{"total":53,"rows":[{"id":"2112.09164","title":"High Fidelity Visualization of What Your Self-Supervised Representation Knows About","created":"2021-12-16","cited_by_count":66,"area":null},{"id":"2104.08135","title":"Sharp bounds for the number of regions of maxout networks and vertices of Minkowski sums","created":"2021-04-16","cited_by_count":37,"area":null},{"id":"2211.12312","title":"Interpreting Neural Networks through the Polytope Lens","created":"2022-11-22","cited_by_count":33,"area":"mechinterp"},{"id":"2302.12828","title":"SplineCam: Exact Visualization and Characterization of Deep Network Geometry and Decision Boundaries","created":"2023-02-24","cited_by_count":31,"area":null},{"id":"2403.11871","title":"The Real Tropical Geometry of Neural Networks","created":"2024-03-18","cited_by_count":24,"area":null},{"id":"2110.08009","title":"MaGNET: Uniform Sampling from Deep Generative Network Manifolds Without Retraining","created":"2021-10-15","cited_by_count":23,"area":null},{"id":"2207.07696","title":"Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural Networks","created":"2022-07-15","cited_by_count":22,"area":null},{"id":"2206.08615","title":"On the Number of Regions of Piecewise Linear Neural Networks","created":"2022-06-17","cited_by_count":21,"area":null},{"id":"2211.01340","title":"POLICE: Provably Optimal Linear Constraint Enforcement for Deep Neural Networks","created":"2022-11-02","cited_by_count":19,"area":null},{"id":"2205.06926","title":"Toward a Geometrical Understanding of Self-supervised Contrastive Learning","created":"2022-05-13","cited_by_count":17,"area":null},{"id":"2107.00379","title":"On the Expected Complexity of Maxout Networks","created":"2021-07-01","cited_by_count":15,"area":null},{"id":"2306.07212","title":"Polyhedral Complex Extraction from ReLU Networks using Edge Subdivision","created":"2023-06-12","cited_by_count":14,"area":null},{"id":"2312.01648","title":"Characterizing Large Language Model Geometry Helps Solve Toxicity Detection and Generation","created":"2023-12-04","cited_by_count":12,"area":null},{"id":"2202.13216","title":"Adversarial robustness of sparse local Lipschitz predictors","created":"2022-02-26","cited_by_count":11,"area":null},{"id":"2203.11355","title":"Origami in N dimensions: How feed-forward networks manufacture linear separability","created":"2022-03-21","cited_by_count":9,"area":null},{"id":"2206.00228","title":"Lower and Upper Bounds for Numbers of Linear Regions of Graph Convolutional Networks","created":"2022-06-01","cited_by_count":9,"area":null},{"id":"2209.14778","title":"Batch Normalization Explained","created":"2022-09-29","cited_by_count":8,"area":null},{"id":"2605.03601","title":"Most ReLU Networks Admit Identifiable Parameters","created":"2026-05-05","cited_by_count":6,"area":null},{"id":"2101.02338","title":"Max-Affine Spline Insights Into Deep Network Pruning","created":"2021-01-07","cited_by_count":5,"area":null},{"id":"2210.05546","title":"What does a deep neural network confidently perceive? The effective dimension of high certainty class manifolds and their low confidence boundaries","created":"2022-10-11","cited_by_count":5,"area":null},{"id":"2401.11188","title":"Fast and Exact Enumeration of Deep Networks Partitions Regions","created":"2024-01-20","cited_by_count":5,"area":null},{"id":"2104.00219","title":"Fast Jacobian-Vector Product for Deep Networks","created":"2021-04-01","cited_by_count":4,"area":null},{"id":"2505.18023","title":"Time to Spike? Understanding the Representational Power of Spiking Neural Networks in Discrete Time","created":"2025-05-23","cited_by_count":4,"area":null},{"id":"2202.02471","title":"Few-shot Learning as Cluster-induced Voronoi Diagrams: A Geometric Approach","created":"2022-02-05","cited_by_count":3,"area":null},{"id":"2206.05997","title":"Analysis of function approximation and stability of general DNNs in directed acyclic graphs using un-rectifying analysis","created":"2022-06-13","cited_by_count":3,"area":null},{"id":"2310.12977","title":"Training Dynamics of Deep Network Linear Regions","created":"2023-10-19","cited_by_count":3,"area":null},{"id":"2604.11962","title":"The Linear Centroids Hypothesis: Features as Directions Learned by Local