Skip to search form
Skip to main content
Skip to account menu
Semantic Scholar
Semantic Scholar's Logo
Search 226,035,499 papers from all fields of science
Search
Sign In
Create Free Account
Kolmogorov–Arnold representation theorem
Known as:
Kolmogorov's superposition theorem
, Kolmogorov-Arnold representation theorem
, Nomographic function
In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariable…
Expand
Wikipedia
(opens in a new tab)
Create Alert
Alert
Related topics
Related topics
4 relations
Approximation theory
Generalized additive model
Hilbert's thirteenth problem
Tschirnhaus transformation
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2003
2003
Use of the Kolmogorov's Superposition Theorem and Cubic Splines for Efficient Neural-Network Modeling
B. Igelnik
International Conference on Knowledge-Based…
2003
Corpus ID: 37289163
In this article an innovative neural-network architecture, called the Kolmogorov’s Spline Network (KSN) and based on the…
Expand
1996
1996
Chebyshev approximation by discrete superposition. Application to neural networks
M. Nees
Advances in Computational Mathematics
1996
Corpus ID: 46537543
In this paper, we develop two algorithms for Chebyshev approximation of continuous functions on [0, 1]n using the modulus of…
Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our
Privacy Policy
(opens in a new tab)
,
Terms of Service
(opens in a new tab)
, and
Dataset License
(opens in a new tab)
ACCEPT & CONTINUE