Key points
What counts as real self-improvement
- Academic acceptance standard (from the Theseus survey, arXiv:2609.11873): improvements must be repeatable, attributable, and transferable. Lucky benchmark spikes don't count.
- Every loop stalls at propose–verify–adopt. Generation is cheap; verification is not.
- Failure modes: self-confirmation (grading your own homework—the level-0 failure in the Tencent Hunyuan × Zhejiang University reliability survey, 549 papers); compromised judges (model-based evaluators can be gamed); diversity collapse.
- The Theseus survey's 144-system census: only 3 systems reach L4 (modifying the mechanism they themselves use) and 11 reach L5 (improvements inherited by successors). Most sit at L0–L1.
Six layers of what to improve 1. Weights: compressing experience into parameters (Metis-style). Durable but expensive and hard to attribute per-change. 2. Experience/skills: agents distill "skills" from their own trajectories and re-inject them into context—no retraining (ELL survey; AutoSkill, arXiv:2603.01145). 3. Code: Sakana AI's Darwin-Gödel Machine (DGM) rewrites its own agent script; over 80 iterations, SWE-bench rose from 20% → 50%, Polyglot from 14.2% → 30.7%. It maintains an archive of variants to avoid dead ends. 4. Execution structure: Procedural Graphs (arXiv:2609.09153) store procedural knowledge as (procedure, relation, procedure) triples; a refiner compares successful vs. failed trajectories and edits the graph's topology—only edits passing held-out validation are adopted, and rejected edits are archived to prevent repeated mistakes. 5. Direction (navigation): the Huxley-Gödel Machine (ICLR 2026 Oral) navigates the improvement tree by "compound-interest potential" rather than current score; iteration relevance jumped from 0.28 to 0.78. 6. Full-stack industry efforts: OpenRSI's open-source blueprint (generate/verify/memory/route operators, train-inference symmetric); Tencent Hunyuan's Hyra-1.0 research agent (verification is vendor-claimed only).
The real bottleneck: who validates?
Systems snapshot
| System | What it improves | Verifier | Result | |---|---|---|---| | DGM (Sakana, 2025) | Its own agent code | SWE-bench held-out + archive | 20% → 50% in 80 rounds | | HGM (ICLR'26 Oral) | Improvement-tree selection | In-simulator value function | Correlation 0.28 → 0.78 | | Procedural Graphs | Execution-structure topology | Held-out validation + rejected-edit archive | Matches/beats hand-designed graphs | | AutoSkill | Skill library from trajectories | Dynamic injection, no retraining | Cross-session personalization | | OpenRSI (FrontisAI) | Full-stack operators | Held-out 2×2 reversal experiments | Open-source blueprint | | Hyra-1.0 (Tencent Hunyuan) | Research task pipelines | Vendor-claimed only | Industrial sample, under observation | | Theseus survey | 144-system census | — | L4: 3, L5: 11 | | Reliability survey (Tencent × ZJU) | 549-paper taxonomy | — | Two questions: what to change + on what evidence |
Three observations
1. RSI turns "getting stronger" from one-shot engineering into bookkeepable operations. The compound interest rate is verification bandwidth; generation costs have already collapsed, verification hasn't. 2. The improvement locus is drifting from weights toward the workbench. Because verification cost determines which layer can spin: skill libraries and execution structures are cheap, fast, and cleanly attributable. The model is the engine; improvement happens in chassis and gearbox. 3. Archives of negative results are underrated infrastructure. Both DGM and Procedural Graphs keep rejected variants/edits. A mature improvement loop must ledger failures, not just wins—the scarcest resource is an honest ledger.
Where the analogy breaks
Humans self-review via metacognition; every current machine "review" quietly depends on an external judge—held-out test sets, human review, real traffic. No pure closed loop has been demonstrated. That's why only 11 systems reach L5. The prediction offered: within 12 months, "evidence standards" will become a mandatory section in RSI papers, and public L4-level systems will grow from single digits to double digits.
*References: arXiv:2609.11873 (Theseus survey), 2609.09153 (Procedural Graphs), 2507.21046 / 2508.07407 (self-evolving agent surveys), 2603.01145 (AutoSkill), plus DGM / HGM / OpenRSI / Hyra-1.0 materials and "Diving into Reliable Self-Evolving Agents" (Tencent Hunyuan × Zhejiang University).*