Adaptive Bregman Proximal Stochastic Gradient with a Stabilized Barzilai--Borwein Step Size
Ada-BPSG is introduced, a line-search-free BPSG method that couples the SAGA gradient table with a stabilized Barzilai--Borwein (BB) candidate and yields a direct analytical chain from relative smoothness and component-wise variance control to convergence in finite-dimensional normed spaces.