Machine learning models are parameterized so that their behavior can be tuned for a given problem.

Models can have many parameters and finding the best combination of parameters can be treated as a search problem.

In this post, you will discover how to tune the parameters of machine learning algorithms in Python using the scikit-learn library.

**Update Jan/2017**: Updated to reflect changes to the scikit-learn API in version 0.18.

## Machine Learning Algorithm Parameters

Algorithm tuning is a final step in the process of applied machine learning before presenting results.

It is sometimes called Hyperparameter optimization where the algorithm parameters are referred to as hyperparameters whereas the coefficients found by the machine learning algorithm itself are referred to as parameters. Optimization suggests the search-nature of the problem.

Phrased as a search problem, you can use different search strategies to find a good and robust parameter or set of parameters for an algorithm on a given problem.

Two simple and easy search strategies are grid search and random search. Scikit-learn provides these two methods for algorithm parameter tuning and examples of each are provided below.

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## Grid Search Parameter Tuning

Grid search is an approach to parameter tuning that will methodically build and evaluate a model for each combination of algorithm parameters specified in a grid.

The recipe below evaluates different alpha values for the Ridge Regression algorithm on the standard diabetes dataset. This is a one-dimensional grid search.

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# Grid Search for Algorithm Tuning import numpy as np from sklearn import datasets from sklearn.linear_model import Ridge from sklearn.model_selection import GridSearchCV # load the diabetes datasets dataset = datasets.load_diabetes() # prepare a range of alpha values to test alphas = np.array([1,0.1,0.01,0.001,0.0001,0]) # create and fit a ridge regression model, testing each alpha model = Ridge() grid = GridSearchCV(estimator=model, param_grid=dict(alpha=alphas)) grid.fit(dataset.data, dataset.target) print(grid) # summarize the results of the grid search print(grid.best_score_) print(grid.best_estimator_.alpha) |

For more information see the API for GridSearchCV and Exhaustive Grid Search section in the user guide.

## Random Search Parameter Tuning

Random search is an approach to parameter tuning that will sample algorithm parameters from a random distribution (i.e. uniform) for a fixed number of iterations. A model is constructed and evaluated for each combination of parameters chosen.

The recipe below evaluates different alpha random values between 0 and 1 for the Ridge Regression algorithm on the standard diabetes dataset.

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# Randomized Search for Algorithm Tuning import numpy as np from scipy.stats import uniform as sp_rand from sklearn import datasets from sklearn.linear_model import Ridge from sklearn.model_selection import RandomizedSearchCV # load the diabetes datasets dataset = datasets.load_diabetes() # prepare a uniform distribution to sample for the alpha parameter param_grid = {'alpha': sp_rand()} # create and fit a ridge regression model, testing random alpha values model = Ridge() rsearch = RandomizedSearchCV(estimator=model, param_distributions=param_grid, n_iter=100) rsearch.fit(dataset.data, dataset.target) print(rsearch) # summarize the results of the random parameter search print(rsearch.best_score_) print(rsearch.best_estimator_.alpha) |

For more information see the API for RandomizedSearchCV and the the Randomized Parameter Optimization section in the user guide.

## Summary

Algorithm parameter tuning is an important step for improving algorithm performance right before presenting results or preparing a system for production.

In this post, you discovered algorithm parameter tuning and two methods that you can use right now in Python and the scikit-learn library to improve your algorithm results. Specifically grid search and random search.

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Nice summary. I think that due to dependency of few parameters on each other you cannot choose any combination of them in GridSearch, else it would error out. I’ve written a post exclusively on GridSearch http://harshtechtalk.com/model-hyperparameter-tuning-scikit-learn-using-gridsearch/

Sir, this is an excellent introduction to hyperparameter optimization.

I’m now thinking, there must be a process for determining an optimal range of parameter values for a particular parameter. For example, when demonstrating GridSearchCV, you used alphas = np.array([1, 0.1, 0.01, 0.001, 0.0001, 0]). What principles guide you into selecting those particular values? And where can I read more about those principles — do they have their roots in statistics, probability theory, or something else?

