This article was published as a part of the Data Science Blogathon.
Let’s Start with my Hackathon Journey. I have always wondered how to participate and ace data science hackathons but it was only when the country went into lockdown that I started exploring this.
I came across a wonderful Datacamp course called “Winning a Kaggle Competition in Python” to kick start my Hackathon journey. This 4 Hour course gave me an understanding of Hackathons and how to approach them. When we learn some new skill we have to test our skills in new platforms to apply our learnings.
While I was thinking of which platform to test my acquired knowledge, all of a sudden I got a notification from Analytics Vidhya (AV) for a Hackathon and the use cases were relatable to Data Science and Machine Learning use cases at work.
Without a second thought, I logged into AV, went to the hackathon section and selected Active Hackathons but there were too many to choose from! I was eager to start with a basic and easy to understand Problem as a beginner in Hackathons.
The HR Analytics problem really caught my eye and I was quite excited to start my first Hackathon. It’s an interesting Binary Classification problem – meaning the Target we are going to predict will have only 2 Categories – Yes ( Promoted ) or No ( Not Promoted).
Link to HR Analytics Hackathon!
Our client is a large MNC and they have 9 broad verticals across the organization. One of the problems the client is facing is around identifying the right people for promotion (only for the manager position and below) and prepare them in time. Currently the process, they are following is:
For the above mentioned process, the final promotions are only announced after the evaluation and this leads to delay in transition to their new roles. Hence, the company needs our help in identifying the eligible candidates at a particular checkpoint so that they can expedite the entire promotion cycle.
Let me help you kick start your Hackathon Journey right away with a 10 Step Process that can be repeated, optimized, and improved over time. Even though there are a few other steps in addition to these 10 Steps, this will be a great foundation to help you get started quickly and put you to practice.
Rest assured, you will be in a good position to tackle any Hackathons (with table data) with a few weeks of practice. Hope you are enthusiastic, curious to learn more, and excited to start this amazing Data Science journey with Hackathons!
Variable | Definition |
employee_id | Unique ID for employee |
department | Department of employee |
region | Region of employment (unordered) |
education | Education Level |
gender | Gender of Employee |
recruitment_channel | Channel of recruitment for employee |
no_of_trainings | no of other trainings completed in previous year on soft skills, technical skills etc. |
age | Age of Employee |
previous_year_rating | Employee Rating for the previous year |
length_of_service | Length of service in years |
KPIs_met >80% | if Percent of KPIs(Key performance Indicators) >80% then 1 else 0 |
awards_won? | if awards won during previous year then 1 else 0 |
avg_training_score | Average score in current training evaluations |
is_promoted | (Target) Recommended for promotion |
We are given multiple attributes based on an Employee’s past and current performance along with demographics. Now, our task is to predict whether a potential employee at a checkpoint in the test set will be promoted or not after the evaluation process.
F1 Score = 2* ( (precision*recall) / (precision+recall) )
# Warning Libraries warnings.filterwarnings("ignore") # Scientific and Data Manipulation Libraries import pandas as pd import numpy as np import math import gc import os # Data Preprocessing, Machine Learning and Metrics Libraries from sklearn.preprocessing import LabelEncoder, OneHotEncoder from sklearn.preprocessing import StandardScaler, MinMaxScaler, RobustScaler, MaxAbsScaler from sklearn.ensemble import VotingClassifier from sklearn.metrics import f1_score # Boosting Algorithms from xgboost import XGBClassifier from catboost import CatBoostClassifier from lightgbm import LGBMClassifier # Data Visualization Libraries import matplotlib.pyplot as plt import seaborn as sns import plotly.io as pio import plotly.graph_objects as go import plotly.express as px
1. Warning Libraries – Used to ignore any warnings in libraries
2. Scientific and Data Manipulation – Used to manipulate Numeric data using Numpy and Table data using Pandas
3. Data Preprocessing, Machine Learning, and Metrics Libraries – Used to pre-process the data by encoding, scaling, ensembling, and measure the date using evaluating metrics like F1 Score
4. Boosting Algorithms – XGBoost, CatBoost, and LightGBM Tree-based Classifier Models are used for Binary as well as Multi-Class classification
5. Data Visualization Libraries – Matplotlib, Seaborn, and Plotly are used for visualization of the single or multiple variables
# Looks at the first 5 rows of the Train and Test data train = pd.read_csv('1. Data/train.csv') test = pd.read_csv('1. Data/test.csv') # Looks at the first 5 rows of the Train and Test data display('Train Head :',train.head()) display('Test Head :',test.head()) # Displays Information of Columns of Train and Test data train.info() test.info() # Displaya Descriptive Statistics of Train and Test data display('Train Description :',train.describe()) display('Test Description :',test.describe()) # Displays Correlation between Features through HeatMap - Ligther Color means Higher Correlation sns.heatmap(train.corr(), annot = True);
Reading the Data Files in CSV Format – Pandas read_csv method is used to read the csv file and convert into a Table like Data structure called a DataFrame. So 2 DataFrames are created for Train and Test.
