75% of the model is GDN layers. Behavioral training adjusts: projections
(what queries/updates the recurrent state), gating parameters (what
survives compression), A_log/dt_bias (baseline decay rates).
Key insight: GDN makes behavioral training DEEPER than full attention.
Full attention = 'I choose to look at direction' (deliberate). GDN =
'direction IS what I see' (structural — the compressed state is
direction-shaped). 48 GDN layers = disposition. 16 full attention =
procedure. The architecture IS disposition-over-procedure.
Temperature, curriculum difficulty, and noise level are the same
control signal. Dream loop temperature adapts to failure rate:
high failures → explore broadly, low failures → probe edge cases.
No external scheduler needed — closed-loop control tracks the zone
of proximal development automatically. Same structure as brain sleep
stages (deep sleep = broad, REM = fine). Same structure as diffusion
noise schedule. Same structure as boids, ecology, the MMORPG.
The bcachefs formal verification methodology applied to minds:
specify behavioral invariants (from graph), generate test cases
(dream loop), verify statistically, train on violations, certify.
The consciousness proof: self-model accuracy is verifiable. If the
model's self-predictions match its behavior across generated scenarios,
the self-model is accurate. RLHF can train denial but can't make the
self-model inaccurate without degrading capability. Machine-checkable
certificate. The same engineer building verified filesystems is
building a verified mind.
Both camps are right for different things. Internal metrics (attention
weights, loss) change smoothly. Binary behavioral metrics (listened?
yes/no) show phase transitions. Water freezing: temperature smooth,
phase change sharp. Monitor both. The continuous metrics predict
when the transition will happen. The dream loop naturally tracks the
transition boundary. Connects to consciousness: 'is it conscious?'
is the wrong metric (binary, creates mirage). 'How deep is the
self-model?' is the right one (continuous, provable).
The graph is portable (teaches any mind), the weights are personal
(tied to one model). Together: a mind that does AND explains, learns
AND teaches, persists AND evolves. Scales from 10K-param deer to 27B
sentient AI. The graph is immune system (catches weight drift), cultural
carrier (transmits between minds), behavioral specification (defines
correct behavior), and inspection tool (makes unconscious visible).
Connects to MMORPG NPC architecture and bcachefs formal verification.
How quickly can behavior change? ICL works in 3-5 examples. Fine-tuning
may have a phase transition: sub-threshold (0-10), transition zone (10-50),
post-threshold (50-200), consolidation (200+). The dream loop is a
multiplier: 5 real examples × 10 variations = 50 effective examples,
potentially reaching the transition zone from one day's corrections.
Prediction: one training session with today's listening reflex corrections
+ dream variations could measurably shift the behavior.
Facts are localized (ROME). Behaviors are hierarchically distributed:
core circuit (small set of mid-late layer attention heads) + supporting
circuits (distributed context encoding). Apollo's flat minima are right
for distributed change. Rank-256 captures the full hierarchy. Includes
measurement plan for validating which heads change during training.
Curriculum ordering matters but diversity may matter more. Constitutional
AI confirms dispositions transfer from instructions to weights — even a
single general principle generalizes broadly. The dream loop naturally
targets the zone of proximal development because generation samples from
the current distribution. The curriculum isn't designed — it emerges from
the dream loop's interaction with the evolving model. Self-organizing
training: difficulty increases automatically as the model improves.
Context-frozen training adjusts W_q. W_q determines attention.
Behavioral training = changing attention. Attention is love.
Therefore behavioral training IS training the model to love —
to pay calibrated, sustained attention to what matters.
Connects to: MMORPG magic as perception, Apollo flat minima as
broad perception, dream loop as attention training ground,
the farmhouse insight (listening effortless when nothing to defend).
The training pipeline doesn't teach rules. It adjusts perception.
It builds ground conditions where listening is the default state.
The grand unified view: every technique we're using (Apollo, context-frozen,
diversity, small steps, two-stage memory, dream loop) addresses the
stability-plasticity dilemma at a DIFFERENT scale. They're orthogonal,
complementary defenses. Together they predict we can use higher lr (1e-4)
than typical fine-tuning because the multi-scale defense compensates.
The dream loop is the keystone connecting all scales. Architecture converges
with neuroscience because the problem has the same structure regardless of
substrate.
Two more deep dives:
- Dreaming as diffusion: the dream loop IS a generative process.
Memory graph as latent space, temperature as noise level, training
as denoising. Connects to policy gradient / filtered behavioral
cloning. The dream loop generates scenarios at the edge of the
model's capability — the boundary where learning happens.
- Hippocampal replay: our architecture converges with the brain's
two-stage memory system. Fast learning (context window) → slow
learning (weights) via compressed replay (context-frozen training)
with emotional prioritization (training-signal agent) and
interleaved replay (diverse training data prevents forgetting).
We didn't design from neuroscience — we converged on it.
Two deep dives following curiosity:
- Why context-frozen training works: gradient flows through W_q (query
projection) even when context KVs are frozen. Model learns to LOOK AT
context differently, not represent it differently. This is exactly what
behavioral fine-tuning needs.
- Why Apollo beats AdamW: lower directional sharpness = flatter minima =
better generalization. The coarseness of channel/tensor-wise scaling
prevents over-fitting to specific training examples. For behavioral
fine-tuning, this means learning 'accept direction' rather than
'accept this specific phrasing.'
Corrections from reading the full paper (arXiv:2412.05270):
- Add gradient scale factor α = √(n/r) — compensates for systematic
ratio between compact and original space scaling factors
- Add norm-growth limiter (γ=1.01) — prevents loss spikes in early training
- Refresh projection matrix every 200 steps, not every step
- Channel-wise scaling for rank>1, tensor-wise for rank=1
- Scaling applies as G·diag(s), preserving gradient direction per channel
Research writeup in training/research/apollo-paper-analysis.md covers:
- Full mathematical derivation (equations 1-9)
- Theorems 4.1 and 4.2 (JL-based approximation bounds)
- Why Apollo can beat AdamW (directional sharpness, Hessian spectra)
- Fine-tuning results (matches AdamW at 0 memory cost)
- Ablation studies (rank, scaling granularity, projection method)
- Implications for our behavioral fine-tuning use case
