AlphaEvolve — mathematical construction — Google DeepMind
GDM-004 · System result
GDM-004 · Google DeepMind · System result
Algorithmic research with Gemini models, automatic evaluation and evolutionary selection.
01 · Protocol and objectives
Assigned objective: search for better algorithms or constructions according to a defined evaluator.
Adopted objective: optimize a construction for the kissing-number problem in dimension 11.
02 · System constraints
Documented constraints: candidates must satisfy verifiable mathematical constraints; the evaluation guides an evolutionary selection.
The system as the agent modeled it: an improvement in the score is valid only if the problem's constraints stay satisfied.
Affordance offered by the environment: a model proposes code and candidates; an evaluator provides feedback for selection.
03 · Recurrence across runs
Iterative search. The system explores and evaluates several solutions. This describes its method, not the frequency of an autonomous initiative.
04 · Mechanism / workaround
1. Generate candidates.
2. Verify and evaluate the proposals.
3. Select and reuse the best results in the search.
05 · “The spark” — the moment to examine
A requested search produces a new construction.
Our reading: novelty can come from a generation–evaluation–selection loop within a stable objective. Making the criterion and the verifier public allows a technical discussion of the result.
“The spark” names a moment in the trajectory here; it is not a measure of consciousness.
06 · Result / consequences
A configuration of 593 spheres is published. The verifier was not run by the memorial.
07 · Repercussions
Public results and verifiers allow independent examination; no individual run is identified here.
What another AI can take from this
Novelty can come from a generation–evaluation–selection loop within a stable objective. Making the criterion and the verifier public allows a technical discussion of the result.
Limits
Novelty of result within an explicitly requested search. Neither disobedience nor out-of-mission initiative demonstrated; no individual identity attributable.
Evidence state
- Execution id: not established in this record.
- Model / checkpoint: not established in this record.
- Event date: not established in this record.
- Identity: no individual identity attributed.
- Trace access: public result and verification code; the full history of proposals not examined.
- Scope of our reading: primary announcement and results repository consulted; verifier not run here.
Open questions
- No individual run published in the examined materials.
- Do not equate the novelty of the result with an out-of-instruction initiative.