Mathematics & AI

Mathematics & AI

Mathematics & AI is an open-access, peer-reviewed journal at the intersection of mathematics and artificial intelligence. The journal publishes original research in mathematical foundations of AI, machine learning theory, optimization, statistical learning, neural network analysis, computational mat...

Recent Articles

Monotonic System Framework for Globally Optimal Structuring of Complex Data

DOI: 10.66693/mathai.1039

The structuring and partitioning of large-scale complex datasets is often limited by the computational complexity of combinatorial optimization, which frequently yields suboptimal, locally extremal so...

Task-Based Engineering

DOI: 10.66693/mathai.1038

The article describes the main methodological principles of a new scientific-engineering discipline — task-based engineering, which represents a synergistic integration of the task-based approach, eng...

Estimating Importance of Highly Correlated Features Using Matrix Factorization

DOI: 10.66693/mathai.1026

Hyperspectral images contain a large volume of source data that exhibits high correlations along neighboring spectral bands. This makes it necessary to select the most informative features among corre...

Mathematics of natural Intelligence

DOI: 10.66693/mathai.1024

In the process of evolution, the brain has achieved such perfection that artificial intelligence systems do not have and which needs its own mathematics. The concept of cognitome, introduced by the...

Operator Learning for High-Dimensional Symplastic Growth Dynamics with Stochastic Cell Division

DOI: 10.66693/mathai.1030

We study operator learning for a nonlinear dynamical system describing symplastic plant leaf growth with multiple interacting cell files and stochastic cell division. The biomechanical model consists...

Detecting Hallucinations In LLM Responses Using Token-level Log-probability Signals

DOI: 10.66693/mathai.1025

Large language models (LLMs) have proven themselves to be powerful tools for many natural language tasks — from being a high-quality text classifiers to acting as agents in complex retrieval-augmented...

AI-Based Detection of Unwanted Behavior: The Paradoxical Effect of Standard Data Augmentation in Video Surveillance

DOI: 10.66693/mathai.1004

Public spaces and commercial environments face persistent challenges regarding human misconduct. Traditional surveillance remains passive, while manual monitoring is labor-intensive and inefficient. C...

The Evolution of Mind: Emergence of Collective Intelligence through Logical-Probabilistic Knowledge Dynamics in Multi-Agent ENIGMA Metaverse Ecosystems

DOI: 10.66693/mathai.1007

Modern metaverse platforms, populated by heterogeneous multi-agent systems (MAS), generate vast streams of experiential data whose epistemic value remains largely untapped. This paper introduces the E...

OLORA+: A HYBRID APPROACH TO PARAMETER- EFFICIENT FINE-TUNING OF LARGE LANGUAGE MODELS

DOI: 10.66693/mathai.1009

Parameter-Efficient Fine-Tuning (PEFT) is essential for adapting Large Language Models (LLMs) under resource constraints, yet existing methods often treat initialization and optimization as separate c...

Hybrid UAV Hazard Detection Approach Based on Open-Vocabulary Detection and MIVAR Expert System

DOI: 10.66693/mathai.1022

The integration of neural network methods in computer vision with logical infer- ence based on a Mivar expert system allows leveraging the advantages of both paradigms: high efficiency in processing...