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Found 8 papers, 3 papers with code
Probing the topology of the space of tokens with structured prompts
This article presents a general and flexible method for prompting a large language model (LLM) to reveal its (hidden) token input embedding up to homeomorphism.
The structure of the token space for large language models
Large language models encode the correlational structure present in natural language by fitting segments of utterances (tokens) into a high dimensional ambient latent space upon which the models then operate.
Prospects for inconsistency detection using large language models and sheaves
We demonstrate that large language models can produce reasonable numerical ratings of the logical consistency of claims.
Unsupervised clustering of file dialects according to monotonic decompositions of mixtures
The pattern of messages can be used as the signature of a particular kind of behavior, with the understanding that some messages are likely to co-occur, while others are not.
The Topology of Circular Synthetic Aperture Sonar Targets
A simple theoretical model is developed that yields a precise, yet qualitative, description of the space of echoes.
A Topological Lowpass Filter for Quasiperiodic Signals
This article presents a two-stage topological algorithm for recovering an estimate of a quasiperiodic function from a set of noisy measurements.
Sheaf and duality methods for analyzing multi-model systems
Without referring to the models directly -- only that a model consists of spaces and maps between them -- the most readily apparent feature of a multi-model system is its topology.
Algebraic Topology 18F20, 46M20
Sheaves are the canonical datastructure for sensor integration
A sensor integration framework should be sufficiently general to accurately represent all information sources, and also be able to summarize information in a faithful way that emphasizes important, actionable information.
Algebraic Topology 55N30
