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What is Learnable in Valiant's Theory of the Learnable? Learning Perturbations to Extrapolate Your LLM Byzantine-Robust Distributed Sparse Learning Revisited The Sample Complexity of Multiple Change Point Identification under Bandit Feedback A proximal gradient algorithm for composite log-concave sampling Model-based Bootstrap of Controlled Markov Chains Approximation of Maximally Monotone Operators : A Graph Convergence Perspective Posterior Contraction Rates for Sparse Kolmogorov-Arnold Networks in Anisotropic Besov Spaces MIST: Reliable Streaming Decision Trees for Online Class-Incremental Learning via McDiarmid Bound A Spectral Framework for Closed-Form Relative Density Estimation Fast Rates for Offline Contextual Bandits with Forward-KL Regularization under Single-Policy Concentrability Higher-Order Equilibrium Tracking for EM-Compressible Online Estimation Scaling Limits of Long-Context Transformers A Note on Non-Negative $L_1$-Approximating Polynomials Susceptibilities and Patterning: A Primer on Linear Response in Bayesian Learning Linear Response Estimators for Singular Statistical Models Statistical inference with belief functions: A survey Robust stochastic first order methods in heavy-tailed noise via medoid mini-batch gradient sampling Every Feedforward Neural Network Definable in an o-Minimal Structure Has Finite Sample Complexity Adaptive auditing of AI systems with anytime-valid guarantees Locally Near Optimal Piecewise Linear Regression in High Dimensions via Difference of Max-Affine Functions Risk-Controlled Post-Processing of Decision Policies Covariate Balancing and Riesz Regression Should Be Guided by the Neyman Orthogonal Score in Debiased Machine Learning A Unified Pair-GRPO Family: From Implicit to Explicit Preference Constraints for Stable and General RL Alignment Time-Inhomogeneous Preconditioned Langevin Dynamics A Fine-Grained Understanding of Uniform Convergence for Halfspaces CITE: Anytime-Valid Statistical Inference in LLM Self-Consistency Ratio-based Loss Functions Optimal Confidence Band for Kernel Gradient Flow Estimator A renormalization-group inspired lattice-based framework for piecewise generalized linear models
Une nouvelle mesure pour l'évaluation des méthodes de dét...
Vincent Labatut · 2012-10-22 · via math.ST updates on arXiv.org

Community detection can be considered as a variant of cluster analysis applied to complex networks. For this reason, all existing studies have been using tools derived from this field when evaluating community detection algorithms. However, those are not completely relevant in the context of network analysis, because they ignore a part of the available information, and can therefore lead to incorrect interpretations. In this article, we illustrate this limitation, and propose a solution by modifying an existing measure. We then apply it to realistic community-structured networks, in order to perform a first evaluation.---La détection de communautés dans un réseau complexe est une tâche que l'on peut rapprocher de la classification non-supervisée réalisée en fouille de données classique. Pour cette raison, l'évaluation des algorithmes accomplissant ce type de traitement s'est faite jusqu'ici exclusivement au moyen de mesures comparables à celles utilisées en fouille de données. Cependant, dans le cas de l'analyse de réseau, celles-ci n'exploitent pas toute l'information disponible et sont susceptibles de fournir des résultats biaisés. Dans cet article, nous illustrons cette limitation et proposons une solution en modifiant une mesure existante. Nous l'appliquons ensuite à des données réalistes afin d'en effectuer une première évaluation expérimentale.