Comparing sensitivity to temperature changes of BJT (transistor) circuits in Common Emitter Configuration
If I understood your question without schematics, I guess the answer is:

With the resistor connected to the emmiter, when IB rises, IE rises due to the amplification. If IE rises, the voltage drop over RE rises too. Since VBE=VB-VE, VBE will lower and IB too. It works like a negative feedback.

Best regards