Apply Head on Data – Used to view the Top 5 rows to get an overview of the data.
Apply Info on Data – Used to display information on Columns, Data Types and Memory usage of the DataFrames.
Apply Describe on Data – Used to display the Descriptive statistics like Count, Unique, Mean, Min, Max .etc on Numerical Columns.
Data Visualization Libraries – Matplotlib, Seaborn, and Plotly are used for visualization of the single or multiple variables.
# Removes Data Duplicates while Retaining the First one def remove_duplicate(data): data.drop_duplicates(keep="first", inplace=True) return "Checked Duplicates" # Removes Duplicates from train data remove_duplicate(train)
Checking the Train Data for Duplicates – Removes the duplicate rows by keeping the first row. No duplicates were found in Train data.
# Fills Missing Values in Train and Test : train[ "previous_year_rating"} = train["previous_year_rating"}.fillna(0) test["previous_year_rating"} = test["previous_year_rating"}.fillna(0) # Creates a New Column to see if missing previous_year_rating and length_of_service = 1 Year are related train['Fresher'} = train['previous_year_rating'}.apply(lambda x: 'Fresher' if x ==0 else 'Experienced') display( train[["previous_year_rating","length_of_service",'Fresher'}}[train['Fresher'} =='Fresher'} ) train["education"} = train["education"}.ffill(axis = 0) train["education"} = train["education"}.bfill(axis = 0) test["education"} = test["education"}.ffill(axis = 0) test["education"} = test["education"}.bfill(axis = 0) display("Train : ", train.info()) display("Test: ", test.info())
There are Missing Values in 2 Columns “previous_year_rating” and “education”.
What is the Intuition that went on to filling the Column “previous_year_rating” using Zero – Let us think of, Why is the Data Missing in Column “previous_year_rating” in the first place?
Filling Missing Values in Data – Filling missing value with Mode (Most frequently occurring value ) and introducing a New Category “Others” are the most commonly used techniques that didn’t work on the Column “education” as F1-Score reduced.
Apply ffill on Data – Used to forward fill that fills the current missing value with Previous Row value. If the previous row value is NaN (Not a Number) it moves to the next row without filling.
Apply bfill on Data – Used to Backward fill that fills the current missing value with Next Row Value. If the next row value is NaN (Not a Number) it moves to the next row without filling.
Since Ffill and Bfill worked well, we can assume that while Collecting data, relevant data of relevant employees with the same educational background were collected close to one another in a sequential manner.
# Based on Age Distribution - Most of the Employees are in range 20-40 who will be also waiting for a Promotion # so we have created 2 Bins 20-29, 29-39 and remaining 1 Bin for 39-49. # displot -> plot a univariate(Single Feature) distribution of observations. sns.distplot(train['age'}) train['age'} = pd.cut( x=train['age'}, bins=[20, 29, 39, 49}, labels=['20', '30', '40'} ) test['age'} = pd.cut( x=test['age'}, bins=[20, 29, 39, 49}, labels=['20', '30', '40'} )
Based on Age Distribution – Most of the employees are in the range 20-40 who will be waiting for a promotion, so we have created 2 bins 20-29, 29-39, and the remaining 1 bin for 39-49.
