Computational Implementation of a Model of Category-Theoretic Metaphor Comprehension
- URL: http://arxiv.org/abs/2604.10035v1
- Date: Sat, 11 Apr 2026 05:14:39 GMT
- Title: Computational Implementation of a Model of Category-Theoretic Metaphor Comprehension
- Abstract summary: This study develops a computational implementation for a model of metaphor comprehension based on the theory of indeterminate natural transformation.<n>The outputs of the algorithms are evaluated with three measures: data-fitting with experimental data, the systematicity of the metaphor comprehension result, and the novelty of the comprehension.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this study, we developed a computational implementation for a model of metaphor comprehension based on the theory of indeterminate natural transformation (TINT) proposed by Fuyama et al. We simplified the algorithms implementing the model to be closer to the original theory and verified it through data fitting and simulations. The outputs of the algorithms are evaluated with three measures: data-fitting with experimental data, the systematicity of the metaphor comprehension result, and the novelty of the comprehension (i.e. the correspondence of the associative structure of the source and target of the metaphor). The improved algorithm outperformed the existing ones in all the three measures.
Related papers
- GUT-IS: A Data-Driven Approach to Integrating Constructs and Their Relations in Information Systems [0.0]
We present an approach that aims at the integration of structural equation models into a unified model.<n>We use a combination of task-adapted text embeddings and clustering to produce a candidate set of construct groupings.<n>We select the optimal solution using a loss function that explicitly trades off semantic purity and parsimony in the number of clusters.
arXiv Detail & Related papers (2026-05-18T15:44:43Z) - Structural Ranking of the Cognitive Plausibility of Computational Models of Analogy and Metaphors with the Minimal Cognitive Grid [0.0]
The Minimal Cognitive Grid (MCG) is a framework created to evaluate the cognitive plausibility of artificial systems.<n>We present a formal and quantitative operationalization of the MCG framework.
arXiv Detail & Related papers (2026-05-02T10:08:10Z) - Second-order AAA algorithms for structured data-driven modeling [0.0]
We present three data-driven modeling approaches for the construction of dynamical systems with second-order differential structure directly from frequency domain data.<n>Based on the second-order structured barycentric form, we extend the well-known Adaptive Antoulas-Anderson algorithm to the case of second-order systems.
arXiv Detail & Related papers (2025-06-02T20:34:18Z) - A resource-efficient model for deep kernel learning [0.0]
There are various approaches for accelerate learning computations with minimal loss of accuracy.
We describe a model-level decomposition approach that combines both the decomposition of the operators and the decomposition of the network.
We perform a feasibility analysis on the resulting algorithm, both in terms of its accuracy and scalability.
arXiv Detail & Related papers (2024-10-13T17:11:42Z) - Surprisal Driven $k$-NN for Robust and Interpretable Nonparametric
Learning [1.4293924404819704]
We shed new light on the traditional nearest neighbors algorithm from the perspective of information theory.
We propose a robust and interpretable framework for tasks such as classification, regression, density estimation, and anomaly detection using a single model.
Our work showcases the architecture's versatility by achieving state-of-the-art results in classification and anomaly detection.
arXiv Detail & Related papers (2023-11-17T00:35:38Z) - Bridging Neural and Symbolic Representations with Transitional Dictionary Learning [4.326886488307076]
This paper introduces a novel Transitional Dictionary Learning (TDL) framework that can implicitly learn symbolic knowledge.<n>We propose a game-theoretic diffusion model to decompose the input into visual parts using the dictionaries learned by the Expectation Maximization (EM) algorithm.<n> Experiments are conducted on three abstract compositional visual object datasets.
arXiv Detail & Related papers (2023-08-03T19:29:35Z) - A Recursive Bateson-Inspired Model for the Generation of Semantic Formal
Concepts from Spatial Sensory Data [77.34726150561087]
This paper presents a new symbolic-only method for the generation of hierarchical concept structures from complex sensory data.
The approach is based on Bateson's notion of difference as the key to the genesis of an idea or a concept.
The model is able to produce fairly rich yet human-readable conceptual representations without training.
arXiv Detail & Related papers (2023-07-16T15:59:13Z) - Enriching Disentanglement: From Logical Definitions to Quantitative Metrics [59.12308034729482]
Disentangling the explanatory factors in complex data is a promising approach for data-efficient representation learning.
We establish relationships between logical definitions and quantitative metrics to derive theoretically grounded disentanglement metrics.
We empirically demonstrate the effectiveness of the proposed metrics by isolating different aspects of disentangled representations.
arXiv Detail & Related papers (2023-05-19T08:22:23Z) - Distributed Bayesian Learning of Dynamic States [65.7870637855531]
The proposed algorithm is a distributed Bayesian filtering task for finite-state hidden Markov models.
It can be used for sequential state estimation, as well as for modeling opinion formation over social networks under dynamic environments.
arXiv Detail & Related papers (2022-12-05T19:40:17Z) - MINIMALIST: Mutual INformatIon Maximization for Amortized Likelihood
Inference from Sampled Trajectories [61.3299263929289]
Simulation-based inference enables learning the parameters of a model even when its likelihood cannot be computed in practice.
One class of methods uses data simulated with different parameters to infer an amortized estimator for the likelihood-to-evidence ratio.
We show that this approach can be formulated in terms of mutual information between model parameters and simulated data.
arXiv Detail & Related papers (2021-06-03T12:59:16Z) - Estimating leverage scores via rank revealing methods and randomization [50.591267188664666]
We study algorithms for estimating the statistical leverage scores of rectangular dense or sparse matrices of arbitrary rank.
Our approach is based on combining rank revealing methods with compositions of dense and sparse randomized dimensionality reduction transforms.
arXiv Detail & Related papers (2021-05-23T19:21:55Z) - Information Theoretic Meta Learning with Gaussian Processes [74.54485310507336]
We formulate meta learning using information theoretic concepts; namely, mutual information and the information bottleneck.
By making use of variational approximations to the mutual information, we derive a general and tractable framework for meta learning.
arXiv Detail & Related papers (2020-09-07T16:47:30Z) - Model Fusion with Kullback--Leibler Divergence [58.20269014662046]
We propose a method to fuse posterior distributions learned from heterogeneous datasets.
Our algorithm relies on a mean field assumption for both the fused model and the individual dataset posteriors.
arXiv Detail & Related papers (2020-07-13T03:27:45Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.