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spatial photonic ising machine spim 13d pierangeli et al largescale photonic ising machine spatial light modulation phys rev lett 122 213902 2019prltao00319007101103physrevlett122213902 promising optical architecture utilizing spatial light modulation solving largescale combinatorial optimization problems efficiently primitive version spim however accommodate ising problems rankone interaction matrices letter propose new computing model spim accommodate ising problem without changing optical implementation proposed model particularly efficient ising problems lowrank interaction matrices knapsack problems moreover acquires learning ability boltzmann machines demonstrate learning classification sampling mnist handwritten digit images achieved efficiently using model lowrank interactions thus proposed model exhibits higher practical applicability various problems combinatorial optimization statistical learning without losing scalability inherent spim architecture