Mathematical Models
我们在多模态大语言模型与工业视觉领域的探索与实践。
Chaotic Evolution in Complex Systems
Background The butterfly effect reveals that deterministic equations can produce essentially unpredictable states due to …
Collaborative Modeling in Hybrid Automation
Background Modern automation involves the deep fusion of discrete decision-making and continuous physical execution. …
Combinatorial Optimization & NP-Hardness
Background Problems like TSP, set cover, and knapsack involve search spaces that explode factorially or exponentially. …
Compressive Sensing & Information Sparsity
Background Nyquist-Shannon sampling requires rates over twice the bandwidth. Compressive Sensing (CS) subverts this by …
Cross-scale Multi-physics Coupling
Background Real physical systems in nature rarely follow a single physical law in isolation; rather, they are the result …
Impulsive Control & Non-continuous Scheduling
Background In many systems, control is applied as instantaneous impulses rather than continuous forces. Impulsive …
Logic Algebra & Formal Verification
Background In safety-critical systems, testing cannot prove the absence of errors. Formal verification uses mathematical …
Quantum Reconstruction of Signal Processing
Background Traditional Discrete Fourier Transform (DFT) faces complexity limits with massive data. Quantum Fourier …
Stability Analysis of Switching Systems
Background Switching systems consist of a set of continuous-time subsystems and a logic rule governing the switching …
Stochastic Dynamics & Risk Quantification
Background Real-world dynamical systems are constantly subject to noise—atmospheric turbulence, financial shocks, …