  In the realm of subject-driven text-to-image (T2I) generative models, recent
developments like DreamBooth and BLIP-Diffusion have led to impressive results
yet encounter limitations due to their intensive fine-tuning demands and
substantial parameter requirements. While the low-rank adaptation (LoRA) module
within DreamBooth offers a reduction in trainable parameters, it introduces a
pronounced sensitivity to hyperparameters, leading to a compromise between
parameter efficiency and the quality of T2I personalized image synthesis.
Addressing these constraints, we introduce \textbf{\textit{DiffuseKronA}}, a
novel Kronecker product-based adaptation module that not only significantly
reduces the parameter count by 35\% and 99.947\% compared to LoRA-DreamBooth
and the original DreamBooth, respectively, but also enhances the quality of
image synthesis. Crucially, \textit{DiffuseKronA} mitigates the issue of
hyperparameter sensitivity, delivering consistent high-quality generations
across a wide range of hyperparameters, thereby diminishing the necessity for
extensive fine-tuning. Furthermore, a more controllable decomposition makes
\textit{DiffuseKronA} more interpretable and even can achieve up to a 50\%
reduction with results comparable to LoRA-Dreambooth. Evaluated against diverse
and complex input images and text prompts, \textit{DiffuseKronA} consistently
outperforms existing models, producing diverse images of higher quality with
improved fidelity and a more accurate color distribution of objects, all the
while upholding exceptional parameter efficiency, thus presenting a substantial
advancement in the field of T2I generative modeling. Our project page,
consisting of links to the code, and pre-trained checkpoints, is available at
https://diffusekrona.github.io/.
