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0111 · Apr 202619922001200920172026
2 results for order-gap

Unified framework for adaptive learning systems using consolidation and expansion operations.

problem Managing the balance between consolidating known knowledge and expanding into new evidence in adaptive learning systems.
method Introduces Consolidation-Expansion Operator Mechanics (OpMech) with the order-gap metric to control the balance.
result The order-gap signal provides real-time control and termination guarantees for adaptive learning systems.

Research proves limits on harmonic map orders into Euclidean buildings.

problem Limits on the possible orders of harmonic maps from surfaces to Euclidean buildings.
method Direct analysis of homogeneous maps and related spherical billiards problem.
result The order of harmonic maps is of the form mk\frac mk where kk divides W|W|.