Timeline for What is the difference betwen a time non-homogenous Markov Chain and a non-linear Markov Chain? Example

10 events

when toggle format	what		by	license	comment
Dec 13, 2018 at 11:09	history	edited	Xiaoxiong Lin	CC BY-SA 4.0	deleted 12 characters in body
Dec 13, 2018 at 9:54	history	edited	Xiaoxiong Lin	CC BY-SA 4.0	added 1 character in body
Dec 13, 2018 at 9:53	comment	added	Xiaoxiong Lin		function f() is a projection from vector S to another vector S. so a linear transform of the old state S to a new state S. Linear transform means taking the weighted sum of the S_{i-1} for each entry of the S_i, which can be written in a matrix form Q * S, where each row of Q is one set of weights. You can think that every state (e.g. X=i) has a probability to turn in to another sate (X=j), to describe the every possible transfer, you need a n-by-n matrix.
Dec 11, 2018 at 17:54	comment	added	ColorStatistics		I still don't fully understand the linearity bit. You say "linearity means the function f() can be expressed as a linear transform..". Can you expand on what a linear transform is? And a linear transform of what?
Dec 10, 2018 at 22:20	history	bounty ended	ColorStatistics
Dec 10, 2018 at 22:18	vote	accept	ColorStatistics
Dec 10, 2018 at 12:47	history	undeleted	Xiaoxiong Lin
Dec 10, 2018 at 12:47	history	edited	Xiaoxiong Lin	CC BY-SA 4.0	added 29 characters in body
Dec 10, 2018 at 12:33	history	deleted	Xiaoxiong Lin		via Vote
Dec 10, 2018 at 12:31	history	answered	Xiaoxiong Lin	CC BY-SA 4.0