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Version Space Problem 2 | |
Problem 2: Learning the concept of "Japanese Economy Car" (continued)
Features: ( Origin, Manufacturer, Color, Decade, Type )
| Origin | Manufacturer | Color | Decade | Type | Example Type |
| Japan | Honda | Blue | 1980 | Economy | Positive |
| Japan | Toyota | Green | 1970 | Sports | Negative |
| Japan | Toyota | Blue | 1990 | Economy | Positive |
| USA | Chrysler | Red | 1980 | Economy | Negative |
| Japan | Honda | White | 1980 | Economy | Positive |
| Japan | Toyota | Green | 1980 | Economy | Positive |
| Japan | Honda | Red | 1990 | Economy | Negative |
Solution:
1-5. See Version Space Problem 1
6. Positive Example: (Japan, Toyota, Green, 1980, Economy)
| New example is consistent with version-space, so no change is made. | G = { (Japan, ?, ?, ?, Economy) } S = { (Japan, ?, ?, ?, Economy) } |
7. Negative Example: (Japan, Honda, Red, 1990, Economy)
| Example is inconsistent with the version-space. | G cannot be specialized. S cannot be generalized. |
The version space collapses.
Conclusion: No conjunctive hypothesis is consistent with the data set.
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