| Y | I×J | Overall rating matrix |
| G | I×J | Aspect-2 rating matrix |
| H | I×J | Aspect-1 rating matrix |
| yij | 1 | Overall rating of user i for item j |
| gij | 1 | Aspect-1 rating of user i for item j |
| hij | 1 | aspect-2 rating of user i for item j |
| U | K×1 | User latent matrix |
| E | K×J | Item aspect-1 latent matrix |
| C | K×J | Item aspect-2 latent matrix |
| ui | K×1 | Latent features of user i |
| ej | K×1 | Aspect-1 latent features of item j |
| cj | K×1 | Aspect-2 latent features of item j |
| uki | 1 | k-th latent feature of user i |
| ekj | 1 | k-th latent feature of aspect-1 of item j |
| ckj | 1 | k-th latent feature of aspect-2 of item j |