# Split train into X_train (Features) and y_train (Target) : X_train = train.drop('is_promoted',axis=1) y_train = train['is_promoted'} y_train = y_train.to_frame() X_test = test
Split Train Data into Features and Target –Drop the Target column from the DataFrame to get the other features or independent variables.
def data_encoding( encoding_strategy , encoding_data , encoding_columns ): if encoding_strategy == "LabelEncoding": print("IF LabelEncoding") Encoder = LabelEncoder() for column in encoding_columns : print("column",column ) encoding_data[ column } = Encoder.fit_transform(tuple(encoding_data[ column })) elif encoding_strategy == "OneHotEncoding": print("ELIF OneHotEncoding") encoding_data = pd.get_dummies(encoding_data) dtypes_list =['float64','float32','int64','int32'} encoding_data.astype( dtypes_list[0} ).dtypes return encoding_data encoding_columns = [ "region", "age","department", "education", "gender", "recruitment_channel" } encoding_strategy = [ "LabelEncoding", "OneHotEncoding"} X_train_encode = data_encoding( encoding_strategy[1} , X_train , encoding_columns ) X_test_encode = data_encoding( encoding_strategy[1} , X_test , encoding_columns ) # Display Encoded Train and Test Features : display(X_train_encode.head()) display(X_test_encode.head())
One Hot Encoding will be applied only to Object or Categorical Columns . It is most common to one-hot encode these object columns. Pandas offers a convenient function called get_dummies to get one-hot encodings. Many machine learning algorithms cannot operate on label or categorical data directly. This means that categorical data must be converted to a numerical form. In One Hot Encoding the integer encoded variable is removed and a New Binary variable is added for each Unique label or category value – Jason Brownlee
def data_scaling( scaling_strategy , scaling_data , scaling_columns ): if scaling_strategy =="RobustScaler" : scaling_data[scaling_columns} = RobustScaler().fit_transform(scaling_data[scaling_columns}) elif scaling_strategy =="StandardScaler" : scaling_data[scaling_columns} = StandardScaler().fit_transform(scaling_data[scaling_columns}) elif scaling_strategy =="MinMaxScaler" : scaling_data[scaling_columns} = MinMaxScaler().fit_transform(scaling_data[scaling_columns}) elif scaling_strategy =="MaxAbsScaler" : scaling_data[scaling_columns} = MaxAbsScaler().fit_transform(scaling_data[scaling_columns}) else : # If any other scaling send by mistake still perform Robust Scalar scaling_data[scaling_columns} = RobustScaler().fit_transform(scaling_data[scaling_columns}) return scaling_data # RobustScaler is better in handling Outliers : scaling_strategy = ["RobustScaler", "StandardScaler","MinMaxScaler","MaxAbsScaler"} X_train_scale = data_scaling( scaling_strategy[0} , X_train_encode , X_train_encode.columns ) X_test_scale = data_scaling( scaling_strategy [0} , X_test_encode , X_test_encode.columns ) # Display Scaled Train and Test Features : display(X_train_scale.head()) display(X_train_scale.columns) display(X_train_scale.head())
Standardization of a dataset is a common requirement for many machine learning estimators. Typically this is done by removing the mean and scaling to unit variance like StandardScaler.
Outliers can often influence the sample mean and variance. RobustScaler which uses the median and the interquartile range often gives better results as it gave for this dataset.
# Baseline Model Without Hyperparameters : Classifiers = {'0.XGBoost' : XGBClassifier(), '1.CatBoost' : CatBoostClassifier(), '2.LightGBM' : LGBMClassifier() }
# Fine Tuned Model With-Hyperparameters : Classifiers = {'0.XGBoost' : XGBClassifier(learning_rate =0.1, n_estimators=494, max_depth=5, subsample = 0.70, verbosity = 0, scale_pos_weight = 2.5, updater ="grow_histmaker", base_score = 0.2), '1.CatBoost' : CatBoostClassifier(learning_rate=0.15, n_estimators=494, subsample=0.085, max_depth=5, scale_pos_weight=2.5), '2.LightGBM' : LGBMClassifier(subsample_freq = 2, objective ="binary", importance_type = "gain", verbosity = -1, max_bin = 60, num_leaves = 300, boosting_type = 'dart', learning_rate=0.15, n_estimators=494, max_depth=5, scale_pos_weight=2.5) }
Here we have reached Modelling. The most Interesting and Exciting part of the whole Hackathon to me is Modelling but we need to understand it is only 5-10 % of the Data Science Lifecycle.
Top winners of Kaggle and Analytics Vidhya Data Science Hackathons mostly use Gradient Boosting Machines (GBM).
1. What is LightGBM?
- LightGBM is a gradient boosting framework that uses tree based learning algorithm.
2. How does it differ from other tree-based algorithms?
- LightGBM grows trees vertically while other algorithms grow trees horizontally meaning that this algorithm grows tree leaf-wise (row by row) while other algorithms grow level-wise.
