Universal approximation theorem: Revision history

8 May 2024

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28 April 2024

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26 April 2024

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21 April 2024

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14 April 2024

• curprev 22:5922:59, 14 April 2024‎ Hellacioussatyr talk contribs‎ 37,423 bytes +25‎ →‎Bounded depth and bounded width case undo Tags: Mobile edit Mobile web edit Advanced mobile edit
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17 March 2024

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16 March 2024

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3 March 2024

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• curprev 13:0713:07, 3 March 2024‎ Chris Capoccia talk contribs‎ 37,216 bytes −15‎ reformatted refs undo
• curprev 04:5904:59, 3 March 2024‎ 117.209.61.43 talk‎ 37,231 bytes +349‎ Added note on universal function approximation with non-monotonic activation functions and discovery of biological neurons that violate the monotonicity assumption. undo

5 January 2024

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30 December 2023

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17 December 2023

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1 December 2023

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7 November 2023

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30 October 2023

• curprev 01:2601:26, 30 October 2023‎ Cosmia Nebula talk contribs‎ 35,961 bytes +207‎ →‎Arbitrary-width case: note on original proof undo Tag: Visual edit
• curprev 01:1101:11, 30 October 2023‎ Cosmia Nebula talk contribs‎ 35,754 bytes +696‎ →‎Arbitrary-width case: sketch of proof for ramp function undo Tag: Visual edit

29 October 2023

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5 October 2023

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3 October 2023

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29 September 2023

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11 September 2023

• curprev 22:2522:25, 11 September 2023‎ Keith D talk contribs‎ 34,815 bytes +7‎ →‎top: Fix cite date error undo Tag: AWB
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• curprev 18:5818:58, 11 September 2023‎ Comp.arch talk contribs‎ 34,811 bytes +452‎ Sufficient for activation function to be unbounded (non-polynomial), as with ReLU. The function needs to by non-polynomial, so which are not good activation functions? I believed non-polynomial might be sufficient, was that proven later, or just a necessary condition? Some are not unbounded e.g. sigmoid and tanh, and aren't they also proven good? Periodic (unbounded) activation functions have special properties if you want to approximate periodic functions, out of region, non-periodic can't do. undo Tag: 2017 wikitext editor

7 September 2023

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• curprev 00:0900:09, 7 September 2023‎ MarcBogonovich talk contribs‎ m 34,397 bytes +12‎ Giving "quantitative" an appropriate noun to describe, "quantitative information" undo

6 September 2023

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24 August 2023

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18 August 2023

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15 August 2023

• curprev 20:5220:52, 15 August 2023‎ Arjayay talk contribs‎ m 34,396 bytes −4‎ Duplicate word removed undo
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• curprev 18:4018:40, 15 August 2023‎ Comp.arch talk contribs‎ 34,385 bytes −4‎ No polynomial activation function works, but non-polynomial do work. I wrote the latter in error. undo Tag: 2017 wikitext editor
• curprev 18:3718:37, 15 August 2023‎ Comp.arch talk contribs‎ 34,389 bytes +6‎ No edit summary undo Tag: 2017 wikitext editor
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• curprev 18:3418:34, 15 August 2023‎ Comp.arch talk contribs‎ 34,384 bytes +2,110‎ Rather show wmin ≤ max{dx + 2, dy + 1} for non-polynominal since it only adds at most 1 to the width? It applies to Lp (K, R dy) and I'm not sure, but I think it's more general. "We have obtained the optimal approximation rate for (Hölder) continuous functions approximated by ReLU networks." seems also important. Hölder more general than Lipschitz continuity(?) undo Tags: 2017 wikitext editor Disambiguation links added

12 August 2023

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5 August 2023

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22 July 2023

• curprev 16:5916:59, 22 July 2023‎ Saung Tadashi talk contribs‎ 32,172 bytes +144‎ Updated reference undo Tag: Visual edit