I am trying to create linear regression model using graphlab. I have 200 samples and 1 predictor. But I encountered "numerical overflow error", Here is the output:
model_all = graphlab.linear_regression.create(data2.tail(200), target='output', features=['input'],validation_set=None,l2_penalty=0.0002,solver = 'auto')
Linear regression:
--------------------------------------------------------
Number of examples : 200
Number of features : 1
Number of unpacked features : 1
Number of coefficients : 2
Starting Newton Method
--------------------------------------------------------
+-----------+----------+--------------+--------------------+---------------+
| Iteration | Passes | Elapsed Time | Training-max_error | Training-rmse |
+-----------+----------+--------------+--------------------+---------------+
+-----------+----------+--------------+--------------------+---------------+
TERMINATED: Terminated due to numerical overflow error.
This model may not be ideal. To improve it, consider doing one of the following:
(a) Increasing the regularization.
(b) Standardizing the input data.
(c) Removing highly correlated features.
(d) Removing `inf` and `NaN` values in the training data
hint (b), (c) and (d) does not apply to my case because there is only 1 feature and there is no inf or NaN values. I have tried various l2_penalty but all no use. If I limite the number of samples to a smaller number such as 180, it will work.
model_all = graphlab.linear_regression.create(data2.tail(180), target='output', features=['input'],validation_set=None,l2_penalty=0.0002,solver = 'auto')
model_all.get("coefficients").print_rows(num_rows=100)
Linear regression:
--------------------------------------------------------
Number of examples : 180
Number of features : 1
Number of unpacked features : 1
Number of coefficients : 2
Starting Newton Method
--------------------------------------------------------
+-----------+----------+--------------+--------------------+---------------+
| Iteration | Passes | Elapsed Time | Training-max_error | Training-rmse |
+-----------+----------+--------------+--------------------+---------------+
| 1 | 2 | 0.000866 | 9.873043 | 4.272624 |
+-----------+----------+--------------+--------------------+---------------+
SUCCESS: Optimal solution found.
+----------------+-------+------------------+-------------------+
| name | index | value | stderr |
+----------------+-------+------------------+-------------------+
| (intercept) | None | 9.3412783539 | 3.80166353756 |
| DOEDDIST.Index | None | 0.00226165438702 | 0.000975084975224 |
+----------------+-------+------------------+-------------------+
[2 rows x 4 columns]
I don't understand what causes the numerical overflow error. Can someone help to explain?
Thank you.