In this paper, we propose a unified non-quadratic loss function for regression known as soft insensitive loss function (SILF). SILF is a flexible model and possesses most of the desirable characteristics of popular non-quadratic loss functions, such as Laplacian, Huber's and Vapnik's -insensitive loss function. We describe the properties of SILF and illustrate our assumption on the underlying noise model in 							
						
							
					 															
					Wei Chu, S. Sathiya Keerthi, Chong Jin Ong