Error-bounded lossy compression has been widely adopted in many scientific domains because it can address the challenges in storing, transferring, and analyzing the unprecedented amount of scientific data. Although error-bounded lossy compression offers general data distortion control by enforcing strict error bounds on raw data, they may fail to meet the quality requirements on the results of downstream analysis derived from raw data, a.k.a Quantities of Interest (QoIs). This may lead to uncertainties and even misinterpretations in scientific discoveries, significantly limiting the use of lossy compression in practice. In this paper, we propose QPET, a novel, versatile, and portable framework for QoI-preserving error-bounded lossy compression, which overcomes the challenges of modeling diverse QoIs by leveraging numerical strategies. QPET features (1) high portability to multiple existing lossy compressors, (2) versatile preservation to most differentiable univariate and multivariate QoIs, and (3) significant compression improvements in QoI-preservation tasks. Experiments with six real-world datasets demonstrate that QPET outperformed existing QoI-preserving compression framework in terms of speed, and integrating QPET into state-of-the-art error-bounded lossy compressors can gain up to 250% compression ratio improvements to original compressors and up to 75% compression ratio improvements to existing QoI-integrated scientific compressors. Under the same level of peak signal-to-noise ratios in the QoIs, QPET can improve the compression ratio by up to 102%.
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