One more thing, I’m still a machine learning novice and the parameters used to tune Scikit-learn algorithms hardly make sense to me. For example, the Ridge model has parameters “alpha”, “fit_intercept”, “normalize”, “copy_X”, “max_iter”, “tol”, “solver”, and “random_state”. Those parameters don’t make sense to me because I understand I lack the background necessary to make sense of them. What is this background that I am missing?

By the way, I’m subscribed to your newsletter with the same email I’ve used to post this comment. I like your mail, very insightful. I’ll appreciate it if you can also send a copy of your response to my mailbox.

Hi Alex, I just chose popular values for alpha as a starting point for the search. A good practice.

You could use random search on a suite of similar problems and try to deduce cause-effect for the parameter settings or heuristics, but you will always find a problem that breaks the rules. It is always good to use a mix of random and grid searching to expose “good” regions of the hyperparameter search space.

Often only a few parameters make a big difference when tuning an algorithm. You can research a given algorithm and figure out what each parameter does and normal ranges for values. A difficulty is that different implementations may expose different parameters and may require careful reading of the implementations documentation as well. Basically, lots of hard work is required.

I hope this helps.

What exactly do you mean by ‘a mix of random and grid search’? Can you please elaborate? Thanks.

Great question Chris.

You can use random search to find good starting points, then grid search to zoom in and find the local optima (or close to it) for those good starting points. Using the two approaches interchangeably like a manual optimization algorithm. If you have a lot of resources, you could just use a genetic algorithm or similar.

Hey Jason,

Can you suggest any relevant material on the implementation of accelerated random search?Thanks.

No, sorry. Using lots of cores with random search has always worked well for me.

When does the tuning have to be done, before or after feature selection (i mean: Forward feature selection, Recursive feature elimination , etc)?

Hi Aizzaac,

I recommend tuning a model after you have spot checked a number of methods. I think it is an activity to improve what is working and get the most out of it, not to find what might work.

This step-by-step process for working through a might make things clearer:

http://machinelearningmastery.com/start-here/#process

Thanks Jason.

Lets say we optimized our parameters by grid search or random search and get the accuracy of 0.98 so how do we realize if it did over fit or not?

I mean i remember in Poly Kernel I used grid search and got very high accuracy but then I realized it might be over fit.

Really great question Ehsan.

You must develop a robust test harness. Try really hard to falsify any results you get.

For example:

– use k-fold cross validation

– use multiple repeats of your cross validation

– look at the graph of performance of an algorithm while it learns over each epoch/iteration and check for test accuracy>train accuracy

– hold back a validation dataset for final confirmation

– and so on.

I hope that gives you some ideas.

Hi, Thank you for these explanations.

However, when I used the Grid Search Parameter Tuning with my model, it always returned to me the first value of the param_grid dictionary. For example, if I write

param_grid = {

‘solver’: [‘lbfgs’,’sgd’,’adam’],

‘alpha’: [0.0001,0.00001,0.1,1],

‘activation’:[‘relu’,’tanh’],

‘hidden_layer_sizes’: [(20)],

‘learning_rate_init’: [1,0.01,0.1,0.001],

‘learning_rate’:[‘invscaling’,’constant’],

‘beta_1’:[0.9],

‘max_iter’:[1000],

‘momentum’: [0.2,0.6,1],

}

It will return as best_params

{‘max_iter’: 1000, ‘activation’: ‘relu’, ‘hidden_layer_sizes’: 20, ‘learning_rate’: ‘invscaling’, ‘alpha’: 0.0001, ‘learning_rate_init’: 1, ‘beta_1’: 0.9, ‘solver’: ‘sgd’, ‘momentum’: 0.2}

but if I just change the order of Learning ate init for example ‘learning_rate_init’: [0.001,0.01,0.1,1], it will return:

{‘max_iter’: 1000, ‘activation’: ‘relu’, ‘hidden_layer_sizes’: 20, ‘learning_rate’: ‘invscaling’, ‘alpha’: 0.0001, ‘learning_rate_init’: 0.001, ‘beta_1’: 0.9, ‘solver’: ‘sgd’, ‘momentum’: 0.2}

Have you already had this issue?

I don’t know if I was clear,

Thanks,

That is very odd, I have not seen this issue