LESSON 12 - Associative memories Flashcards

1
Q

What were the breakthroughs in the 80s related to neural networks, and how did they contribute to unsupervised learning?

A

In the 80s, breakthroughs like Hopfield networks and backpropagation allowed training networks with hidden units and carrying out supervised learning, contributing to the development of more complex unsupervised learning models.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

In unsupervised learning, what is the primary goal of clustering, and what examples of clustering were discussed?

A

The primary goal of clustering in unsupervised learning is to group patterns with similar structures. Examples include clustering male-female faces and personality types.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

How is the Hebb rule applied in associative memories, and what is the significance during recall?

A

The Hebb rule, involving the multiplication of the learning rate by the co-activation of two neurons, is applied during associative memories to increase connection strength during learning. During recall, it helps in associating incomplete information, such as recalling faces based on shapes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is the approach to storing binary patterns in neural networks, and how is noisy pattern recall handled?

A

Binary patterns are stored by encoding images as 1s and 0s in neurons corresponding to pixels. For noisy pattern recall, the network aims to recall the original image even with injected noise.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

How did the perspective shift from deterministic to probabilistic systems influence neural networks?

A

The shift from deterministic to probabilistic systems considered neural networks as probabilistic entities, mirroring physical systems. This perspective led to exploring the Ising model for studying phase transitions.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Explain the frustration concept in physical systems, and why is it considered useful?

A

Frustration in physical systems arises when they cannot reach a completely uniform state. In neural networks and the brain, frustration is useful as it introduces entropy and diversity of signals, enabling better information encoding.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

How did Hopfield extend simple physical models to stimulate neural networks, and what was the analogy drawn?

A

Hopfield extended simple physical models, like the Ising model, to stimulate neural networks. The analogy was drawn between physical material and neurons.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

What is the architecture of a Hopfield network, and what are its limitations?

A

The architecture of a Hopfield network is fully recurrent with visible neurons representing pixels. It lacks hidden units, limiting its expressiveness.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What is the core of Hopfield networks, and how is the energy function defined?

A

The core of Hopfield networks is the energy function, defined as the weighted sum of co-activating neurons. The energy function has multiple minima, each corresponding to an attractor.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

How is the dynamics of a Hopfield network defined, and what activates neurons during the process?

A

The dynamics involve a step function, similar to a perceptron, where neurons activate if the weighted sum exceeds a threshold. Learning involves using a Hebbian rule to set the weights.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

What is the goal of learning in Hopfield networks, and what role does energy play?

A

The goal of learning is to shape the energy function, creating attractors for local energy minima. After learning, low energy corresponds to meaningful patterns, facilitating unsupervised learning.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

How can Hopfield networks be adapted for supervised learning, and what elements can be included in the network?

A

Hopfield networks can be adapted for supervised learning by including visible units for pixels and elements encoding a label. This enables the network to recall patterns with corresponding labels.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What challenges arise in Hopfield networks, leading to incorrect memories, and how is stochastic dynamics introduced?

A

Challenges include reaching configurations with low energy but incorrect memories. Stochastic dynamics are introduced using a Sigmoid function and temperature, preventing deterministic behavior.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What is the role of temperature in making Hopfield networks stochastic, and how does it impact the behavior?

A

Temperature, through the Sigmoid function, influences the stochasticity of Hopfield networks. Lower temperatures result in more deterministic behavior, while higher temperatures introduce randomness.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Why is injecting randomness into the system essential in Hopfield networks, and what role does momentum play?

A

Injecting randomness helps prevent trapping in local minima, allowing the system to approach global minima. Momentum is introduced to facilitate jumping to global minima by adding some randomness.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

How does the Sigmoid function contribute to making the Hopfield network stochastic, and what role does temperature play?

A

The Sigmoid function introduces stochasticity to Hopfield networks. Temperature influences the curvature of the Sigmoid, affecting how steep it is, with lower temperatures leading to more deterministic behavior.

17
Q

What is the significance of introducing stochastic dynamics in Hopfield networks, and how does it relate to global minima?

A

Stochastic dynamics prevent being trapped in local minima and facilitate approaching global minima. The introduction of randomness allows for better exploration of the solution space.

18
Q

How does the Hopfield network handle incorrect memories, and what distinguishes good memories from spurious ones?

A

The Hopfield network may end up in configurations with low energy but incorrect memories, distinguishing good memories (corresponding to patterns) from spurious ones (incorrect configurations).

19
Q

Why is the Sigmoid function employed in Hopfield networks, and what is the role of temperature in adjusting its behavior?

A

The Sigmoid function is used to introduce stochasticity in Hopfield networks. Temperature adjusts its behavior, with lower temperatures making the network more deterministic, while higher temperatures increase randomness.

20
Q

In supervised learning with Hopfield networks, what elements are included in the network, and how does it enhance performance?

A

In supervised learning, Hopfield networks include visible units representing pixels and elements encoding labels. This inclusion enhances the network’s ability to recall patterns with corresponding labels.

21
Q

How does the Ising model, originally used for physical systems, relate to neural networks in the context of Hopfield’s work?

A

The Ising model, initially proposed for studying phase transitions in physical systems, inspired Hopfield’s work in extending simple physical models to stimulate neural networks, drawing parallels between physical materials and neurons.

22
Q

What is the significance of Hopfield networks lacking hidden units, and what are the potential limitations associated with this architecture?

A

Hopfield networks lacking hidden units simplify their architecture but come with limitations, limiting their expressiveness and capacity to learn complex representations compared to architectures with hidden layers.

23
Q

How is the energy function defined in Hopfield networks, and what role does it play in the learning process?

A

The energy function in Hopfield networks is defined as the weighted sum of co-activating neurons. During learning, the goal is to shape this energy function, creating attractors for local energy minima.

24
Q

How does Hopfield’s approach extend simple physical models, and what is the analogy drawn between physical material and neurons?

A

Hopfield extended simple physical models, like the Ising model, to stimulate neural networks. The analogy is drawn between physical material and neurons, emphasizing the similarities between the two systems.

25
Q

What challenges does Hopfield face in achieving correct memories, and how does the concept of frustration play a crucial role in neural networks?

A

Hopfield networks encounter challenges in reaching configurations with low energy that correspond to correct memories. The concept of frustration is crucial in neural networks, introducing entropy and allowing diverse states to encode information effectively.