diff --git a/README.md b/README.md index 62cdac8..5b8fafb 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@
- [Arxiv]•[📖 Documentation & Examples] + [Arxiv]•[📖 Documentation & Examples]
## About @@ -22,7 +22,7 @@ The ConFIG method obtains the conflict-free direction by calculating the inverse of the loss-specific gradients matrix: $$ -\boldsymbol{g}_{ConFIG}=\left(\sum_{i=1}^m \boldsymbol{g}_i^\top\boldsymbol{g}_u\right)\boldsymbol{g}_u, +\boldsymbol{g}_{ConFIG}=\left(\sum_{i=1}^{m} \boldsymbol{g}_{i}^\top\boldsymbol{g}_{u}\right)\boldsymbol{g}_u, $$ $$ @@ -30,7 +30,7 @@ $$ [\mathcal{U}(\boldsymbol{g}_1),\mathcal{U}(\boldsymbol{g}_2),\cdots, \mathcal{U}(\boldsymbol{g}_m)]^{-\top} \mathbf{1}_m\right]. $$ -Then the dot product between $\boldsymbol{g}_{ConFIG}$ and each loss-specific gradient is always positive and equal, i.e., $\boldsymbol{g}_i^\top\boldsymbol{g}_{ConFIG}=\boldsymbol{g}_i^\top\boldsymbol{g}_{ConFIG} \quad \forall i,j \in [1,m]$. +Then the dot product between $\boldsymbol{g}_{ConFIG}$ and each loss-specific gradient is always positive and equal, i.e., $\boldsymbol{g}_{i}^{\top}\boldsymbol{g}_{ConFIG}=\boldsymbol{g}_{i}^{\top}\boldsymbol{g}_{ConFIG} \quad \forall i,j \in [1,m]$. * **Is the ConFIG Computationally expensive?** @@ -39,7 +39,7 @@ Then the dot product between $\boldsymbol{g}_{ConFIG}$ and each loss-specific gr ## Paper Info