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Start 5 July 2026 08:34

Einde 5 July 2026

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人工智能中的数学算法

Explore mathematical algorithms underpinning AI, covering ill-posed inverse problems, functional analysis, frequency domain methods, and stable forecasting to build a solid theoretical and practical AI foundation.
Harbin Institute of Technology via XuetangX

Harbin Institute of Technology

348 Cursussen


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Overzicht

Focus on teaching the mechanisms of artificial intelligence algorithms, cultivate students' awareness of independent AI learning at the current stage, equip students with a solid theoretical foundation in artificial intelligence and the ability to solve practical problems with relevant methodologies, and lay a foundational knowledge of AI algorithms for their major studies.

Lesprogramma

  • Mathematical Algorithm in AI Introduction
  • Chapter 1 What is an Ill-posed Inverse Problem Overview and Electrical Engineering Motivation
  • 1.1 What is an Ill-posed Inverse Problem Overview and Electrical Engineering Motivation(Ⅰ)
    1.2 What is an Ill-posed Inverse Problem Overview and Electrical Engineering Motivation(Ⅱ)
    1.3 What is an Ill-posed Inverse Problem Overview and Electrical Engineering Motivation(Ⅲ)
  • Chapter 2 Linear Integral Equations of the First Kind Fredholm and Volterra Theory
  • 2.1 Linear Integral Equations of the First Kind Fredholm and Volterra Theory(Ⅰ)
    2.2 Linear Integral Equations of the First Kind Fredholm and Volterra Theory(Ⅱ)
    2.3 Linear Integral Equations of the First Kind Fredholm and Volterra Theory(Ⅲ)
    2.4 Linear Integral Equations of the First Kind Fredholm and Volterra Theory(Ⅳ)
  • Chapter 3 Functional Analysis Tools Norms, Inner Products, Compact Operators, and Delta Functions
  • 3.1 Functional Analysis Tools Norms, Inner Products, Compact Operators, and Delta Functions(Ⅰ)
    3.2 Functional Analysis Tools Norms, Inner Products, Compact Operators, and Delta Functions(Ⅱ)
    3.3 Functional Analysis Tools Norms, Inner Products, Compact Operators, and Delta Functions(Ⅲ)
  • Chapter 4 Frequency Domain Methods for Inverse Problems in DSP
  • 4.1 Frequency Domain Methods for Inverse Problems in DSP(Ⅰ)
    4.2 Frequency Domain Methods for Inverse Problems in DSP(Ⅱ)
    4.3 Frequency Domain Methods for Inverse Problems in DSP(Ⅲ)
    4.4 Frequency Domain Methods for Inverse Problems in DSP(Ⅳ)
  • Chapter 5 Professor Speech Script
  • 5.1 Professor Speech Script(Ⅰ)
    5.2 Professor Speech Script(Ⅱ)
    5.3 Professor Speech Script(Ⅲ)
    5.4 Professor Speech Script(Ⅳ)
    5.5 Professor Speech Script(Ⅴ)
  • Chapter 6 Forecasting as an Inverse Problem Why It Is Ill-Posed
  • 6.1 Forecasting as an Inverse Problem Why It Is Ill-Posed(Ⅰ)
    6.2 Forecasting as an Inverse Problem Why It Is Ill-Posed(Ⅱ)
    6.3 Forecasting as an Inverse Problem Why It Is Ill-Posed(Ⅲ)
    6.4 Forecasting as an Inverse Problem Why It Is Ill-Posed(Ⅳ)
    6.5 Forecasting as an Inverse Problem Why It Is Ill-Posed(Ⅴ)
    6.6 Forecasting as an Inverse Problem Why It Is Ill-Posed(Ⅵ)
  • Chapter 7 Stable Forecasting in Practice Case Studies from Power and EnergySystems
  • 7.1 Stable Forecasting in Practice Case Studies from Power and EnergySystems(Ⅰ)
    7.2 Stable Forecasting in Practice Case Studies from Power and EnergySystems(Ⅱ)
    7.3 Stable Forecasting in Practice Case Studies from Power and EnergySystems(Ⅲ)
  • Chapter 8 Inverse Problems for Energy Community Mathematical Modeling
  • 8.1 Inverse Problems for Energy Community Mathematical Modeling(Ⅰ)
    8.2 Inverse Problems for Energy Community Mathematical Modeling(Ⅱ)
    8.3 Inverse Problems for Energy Community Mathematical Modeling(Ⅲ)
  • Chapter 9 Robust Numerical Methods for BoundaryValue Problems
  • 9.1 Robust Numerical Methods for BoundaryValue Problems(Ⅰ)
    9.2 Robust Numerical Methods for BoundaryValue Problems(Ⅱ)
  • Final Examination

Gegeven door

LiGuo Wang, Denis Sidorov, and Aliona Dreglea


Vakgebieden

Artificial Intelligence