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Efficient Temporal Point Processes via Monotone Alternating Splines

Temporal point processes (TPPs) have widespread applications across various domains. Compared to modeling the conditional intensity of a TPP, modeling its cumulative conditional intensity function (CCIF) improves computational efficiency and eliminates numerical approximation errors. However, current CCIF parameterizations uniformly rely on Monotone Neural Networks (MNNs), which we identify as suffering from three structural deadlocks--convexity restrictions, saturation limits, and violations of CCIF modeling requirements--that fundamentally restrict their representational capacity for complex temporal dynamics. To resolve these bottlenecks, this paper proposes a novel framework called Mo...

AuthorsCheng Wan, Quyu Kong, Feng Zhou
Primary categorycs.LG
Published2 July 2026
Last updated at source2 July 2026
cs.LG
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