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Paper · arXiv

Learning Compositional Latent Structure with Vector Networks

Deep networks are powerful function approximators, but they typically store many different computations in shared weight matrices, making it difficult to selectively reuse or adapt parts of them when a familiar structure appears in novel combinations. We introduce the Vector Network (VN), a hierarchical recurrent architecture in which each layer replaces a fixed weight matrix with a library of reusable rank-1 weight atoms. For each input, VN minimizes a layer-local energy to infer a sparse set of active weight atoms and their coefficients, jointly constrained by bottom-up input reconstruction and top-down feedback consistency. These weight atom coefficients then compose an input-specific ...

AuthorsNiclas Pokel, Benjamin F. Grewe
Primary categorycs.LG
Published27 May 2026
Last updated at source27 May 2026
cs.LGcs.AI
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