∫ f(x)dx ∇²u = 0 IJPACM

International Journal of Pure, Applied and Computational Mathematics (IJPACM)

e-ISSN: 2348-0084 • CC BY 4.0

CC BY 4.0 p-ISSN: 2348-0076 • e-ISSN: 2348-0084 DOI: 10.5555

Pioneering Research in Pure, Applied & Computational Mathematics

International Journal of Pure, Applied and Computational Mathematics (IJPACM) is a peer-reviewed, open-access scholarly periodical dedicated to publishing groundbreaking theoretical proofs, high-performance algorithms, and mathematical modeling.

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IJPACM Vol 1

Volume 1, Issue 2 (Current Issue - Summer 2026)

June 2026

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CC BY 4.0 Open Access
Computational Mathematics & Numerical Analysis Vol 1, Issue 2 (2026)
DOI: 10.5555/ijpacm.2026.1.2.01

Scalable Distributed Tensor Decomposition for Multi-Omics Clinical Phenotyping

High-Performance Asynchronous Factorization on Heterogeneous GPU Clusters

Authors: Author User Prof. Sarah Chen System Administrator

High-throughput multi-omics sequencing generates multi-way tensor arrays exceeding petabyte scales, creating urgent computational bottlenecks for clinical discovery. We introduce Distributed Tucker-CP (DT-CP), an asynchronous lock-free tensor factorization algorithm optimized for CUDA/ROCm memory hierarchies with adaptive communication pipelining. On a 256-node GPU cluster, DT-CP demonstrates a 14.8x acceleration over state-of-the-art MPI-Tensor frameworks, processing 4.2 billion patient feature interactions in 18.4 minutes while maintaining 99.4% spectral accuracy. DT-CP unlocks real-time multi-omics phenotyping in clinical genomics pipelines, providing an open-source mathematical infrastructure for precision medicine.

Tensor Decomposition Numerical Linear Algebra High-Performance Computing
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Journal Focus Areas

  • Applied Mathematics & Modeling: Mathematical formulations, differential equations, dynamical systems, and modeling in engineering and natural sciences.
  • Computational Mathematics & Numerical Analysis: Novel numerical algorithms, finite element methods, high-performance parallel solvers, and tensor decompositions.
  • Discrete Mathematics & Cryptography: Combinatorics, graph algorithms, lattice cryptography, and quantum computational foundations.
  • Pure Mathematics & Modern Algebra: Original research articles establishing rigorous mathematical theorems, abstract algebraic structures, topology, and functional analysis.
Call For Papers / Announcement

Call for Papers: Volume 2, Issue 1 (2026). Submissions are currently open for peer review in Theoretical Proofs, Computational Fluid Dynamics, and Quantum Cryptography.

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