Schematic overview of the BRIDGE pipeline. The framework combines a scalable, differentiable structure-formation model with a flexible field-level bias prescription, all implemented in a GPU-accelerated JAX environment. This enables efficient Bayesian inference of the primordial density field from tracer observations, with support for complex, non-local-bias models and multi-resolution analysis. The modular design allows for the seamless integration of physical models while maintaining end-to-end differentiability and high computational performance.