICO Training
SAP FICO Training Institute
SAP FICO Course
Great post. Thank you for sharing such useful information. Please keep sharing
ReplyDeletePython Training in Delhi
nice article...Python Training In Hyderabad!
ReplyDeletePython Training In Ameerpet!
Python Course In Hyderabad!
Thanks for sharing this information and keep updating us. This is informatics and really useful to me.
ReplyDeleteBest Industrial Training in Noida
Best Industrial Training in Noida
You have done amazing work. I really impress by your post about approach a Website designing. This is very useful information for every one.
ReplyDeleteOnline Robot Framework Training
Great post. Thank you for sharing such useful information. Please keep sharing
ReplyDeleteBest B.Tech College in Noida
ReplyDeleteIt's so nice article thank you for sharing a valuable content
Sap Online Access
so nice usefull for me thank you very much
ReplyDeleteMachine Learning Training in Hyderabad
It is really a great work and the way in which u r sharing the knowledge is excellent.Thanks for helping me
ReplyDeleteAlso Check out the : https://www.credosystemz.com/training-in-chennai/best-data-science-training-in-chennai/
Nice work, Much Valuable Post...
ReplyDeletePython Training in Hyderabad
Python Training with Python in Hyderabad
Thank you for your post. This is excellent information. It is amazing and wonderful to visit your site.
ReplyDeleteplots for sale near maheswaram, vanamali
plots for sale near pharmacity, vanamali
plots for sale near kadthal
residential plots sale near pharmacity
A very Nice information thank you so much
ReplyDeleteMachine Learning Training in Hyderabad
Hello friends, my name is Rajat and I work as the head of digital marketing in Delhi. I am affiliated with many MNC’s Software developers. If you are talking about the best educational institution in Delhi,Webtrackker help me get the best educational institute in Delhi.we are you offering some best services in our institute.
ReplyDeleteBest Php Training Institute in Delhi
Best Java Training Institute in delhi
linux Training center in delhi
Web Designing Training center in delhi
Oracle Training Institute in delhi
blue prism Training Institute in delhi
Automation Anywhere Training center In delhi
rpa Training Institute in delhi
hadoop Training center in delhi
Contact Us
WEBTRACKKER TECHNOLOGY (P) LTD.
C- 67, Sector- 63, Noida
f-1 sector 3 noida
Phone: 0120-4330760, 880-282-0025
Email: mailto:info@webtrackker.com
Web: http://www.webtrackker.com
خدمات نقل وتخزين الاثاث
ReplyDeleteتعرف شركة شراء اثاث مستعمل جدة
ان الاثاث من اكثر الاشياء التي لها ثمن غالي ومكلف للغايةويحتاج الي عناية جيدة وشديدة لقيام بنقلة بطريقة غير مثالية وتعرضة للخدش او الكسر نحن في غني عنه فأن تلفيات الاثاث تؤدي الي التكاليف الباهظة نظرا لتكلفة الاثاث العالية كما انه يؤدي الي الحاجه الي تكلفة اضافية لشراء اثاث من جديد ،
شركة شراء اثاث مستعمل بجدة
، ونظرا لان شركة نقل اثاث بجدة من الشركات التى تعلم جيدا حجم المشكلات والاضرار التى تحدث وهي ايضا من الشركات التى على دراية كاملة بكيفية الوصول الى افضل واحسن النتائج فى عملية النقل ،كل ماعليك ان تتعاون مع شركة شراء الاثاث المستعمل بجدة والاعتماد عليها بشكل كلي في عملية نقل الاثاث من اجل الحصول علي افضل النتائج المثالية في عمليات النقل
من اهم الخدمات التي تقدمها شركة المستقبل في عملية النقل وتجعلك تضعها من
ضمن اوائل الشركات هي :
اعتماد شراء الاثاث المستعمل بجدة علي القيام بأعمال النقل علي عدة مراحل متميزة من اهما اثناء القيام بالنقل داخل المملكة او خارجها وهي مرحلة تصنيف الاثاث عن طريق المعاينة التي تتم من قبل الخبراء والفنين المتخصصين والتعرف علي اعداد القطع الموجودة من قطع خشبية او اجهزة كهربائية ا تحف او اثاث غرف وغيرهم.
