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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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8.3%16.7%25.0%33.3% · Jan 199319922001200920182026
48 results for graph robustness

PA-GNN enhances GNN robustness against poisoning attacks using clean graph knowledge.

problem Improving robustness of GNNs against poisoning attacks.
method PA-GNN uses a penalized aggregation mechanism and meta-optimization to transfer robustness from clean graphs.
result PA-GNN significantly improves GNN robustness against poisoning attacks on real-world graphs.

Improves robustness of GNNs with minimal loss in accuracy.

problem Non-robustness of GNNs to adversarial attacks on node attributes.
method Certifiable robustness method for binary node attributes and L_0-bounded perturbations, combined with robust semi-supervised training.
result Certified robustness and non-robustness of GNNs, with minimal loss in accuracy.

Polynomial-time algorithm estimates edge density of random graphs with privacy and robustness.

problem Estimating edge density of random graphs while maintaining privacy and robustness.
method Sum-of-squares algorithm for robust edge density estimation and reduction from privacy to robustness.
result Optimal error rate up to logarithmic factors, matching theoretical lower bounds.

Heterophily affects GNN robustness; separating ego- and neighbor-embeddings improves defense.

problem The robustness of GNNs to adversarial attacks.
method Formalized relation between heterophily and GNN robustness; empirical analysis; design principles for improved robustness.
result Separating ego- and neighbor-embeddings increases GNN robustness.

Mapper-GIN simplifies 3D point cloud classification with lightweight structure.

problem Robust 3D point cloud classification under corruption.
method Mapper algorithm for structural decomposition, GIN for graph classification.
result Mapper-GIN achieves competitive accuracy with minimal parameters.

AdvImmune improves certifiable robustness of GNNs against adversarial attacks.

problem Vulnerability of graph neural networks to adversarial attacks.
method Proposes AdvImmune, an algorithm that optimizes with meta-gradient to improve certifiable robustness.
result Remarkably improves the ratio of robust nodes by 12%, 42%, 65% with an affordable immune budget of only 5% edges.

DA-GNN improves robustness of GNNs by modeling noise dependencies.

problem Real-world graph node features often contain noise, leading to performance degradation in GNNs.
method DA-GNN captures noise dependencies using variational inference and new benchmark datasets.
result DA-GNN consistently outperforms existing baselines across various noise scenarios.

Improves scalability and robustness of dynamic graph clustering.

problem Scalability and robustness issues in matrix factorization methods for dynamic graphs.
method Temporal separated matrix factorization, bi-clustering regularization, selective embedding updating.
result Demonstrated scalability, robustness, and effectiveness on synthetic and real-world benchmarks.

Efficient framework for robust training of GNNs against adversarial attacks.

problem Adversarial attacks on graph neural networks leading to incorrect predictions.
method Greedy search algorithms and zeroth-order methods for efficient robust training.
result Significantly less computationally expensive and more robust than state-of-the-art methods.

Pro-GNN defends graph neural networks from adversarial attacks by learning graph structure.

problem Vulnerability of GNNs to adversarial attacks on real-world graphs.
method Pro-GNN learns a structural graph and a robust GNN model jointly from perturbed graphs guided by intrinsic graph properties.
result Pro-GNN achieves significantly better performance than state-of-the-art defense methods, even on heavily perturbed graphs.

Graph Denoising Policy Network learns robust representations from noisy graphs.

problem Noise sensitivity in graph representation learning.
method Reinforcement learning to select signal neighborhoods and aggregate features.
result Significantly outperforms state-of-the-art methods on node classification tasks.

The paper examines how neural network topology affects adversarial robustness.

problem Understanding how neural network topology influences adversarial robustness.
method Investigated the graph of input traversing all layers of a neural network, comparing clean and adversarial inputs.
result Under-optimized edges in neural network graphs are a source of adversarial vulnerability and can be used to detect adversarial inputs.

