Solve the mean-variance optimization Σ · x = μ via Conjugate Gradient instead of the legacy Neumann series.
Why CG instead of Neumann (ADR-123 Wedge 8):
- Neumann series: ~50 µs at n=256 (legacy
npx neural-trader --portfolio optimize) - Conjugate Gradient: ~816 ns at n=256 (this skill)
- Measured speedup: 40-60×; parity within 1e-4 on a fixed seed.
The covariance matrix Σ is symmetric positive-definite by construction (it's a Gram matrix on real returns), so CG is provably optimal — it converges in at most n iterations with no preconditioning, and typically far fewer when eigenvalues cluster.
Disable flag: set RUFLO_NEURAL_TRADER_DISABLE_CG=1 to skip the CG path entirely and fall through to step 4's legacy Neumann route. Useful for A/B validation or when an upstream covariance regression breaks SPD.
Native dispatch flag: set RUFLO_SUBLINEAR_NATIVE=1 to force the adapter to attempt the native mcp__ruflo-sublinear__solve path even when globalThis doesn't expose the tool (e.g. when the harness mounts it via a different transport). On any native-dispatch failure the adapter cleanly falls back to the local JS CG and records method: 'cg-local' in the artifact metadata — so the regression is auditable.
Steps:
Ensure neural-trader is available:
npm ls neural-trader 2>/dev/null || npm install --ignore-scripts neural-traderRead the current covariance matrix Σ and expected-return vector μ from neural-trader's portfolio API:
# Primary path (preferred — clean JSON): npx neural-trader --portfolio current --json # Fallback paths if the --json flag is unavailable on the installed version: npx neural-trader --portfolio current # parse the text output # OR pull from AgentDB if a prior run stored the matrix there:mcp__claude-flow__memory_search({ query: "covariance matrix current", namespace: "trading-risk", limit: 1 })The skill expects the response to include
covariance: number[][](n × n) andexpectedReturns: number[](length n).Solve Σ · x = μ via the SublinearAdapter (preferred path) when
RUFLO_NEURAL_TRADER_DISABLE_CGis unset:import { sublinearAdapter } from '../../src/sublinear-adapter.mjs'; const result = await sublinearAdapter.solveCG(COVARIANCE, EXPECTED_RETURNS, { tolerance: 1e-6, maxIterations: 200, }); // result.solution — optimal weights (number[]) // result.iterations — CG iterations executed // result.residual — final ||A·x − b||₂ // result.latencyMs — wall-clock latency // result.method — 'cg-sublinear-native' | 'cg-local' <-- READ THIS // result.solver — 'sublinear-time-solver@1.7.0' | 'local-js-cg' // result.degraded — true if input failed SPD checks (fall back to step 4)The adapter does the dispatch itself: it probes for
mcp__ruflo-sublinear__solveonglobalThis(and honoursRUFLO_SUBLINEAR_NATIVE=1as a manual override), routes through the native kernel when reachable, and falls back transparently to the embedded ~50-LOC JS CG when not. The math is identical either way — CG, dense form, n × n SPD covariance. The operator readsresult.methodto know which backend produced the artifact.The native MCP tool's wire shape (for direct callers who want to bypass the adapter):
mcp__ruflo-sublinear__solve({ matrix: COVARIANCE, rhs: EXPECTED_RETURNS, algorithm: "cg", tolerance: 1e-6, maxIterations: 200 })Output:
{ solution: number[], iterations: number, residual: number }Fallback (legacy Neumann) — if step 3 reports
degraded: true(non-SPD input, non-square matrix, MCP error) OR ifRUFLO_NEURAL_TRADER_DISABLE_CG=1:npx neural-trader --portfolio optimizeCapture the weights output and tag the artifact metadata with
method: 'neumann-fallback'and areasonfield.Store the optimal weights to
trading-risknamespace with full provenance metadata. Takemethodandsolverstraight from the adapter's result so the operator can verify which backend ran:mcp__claude-flow__memory_store({ key: "portfolio-weights-PORTFOLIO_ID-TIMESTAMP", namespace: "trading-risk", value: JSON.stringify({ weights: result.solution, // number[] from step 3 (or weights from step 4 fallback) method: result.method, // 'cg-sublinear-native' | 'cg-local' | 'neumann-fallback' solver: result.solver, // 'sublinear-time-solver@1.7.0' | 'local-js-cg' | 'neural-trader-cli' iterations: result.iterations, residual: result.residual, latencyMs: result.latencyMs, capturedAt: NEW_DATE_ISO, reason: FALLBACK_REASON || null }) })The
trading-risknamespace is canonical (ADR-126 Phase 1; the five-namespace alignment). Long-lived — no TTL — because portfolio weights are the audit trail Phase 4 will Ed25519-sign.Cross-check against historical patterns (optional but recommended):
mcp__claude-flow__agentdb_pattern-search({ query: "portfolio weights Sharpe regime:CURRENT_REGIME", namespace: "trading-risk" })If the new weights differ by more than 30% in any single asset from the historical median, flag for human review before applying. This is a guard-rail, not a hard block.
Acceptance criteria (ADR-126 Phase 3):
- Latency < 1 ms on n = 256 covariance (local JS CG); native path target 40-60× faster (816 ns native vs 50 µs Neumann per sublinear-time-solver@1.7.0).
- Parity with legacy Neumann within
||cg − neumann||_∞ < 1e-4on a fixed seed. - Fallback path engages cleanly when native MCP unavailable / covariance non-SPD.
- Artifact metadata distinguishes
cg-sublinear-native,cg-local, andneumann-fallback.
Refs:
- ADR-126 Phase 3 (this skill's authoring ADR)
- ADR-123 §162 Row 8 (Wedge 8 speedup claim)
- ADR-123 §262-289 (the SublinearAdapter contract)
plugins/ruflo-neural-trader/src/sublinear-adapter.ts(the adapter)plugins/ruflo-neural-trader/benchmarks/portfolio-cg.bench.ts(the measured numbers)