Papers › A Neuro-vector-symbolic Architecture for Solving Raven's Progressive Matrices

A Neuro-vector-symbolic Architecture for Solving Raven's Progressive Matrices

9 Mar 2022arXiv:2203.04571archive 2025-07-28

Michael Hersche, Mustafa Zeqiri, Luca Benini, Abu Sebastian, Abbas Rahimi

Neither deep neural networks nor symbolic AI alone has approached the kind of intelligence expressed in humans. This is mainly because neural networks are not able to decompose joint representations to obtain distinct objects (the so-called binding problem), while symbolic AI suffers from exhaustive rule searches, among other problems. These two problems are still pronounced in neuro-symbolic AI which aims to combine the best of the two paradigms. Here, we show that the two problems can be addressed with our proposed neuro-vector-symbolic architecture (NVSA) by exploiting its powerful operators on high-dimensional distributed representations that serve as a common language between neural networks and symbolic AI. The efficacy of NVSA is demonstrated by solving the Raven's progressive matrices datasets. Compared to state-of-the-art deep neural network and neuro-symbolic approaches, end-to-end training of NVSA achieves a new record of 87.7% average accuracy in RAVEN, and 88.1% in I-RAVEN datasets. Moreover, compared to the symbolic reasoning within the neuro-symbolic approaches, the probabilistic reasoning of NVSA with less expensive operations on the distributed representations is two orders of magnitude faster. Our code is available at https://github.com/IBM/neuro-vector-symbolic-architectures.

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conv1x1 ibm/neuro-vector-symbolic-architectures/nvsa/perception/resnet.py official repository ran · our draft was wrong Apache-2.0 (permissive) · d9def42110729a85 · report
conv3x3 ibm/neuro-vector-symbolic-architectures/nvsa/perception/resnet.py official repository ran · our draft was wrong Apache-2.0 (permissive) · 160bb14bd76201b4 · report
block_binding2 ibm/neuro-vector-symbolic-architectures/nvsa/reasoning/vsa_block_utils.py official repository unverified Apache-2.0 (permissive) · 17152312a525b4db · report
cosine2pmf ibm/neuro-vector-symbolic-architectures/nvsa/reasoning/vsa_block_utils.py official repository unverified Apache-2.0 (permissive) · f34c969e9ba18592 · report
cyclic_shift ibm/neuro-vector-symbolic-architectures/nvsa/reasoning/vsa_block_utils.py official repository unverified Apache-2.0 (permissive) · a16deb2845a45608 · report
generate_IM ibm/neuro-vector-symbolic-architectures/nvsa/perception/metrics.py official repository unverified Apache-2.0 (permissive) · edc0858c7d6e1d63 · report
get_marginalization_readout ibm/neuro-vector-symbolic-architectures/nvsa/perception/metrics.py official repository unverified Apache-2.0 (permissive) · 339da69b4f4ef03f · report
log ibm/neuro-vector-symbolic-architectures/nvsa/perception/metrics.py official repository unverified Apache-2.0 (permissive) · 3d9224c206c4cd8e · report
resnet18 ibm/neuro-vector-symbolic-architectures/nvsa/perception/resnet.py official repository unverified Apache-2.0 (permissive) · 106a452f641968ae · report

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