MonoKAN:经过认证的单调的科尔摩戈罗夫-阿诺德网络
Alejandro Polo-Molina1, David Alfaya2, Jose Portela3
1Institute for Research in Technology (IIT), ICAI School of Engineering, Universidad Pontificia Comillas, C/del Rey Francisco 4, Madrid, Madrid, 28008, Spain.
概括
我们介绍MonoKAN,这是一个新的人工神经网络 (ANN) 架构,增强可解释AI (XAI). 莫诺坎实现了认证的部分单调性和改进的可解释性,优于现有的单调模型.
科学领域:
- 人工智能的人工智能
- 机器学习 机器学习
- 可解释的人工智能 (XAI)
背景情况:
- 人工神经网络 (ANN) 在模式识别方面表现出色,但缺乏可解释性.
- 可解释的人工智能 (XAI) 方法提高了透明度,但单独的可解释性往往不足以满足关键应用.
- 部分单调性约束在某些领域是至关重要的,但传统的ANN在保持可解释性的情况下努力满足这些要求.
研究的目的:
- 引入一种新的ANN架构,即MonoKAN,它增强了可解释性,并实现了认证的部分单调性.
- 解决ANN中现有的单调方法的局限性.
- 为需要专家强加约束的应用提供更透明,更可靠的AI模型.
主要方法:
- 在Kolmogorov-Arnold网络 (KAN) 框架的基础上开发了MonoKAN架构.
- 使用的立方赫尔米特线条具有确保单调性的条件.
- 在线线组合中使用正权重,以保持单调的关系.
主要成果:
- 与传统的ANN和现有的单调模型相比,MonoKAN显示了增强的解释性.
- 该架构实现了认证的部分单调性.
- 实验结果显示,对基准的预测性能有所改善,性能优于最先进的单调多层感知器 (MLP).
结论:
- 对于开发可解释和可靠的单调ANN来说,MonoKAN提供了一个有前途的解决方案.
- 这种新的架构平衡了预测准确性与关键的透明度和约束满足.
- 莫诺坎 (MonoKAN) 通过提供对认证部分单调性的实用方法来推进可解释人工智能的领域.
相关概念视频
01:25Network Function of a Circuit
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Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
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01:19Routh-Hurwitz Criterion II
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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
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01:15Routh-Hurwitz Criterion I
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Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
514
01:24Sequence Networks of Rotating Machines
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
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01:24BIBO stability of continuous and discrete -time systems
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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
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01:23Linear time-invariant Systems
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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
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