Experts","created":"2026-04-13","cited_by_count":3,"area":null},{"id":"2103.07020","title":"Max-Linear Regression by Convex Programming","created":"2021-03-12","cited_by_count":2,"area":null},{"id":"2202.07829","title":"Spatial Transformer K-Means","created":"2022-02-16","cited_by_count":2,"area":null},{"id":"2404.06104","title":"A singular Riemannian Geometry Approach to Deep Neural Networks III. Piecewise Differentiable Layers and Random Walks on $n$-dimensional Classes","created":"2024-04-09","cited_by_count":2,"area":null},{"id":"2412.07980","title":"TTVD: Towards a Geometric Framework for Test-Time Adaptation Based on Voronoi Diagram","created":"2024-12-10","cited_by_count":2,"area":null},{"id":"2506.12284","title":"GrokAlign: Geometric Characterisation and Acceleration of Grokking","created":"2025-06-14","cited_by_count":2,"area":null},{"id":"2306.09707","title":"Representation and decomposition of functions in DAG-DNNs and structural network pruning","created":"2023-06-16","cited_by_count":1,"area":null},{"id":"2404.19710","title":"A rank decomposition for the topological classification of neural representations","created":"2024-04-30","cited_by_count":1,"area":null},{"id":"2502.01360","title":"A Quotient Homology Theory of Representation in Neural Networks","created":"2025-02-03","cited_by_count":1,"area":null},{"id":"2605.04946","title":"Training-Time Batch Normalization Reshapes Local Partition Geometry in Piecewise-Affine Networks","created":"2026-05-06","cited_by_count":1,"area":null},{"id":"2605.06218","title":"AffineLens: Capturing the Continuous Piecewise Affine Functions of Neural Networks","created":"2026-05-07","cited_by_count":1,"area":null},{"id":"2606.07728","title":"Characterizing the Discrete Geometry of ReLU Networks","created":"2026-06-05","cited_by_count":1,"area":null},{"id":"2101.06940","title":"Learning DNN networks using un-rectifying ReLU with compressed sensing application","created":"2021-01-18","cited_by_count":0,"area":null},{"id":"2106.07683","title":"Extracting Global Dynamics of Loss Landscape in Deep Learning Models","created":"2021-06-14","cited_by_count":0,"area":null},{"id":"2207.14202","title":"Progressive Voronoi Diagram Subdivision: Towards A Holistic Geometric Framework for Exemplar-free Class-Incremental Learning","created":"2022-07-28","cited_by_count":0,"area":null},{"id":"2209.14978","title":"Enumeration of max-pooling responses with generalized permutohedra","created":"2022-09-29","cited_by_count":0,"area":null},{"id":"2302.10895","title":"CQnet: convex-geometric interpretation and constraining neural-network trajectories","created":"2023-02-09","cited_by_count":0,"area":null},{"id":"2408.04809","title":"On the Geometry of Deep Learning","created":"2024-08-09","cited_by_count":0,"area":null},{"id":"2410.22347","title":"GleanVec: Accelerating vector search with minimalist nonlinear dimensionality reduction","created":"2024-10-14","cited_by_count":0,"area":null},{"id":"2412.18005","title":"Combinatorial Regularity for Relatively Perfect Discrete Morse Gradient Vector Fields of ReLU Neural Networks","created":"2024-12-23","cited_by_count":0,"area":null},{"id":"2507.14268","title":"Fitting Generalized Power Diagrams to 3D Image Data: A Prerequisite for Virtual Materials Testing","created":"2025-07-18","cited_by_count":0,"area":null},{"id":"2510.24466","title":"Non-Singularity of the Gradient Descent map for Neural Networks with Piecewise Analytic Activations","created":"2025-10-28","cited_by_count":0,"area":null},{"id":"2602.03846","title":"PLATE: Plasticity-Tunable Efficient Adapters for Geometry-Aware Continual Learning","created":"2026-02-03","cited_by_count":0,"area":null},{"id":"2605.08464","title":"The Geometric Structure of Models Learning Sparse Data","created":"2026-05-08","cited_by_count":0,"area":null},{"id":"2607.10578","title":"Laguerre Geometry for Interpreting Large Language Models","created":"2026-07-12","cited_by_count":0,"area":null},{"id":"2609.32695","title":"Affine Geometry of Gaussian ReLU Networks via Conditional Kac-Rice Formulas","created":"2026-09-26","cited_by_count":0,"area":null},{"id":"2609.33940","title":"Behavioral Monitoring of JEPA World Models with Jacobian Centroids","created":"2026-09-27","cited_by_count":0,"area":"wm"}],"next_cursor":null}