Christoph Hertrich
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2026
Shallower ReLU Network Representations via Exact Linear Algebra
This paper proves that the maximum of up to 10 real numbers can be exactly represented by a ReLU network with two hidden layers, and shows that the same depth bound holds for all continuous piecewise-linear functions on R^d.
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cs.LGcs.NEmath.COTheoreticalRecentJul 22, 2026
Shallower ReLU Network Representations via Exact Linear Algebra
Kilian Rueß, Gennadiy Averkov, Florestan Brunck, Moritz Grillo +6 more
This paper proves that the maximum of up to 10 real numbers can be exactly represented by a ReLU network with two hidden layers, and shows that the same depth bound holds for all continuous piecewise-…
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