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In the semi-discrete version of Monge's problem one tries to find a transport map $T$ with minimum cost from an absolutely continuous measure $\mu$ on $\mathbb{R}^d$ to a discrete measure $\nu$ that is supported on a finite set in $\mathbb{R}^d$.
On the translocation of masses
Leonid Vitalievich Kantorovich · 1942
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Philip Wolfe · 1969
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Convergence conditions for ascent methods. II: Some corrections
Philip Wolfe · 1971
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