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Battery health prognostic is a key part of battery management used to ensure safe and optimal usage. A novel method for end-to-end sensor-free differential temperature voltammetry reconstruction and state of health estimation based on the multi-domain adaptation is proposed in this paper. Firstly, the partial charging or discharging curve is used to reconstruct the differential temperature curve, removing the requirement for the temperature sensor measurement. The partial differential capacity curve and the reconstructed differential temperature curve are input and then used in an end-to-end state of health estimation. Finally, to reduce the domain discrepancy between the source and target domains, the maximum mean discrepancy is included as an additional loss to improve the accuracy of both differential temperature curve reconstruction and state of health estimation with unlabeled data from the testing battery …