كما اننا نقوم بمرحلة فك الاثاث بعد ذلك وتعتمد شركتنا في هذة المرحلة علي اقوي الاساليب والطرق المستخدمة ويقوم بذلك العملية طاقم كبير من العمالة المتربة للقيام بأعمال الفك والتركيب.
ارقام شراء الاثاث المستعمل بالرياضثم تأتي بعد ذلك مرحلة التغليف وهي من اهم المراحل التي تعمل علي الحفاظ علي اثاث منزلك وعلي كل قطعة به وتتم عملية التغليف بطريقة مميزة عن باقي الشركات.
محلات شراء الاثاث المستعمل بالرياضويأتي بعد ذلك للمرحلة الاخيرة وهي نقل الاثاث وتركيبة ويتم اعتمادنا في عملية النقل علي اكبر الشاحنات المميزة التي تساعد علي الحفاظ علي كل قطع اثاثك اثناء عملية السير والنقل كما اننا لا نتطرق الي عمليات النقل التقليدية لخطورتها علي الاثاث وتعرضة للخدش والكسر .
تخزين الاثاث بالرياض
ارقام شراء الاثاث المستعمل بجدة
تمتلك شركة المستقبل افضل واكبر المستودعات المميزة بجدة والتي تساعد علي تحقيق اعلي مستوي من الدقة والتميز فأذا كنت في حيرة من اتمام عملية النقل والتخزين فعليك الاستعانة بشركة نقل اثاث بجدة والاتصال بنا ارقام محلات شراء الاثاث المستعمل بجدة
والتعاقد معنا للحصول علي كافة خدماتنا وعروضنا المقدمة بأفضل الاسعار المقدمة لعملائنا الكرام .
Hello friends, my name is Rohit and I work as the head of digital marketing in Delhi. I am affiliated with many MNC’s Software developers. If you are talking about the best educational institution in Delhi,Webtrackker help me get the best educational institute in Delhi.we are you offering some best services in our institute.with 100% job offers are available .
ReplyDeleteWebtrackker is one only IT company who will provide you best class training with real time working on marketing from last 4 to 8 Years Experience Employee. We make you like a strong technically sound employee with our best class training.
WEBTRACKKER TECHNOLOGY (P) LTD.
C - 67, sector- 63, Noida, India.
F -1 Sector 3 (Near Sector 16 metro station) Noida, India.
+91 - 8802820025
0120-433-0760
more information
Best SAS Training Institute in delhi
SAS Training in Delhi
SAS Training center in Delhi
Best Sap Training Institute in delhi
Best Sap Training center in delhi
Sap Training in delhi
Best Software Testing Training Institute in delhi
Software Testing Training in delhi
Software Testing Training center in delhi
Best Salesforce Training Institute in delhi
Salesforce Training in delhi
Salesforce Training center in delhi
Best Python Training Institute in delhi
Python Training in delhi
Best Python Training center in delhi
Best Android Training Institute In delhi
Android Training In delhi
best Android Training center In delhi
Nice information thank you.
ReplyDeleteDeep Learning Training in Hyderabad
Thanks for sharing valuable information with real content go with Devops Online Training Hyderabad
ReplyDeleteThis is very nice thank you for sharing python Online Training Bangalore
ReplyDeletethanks lot for sharing.
ReplyDeleteAssignment help with professional Assignment Writers with Excellent quality outcomes.
Assignment Writers
Nice Blog. Thank you for sharing this.
