File:Expressivity matrix of an artificial binary neuron.png
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Captions
Captions
Expressivity matrix of an artificial binary neuron
Summary[edit]
| Description |
English: This is a representation of all possible states of an artificial binary neuron. Darkblue and white pixels correspond to active and nonactive neurons state, respectively. The neuron takes input from a binary {-1, 1} vector x of size 11 (for this picture). The neuron also has 11 binary {-1, 1} synapses (w, weights, connections). The number of possible input and weight vectors is 2^11=2048. The color of the pixel (i, j) shows the state of the neuron for the i-th input vector x (numbered from 1 to 2048) and for the j-th weight vector (numbered from 1 to 2048). (hence the resolution of the image is 2048x2048).
Neuron becomes active if the sum of input values multiplied by weights (wx) is greater or equal to zero.
Українська: Це зображення всіх можливих станів штучного бінарного нейрона. Темно-сині та білі пікселі відповідають активним та не активним станам нейрона відповідно. Нейрон приймає на вхід бінарний {-1, 1} вектора x розміром 11 (для цього зображення). Нейрон також має 11 бінарних {-1, 1} синапсів w (ваг або зв’язків). Кількість можливих станів вхідного вектора та вектора зв'язів становить 2 ^ 11 = 2048. Колір пікселя (i, j) показує стан нейрона для i-го вхідного вектора x (нумерованого від 1 до 2048) та для j-го вектора зв'язків (нумерованого від 1 до 2048). Тому, розширення зображення 2048x2048.
Нейрон стає активним, якщо сума вхідних значень, помножена на стани зв'язків (wx), більша або дорівнює нулю. English: This is a representation of all possible states of an artificial binary neuron. Darkblue and white pixels correspond to active and nonactive neurons state, respectively. The neuron takes input from a binary {-1, 1} vector x of size 11 (for this picture). The neuron also has 11 binary {-1, 1} synapses (w, weights, connections). The number of possible input and weight vectors is 2^11=2048. The color of the pixel (i, j) shows the state of the neuron for the i-th input vector x (numbered from 1 to 2048) and for the j-th weight vector (numbered from 1 to 2048). (hence the resolution of an image is 2048x2048). Neuron becomes active if the sum of input values multiplied by weights (wx) is greater or equal to zero. |
| Date | |
| Source | Own work |
| Author | Viacheslav Osaulenko |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 4.0 International license.
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This image was uploaded as part of Science Photo Competition 2020 in Ukraine. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:24, 21 January 2021 | | 2,048 × 2,048 (276 KB) | Hronos~ukwiki (talk | contribs) | Fixed the ordering of inputs and weights. Now the inputs and weights indeed are ordered from 0000...000 to 1111...111 from the top left corner. |
| 18:44, 19 November 2020 |  | 2,048 × 2,048 (320 KB) | Hronos~ukwiki (talk | contribs) | Uploaded own work with UploadWizard |
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