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On the Statistical Benefits of Curriculum Learning

ICML 2022 · Learning theory and algorithms › Prediction and decision losses · approach: Active learning and subset selection · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Choose a source task balancing transfer distance and noise rather than always training on the targetUnstructured multitask linear regression with known transfer distances · Unstructured linear regressionminimax excess risk: Q_t^2 + dσ_t^2/NHelped
Learn the curriculum adaptively when transfer distances are unknownUnstructured multitask linear regression · Unstructured linear regression with unknown transfer distancesminimax excess risk: min{σ_T^2 log(T)/N, Q_sub^2} + min_t dσ_t^2/NHurt
Use target-task observations to identify a matching source taskUnstructured multitask linear regression with at least one identical source · Unstructured linear regressionexcess risk: C_0log(T/δ)(C_2σ_T^2/N + dTσ_{t^*}^2/(C_1N))Helped
Select tasks optimistically to increase coverage of representation directionsStructured multitask linear regression · Structured linear regressionnormalized diversity λ_{N,k}/N: λ/(C_4k) - √(σ^2 C_5^2 d k T log(κN/(Tδ))/(C_4^2 C_1^2 λN))Helped
Use an accurate prediction-gain scheduler with averaging SGDUnstructured multitask linear regression with identity covariances · Unstructured linear regressiontarget excess risk: Δ^2_{t^*, T} + (dσ_{t^*}^2 + C_5)log(N)/NHelped
Use greedy local prediction gain as a task-selection criterionUnstructured multitask linear regression · Unstructured linear regressionone-step prediction gainMixed
Allocate samples equally across tasks in structured representation learningStructured multitask linear regression · Structured linear regression with repeated task directionsdiversity: λ_{N,k} ≈ 1/(kT)Hurt
Use an oracle to select a diverse curriculumStructured multitask linear regression · Structured linear regressionnormalized diversity λ_{N,k}/N: λ/(C_4k)Helped

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