7、Inductive Structure Consistent Hashing: A Comprehensive Guide

Inductive Structure Consistent Hashing: A Comprehensive Guide

1. Inductive Structure Consistent Hashing (ISCH)

1.1 Overall Loss Function

The overall loss function of ISCH is formed by Eqs. (3.2), (3.3), and (3.5):
[
\min_{D,Q,\hat{Z},V,B,\theta} |X - DV| F^2 + \beta |B - QV|_F^2 + \gamma |X - \hat{Z}B|_F^2 + |V - f {ce}(L; \theta)|_F^2
]
subject to the constraints:
- (B \in {-1, 1}^{r\times n}), (B^T 1 = 0)
- (|d_i|_2^2 \leq 1)
- (Q^T Q = I_r)
- (\hat{Z}^T \hat{Z} = I_r)

Here, (\beta) and (\gamma) are weighting parameters used to balance the importance of different terms. The objective of this function is to minimize the transferring error from visual to semantic features while preserving t