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Integer programming regards optimization problems, where one seeks to find integer values for a set of unknowns, that optimizes the objective function. A common subset of this type of problems are integer linear programming problems, where all inequalities, equalities and the objective function are linear in the unknowns.
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MIQP formulation in L0 norm optimization
Consider the L0 norm compressed sensing problem:
$$\eqalign{
& \min \quad {x^T}Qx + {c^T}x + {\mu\left\| x \right\|_0} \cr
& s.t:\quad Ax \le b \cr} $$
Suppose I do want to solve this problem …
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Choice of MIP (mixed integer programming) solver
I would start using MIP solver for the research on the tiling.
I know (heard of) the open source solver jump:
https://github.com/JuliaOpt/JuMP.jl
and also the gold standard solver from IBM cplex.
…
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Mixed integer programming formulation for Ising model
Actually, one way I realize is to use this kind of constraints:
$${s_i} + {s_j} - 1 \le {s_i}*{s_j} \le {s_i}$$
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2
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Mixed integer programming formulation for Ising model [closed]
I want to implement a minimisation on a 2D spin Ising model with 30x30 grid. The spin variables is 0,1 and the objective is to minimize the sum of products of spins. For simplicity, I only include NN …
2
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2
answers
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Combinatorial optimization problem involving infinite spin system
In material science research, I am developing an algorithm to solve an infinite combinatorial optimization problem which I believe is the most natural problem when the system size goes to infinity.
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