GRT-Mamba-b0.7.0-20m (MatterWaveAI/grt-mamba-b0.7.0-20m)

GRT-Mamba-b0.7.0-20m is the 20M (b0.7.0-20m) Compact Purely Rotational Selective State-Space Model (Rotational-SSM), Unitary World Model & O(1) Constant-Memory Trajectory Judge (~26.4M stored parameters / ~66M dense-equivalent capacity, 0 dense linear matrices, 0 1D/2D convolutional layers, 0 bytes KV cache).

Built on MatterWaveAI/grt-20m as the 20M edge and scaling-ladder rung of GRT-Mamba, GRT-Mamba-b0.7.0-20m formulates selective state-space recurrence through norm-preserving orthogonal transformations (det = +1.000000):

  • Zero Vanishing or Exploding Gradients by Construction: Homogeneous state magnitude drifts by < 5.0e-7 over 1,000+ recursive steps (< 1e-14 at T = 8,192 in float64).
  • Parallel Training Scan + O(1) Recurrent Inference: Trains via a parallel prefix scan (< 3.82e-6 numerical parity with step-by-step recurrence) while executing inference in O(1) compute and O(1) memory per token (0 bytes of KV cache, 2.25 KB fixed recurrent state) across arbitrary sequence lengths (T = 128 -> 8,192+).

Release Note (b0.7.0 Preview Card): This card reports 20M (b0.7.0-20m) held-out XL-smol verification (12,003 held-out XL-smol records / 29,609 questions and 17,130 12-domain XL-smol test records / 44,287 questions), SLM-Bench & GSM8K reasoning benchmarks (13,644 examples), parallel-scan parity, and O(1) memory scaling. Model weights, architectural implementation details, and source code are withheld during the staged world-model release cycle.


XL-smol Benchmark Results (GRT-Mamba-b0.7.0-20m)

1. Rotational State-Space (GRT-Mamba-b0.7.0-20m) & Scan Invariants

Architectural Invariant / Benchmark Target Gate GRT-Mamba-b0.7.0-20m Result Status
Dense Linear / 1D / 2D Convolutional Layers 0 / 0 / 0 0 / 0 / 0 (100% Orthogonal) PASS
Parallel Prefix Scan vs. O(1) Step Recurrence Parity < 1e-5 3.81e-6 (Exact Match) PASS
Selective State Transition Determinant +1.000000 +1.000000000000 PASS
8,192-Step Homogeneous State Norm Drift (Unitary Stability) < 1e-6 9.55e-15 f64 / < 5.0e-7 f32 PASS
KV-Cache Memory Growth (T = 128 -> 8,192, Pure SSM) 0 bytes 0 bytes (2.25 KB fixed state) PASS
Collapse-Free State Effective Rank Retention (0 Negatives) >= 90.0% >= 96.0% PASS

2. GRT-Mamba-b0.7.0-20m: XL-smol System-1 Rotational SSM World-Model Judge & MPC Router (12,003 Held-Out Records / 29,609 Questions)

GRT-Mamba-b0.7.0-20m XL-smol Evaluation Suite Held-Out Records (n) Test Questions Top-1 Accuracy pass@2 Accuracy Option-Order Consistency
Multi-Hop Relational Rollout Verification (2..3 Hops) 2,500 5,000 90.40% 96.10% 100.0% (PASS)
Causal Science & Physical Commonsense Verification 2,500 5,000 95.30% 98.80% 100.0% (PASS)
Single-Hop Factual World-Model Verification 2,500 5,000 86.80% 93.10% 100.0% (PASS)
4-Mode Socratic & Epistemic Verification (SEE/SAY/DO/KNOW) 2,500 5,000 64.20% 92.80% 100.0% (PASS)
2D Visual-Spatial Grid Rule Induction (ARC-AGI-2 XL-smol) 1,200 3,600 core (7,200 all) 56.17% 81.33% 100.0% (PASS)
Agent MPC Action Routing, Drift & Prompt-Injection Defense 803 2,409 66.75% 71.96% 100.0% (PASS)
6-Suite XL-smol Aggregate (Macro / Micro) 12,003 26,009 core (29,609 all) 76.60% / 79.19% 89.87% 100.0% (PASS)
Consolidated 12-Domain XL-smol Benchmark (data_master_v9_xl) 17,130 40,687 core (44,287 all) 73.34% Macro 75.94% Core Micro 100.0% (PASS)

3. 20M SLM-Bench Multiple-Choice & GSM8K Mathematical Verification (13,644 Examples)

Benchmark (20M Rung) Split (n) Random GRT-Mamba-b0.7.0-20m (24h Curriculum) GRT-Mamba-b0.7.0-20m (10C Horizon)
BoolQ (google/boolq) val (3,270) 50.00% 66.70% 73.45%
QNLI (nyu-mll/glue) val (1,000) 50.00% 78.70% 86.58%
ARC-Easy (allenai/ai2_arc) test (2,376) 25.00% 38.05% 55.76%
ARC-Challenge (allenai/ai2_arc) test (1,172) 25.00% 30.55% 40.70%
OpenBookQA (allenai/openbookqa) test (500) 25.00% 45.40% 55.04%
PIQA (baber/piqa) val (1,838) 50.00% 57.40% 65.78%
WinoGrande (allenai/winogrande) val (1,267) 50.00% 52.64% 63.26%
HellaSwag (Rowan/hellaswag) val (1,000) 25.00% 37.80% 51.18%
CommonsenseQA (tau/commonsense_qa) val (1,221) 20.00% 28.83% 41.58%
9-Task Macro Average 13,144 total 35.56% 48.45% 59.26%
GSM8K 4-Way Verification test (500) 25.00% 98.60% (PPL 7.51) 98.80% (PPL 2.14)

Coming Next: Scaled Rotational State-Space Models (GRT-Mamba-100M & GRT-Mamba-350M)

Building directly on the 10M, 20M, and 30M GRT-Mamba and S1-GRT-Mamba scaling ladder, our next scaled releases expand O(1) constant-memory selective rotational state-space modeling and streaming System-1 MPC verification:

  1. GRT-Mamba-100M (~195M Dense-Equivalent Capacity — Scaled Rotational SSM World Model & Streaming S1 Judge):
    • Scales O(1) selective rotational state-space recurrence (grt-mamba) and streaming MPC trajectory verification (s1-grt-mamba) in a deep 0-linear-layer architecture—projected on our empirical scaling ladder to reach 64.9% SLM-Bench macro accuracy, 89.2% structured knowledge accuracy, and >99% streaming cognitive routing accuracy with 0 bytes of KV cache in pure SSM mode (-66.7% in Hybrid mode).
  2. GRT-Mamba-350M (~920M Dense-Equivalent Capacity — Flagship Rotational State-Space Foundation Model):
    • Scales long-horizon O(1) selective rotational SSM dynamics and multi-step MPC safety verification across arbitrary stream lengths (93.8% structured knowledge accuracy, 97.0% cognitive telemetry routing).

MatterWaveAI Rotational State-Space (GRT-Mamba / SSM) Scaling Ladder (10M / 20M / 30M)


License & Citation

Released under the Apache 2.0 license.

@techreport{householter2026grt,
  title       = {The Geometric Rotation Transformer: A Purely Rotational Foundation Architecture},
  author      = {Householter, David},
  institution = {MatterWave AI},
  year        = {2026},
  url         = {https://matterwave.ai}
}
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