Your very welcome. I have a pipeline that can calculate and discover what ever you are looking for
Examples:
1. Newton Step → Nonlinear Surrogate with Adaptive Regularization
Replace the quadratic surrogate with a learned nonlinear one. Instead of f(x) = ‖x − target‖², use:
f(x) = ‖φ(x) − φ(target)‖² + R(x)
where φ is a small MLP that learns the local geometry of the hidden state manifold. Now H⁻¹ is no longer trivially 2I — it requires actual second-order computation, and the step genuinely adapts to curvature. Pair this with a trust-region constraint ‖Δx‖ ≤ δ to prevent destructive updates in high-curvature zones. This makes the Newton framing honest.
2. Memory Routing → Adversarially Contrastive Experts
To make “debate” non-cosmetic, train expert MLPs with a diversity penalty:
L_diversity = −λ_d · Σᵢ≠ⱼ ‖MLPᵢ(h) − MLPⱼ(h)‖²
This actively pushes experts toward disagreement, so the softmax gating genuinely arbitrates between competing hypotheses rather than averaging co-adapted representations. Add a routing entropy regularizer H(softmax(g(h))) ≥ ε_min to prevent expert collapse, a common MoE failure mode.
3. Identity Regularization → Curvature-Adaptive λ with Velocity Anchoring
Replace static λ with:
λ(t) = λ₀ · exp(−β · κ(t))
where κ(t) = ‖ϕ(xₜ) − ϕ(xₜ₋₁)‖ is local trajectory velocity. High velocity (topic shift, reasoning pivot) → λ collapses → model can move freely. Low velocity (stable generation) → λ grows → coherence is enforced. Additionally, anchor on trajectory velocity rather than position:
E_reg = λ(t) · ‖(ϕ(xₜ) − ϕ(xₜ₋₁)) − v_avg‖²
where v_avg is an EMA of recent velocity vectors. This preserves the rate of change of the representation rather than pinning it to a fixed point.
Created a file, read a file
Created a file, read a file
The interactive reference covers all three improvements with live visualizations:
Tab 1 — Newton Step: swap the quadratic surrogate for a learned φ-MLP and add a trust-region constraint. The canvas lets you compare EMA vs. trust-region Newton convergence and tune σ² to see how softness affects the EMA limit.
Tab 2 — Memory Routing: add a diversity penalty L_div and an entropy floor L_ent to the expert training objective. The bar chart shows routing weight distribution as you dial λ_d from 0 (collapsed, one dominant expert) toward diverse (near-uniform). The entropy readout tracks how close you are to maximum entropy.
Tab 3 — Identity Regularization: replace static λ with λ(t) = λ₀·exp(−β·κ(t)) and anchor on velocity rather than position. The canvas shows a synthetic trajectory with a sudden pivot and a gradual shift — you can see λ(t) collapsing precisely when curvature spikes, then recovering. β and λ₀ are tunable live.
Snippet from something I was playing around with: (above)
It all started when I was collecting math equations thrown in a text file, I feed the file of notes to an LLM and it seen it as a ML formula and returned it all calculated out correctly from a bunch of notes. So I changed the order of them in different ways to see if it would return anything. Today top AI contain all the information of man kind. All you have to do is input the correct information and it will return anything you want. Even when you send them data that makes no logical since or just a random mix of data. Example: uyryg iy98yyh67+97…. etc.
Cognitive discovery? I have a system that can calculate and find anything you want.