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This brief studies the networked SIS (Susceptible-Infected-Susceptible) model coupled with the opinion dynamics, where the epidemic spread and the opinion evolution influence each other. We consider that the epidemic spreads over a contact network consisting of $n$ agents (i.e., communities), and the opinion evolves in an influence network with stubborn agents who do not change their opinions. To understand the effects of stubborn agents on the epidemic process, we derive the conditions for the stability, existence, and uniqueness of the healthy state and endemic equilibrium. These results show how stubborn agents’ opinions affect the epidemic threshold. By the analysis of the endemic equilibrium, we find that agents’ opinions can result in a lower size of the outbreak compared with the networked SIS model without considering the opinion, and show how to inhibit the endemic average level by reshaping stubborn agents’ opinions.

Semantic segmentation models gain robustness against adverse illumination conditions by taking advantage of complementary information from visible and thermal infrared (RGB-T) images. Despite its importance, most existing RGB-T semantic segmentation models directly adopt primitive fusion strategies, such as elementwise summation, to integrate multimodal features. Such strategies, unfortunately, overlook the modality discrepancies caused by inconsistent unimodal features obtained by two independent feature extractors, thus hindering the exploitation of cross-modal complementary information within the multimodal data. For that, we propose a novel network for RGB-T semantic segmentation, i.e. MDRNet+, which is an improved version of our previous work ABMDRNet. The core of MDRNet+ is a brand new idea, termed the strategy of bridging-then-fusing, which mitigates modality discrepancies before cross-modal feature fusion. Concretely, an improved Modality Discrepancy Reduction (MDR+) subnetwork is designed, which first extracts unimodal features and reduces their modality discrepancies. Afterward, discriminative multimodal features for RGB-T semantic segmentation are adaptively selected and integrated via several channel-weighted fusion (CWF) modules. Furthermore, a multiscale spatial context (MSC) module and a multiscale channel context (MCC) module are presented to effectively capture the contextual information. Finally, we elaborately assemble a challenging RGB-T semantic segmentation dataset, i.e., RTSS, for urban scene understanding to mitigate the lack of well-annotated training data. Comprehensive experiments demonstrate that our proposed model surpasses other state-of-the-art models on the MFNet, PST900, and RTSS datasets remarkably.

Due to their imaging mechanisms and techniques, some depth images inevitably have low visual qualities or have some inconsistent foregrounds with their corresponding RGB images. Directly using such depth images will deteriorate the performance of RGB-D SOD. In view of this, a novel RGB-D salient object detection model is presented, which follows the principle of calibration-then-fusion to effectively suppress the influence of such two types of depth images on final saliency prediction. Specifically, the proposed model is composed of two stages, i.e., an image generation stage and a saliency reasoning stage. The former generates high-quality and foreground-consistent pseudo depth images via an image generation network. While the latter first calibrates the original depth information with the aid of those newly generated pseudo depth images and then performs cross-modal feature fusion for the final saliency reasoning. Especially, in the first stage, a Two-steps Sample Selection (TSS) strategy is employed to select such reliable depth images from the original RGB-D image pairs as supervision information to optimize the image generation network. Afterwards, in the second stage, a Feature Calibrating and Fusing Network (FCFNet) is proposed to achieve the calibration-then-fusion of cross-modal information for the final saliency prediction, which is achieved by a Depth Feature Calibration (DFC) module, a Shallow-level Feature Injection (SFI) module and a Multi-modal Multi-scale Fusion (MMF) module. Moreover, a loss function, i.e., Region Consistency Aware (RCA) loss, is presented as an auxiliary loss for FCFNet to facilitate the completeness of salient objects together with the reduction of background interference by considering the local regional consistency in the saliency maps. Experiments on six benchmark datasets demonstrate the superiorities of our proposed RGB-D SOD model over some state-of-the-arts.