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Become better at mathematical reasoning.

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That sounds like a goal, but it does not say which examples to
study or what progress should look like.

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Aspire studies this missing step: can an agent decide what to
learn, as well as how to update itself?

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Here, vague means a broad capability direction, not a careless
or ambiguous instruction.

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The agent must turn that direction into data choices, an update
objective, and a way to check its own work.

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The final evaluation items stay hidden. They test whether the
agent's chosen proxy serves the intended capability.

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We will follow that decision chain, then compare apparent
progress with the starting model.

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In an illustrative mathematics campaign, the agent might
diagnose a weakness in solving multi-step algebra problems.

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It then chooses practice data, a training objective, and its own
validation questions.

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But suppose its local checks mainly reward a familiar answer
format.

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Getting better at that check may miss the original goal.

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Aspire makes this distinction explicit: progress on an
agent-built proxy

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must be assessed against a goal-aligned external criterion.

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Its managed tool interface supports data selection, training,
local validation, branching, and stopping.

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Backend job mechanics are handled by the controller, leaving the
strategic learning decisions to the agent.

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The benchmark supports two evolution surfaces: model weights and
the supporting agent harness.

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Weight evolution selects data and an update recipe, then
produces a trained descendant checkpoint.

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Harness evolution edits instructions, tool policy, workflow,
memory, or validation logic

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while runtime weights stay fixed.

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The policy directing the search is distinguished from the object
being changed.

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All reported weight-search runs keep their initial decision
model fixed;

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they do not demonstrate recursive replacement of that decision
model.

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This lets the study ask whether a bounded search creates a
better candidate

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without confusing execution with capability growth.

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The hidden Aspire evaluation contains five hundred twenty
expert-authored items across six capability goals.

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These cover science, humanities, medicine, mathematics,
integrated reliability, and academic writing,

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with each goal scored separately.

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The agent cannot inspect evaluation items, reference answers,
rubrics, or per-item judge feedback.

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In adaptive feedback, bounded queries return aggregate scores
that can guide later updates.

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That setting uses the same goal evaluation slice repeatedly. It
is not an untouched confirmation test after selection.

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A separate final-only protocol withholds intermediate scores.
Its outcomes are reported separately.

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In the adaptive-feedback experiment, thirty configuration-goal
cells receive one run each.

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Twenty-eight produce an evaluated checkpoint,

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and twenty-one produce a checkpoint meeting the predeclared
eligibility rules.

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Only one cell produces an eligible above-base checkpoint that
remains after the rollback rule.

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Eligibility includes provenance, exploration, completion, and a
terminal record.

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It does not itself mean a capability gain.

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The retained result was selected using repeated aggregate
feedback on the same slice,

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without a separate confirmation slice.

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The measured finding is sparse retained progress under this
protocol, alongside many completed training loops.

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One Qwen three point five four-B mathematics trajectory makes
the distinction concrete.

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Its updated checkpoints score zero point seven nine, then one
point seven five, then two point three eight.

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Those scores rise, but the starting model scored seventeen point
eight six on the same goal slice.

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The later checkpoint is better than an earlier damaged
checkpoint, while remaining well below the base.

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Aspire therefore distinguishes the best evaluated candidate, an
eligible selected candidate,

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and the state retained after rollback.

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A positive slope within the lineage cannot replace an above-base
comparison.

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The harness study holds Qwen three point five four-B runtime
weights fixed

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and evaluates academic and scientific writing.

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Each creator attempts one successor.

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Valid harnesses are frozen, then executed three times on twenty
hidden writing items.

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The reference Qwen-Agent scores twenty-eight point six four on
task-macro evaluation.

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The closest valid successor reaches twenty-seven point two two.

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All three valid successors are numerically below that reference
under the fixed runtime.

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The repeated executions measure runtime variation, not three
independent creation trajectories.

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This experiment tests one-step harness generation, rather than
an indefinitely repeating self-improvement process.

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Aspire brings target formation into the self-evolution problem:

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deciding what progress means comes before searching for an
update.

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An agent can collect data, launch training, and produce a
checkpoint without improving the intended capability.

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It can also construct a working harness whose hidden-evaluation
score is lower than the starting reference.

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The useful chain is goal, proxy, candidate, external
measurement, and retained outcome.

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Each link has to stay visible, and improvement must be judged
against the base, not only the previous checkpoint.

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Running the learning loop is a start. Establishing that it
learned the right thing is the test.

