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首页Jim Liang Get started with machine learning 学习笔记 下(311页到520页)
Jim Liang Get started with machine learning 学习笔记 下(311页到520页)
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更新于2023-03-16
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Jim Liang Get started with machine learning 学习笔记 (311页到520页) Jim Liang Get started with machine learning 学习笔记 (311页到520页)
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Created by: Jim Liang
Neural Network
Created by: Jim Liang
:: Neural Network
Structure of Neurons in human brain
The human brain can be described as a biological neural network—an interconnected web of neurons transmitting elaborate patterns of electrical signals. Dendrites
receive input signals and, based on those inputs, fire an output signal via an axon
1
.
1 http://natureofcode.com/book/chapter-10-neural-networks/
Dendrite• : It receives signals from other neurons
• Cell body: It sums all the incoming signals to generate input
Axon• : When the sum reaches a threshold value, neuron fires and the signal travels
down the axon to the other neurons
Created by: Jim Liang
:: Neural Network
The neuron is the basic computational unit of the brain
Neuron , often called a node or unit, receives input from some other neurons, or from an external source and computes an output. Each input has an associated
weight (w), which is assigned on the basis of its relative importance to other inputs. The node applies a function to the weighted sum of its inputs.
The idea is that the synaptic strengths (the weights w) are learnable and control the strength of influence and its direction: excitory (positive weight) or inhibitory
(negative weight) of one neuron on another. In the basic model, the dendrites carry the signal to the cell body where they all get summed. If the final sum is above
a certain threshold, the neuron can fire, sending a spike along its axon
1
.
Artificial neural networks are computing systems inspired by the biological neural networks.
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biological neuron (left) and a common mathematical model (right)
(
x
i
is input,
w
i
is the weight)
Created by: Jim Liang
:: Neural Network
Artificial neural network (ANN)
Inspired by the human brain, an ANN is comprised of a network of artificial neurons (also known as "nodes"). These nodes are connected to each other, and the strength of
their connections to one another is assigned a value based on their strength. If the value of the connection is high, then it indicates that there is a strong connection
1
. The
network is trained by iteratively modifying the strengths of the connections so that given inputs map to the correct response
2
.
1 Source: http://www.saedsayad.com/artificial_neural_network.htm
2Source : Mathworks, Applying Supervised Learning
All these connections have weights associated with them.
W is the weight which represents the strengths of the connections
Input Layer
Output Layer
Hidden Layer 1 Hidden Layer 2
x
1
x
2
x
3
w
1
y
1
y
2
w
n
w
2
Example
A feedforward neural network is an artificial neural
network where connections between the units
do not form a cycle. In this network, the information
moves in only one direction, forward, from the input
nodes, through the hidden nodes (if any) and to the
output nodes. There are no cycles or loops in the
network.
Feedforward Neural Network
Created by: Jim Liang
:: Neural Network
Best Used...
1
• For modeling highly nonlinear systems
• When data is available incrementally and you wish to constantly update the model
• When there could be unexpected changes in your input data
• When model interpretability is not a key concern
1 Source : Mathworks, Applying Supervised Learning
2 Source: https://docs.microsoft.com/en-us/azure/machine-learning/studio/algorithm-choice
The boundaries learned by neural networks can be complex and irregular
This high performance doesn‘t come for
free, though. Neural networks can take a
long time to train, particularly for large
data sets with lots of features. They also
have more parameters than most
algorithms, which means that parameter
sweeping expands the training time a
great deal
2
Example
Towns report rain
Towns report snow
Neural network for classification problem
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