scalability computational problems dimensional numbers
Research gap analysis derived from 6 biology papers in our local library.
The gap
The enhanced subset simulation algorithm is validated on problems with up to 12 random variables (Example 6 with 10 nonnormal variables and Example 7 with 7 variables). Computational scalability and performance degradation characteristics for high-dimensional reliability problems (20+ random variables) using the SSISi algorithm with integrated importance sampling remain unexplored.; The paper does not discuss scalability of the GP-DP optimization approach to problems with larger numbers of...
Research trend
Emerging — attention growing, methods still coalescing.
Supporting evidence — 6 representative gaps
- CRITIC-EDAS Method for Linguistic Picture Fuzzy Soft Sets and Its Application in Decision Making Problem (2026) · doi
The paper does not discuss computational complexity or scalability of the CRITIC-EDAS method when applied to decision-making problems with larger numbers of alternatives and criteria.
Keywords: discuss computational complexity scalability critic edas applied decision making problems larger numbers alternatives criteria - A GP SOLUTION TO COOPERATIVE GAME-DYNAMIC PROGRAMMING OPTIMIZATION (2026) · doi
The paper does not discuss scalability of the GP-DP optimization approach to problems with larger numbers of coalitions or legs, or how computational complexity increases with problem size.
Keywords: discuss scalability optimization approach problems larger numbers coalitions legs computational complexity increases problem size - An enhanced subset simulation algorithm integrating importance sampling for structural reliability analysis (2026) · doi
The enhanced subset simulation algorithm is validated on problems with up to 12 random variables (Example 6 with 10 nonnormal variables and Example 7 with 7 variables). Computational scalability and performance degradation characteristics for high-dimensional reliability problems (20+ random variables) using the SSISi algorithm with integrated importance sampling remain unexplored.
Keywords: subset simulation high-dimensional reliability scalability importance sampling curse of dimensionality - Riemannian Geometry in Multiplicative Analysis: Curvature, Connections, and Isomorphic Structures (2026) · doi
Scalability and computational complexity of the multiplicative operations on higher-dimensional manifolds is not addressed.
Keywords: scalability computational complexity multiplicative operations higher dimensional manifolds addressed - Application of nonintrusive reduced-order model for linear cross-diffusion Schnakenberg system (2026) · doi
The paper does not address the scalability of the method to three-dimensional problems or significantly larger parameter dimensions.
Keywords: address scalability three dimensional problems larger parameter dimensions - An Effective Numerical Approach for Solving Second-Kind Fredholm Integral Equations (2026) · doi
No investigation is provided on the computational complexity and scalability of the method for large values of N or high-dimensional problems.
Keywords: investigation provided computational complexity scalability large values high dimensional problems
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