I am using the LDO LP3856ES-3.3V for application with remote sensing where the regulator and load are 1 meter away and connected with 1 meter cable with R ~ 0.5 ohms and current ~ 2A. I follow design on page 15 on the app http://www.ti.com/lit/ds/symlink/lp3853.pdf
1) With remote sensing, the output is oscillated with 200 mV p-p @ 50 KHz as shown in attach picture, no filtering at sense pin can get rid of this oscillation
2) With local sensing (output connect directly to sense pin) no oscillation and everything working fine