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  • title: Convex Geometry of ReLU-layers, Injectivity on the Ball and Local Reconstruction
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            Convex Geometry of ReLU-layers, Injectivity on the Ball and Local Reconstruction
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            Convex Geometry of ReLU-layers, Injectivity on the Ball and Local Reconstruction

            Jul 24, 2023

            Speakers

            DH

            Daniel Haider

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            ME

            Martin Ehler

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            PB

            Peter Balazs

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            About

            The paper uses a frame-theoretic setting to study the injectivity of a ReLU-layer on the closed ball of ℝ^n and its non-negative part.In particular, the interplay between the radius of the ball and the bias vector is emphasized, which, together with a perspective from convex geometry leads to a computationally feasible method of verifying the injectivity of a ReLU-layer under reasonable restrictions in terms of an upper bound of the bias vector. Explicit reconstruction formulas are provided, ins…

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            ICML 2023

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