mlsanityData to 7 Oct 2026

Using Laplace Transform To Optimize the Hallucination of Generation Models

arXiv 2603.18022 ↗First posted 5 Mar 2026math.OC cs.AI cs.SYcited by 0

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Abstract (arXiv)

To explore the feasibility of avoiding the confident error (or hallucination) of generation models (GMs), we formalise the system of GMs as a class of stochastic dynamical systems through the lens of control theory. Numerous factors can be attributed to the hallucination of the learning process of GMs, utilising knowledge of control theory allows us to analyse their system functions and system responses. Due to the high complexity of GMs when using various optimization methods, we cannot figure out their solution of Laplace transform, but from a macroscopic perspective, simulating the source response provides a virtual way to address the hallucination of GMs. We also find that the training progress is consistent with the corresponding system response, which offers us a useful way to develop a better optimization component. Finally, the hallucination problem of GMs is fundamentally optimized by using Laplace transform analysis.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 17 of its 35 references that are in the map. First posted on arXiv 5 Mar 2026.

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References · 17

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  12. 2024Understanding Hallucinations in Diffusion Models through Mode Interpolationcited by 87
5 more
  1. 2023CIEM: Contrastive Instruction Evaluation Method for Better Instruction Tuningcited by 69
  2. 2017CycleGAN, a Master of Steganographycited by 63
  3. 2022Low-Pass Filtering SGD for Recovering Flat Optima in the Deep Learning Optimization Landscapecited by 39
  4. 2024Tackling Structural Hallucination in Image Translation with Local Diffusioncited by 21
  5. 2018An improvement of the convergence proof of the ADAM-Optimizercited by 19

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