Cover Image

The Geometry of Certainty: Recursive Topological Condensation and the Limits of Inference

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Li, Xin
Format:	Preprint
Published:	2025
Subjects:	Neurons and Cognition
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Geometry of Abstraction: Continual Learning via Recursive Quotienting
by: Li, Xin
Published: (2025)

On the Arrow of Inference
by: Li, Xin
Published: (2024)

The Homological Brain: Parity Principle and Amortized Inference
by: Li, Xin
Published: (2025)

Memory-Amortized Inference: A Topological Unification of Search, Closure, and Structure
by: Li, Xin
Published: (2025)

Metric-Topology Factorization: A Computational Framework for Hippocampal-Neocortical Intelligence
by: Li, Xin
Published: (2026)

Inverted Inference and Recursive Bootstrapping: A Primal-Dual Theory of Structured Cognition
by: Li, Xin
Published: (2024)

Ghost in the Machine: Examining the Philosophical Implications of Recursive Algorithms in Artificial Intelligence Systems
by: Jegels, Llewellin RG
Published: (2025)

The Topology and Geometry of Neural Representations
by: Lin, Baihan, et al.
Published: (2023)

Beyond Turing: Memory-Amortized Inference as a Foundation for Cognitive Computation
by: Li, Xin
Published: (2025)

Limitations of Proprioceptive Working Memory
by: Callaghan, Caitlin, et al.
Published: (2025)

Imaging the Topology of Dynamic Brain Connectivity
by: He, Peilin, et al.
Published: (2025)

Topological Origin of the Diversity of Timescales in Recurrent Neural Circuits
by: Zenari, Marco, et al.
Published: (2026)

Geometric Hyperscanning of Affect under Active Inference
by: Hinrichs, Nicolas, et al.
Published: (2025)

On the Minimal Theory of Consciousness Implicit in Active Inference
by: Whyte, Christopher J., et al.
Published: (2024)

Cognitive Field Theory of Learning, Inference, and Emergence
by: Chae, Byung Gyu
Published: (2026)

Not Even Wrong: On the Limits of Prediction as Explanation in Cognitive Science
by: Orr, Mark, et al.
Published: (2025)

Multi-network Topology Underlying Individual Language Learning Success
by: Song, Peilun, et al.
Published: (2025)

Quantification of Planar Cortical Magnification with Optimal Transport and Topological Smoothing
by: Xiong, Yujian, et al.
Published: (2025)

Neural Receptive Fields, Stimulus Space Embedding and Effective Geometry of Scale-Free Networks
by: Tiselko, Vasilii, et al.
Published: (2025)

Geometry of color perception. Part 1: Structures and metrics of a homogeneous color space
by: Provenzi, Edoardo
Published: (2025)

Evaluation of "As-Intended" Vehicle Dynamics using the Active Inference Framework
by: Kidera, Kazuharu, et al.
Published: (2025)

Topological Embedding of Human Brain Networks with Applications to Dynamics of Temporal Lobe Epilepsy
by: Chung, Moo K., et al.
Published: (2024)

Attractive and Repulsive Perceptual Biases Naturally Emerge in Generative Adversarial Inference
by: Jeon, Hyun-Jun, et al.
Published: (2025)

Simulation-based Inference of Developmental EEG Maturation with the Spectral Graph Model
by: Bernardo, Danilo, et al.
Published: (2024)

Modeling motor control in continuous-time Active Inference: a survey
by: Priorelli, Matteo, et al.
Published: (2023)

Learning Discrete Successor Transitions in Continuous Attractor Networks: Emergence, Limits, and Topological Constraints
by: Brownell, Daniel
Published: (2026)

Gravity Prior and Temporal Horizon Shape Interceptive Behavior under Active Inference
by: Russo, Marta, et al.
Published: (2025)

Polyphonic Intelligence: Constraint-Based Emergence, Pluralistic Inference, and Non-Dominating Integration
by: Shaw, Alexander D
Published: (2026)

Cognitive Effort in the Two-Step Task: An Active Inference Drift-Diffusion Model Approach
by: Perez, Alvaro Garrido, et al.
Published: (2025)

Only Brains Align with Brains: Cross-Region Alignment Patterns Expose Limits of Normative Models
by: Höfling, Larissa, et al.
Published: (2026)

A Formalizable Proof of the No-Supervenience Theorem: A Diagonal Limitation on the Viability of Physicalist Theories of Consciousness
by: Reason, Cathy M
Published: (2023)

From Artificial Intelligence to Active Inference: The Key to True AI and 6G World Brain [Invited]
by: Maier, Martin
Published: (2025)

Topological data analysis suggests human brain networks reconfiguration in the transition from a resting state to cognitive load
by: Ernston, Ilya, et al.
Published: (2023)

Correlation of Correlation Networks: High-Order Interactions in the Topology of Brain Networks
by: Li, Qiang, et al.
Published: (2024)

Bridging Cognitive Maps: a Hierarchical Active Inference Model of Spatial Alternation Tasks and the Hippocampal-Prefrontal Circuit
by: Van de Maele, Toon, et al.
Published: (2023)

The stability and instability of the language control network: a longitudinal resting-state functional magnetic resonance imaging study
by: Li, Zilong, et al.
Published: (2024)

Identifying interactions across brain areas while accounting for individual-neuron dynamics with a Transformer-based variational autoencoder
by: Xin, Qi, et al.
Published: (2025)

Spectral Topological Data Analysis of Brain Signals
by: El-Yaagoubi, Anass B., et al.
Published: (2023)

Topological Data Analysis for Multivariate Time Series Data
by: Bourakna, Anass El Yaagoubi, et al.
Published: (2022)

Functional dissociations versus post-hoc selection: Moving beyond the Stockart et al. (2025) compromise
by: Schmidt, Thomas, et al.
Published: (2024)