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Aug 2026
Diffusion multimodal large language models (dMLLMs) frequently produce long-form outputs marred by semantic drift and repetition, with quality generally degrading as output length increases. We identify two structural deficiencies in existing decoding methods as primary drivers of these failures: confidence-based scori...
Yikai Zhao, Qiyan Zhao, Jia-Quan Zhang et al.
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Spatially heterogeneous partial differential equations (PDEs) exhibit location-dependent dynamics arising from variations in geometry and physical coefficients. Existing neural operators improve localized modeling through multiscale features, attention mechanisms, or domain decomposition, yet their update rules often r...
Jia-Quan Zhang, Chaoning Zhang, Shuxu Chen et al.
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Preprint
Jul 2026
A geometry-aware incremental neural operator (GeoIncNO) for stable long-horizon PDE prediction and a mean--fluctuation decoupled reconstruction mechanism, where stable mean structures and dynamic fluctuations are fused separately, and phase correction is applied only to the zero-mean fluctuation component.
Jia-Quan Zhang, Shuxu Chen, Haifan Meng et al.
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Jul 2026
Experiments show that HERO consistently improves long-horizon accuracy, stable rollout length, and out-of-distribution robustness at no inference-time cost, indicating that history-enriched relative supervision is effective for stabilizing long-horizon autoregressive prediction.
Jia-Quan Zhang, Shuxu Chen, Haifan Meng et al.
· arXiv.org · 0 citations
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