3. How does it Work?
- It will choose the leaf with max delta loss to grow. When growing the same leaf, Leaf-wise algorithm can reduce more loss (in that it chooses the leaf it believes will yield the largest decrease in loss) than a level-wise algorithm but is prone to over-fitting.
LightGBM is faster than XGBoost and it is 20 times faster with the same performance is what LightGBM’s creators claim.
scale_pos_weight,
default = 1.0
, type = double, constraints: scale_pos_weight > 0.0
binary
and multiclassova
applicationsis_unbalance
, choose only one of themOnly 8.5% (4668 out of total 54,808) of Employees were recommended for promotion based on Train data.
boosting_type
default = gbdt
, type = enum, options: gbdt
, rf
, dart
, goss
, aliases: boosting_type
, boost
gbdt
, traditional Gradient Boosting Decision Tree, aliases: gbrt
( Stable and Reliable )rf
, Random Forest, aliases: random_forest
dart
, Dropouts meet Multiple Additive Regression Trees ( Used ‘dart’ for Better Accuracy as suggested in Parameter Tuning Guide for LGBM for this Hackathon and worked so well though ‘dart’ is slower than default ‘gbdt’ )goss
, Gradient-based One-Side Sampling
gbdt
mode for the first 1 / learning_rate
iterationsAs per the Parameter Tuning Guide for LGBM for Better Accuracyused small learning_rate
with large num_iterations.
num_iterations
, default = 100
, type = int, aliases: num_iteration
, n_iter
, num_tree
, num_trees
, num_round
, num_rounds
, num_boost_round
, n_estimators
, constraints: num_iterations >= 0
num_class * num_iterations
trees for multi-class classification problemslearning_rate
, default = 0.1
, type = double, aliases: shrinkage_rate
, eta
, constraints: learning_rate > 0.0
dart
, it also affects on normalization weights of dropped trees.max_depth
, default = -1
, type = int
To deal with over-fitting restrict the max depth of the tree model when data is small. The tree still grows leaf-wise
< = 0 means no restriction
1. What is XGBoost?
- XGBoost (eXtreme Gradient Boosting) is an implementation of gradient boosted decision trees designed for speed and performance.
- XGBoost is an algorithm that has recently been dominating machine learning Kaggle competitions for tabular data.
2. How it differs from other tree-based algorithms?
- XGBoost makes use of a greedy algorithm (in conjunction with many other features).
3. How does it Work?
- XGboost has an implementation that can produce high-performing model trained on large amounts of data in a very short amount of time.
XGBoost wins you Hackathons most of the times, is what Kaggle and Analytics Vidhya Hackathon Winners claim!
subsample
default=1
updater
default= grow_colmaker,prune
grow_colmaker
: non-distributed column-based construction of trees.grow_histmaker
: distributed tree construction with row-based data splitting based on the global proposal of histogram counting.grow_local_histmaker
: based on local histogram counting.grow_quantile_histmaker
: Grow tree using a quantized histogram.grow_gpu_hist
: Grow tree with GPU.sync
: synchronizes trees in all distributed nodes.refresh
: refreshes tree’s statistics and/or leaf values based on the current data. Note that no random subsampling of data rows is performed.prune
: prunes the splitsbase_score
default=0.5
1. What is CatBoost?
- CatBoost is a high-performance open source library for gradient boosting on decision trees.
- CatBoost is derived from two words Category and Boosting.
2. Advantages of CatBoost over the other 2 Models?
- Very High performance with little parameter tuning as you can see the above code compared to other 2
- Handling of Categorical variables automatically with a Special Hyperparameter “cat_features“.
- Fast and scalable GPU version with CatBoost.
- In my experiments with Hackathons and Real world data, Catboost is the Most Robust Algorithm among the 3, check the score below for this Hackathon too.
3. How does it work better?
- CatBoost can handle categorical variables through 6 different methods of quantization, a statistical method that finds the best mapping of classes to numerical quantities for the model.
- CatBoost algorithm is built in such a way very less tuning is necessary, this leads to less overfitting and better generalization overall.
1
0.66
0.80
voting_model = VotingClassifier(estimators=[ ('XGBoost_Best', list(Classifiers.values{})[0}), ('CatBoost_Best', list(Classifiers.values{})[1}), ('LightGBM_Best', list(Classifiers.values{})[2}), }, voting='soft',weights=[5,5,5.2}) voting_model.fit(X_train_scale,y_train) predictions_of_voting = voting_model.predict_proba( X_test_scale )[::,1}
Max Voting using Voting Classifier: Max voting method is generally used for classification problems. In this technique, multiple models are used to make predictions for each data point. The predictions by each model are considered as a ‘vote’. The predictions which we get from the majority of the models are used as the final prediction.
