Taming Uncertainty in Sparse-view Generalizable NeRF via Indirect Diffusion Guidance

Neural Radiance Fields (NeRF) have demonstrated effectiveness in synthesizing novel views. However, their reliance on dense inputs and scene-specific optimization has limited their broader applicability. Generalizable NeRFs (Gen-NeRF), while intended to address this, often produce blurring artifacts in unobserved regions with sparse inputs, which are full of uncertainty. In this paper, we aim to diminish the uncertainty in Gen-NeRF for plausible renderings. We assume that NeRF's inability to effectively mitigate this uncertainty stems from its inherent lack of generative capacity. Therefore, we innovatively propose an Indirect Diffusion-guided NeRF framework, termed ID-NeRF, to address this uncertainty from a generative perspective by leveraging a distilled diffusion prior as guidance. Specifically, to avoid model confusion caused by directly regularizing with inconsistent samplings as in previous methods, our approach introduces a strategy to indirectly inject the inherently missing imagination into the learned implicit function through a diffusion-guided latent space. Empirical evaluation across various benchmarks demonstrates the superior performance of our approach in handling uncertainty with sparse inputs.

Graph Neural Networks with Feature and Structure Aware Random Walk

Graph Neural Networks (GNNs) have received increasing attention for representation learning in various machine learning tasks. However, most existing GNNs applying neighborhood aggregation usually perform poorly on the graph with heterophily where adjacent nodes belong to different classes. In this paper, we show that in typical heterphilous graphs, the edges may be directed, and whether to treat the edges as is or simply make them undirected greatly affects the performance of the GNN models. Furthermore, due to the limitation of heterophily, it is highly beneficial for the nodes to aggregate messages from similar nodes beyond local neighborhood.These motivate us to develop a model that adaptively learns the directionality of the graph, and exploits the underlying long-distance correlations between nodes. We first generalize the graph Laplacian to digraph based on the proposed Feature-Aware PageRank algorithm, which simultaneously considers the graph directionality and long-distance feature similarity between nodes. Then digraph Laplacian defines a graph propagation matrix that leads to a model called {\em DiglacianGCN}. Based on this, we further leverage the node proximity measured by commute times between nodes, in order to preserve the nodes' long-distance correlation on the topology level. Extensive experiments on ten datasets with different levels of homophily demonstrate the effectiveness of our method over existing solutions in the task of node classification.

Self-Supervised Graph Learning with Proximity-based Views and Channel Contrast

We consider graph representation learning in a self-supervised manner. Graph neural networks (GNNs) use neighborhood aggregation as a core component that results in feature smoothing among nodes in proximity. While successful in various prediction tasks, such a paradigm falls short of capturing nodes' similarities over a long distance, which proves to be important for high-quality learning. To tackle this problem, we strengthen the graph with two additional graph views, in which nodes are directly linked to those with the most similar features or local structures. Not restricted by connectivity in the original graph, the generated views allow the model to enhance its expressive power with new and complementary perspectives from which to look at the relationship between nodes. Following a contrastive learning approach, We propose a method that aims to maximize the agreement between representations across generated views and the original graph. We also propose a channel-level contrast approach that greatly reduces computation cost, compared to the commonly used node level contrast, which requires computation cost quadratic in the number of nodes. Extensive experiments on seven assortative graphs and four disassortative graphs demonstrate the effectiveness of our approach.