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Inductive bias


1. Inductive bias
Note: These notes were brought together from various notes over the years. There is some repetition and missing parts, to be adjusted.
The inductive bias, or learning bias, of a (machine) learning algorithm is the bias in the form of assumptions prior-knowledge.

This bias can effect the predicted outcome of the algorithm.

In general, what is a bias?

2. Bias: origin
A bias is a leaning towards a certain viewpoint being right.


The term bias comes from the Greek philosopher Bias of Priene, one of the seven sages (c. 566 BC)


Here are some of his quotations.

3. Bias
Can anyone be truly unbiased?

Any person who claims to be unbiased is biased towards being unbiased, and is therefore not telling the truth.

The appropriate question is, "What is the best bias with which to be biased.".

4. Tolerance: defined
Can anyone really be tolerant of all viewpoints?


If anyone claims to be tolerant of all viewpoints, then are there viewpoints that will not be tolerated? Anyone who claims to be tolerant of all viewpoints is actually intolerant of any viewpoint that disagrees with their viewpoint. Therefore, anyone who claims to be tolerant of all viewpoints is actually intolerant and not telling the truth. The appropriate question is, "What are the things of which to be tolerant and what are the things of which to be intolerant.".

5. Viewpoints

6. Viewpoints
How you view something can depend on many factors.

7. Wire frame
What do you see in this wire frame?

Necker Cube
Are you looking from above the box, or from below the box.

8. Interpretation
The same data (i.e., the image) can be interpreted as the following. Which is it? It depends on how you view the data, or, perhaps, on what you want to see.

9. Adding context
By filling in some context, can you see the two views here more clearly?

Necker Cube
On the left is viewing from above. On the right is viewing from below.

10. Correctness
Is one view better, or more correct, than the other view?

If so, then are you showing a bias?

Everyone is biased, so the question comes down to "what is the best bias with which to be biased"?

Note that sometimes, filling in additional context, such as above, can help resolve ambiguities.

11. Bias
A bias is a belief that one particular viewpoint is right and that the opposing viewpoint is wrong.

Are you biased?

12. Bias and tolerance
Everyone is biased, but some people do not admit or recognize it.

Have you ever been asked the question "You have to be tolerant of other viewpoints."?

What if you reply, "My viewpoint is that your viewpoint is wrong. Will you tolerate my viewpoint?".

Of course, this viewpoint will not be tolerated by the person asking you to be tolerant. Logically, insisting that someone to be tolerant shows that the person asking is very biased and intolerant.

So, the question is not whether a viewpoint is biased, but whether that bias is the best bias with which to be biased. And that bias is, to a large extent, dependent on the "world view" used.

13. Self-reference
The bias and tolerance issue is related to any of the following (paradox) sentences. In each case, a logical contradiction arises.

Thus, most arguments about tolerance are not logical (or have no logical solution, as in the above paradoxes).

14. Observation
One conclusion. Anyone who insists that you be tolerant of their view but will not tolerate your view and who claims to be unbiased is not reasoning logically. So, trying to reason logically with someone who is not using logic may not be very productive.

15. Occam's razor
Occam's razor is a principle that the simplest explanation is often the best explanation.

16. Training and test data
To avoid an inductive bias, data is often (randomly) divided into training data (where the result is known) and test data (where the result is to be predicted without bias).

17. Over-fitting
Over-fitting the data is an inductive bias where the answers have, essentially, been memorized. Any data different than what is "memorized" will not be recognized or predicted well.

18. Students
Students over-fit when they memorize answers but cannot solve problems if anything changes.

19. Musicians
Musicians who "memorize" a piece of music may sound great playing that one piece of music.

But give them any other piece of music and it becomes apparent that they are what is sometimes called a "one trick pony".

20. End of page

21. Multiple choice questions for this page