ReplyDeleteEmbedded Training in Chennai | Embedded course in chennai
Nice blog thank you for sharing python Online Training
ReplyDeleteBest practical oriented automation training course with hands on training for every participant with dedicated many PLC systems and PC.Well prepared course material and PLC software and study material will be provided during the course. Call @9953489987.
ReplyDeleteNice article thanks for given this information. I hope it useful to many People.
ReplyDeletePython Training in Gurgaon
I read this article. I think You put a lot of effort to create this article. I appreciate your work. salesforce Online Training Hyderabad
ReplyDeleteFREE DEMO - SUMMER TRAINING REGISTRATION 2018
ReplyDeleteJune Batch for PLC, SCADA, DRIVES, PANEL, ROBOTICS, AUTOMATION
Call us to get Fee Details | Discounts | How to Confirm Your Seat | Syllabus
Few Seats Left | First Come Basis | DON’T DELAY
You Can book your seat by PayTm Rs. 500/- to +91-9818293887. This will be adjusted from actual fees.
Ask your Query: 91- 9953489987
More details: http://www.diac.co.in/summerwinter-training/
Nice blog thank you for sharing This information python Online Training
ReplyDelete
ReplyDeletethe blog is good and Interactive it is about Mulesoft API Developer it is useful for students and Mulesoft Developers for more updates on Mulesoft mulesoft Online training
• Nice and good article. It is very useful for me to learn and understand easily. Thanks for sharing your valuable information and time. Please keep updating servicenow Online Training
ReplyDeletethanks for giving nice information sir
ReplyDeletePhython training in ameerpet
Traveling with your family. Try to use the Dịch Vụ Làm Visa Viseca offers a wide selection of Mastercard and Visa credit cards. Read more online now and make a free comparison.
ReplyDeleteIt’s a great post. Keep sharing this kind of worthy information. Good luck!
ReplyDeleteSalesforce Course in Chennai | Salesforce Training Institutes in Chennai
Hi
ReplyDeleteNice blog this informations is unique information i haven't seen ever by seeing this blog i came know lots of new things
those are very useful tom me i will suggest the peopele who are looking this type of information
python training in hyderabad the best career
The information which you have provided is very good. It is very useful who is looking for Java online course Bangalore
ReplyDeleteNice blog this information is unique information i haven't seen ever by seeing this blog i came know lots of new things
ReplyDeletepython training in Hyderabad the best career
This concept is a good way to enhance the knowledge.thanks for sharing. please keep it up salesforce Online Training Bangalore
ReplyDeleteArtificial intelligence training in Bangalore
ReplyDeleteMastering Machine Learning
AWS Training in Bangalore
Best Big Data and Hadoop Training in Bangalore
Blockchain training in bangalore
Python Training in Bangalore
Thanks for providing good information,Thanks for your sharing python Online Training
ReplyDeleteNice blogs about Mastering Linux Shell Scripting at The
ReplyDeleteMastering Linux Shell Scripting training in bangalore
Thank you for sharing beneficial information nice post learn mulesoft online
ReplyDeleteuseful blog
ReplyDeletehadoop training in chennai
nice blog
ReplyDeleteandroid training in bangalore
ios training in bangalore
machine learning online training
the blog is good and Interactive it is about Mulesoft it is useful for students and Mulesoft Developers for more updates on Mulesoft mulesoft Online training
ReplyDelete
ReplyDeleteNice blog..! I really loved reading through this article. Thanks for sharing such
a amazing post with us and keep blogging...
python online training in hyderabad
Iot Training in Bangalore
ReplyDeleteMachine Learning Training in Bangalore
Pcb Training in Bangalore
Devops Training in Bangalore
Thanks for providing good information,Thanks for your sharing python Online Training
ReplyDeleteHire Best Software Developers London UK, Python app developers UK
ReplyDeleteThis is one of most impressive blog, hadoop is booming technology start your bright career Hadoop training in Hyderabad
ReplyDeleteThanks for providing good information,Thanks for your sharing python Online Training Bangalore
ReplyDeleteThanks For giving a valuable information which is useful for everyone.keep on posting these type of blogs.
