From: On optimal Bayesian classification and risk estimation under multiple classes
 | D | M | ν 0,…,ν M−1 | m 0,…,m M−1 | κ y (k y ) | \(\frac {\mathbf {S}_{y}}{k_{y} - 2}\) | Prior (cov.) | λ |
---|---|---|---|---|---|---|---|---|
Model 1 | 2 | 2 | 12, 2 | \(\left [\begin {array}{l} 0 \\ 0 \end {array}\right ], \left [\begin {array}{l} 0.5 \\ 0.5 \end {array}\right ]\) | 6 (5) | 0.3 I 2 | Indep. arbit. | \(\left [\begin {array}{ll} 0 & 2 \\ 1 & 0 \end {array}\right ]\) |
Model 2 | 2 | 2 | 12, 2 | \(\left [\begin {array}{l} 0 \\ 0 \end {array}\right ], \left [\begin {array}{l} 0.5 \\ 0.5 \end {array}\right ]\) | 6 (5) | 0.3 I 2 | Homo. arbit. | \(\left [\begin {array}{ll} 0 & 2 \\ 1 & 0 \end {array}\right ]\) |
Model 3 | 2 | 5 | 12, 2, 2, 2, 2 | \(\left [\begin {array}{l} 0 \\ 0 \end {array}\right ], \left [\begin {array}{l} 1 \\ 1 \end {array}\right ], \left [\begin {array}{l} -1 \\ -1 \end {array}\right ], \left [\begin {array}{l} 1 \\ -1 \end {array}\right ], \left [\begin {array}{l} -1 \\ 1 \end {array}\right ]\) | 6 (5) | 0.3 I 2 | Indep. arbit. | 0–1 loss |
Model 4 | 2 | 5 | 12, 2, 2, 2, 2 | \(\left [\begin {array}{l} 0 \\ 0 \end {array}\right ], \left [\begin {array}{l} 1 \\ 1 \end {array}\right ], \left [\begin {array}{l} -1 \\ -1 \end {array}\right ], \left [\begin {array}{l} 1 \\ -1 \end {array}\right ], \left [\begin {array}{l} -1 \\ 1 \end {array}\right ]\) | 6 (5) | 0.3 I 2 | Homo. arbit. | 0–1 loss |
Model 5 | 20 | 2 | 12, 2 | 020,(0.05)20 | −20.65 (5) | 0.3 I 2 | Indep. iden. | \(\left [\begin {array}{ll} 0 & 2 \\ 1 & 0 \end {array}\right ]\) |
Model 6 | 20 | 2 | 20, 20 | 020,020 | −20.65 (5) | 0.3 I 20 | Indep. iden. | \(\left [\begin {array}{ll} 0 & 2 \\ 1 & 0 \end {array}\right ]\) |
Model 7 | 20 | 5 | 12, 2, 2, 2, 2 | 020,(0.1)20,(−0.1)20, | −20.65 (5) | 0.3 I 20 | Indep. iden. | 0–1 loss |
 |  |  |  | \(\left [\begin {array}{l} {(0.1)}_{10} \\ {(-0.1)}_{10} \end {array}\right ], \left [\begin {array}{l} {(-0.1)}_{10} \\ {(0.1)}_{10} \end {array}\right ]\) |  |  |  |  |
Model 8 | 20 | 5 | 20, 20, 20, 20, 20 | 020,020,020,020,020 | −20.65 (5) | 0.3 I 20 | Indep. iden. | 0–1 loss |