Graph Random Neural Network improves semi-supervised learning on graphs.

problem Over-smoothing, non-robustness, and weak-generalization in GNNs with few labeled nodes.
method Random propagation strategy and consistency regularization.
result Significantly outperforms state-of-the-art GNN baselines on semi-supervised node classification.

Paper tackles robust graph matching in dense graphs with AMP type algorithm.

problem Matching recovery between correlated Gaussian Wigner matrices with adversarial perturbations.
method Approximate Message Passing (AMP) type iterative algorithm with time-dependent matrix multiplication.
result Algorithm succeeds in polynomial time for non-vanishing correlation and small perturbations.

TGCN learns from multi-relational graphs, improving SSL performance.

problem Scalable semi-supervised learning from multi-relational data.
method Tensor-graph convolutional network with dynamic weights and graph-based regularizers.
result Significantly improved SSL performance over standard GCNs.

BeGIN benchmarks GNNs for instance-dependent label noise in graphs.

problem Instance-dependent label noise in graph data.
method BeGIN introduces a benchmark with various noise types and evaluates noise-handling strategies across GNN architectures.
result Challenges of instance-dependent noise, especially LLM-based corruption, and the importance of node-specific parameterization.

Novel TRI-GNN framework improves graph classification robustness.

problem Graph neural networks suffer from over-smoothing and vulnerability to graph perturbations.
method Integrates higher-order graph information via persistent homology and local graph structure learning.
result TRI-GNN outperforms state-of-the-art baselines on node classification tasks.

New spectral clustering method using LASSO regularization for robust graph partitioning.

problem Lack of theoretical guarantees for spectral clustering on general graph models.
method 1-spectral clustering on a new random model with LASSO regularization.
result Effective and robust to small noise perturbations, validated by simulations and real data.

Graphs can be fooled by small edge changes, but this work protects them.

problem Adversaries can manipulate graph data to mislead graph classification models.
method We introduce a smoothed graph classification model with a robustness guarantee.
result The smoothed model maintains consistent predictions under small adversarial perturbations.

This work evaluates graph models' robustness to structural distributional shifts.

problem Evaluating graph models' robustness to structural distributional shifts.
method Proposes a general approach for inducing diverse distributional shifts based on graph structure.
result Simple models often outperform more sophisticated methods on structural distributional shifts.

Efficient method certifies robustness of discrete data models, especially graphs.

problem Certifying robustness of discrete data models, especially graphs, is difficult.
method Randomized smoothing framework, sparsity-aware, model-agnostic, tight and efficient.
result Proposes a scalable method for certifying robustness of discrete data models, especially graphs.

Paper presents an optimization-based attack and defense for graph neural networks.

problem Adversarial robustness of graph neural networks (GNNs).
method Gradient-based attack and optimization-based adversarial training.
result Optimization-based attack can significantly decrease GNN classification performance with minimal edge perturbations.

This paper improves GNN robustness by aligning feature and adjacency matrix learning.

problem Improving robustness of graph neural networks (GNN) in noisy graph data.
method Proposes a novel regularized GSL approach that aligns feature information and graph information, incorporating sparse dimensional reduction.
result Demonstrates superior performance in noisy graph structures compared to competitive baselines.

This paper explores vulnerabilities in hierarchical graph pooling neural networks for graph classification.

problem Vulnerability of hierarchical graph pooling neural networks in graph classification tasks.
method Proposes an adversarial attack framework using a surrogate model to generate adversarial samples.
result Adversarial samples can fool hierarchical GNN-based graph classification models, demonstrating their vulnerability.

Graph Information Bottleneck (GIB) optimizes graph representations for robustness against adversarial attacks.

problem Challenges in learning graph representations due to structure and feature information.
method GIB is an information-theoretic principle that balances expressiveness and robustness by maximizing mutual information between representation and target, while constraining mutual information with input data.
result GIB-based models are more robust to adversarial attacks, achieving up to 31% improvement.