Example: If we ask 5 of our Readers to rate this Article (out of 5): We’ll assume three of them rated it as 5 while two of them gave it a 4. Since the majority gave a rating of 5, the final rating of this article will be taken as 5 out of 5. You can consider this similar to taking the mode of all the predictions.
Voting Classifier supports two types of voting:
Hard Voting : In hard voting, the predicted output class is a class with the highest majority of votes i.e the class which had the highest probability of being predicted by each of the classifiers. Suppose 5 classifiers predicted the output class(A,B,A, A, B), so here the majority predicted A as output. Hence A will be the final prediction.
Soft Voting : In soft voting, the output class is the prediction based on the average of probability given to that class. Suppose given some input to three models, the prediction probability for class A = (0.30, 0.47, 0.53) and B = (0.20, 0.32, 0.40). So the average for class A is 0.4333 and B is 0.3067, the winner is clearly class A because it had the highest probability averaged by each classifier.
Note: We need to make sure to include a variety of models to feed a Voting Classifier to be sure that the error made by one might be resolved by the other.
# Round off the Probability Results : predictions = [int(round{value}) for value in predictions_of_voting}
# Create a Dataframe Table for Submission Purpose : Result_Promoted = pd.DataFrame({'employee_id': test["employee_id"}, 'is_promoted' : predictions})
Result_Promoted.to_csv("result.csv",index=False)
Analytics Vidhya Solution Checker Feature: We can make ANY Number of Submissions to Check the Leaderboard Score. This Technique is called Leaderboard Probing as we have tuned our Models based on Leaderboard Score instead of an essential Local Cross-Validation Score (which we will see in detail in Part 2 of this Hackathon Series).
In Real-world scenarios, we need to build a strong Local Cross-Validation Strategy.
Experiment 1: We need to start experimenting with various Machine Learning Models starting from the below list:
Experiment 2: Since all of the above 3 Models gives an F1 Score close to 40% in the Leaderboard and Top Ranks have close to 53-54% F1 Scores, we can try all the 3 Tree-Based Boosting Models as we have discussed above to get better scores and reach better overall ranks.
Now we have reached a range of 47-48 % F1-Score with all 3 Boosted models.
Experiment 3: Let us Tune these models to get the best out of all 3 because Target is highly imbalanced as scale_pos_weight = 2.5 helped the most to tackle the imbalance.
After fine-tuning the hyperparameters, F1-Score reached >51% in all 3 models. Now we are close to the Top Ranks ha 53-54% F1 Scores. Now we have a chance as it is only a 2% difference in the Scores.
Experiment 4 : To get a good F1-Score and Reach Top Ranks, Let us try to Average 3 ML Model Predictions using Voting Classifier Technique with both HARD and SOFT Voting (with Weights) :
We have finally reached the Top 4 Rank of the HR Analytics Hackathon. The journey has been a roller coaster ride with lots and lots of learnings and experiments with intuition, logic, and application of Data Science Concepts.
Always focus on the Problem and know how much impact our predictions will make and Build Stable and Robust Models that will run quick and can generalize on new unseen data over Winning the Hackathons. This change in focus will surely help a lot in Real-World Scenarios of Data Science. – Vetrivel_PS
We have tried to solve the problem of predicting the right employees for Promotion. If it is a Real-World setup, solving this problem will have a Huge Impact for both the Client’s Company for decision making and Deserving Candidates who can move up in their career – a WIN-WIN Situation!
Special Mention – These Solutions were my motivations so that I could one day hope to equal or better these Ranks with a Simpler Solution!
Here we have a much simpler Rank 4 Solution using our 10 Step Beginners Approach.
Happy to take you all through My First Hackathon journey to reach a Top Rank. Thanks a lot for reading if you find this article helpful please share it with Data Science Beginners to get started with Hackathons and keep waiting for Part 2 of this Hackathon Series which will explain many more steps like Cross-Validation, Running Models in GPU, Blending and Stacking of multiple models.
Thanks again for reading and showing your support friends. 🙂
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Well done Vetrivel..this is very detailed and great guide.
