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Candidate Elimination Algorithm
If d is a negative example
Remove from S any hypothesis that is inconsistent with d
For each hypothesis g in G that is not consistent with d
remove g from G.
Add to G all minimal specializations h of g such that
h consistent with d
Some member of S is more specific than h
Remove from G any hypothesis less general than another in G
Candidate Elimination: example
{<, , , , ,  >}S:
{<?, ?, ?, ?, ?, ?>}G:
{< Sunny Warm Normal Strong Warm Same >}S:
{<?, ?, ?, ?, ?, ?>}G:
{< Sunny Warm ? Strong Warm Same >}S:
{<?, ?, ?, ?, ?, ?>}G:
x1 = <Sunny Warm Normal Strong Warm Same> +
x2 = <Sunny Warm High Strong Warm Same> +
Candidate Elimination: example
{< Sunny Warm ? Strong Warm Same >}S:
{<?, ?, ?, ?, ?, ?>}G:
{< Sunny Warm ? Strong Warm Same >}S:
{<Sunny,?,?,?,?,?>, <?,Warm,?,?,?>, <?,?,?,?,?,Same>}G:
{< Sunny Warm ? Strong ? ? >}S:
{<Sunny,?,?,?,?,?>, <?,Warm,?,?,?> }G:
x3 = <Rainy Cold High Strong Warm Change> -
x4 = <Sunny Warm High Strong Cool Change> +

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Candidate elimination example

  • 1. Candidate Elimination Algorithm If d is a negative example Remove from S any hypothesis that is inconsistent with d For each hypothesis g in G that is not consistent with d remove g from G. Add to G all minimal specializations h of g such that h consistent with d Some member of S is more specific than h Remove from G any hypothesis less general than another in G
  • 2. Candidate Elimination: example {<, , , , ,  >}S: {<?, ?, ?, ?, ?, ?>}G: {< Sunny Warm Normal Strong Warm Same >}S: {<?, ?, ?, ?, ?, ?>}G: {< Sunny Warm ? Strong Warm Same >}S: {<?, ?, ?, ?, ?, ?>}G: x1 = <Sunny Warm Normal Strong Warm Same> + x2 = <Sunny Warm High Strong Warm Same> +
  • 3. Candidate Elimination: example {< Sunny Warm ? Strong Warm Same >}S: {<?, ?, ?, ?, ?, ?>}G: {< Sunny Warm ? Strong Warm Same >}S: {<Sunny,?,?,?,?,?>, <?,Warm,?,?,?>, <?,?,?,?,?,Same>}G: {< Sunny Warm ? Strong ? ? >}S: {<Sunny,?,?,?,?,?>, <?,Warm,?,?,?> }G: x3 = <Rainy Cold High Strong Warm Change> - x4 = <Sunny Warm High Strong Cool Change> +