Sub-Quadratic State-Space Transformers with Provable Long-Horizon Memory Retention

peerrxiv-peerrxiv.2026.00392-1793283692028 1793283692028 PeerRxiv Open Science Foundation doi-deposit@peerrxiv.org PeerRxiv Overlay Repository (ISSN 0000-0000) PeerRxiv: Editor-Less Open Peer-Validated Science PeerRxiv 0000-0000 Sub-Quadratic State-Space Transformers with Provable Long-Horizon Memory Retention Sophia Lin Stanford University https://orcid.org/0000-0002-3310-8821 Omar Khalil University of Toronto https://orcid.org/0000-0003-9012-4411 10 12 2026 10.5555/peerrxiv.2026.00392.v2 https://peerrxiv.org/manuscripts/peerrxiv.2026.00392 Dr. Sebastien Moreau ORIGINAL INRIA Paris https://orcid.org/0000-0002-1190-3321 Open Peer Review (ENDORSED) on Sub-Quadratic State-Space Transformers with Provable Long-Horizon Memory Retention (v2) 10 11 2026 Zero COI Verified via OpenAlex (Original Round-1 Reviewer Re-Verification) rev-101 10.5555/peerrxiv.2026.00392.v2 10.5555/peerrxiv.2026.00392.r1 https://peerrxiv.org/manuscripts/peerrxiv.2026.00392#rev-101 Prof. Ananya Patel ORIGINAL Carnegie Mellon University (CMU) https://orcid.org/0000-0003-8821-5543 Open Peer Review (ENDORSED) on Sub-Quadratic State-Space Transformers with Provable Long-Horizon Memory Retention (v2) 10 11 2026 Zero COI Verified via OpenAlex (Original Round-1 Reviewer Re-Verification) rev-102 10.5555/peerrxiv.2026.00392.v2 10.5555/peerrxiv.2026.00392.r2 https://peerrxiv.org/manuscripts/peerrxiv.2026.00392#rev-102 Dr. Henrik Lindqvist FRESH KTH Royal Institute of Technology https://orcid.org/0000-0001-4490-1287 Open Peer Review (ENDORSED) on Sub-Quadratic State-Space Transformers with Provable Long-Horizon Memory Retention (v2) 10 12 2026 Zero COI Verified via OpenAlex (Fresh Round-2 Independent Verifier) rev-103 10.5555/peerrxiv.2026.00392.v2 10.5555/peerrxiv.2026.00392.r3 https://peerrxiv.org/manuscripts/peerrxiv.2026.00392#rev-103