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...

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Mathematics of natural Intelligence

Evgenii Vityaev

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

Ulyana Zubairova

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...

Estimating Importance of Highly Correlated Features Using Matrix Factorization

Alexander Minkin

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...

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

Vadim Eliseev, Aleksandra Yurievna Maksimova

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...

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

Andrey Nechesov, Janne Ruponen, Sergey Barykin

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...

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

Maksim Emelianov

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

Explainable AI for Mathematics: Proofs as Code with Knowledge Graph and Domain Ontology Support

Oli Ataeva, Khalov A., Tuchkova N.

We investigate whether structured knowledge retrieval from a mathematical library's dependency graph can improve neural theorem proving at inference time while maintaining explainability of the retrie...

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

Aleksandra Yurievna Maksimova

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...

Random forest regression and Shapley additive explanation for effective dose rate estimation in high-energy neutron fields based on Bonner spectrometer measurements

Konstantin Chizhov, A. Belyi, M. Starikovskaya

The article proposes a method for assessing the neutron energy spectrum and effective dose rate of personnel based on the readings of a Bonner spectrometer (BSS) for high-energy neutron fields. Neutro...

Application of blurry models for semantic modelling of object domains

Gulnara Yakhyaeva

Semantic modelling plays an important role in data processing, enabling a deep understanding of information and the development of intelligent systems. One of the methods is a four-level model of know...

Implementation of a Cryptographic Hash Function Based on a Deep Neural Network.

Дмитрий Владимирович, Gorin,D

We present a two-layer construction for image hashing. First, a \emph{perceptual} binary code $c(x)$ is derived from a ResNet-18 embedding (after global average pooling, $d=512$) via a linear projecti...

Dynamic Data Classification Based on a Semi-Supervised Local Poisson Label Propagation Method

Constantin

We study semi-supervised classification in a dynamic data-stream setting, where objects and their relations evolve over time while only a small fraction of observations is labeled. Classical graph-bas...

A Systematic Study of Gate Functions in Soft Adaptive Policy Optimization

Egor Denisov, Svetlana Glazyrina, Maksim Kryzhanovskiy, Roman Ischenko

Group Relative Policy Optimization (GRPO) has significantly advanced the training of large language models and enhanced their reasoning capabilities, while it remains susceptible to instability due to...

Interpretable Emotion Attribution in Social Graphs: A Comparative Analysis of Rule-Based, Transformer, and LLM Models

Usman Babayo Gidado, Anton Kolonin

Emotion attribution in social graphs requires inferring directed emotional attitudes between entities in complex, multi-turn dialogues. While transformer models dominate the field, they often lack the...

Improving Fairness in AI-Powered Recrutiment: An Interpretable Resume Screening System

Natalia Agapova, Rustam A. Lukmanov

Modern automated resume screening systems are typically based on neural text classification models that encode a resume as a feature representation and predict a discrete label corresponding to candid...

THE POWER OF TASK-BASED APPROACH IN BUILDING TRUSTWORTHY AI SYSTEMS

Andrey Nechesov, Evgenii Vityaev, Dmitry Sviridenko, Sergey Goncharov

Artificial intelligence systems are now integral to virtually every facet of our lives, exhibiting an ability to reason and solve problems within defined formal frameworks. However, challenges remai...

Hybrid Bi-Level Index for Shortest Paths in Temporal Networks

Maksim

Temporal graphs provide a natural model for dynamic relational data arising in modern AI systems, including event streams, temporal knowledge graphs, interaction networks, and transaction systems. Eff...

Using Knowledge Graph in Adapting Language Model on Mathematical Texts

Oli Ataeva, Tuchkova

The subject of the study is the problem of adapting language models to scientific subject areas. The issues of expanding language models to mathematical subject areas are considered. It is proposed to...

A MONOTONE SYSTEM GENERATOR FOR SOLVING BIG DATA AGGREGATION PROBLEMS

Rifqat Davronov, F.T.Adilova

It is well known that the theory of monotone systems transforms clustering from a global optimization problem (which is often NP-hard) into a successive elimination problem solvable in polynomial time...

Aligning the Number of Parameters with the Number of Linear Regions for Improved Neural Network Approximation

Alex Lecxis

The paper addresses the "black box" problem of neural networks by analyzing the approximation properties of latent layers. It proposes that a key limitation preventing the practical achievement of uni...