Complex Mathematical Operations TRIZ Cases
- Information Processing Device Solving Combination Optimization via Ising Machine
An information processing device generates combination optimization problems and utilizes a solver device to find solutions.
- Streaming Compiler for Automatic Adjoint Differentiation
A streaming compiler generates code via a linearized computational map to enable automatic adjoint differentiation.
- SIMD Processor Acceleration for Ordinary Differential Equation Solvers
Parallelizing Runge-Kutta calculations via SIMD registers accelerates ordinary differential equation solving while maintaining high numerical accuracy.
- GPU Kernel Register Count Optimization for GEMM
Pre-compiles multiple kernels with varying register ceilings to identify the fastest execution path, resolving sub-optimal default allocation bottlenecks.
- Correction Circuit for Function Approximation Outliers
A correction circuit identifies and fixes outliers in function approximation datasets using logical predicates.
- Accelerating CP Decomposition via WHT Sampling
A method accelerates canonical polyadic decomposition using Walsh-Hadamard transforms and random sampling.
- Cognitive Network Management via AI Golden Records
A cognitive network management system normalizes heterogeneous data into golden records using a multi-modal AI engine for real-time orchestration.
- Recursive Discrete Fourier Transform Device Throughput Optimization
Input decimation in a recursive discrete Fourier transform device minimizes time complexity for real-time broadband processing.
- Reusable Optimization Model Framework for NP-Hard Problems
A framework creates reusable optimization models by manipulating entities like constraints and variables to solve complex problems.
- Hybrid Lookup Table for Function Approximation
A hybrid lookup table stores coefficients of polynomials in factored form to support efficient function approximation across multiple processors.
- Equation Editor Function Insertion via GUI State Detection
A software system inserts equation functions based on detected cursor position and text selection within the graphical user interface.
- Bezier Simplex Robustness Evaluation for Pareto Fronts
Fitting a Bezier simplex to sparse Pareto front data allows calculating gradients that quantify solution robustness against noise in high-dimensional spaces.
- Optimizing Target Functions via Candidate Program Search
A computational system generates optimized computer programs to approximate target functions for execution on a target processor.
- Multi-tenant Solver Execution Service for Optimization
A multi-tenant solver execution service provides managed infrastructure for defining and solving large-scale optimization problems.
- 3D Circuit Architecture Spatial Alignment Matrix Multiplication
Spatial alignment of vertically stacked data tiers eliminates software transpose operations and reduces data movement volume for matrix multiplication.
- Parallel LU Factorization Panel Integration Load Balancing
Integrating row and column panels maintains load balancing while increasing computational efficiency during parallel LU factorization.
- Consumer Surplus Factor Computation System
A statistical system computes Consumer Surplus Factor using regression and orthogonalization techniques.
- Relaxation Data Analysis Using Heavy-Tail Function Fitting
A system converts relaxation response data to linear-amplitude versus log-time format for processing.
- Requirement-Driven DFT Unit Design for FPGA Throughput
A requirement-driven discrete Fourier transform unit dynamically allocates computational engines to match target throughput rates.
- Hue-Plane Preserving Color Correction Using Weighted Constrained Matrices
Weighted constrained 3x3 matrices preserve hue planes during RGB to XYZ transformation, resolving instability in saturated colors and varying illuminants.
- Consensus Graph Learning for Multi-View Clustering
A consensus graph learning method constructs a consistent similarity graph from spectral embedding features.
- Invertible Neural Networks for High-Dimensional Parameter Optimization
Compress high-dimensional parameters via invertible neural networks to explore diverse solutions, reducing computational cost for multi-objective optimization.
- GPU-Accelerated LU and GMRES Solvers for Electromagnetic Systems
Segmenting dense N×N matrices into blocks allows parallel GPU processing of LU and GMRES solvers, accelerating electromagnetic system analysis.
- Adaptive Sampling Transient Change Detector
A transient change detector employs adaptive sampling to switch between sparse and dense modes.
- Partial Correlation Calculation for Multi-Tier Call Relationship Precision
A correlation coefficient calculation device computes partial coefficients to isolate direct call relationships between processing types in multi-tier systems.
- Neutron Energy Spectrum Normalization for Cargo Inspection
Radiation detector produces neutron energy spectra and normalizes them using gamma count rates to identify unknown sources in cargo containers.
- Compiler Vector-Matrix Combine for Parallel Processing Unit Threads
Compiler combines input vectors into matrices to resolve Tensor Core utilization limits in parallel processing units.
- Smart GEMM Kernels for GPU Matrix Multiplication
Smart kernels select variable-dimension and constant-K configurations to accelerate general matrix-matrix multiplication on graphics processors.