ReplyDeleteOnline Python Training in Hyderabad
This comment has been removed by the author.
ReplyDeleteVery interesting and informative blog. python training in Chennai
ReplyDeleteThanks for providing good information,Thanks for your sharing python Online Training
ReplyDeleteReally a good post, thanks for sharing .keep it up.
ReplyDeleteBest Web Design Training Institutes in Noida
Best Hadoop Training Institutes In Noida
Best Digital Marketing Training Institute in Noida
Sap Training Institute in Noida
Best Java Training Institute in Noida
SAP SD Training Institute in Noida
Best Auto CAD Training Institute In Noida
Australia Best Tutor offer different types of services at affordable price.
ReplyDeletelive Chat @ https://www.australiabesttutor.com/assignment-help
Read More @
Finance Assignment Help Tasmania
Statistics Assignment Help Tasmania
Nursing Assigment Help Tasmania
Dissertation Writing Services
Assignment Help Tasmania
Hi,
ReplyDeleteThanks for sharing such an informative blog. I have read your blog and I gathered some needful information from your post. Keep update your blog. Awaiting for your next update.
sap abap developer training
Salesforce Training Institute in Noida
ReplyDeleteSalesforce Training in noida
Best Salesforce Training Institutes in Noida
Best Aws Training Institutes in Noida
best aws training in noida
aws training institute in noida
best data science training institute in delhi
python Training Institute in noida
sas Training Institute in noida
linux Training Institute in noida
This comment has been removed by the author.
ReplyDeleteThank you.. This is very helpful. . python Online Training
ReplyDeleteshort term job oriented courses after graduation
ReplyDelete100% job guarantee course
job oriented courses after graduation
courses with guaranteed jobs
professional courses with job placement
Australia Best Tutor is offer excellent my assignment help to the students. The quality of the Management Assignment Help Tasmania provided by them is truly exceptional.
ReplyDeleteRead More @
My Assignment Help NSW
Management Assignment Help Tasmania
Live Chat @
https://www.australiabesttutor.com/management-project-assignment-help
My Genius Mind is a renowned academic portal that offers impressive academic support to the students.
ReplyDeleteLive Chat @ https://www.mygeniusmind.com/
Read More @
Western Australia Assignment Help
Writing Services Melbourne
Australia Best Tutor
Hobart Tasmania Assignment Help
obat kuat viagra usa original
ReplyDeleteobat kuat viagra usa 100mg
obat kuat viagra usa 100mg asli
obat pembesar penis
alat pembesar penis
celana vakoou
alat pembesar penis
selaput dara buatan
titan gel pembesar penis
vimax izon
Thank you.. This is very helpful. . python Online Course
ReplyDeleteThank you for your post. This is excellent information. It is amazing and wonderful to visit your site.
ReplyDeleteBest IOT Training Institute In Noida ,
INDustrial Training in Noida ,
paid internship training in Noida ,
Best Software Testing Training institute in Noida,
iOS Training institute in Noida
,
iPhone apps Training institute in Noida,
Android Training Institute In Noida,
Dot Net Training Institute in Noida ,
SAP FICO Training Institute in Noida ,
ReplyDeleteblue prism training in noida,
SAP MM Training Institute in Noida ,
Automation Anywhere Training Institute In Noida ,
Kafka Training Institute in Noida
Jenkins training institute in Noida
Devops training institute in Noida
OWASP training institute in Noida
JULIA training institute in Noida
HASKELL training institute in Noida,
ReplyDeleteArtificial Intelligence Training institutes in Noida ,
best php training institute in noida ,
mvc training institute in noida ,
angularjs training institute in noida ,
Android apps Training Institute In Noida
I have read your blog its very attractive and impressive. I like your blog.
ReplyDeletemachine learning online training