Excellent explanation Vetrivel..and a very good guide
Excellent blog Vetrivel , very detailed and well explained blog for beginners
https://datahack.analyticsvidhya.com/contest/wns-analytics-hackathon-2018-1/#ProblemStatement HR Analytics - Download the dataset by registering and scrolling down to Download the dataset :-)
Thank you for sharing
Very nicely written ..Such a wonderful content :-)
Great effort brother 👌
Very well done Vetri..
WOW...AMAZING VETRI BRO
Excellent blog vetri! Loved your testimonial styles for enforcing a point. Massive knowledge base too this for pros.
WOW...Great Effort...Really, it's helpful.
Very well written, could get back to doing some hands on after long time. Waiting for the next part.
Excellent blog Vetrivel ,very nice explanation and quiet motivating and encouraging for the beginners to participate in Hackathons
Good job Vetri!!
Excellent article. Certainly helpful for data science enthusiasts.
Excellent article. Certainly helpful for data science enthusiasts!!
Very well written. Had a great insight. Helpful for enthusiasts.
Amazing blog! The content is very practical and hands on, for beginners it will definitely help improve their score by following the 10 steps for all problem. Especially loved the detailed explanation door lgb,xgb,catboost. This will help us increase our score in the future Once again thank you for this wonderful post!!
Very Nice Article, Vetri... I learnt some key points from your blog..
Awesome content bro! Loved the hyperparams explanation and the 10 steps guide for approaching problems
Excellent article. thank you for sharing
Such a detailed article on how to approach ML hackathon problem. Well done Vetri.
This is very informative, good work and thanks for sharing.
This blog is really well written and easy for beginners to start their journey into the Online Hackathon Competitions
Loved it
Awesome blog written @Vetrivel. It includes all important aspects to start with a Machine Learning problem.. Very informative !! Great job 👍
Very very informative. Great work
Excellent and impressive and massive approach brother, you really did a great job interesting work
This blog was quite exhaustive but very nice to understand.
Great job
Really Helpful
A great and lengthy blog. Informative and very detailed
Great Work Vetri - Would like you to write a blog on Feature Engineering/Extraction Technique for tabular and unstructured data
nice work
Well done... Very useful information.... Wishing you a great career....
Very nice and well detailed crisp blog bro..!! keep up the great work :)
A superb explanation for beginners , thank you so much looking forward for more projects .
Excellent work !! Keep it up !!
Very informative blog Vetrivel. Thank you for sharing.
Useful content expecting more articles in similar way.
Well done vetri 👍 way to go ✌️
great work as usual and superb explanation. awaiting for more content from you.
You hv done a very nice work. This blog is very informative and inspirational for every data science and machine learning students.
Very informative blog, looking forward to read your future blogs.
Vetri you beauty... 👍. A very detailed approach for tackling any hackathon. Love the way you contribute to the community...
Excellent Explanation..Thanku sir...looking forward for more content from you...
Great content!!
Excellent!
Excellent Bolg Vetri, very useful information for across the cross section of professionals be it beginners or experienced!!
Good Work Vetri. Thank you for sharing.
Good Vetri. Very nice Blog and article post for the knowledge.
Great content!
Another awesome post Vetrivel. Very informative and descriptive. 👍 Keep up the great work.. It's superb..
Excellent work, Sir. Very clear 👏
Excellent work👍
Great work Vetri... Proud of you...Well written.. Keep rocking..
Very well written....Keep it up Sir!
Vetrivel, you have done a great job and given a complete detailed blog. Such a great information about with code too.
Love the way you present this blog with full steps including picture of code. Nicely explained and easily understood. Good Luck.
Great work Vetri
Very informative blog!
Great job
Very nice
Loved it 👌👌
Great work. Appreciate these guiding lights for enthusiasts on their data science journey!!
Great work!!
Excellent article and very useful one. Thank you.
Really useful. Hoping to see more content.
Very informative
Good Excellent job
Really helpful. Thank you very much sir for sharing.
Interesting one! I love it. I would definitely prescribe this one to data science beginners.
Interesting one! I love it. I'll definitely prescribe this one to beginner data science candidates.
Nice explanation, even eplaining the parameters of models which is generally skipped by others. thank you keep it up and keep moving.
A good blog on approaching classification problem. Keep it up Vetrivel. Happy to read this from you.
Thanks for sharing very well written and worth reading this article. Wish to see more in the coming days.