Publications

A curated, source-checked catalogue of relevant work. Author spellings and titles follow the consulted publication. This is not an exhaustive career bibliography.

Publication catalogue

12 publications

2026Published

WHSDA-AI: Interpretable Walsh-Hadamard Spectral Deviation Analysis for Structured Artificial Intelligence Applications in Banking Sector

Sergo A. Episkoposian, Suren H. Parsyan

Artificial Intelligence and Applications · Online First · published 15 September 2026

A fixed signed-contrast representation with versioned feature semantics, reference deviations and model explanation cards. Its value is tested after selection and supervised integration; the full transform alone preserves Euclidean distances.

MLWalsh
2026Published

Review: Boundedness of Multiplier Operators in the Walsh System

Sergo A. Episkoposian

Analysis and PDE in Developing Countries · Trends in Mathematics, vol. 17 · pp. 273–286

Reviews boundedness criteria for Walsh multipliers in Lᵖ spaces and the relation to a dyadic operator. This is mathematical background for spectral operators, not a predictive-performance guarantee.

MathematicsWalshOperators
2026Published

Greedy Approximation and Universal Functions by Generalized Walsh Systems

Sergo A. Episkoposian

Ghent Analysis and PDE Seminar · Trends in Mathematics, vol. 18 · pp. 13–17

Studies greedy approximation and universal functions for generalized Walsh systems Ψₐ, a ≥ 2, building on correction-theorem methods.

MathematicsWalshApproximation
2026Published

Hybrid audio encryption method based on DCT and Walsh-Hadamard transform using Henon chaotic maps and logistic maps

Sergo Epsikoposyan, Davit Hovhannisyan

International Journal of Electronics and Telecommunications · 72(2), pp. 1–6

Implements a transform-domain audio scheme and reports reconstruction, statistical and computational comparisons. These measurements do not constitute a proof of cryptographic security.

AudioTransformsInformation protection
2026Published

HYBRID AUDIO ENCRYPTION USING WALSH–HADAMARD TRANSFORM, HÉNON MAP, AND ADAPTIVE 3D LOGISTIC–SINE MAP

Davit Hovhannisyan, Sergo Episkoposian

Journal of Mathematical Sciences · Online publication · 13 June 2026; volume/pages not assigned on consulted publisher page

A published audio implementation combining transforms, chaotic permutation and adaptive diffusion, evaluated on VCTK speech. Randomness and differential statistics are treated as experimental diagnostics.

AudioTransformsInformation protection
2026Under review

Stable Dyadic Spectral Fingerprints Based on Haar–Walsh Transforms for Discrete Signal and Data Analysis

Sergo A. Episkoposian

Manuscript under revision · Publication and journal DOI not confirmed

Defines pooled dyadic descriptors and component stability estimates; evaluates an enriched 43-coordinate map. The original ECG split shares a subject across records 201/202, and common-budget controls limit performance claims.

ECGMLHaarWalsh
2026Preprint

Compactness and Spectral Properties of Multiplier Operators in the Walsh System

Michael Ruzhansky, Sergo A. Episkoposian, Rafik Yeghoyan

arXiv:2602.22844 [math.FA] · Version 1 · 26 February 2026 · 14 pages

An unreviewed study of compactness and spectral questions for Walsh multipliers in Lᵖ spaces. Its claims are distinguished from the group’s peer-reviewed results.

MathematicsWalshOperators
2025Published

Enhancing AES Security with the Integration of the Orthogonal Haar Transform

Sergo Episkoposian, Spartak Sirakanyan

CSIT Conference 2025, Yerevan · pp. 191–193

A conference implementation experiment on Haar integration in AES. The title is retained as published; its small-sample entropy and avalanche measurements do not establish improved cipher security.

HaarTransformsInformation protection
2025Published

Secure Data Handling: Performance Analysis of AES, Walsh Transform, and Hybrid Encryption

Svetlana Grigoryan, Sergo Episkoposian

CSIT Conference 2025, Yerevan · Workshop proceedings; pagination and DOI not verified

A proceedings contribution comparing implementations of AES, Walsh-transform processing and hybrid encryption. Listed by the conference with these authors.

TransformsInformation protection
2025Published

Hybrid Cryptographic Algorithm Based on Aes, Rsa and Walsh Transform

Sergo A. Episkoposian, Svetlana A. Grigoryan

Theoretical and Applied Technological Science Review · 3(1) · January–March 2025; pagination not verified

An implementation-oriented hybrid RSA/Walsh study. The DOI identifies a deposited journal article, not a software release or an independent security certification.

WalshTransformsInformation protection
2014Published

Universality properties of Walsh–Fourier series

Sergo Episkoposian, Jürgen Müller

Monatshefte für Mathematik · 175, pp. 511–518

Shows that Walsh–Fourier series of W-continuous functions can have maximal sets of limit functions on small subsets of the unit interval.

MathematicsWalshApproximation
2013Published

On the uniform convergence of the greedy algorithm in a generalized Walsh system

S. A. Episkoposyan

Siberian Mathematical Journal · 54, pp. 810–816

Studies uniform convergence of greedy approximation in generalized Walsh systems after correcting a function on a set of small measure.

MathematicsWalshApproximation