MoDEx: Mixture of Depth-specific Experts for Multivariate Long-term Time Series Forecasting

Multivariate long-term time series forecasting (LTSF) supports critical applications such as traffic-flow management, solar-power scheduling, and electricity-transformer monitoring. The existing LTSF paradigms follow a three-stage pipeline of embedding, backbone refinement, and long-horizon prediction. However, the behaviors of individual backbone layers remain underexplored. We introduce layer sensitivity, a gradient-based metric inspired by GradCAM and effective receptive field theory, which quantifies both positive and negative contributions of each time point to a layer's latent features. Applying this metric to a three-layer MLP backbone reveals depth-specific specialization in modeling temporal dynamics in the input sequence. Motivated by these insights, we propose MoDEx, a lightweight Mixture of Depth-specific Experts, which replaces complex backbones with depth-specific MLP experts. MoDEx achieves state-of-the-art accuracy on seven real-world benchmarks, ranking first in 78 percent of cases, while using significantly fewer parameters and computational resources. It also integrates seamlessly into transformer variants, consistently boosting their performance and demonstrating robust generalizability as an efficient and high-performance LTSF framework.

Inference-Only Prompt Projection for Safe Text-to-Image Generation with TV Guarantees

Text-to-Image (T2I) diffusion models enable high-quality open-ended synthesis, but their real-world deployment demands safeguards that suppress unsafe generations without degrading benign prompt-image alignment. We formalize this tension through a total variation (TV) lens: once the reference conditional distribution is fixed, any nontrivial reduction in unsafe generations necessarily incurs TV deviation from the reference, yielding a principled Safety-Prompt Alignment Trade-off (SPAT). Guided by this view, we propose an inference-only prompt projection framework that selectively intervenes on high-risk prompts via a surrogate objective with verification, mapping them into a tolerance-controlled safe set while leaving benign prompts effectively unchanged, without retraining or fine-tuning the generator. Across four datasets and three diffusion backbones, our approach achieves 16.7-60.0% relative reductions in inappropriate percentage (IP) versus strong model-level alignment baselines, while preserving benign prompt-image alignment on COCO near the unaligned reference.