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General Form of an

Objective Function

Inverse Optimisation and Planning

(2000 – today)

Transition Function

ϴ

:

( )

[

]

linear

- non

by tanh 10.5 (y)

linear

0y ,1

0y ,0

(y)

)(

2

1

⇒ + = Θ



<

= Θ

Θ

y

Linear:

Solution utilizing Linear Programming (exact solver)

or stochastic/probabilistic numerical solvers

Non-Linear: deterministic numerical solvers

( )

(

)

( )

[

]

[

]

1

1

=

− Θ =

i

N

j

p

i

j

i

L

i

j

i

L

i

i

d D d D

N

f

x

x