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ai.stackexchange.com:q:1
[TITLE] What is "backprop"? [QUESTION] What does "backprop" mean? Is the "backprop" term basically the same as "backpropagation" or does it have a different meaning? [TAGS] backpropagation, definitions, neural-networks, terminology
ai.stackexchange.com:a:3
"Backprop" is the same as "backpropagation": it's just a shorter way to say it. It is sometimes abbreviated as "BP".
15
true
accepted_unique_top
2016-08-02T15:40:24Z
Franck Dernoncourt
https://ai.stackexchange.com/a/3
CC BY-SA 3.0
ai.stackexchange.com:q:1
[TITLE] What is "backprop"? [QUESTION] What does "backprop" mean? Is the "backprop" term basically the same as "backpropagation" or does it have a different meaning? [TAGS] backpropagation, definitions, neural-networks, terminology
ai.stackexchange.com:a:83
Yes, as Franck has rightly put, "backprop" means backpropogation, which is frequently used in the domain of neural networks for error optimization. For a detailed explanation, I would point out this tutorial on the concept of backpropogation by a very good book of Michael Nielsen.
3
false
accepted_unique_top
2016-08-02T16:54:40Z
Dawny33
https://ai.stackexchange.com/a/83
CC BY-SA 3.0
ai.stackexchange.com:q:1
[TITLE] What is "backprop"? [QUESTION] What does "backprop" mean? Is the "backprop" term basically the same as "backpropagation" or does it have a different meaning? [TAGS] backpropagation, definitions, neural-networks, terminology
ai.stackexchange.com:a:222
'Backprop' is short for 'backpropagation of error' in order to avoid confusion when using backpropagation term. Basically backpropagation refers to the method for computing the gradient of the case-wise error function with respect to the weights for a feedforward network Werbos . And backprop refers to a training meth...
10
false
accepted_unique_top
2016-08-03T14:39:02Z
kenorb
https://ai.stackexchange.com/a/222
CC BY-SA 3.0
ai.stackexchange.com:q:1
[TITLE] What is "backprop"? [QUESTION] What does "backprop" mean? Is the "backprop" term basically the same as "backpropagation" or does it have a different meaning? [TAGS] backpropagation, definitions, neural-networks, terminology
ai.stackexchange.com:a:20534
It's a fancy name for the multivariable chain rule.
1
false
accepted_unique_top
2020-04-22T00:49:46Z
FourierFlux
https://ai.stackexchange.com/a/20534
CC BY-SA 4.0
ai.stackexchange.com:q:1
[TITLE] What is "backprop"? [QUESTION] What does "backprop" mean? Is the "backprop" term basically the same as "backpropagation" or does it have a different meaning? [TAGS] backpropagation, definitions, neural-networks, terminology
ai.stackexchange.com:a:28584
We need to compute the gradients in-order to train the deep neural networks. Deep neural network consists of many layers. Weight parameters are present between the layers. Since we need to compute the gradients of loss function for each weight, we use an algorithm called backprop. It is an abbreviation for backprop aga...
0
false
accepted_unique_top
2021-07-08T10:45:23Z
hanugm
https://ai.stackexchange.com/a/28584
CC BY-SA 4.0
ai.stackexchange.com:q:10013
[TITLE] What is a bad local minimum in machine learning? [QUESTION] What is "bad local minima"? The following papers all mention this expression. - Eliminating all bad Local Minima from Loss Landscapes without even adding an Extra Unit - limination of All Bad Local Minima in Deep Learning - Adding One Neuron Can El...
ai.stackexchange.com:a:10017
As mentioned in the abstract of on of these papers, bad local minima is a suboptimal local minimum which means a local minimum that is near to a global minimum.
0
false
accepted_unique_top
2019-01-16T07:46:43Z
OmG
https://ai.stackexchange.com/a/10017
CC BY-SA 4.0
ai.stackexchange.com:q:10013
[TITLE] What is a bad local minimum in machine learning? [QUESTION] What is "bad local minima"? The following papers all mention this expression. - Eliminating all bad Local Minima from Loss Landscapes without even adding an Extra Unit - limination of All Bad Local Minima in Deep Learning - Adding One Neuron Can El...
ai.stackexchange.com:a:10088
The adjective bad isn't mathematically descriptive. A better term is sub-optimal, which implies the state of learning might appear optimal based on current information but the optimal solution from among all possibilities is not yet located. Consider a graph representing a loss function, one of the names to measure di...
2
true
accepted_unique_top
2019-01-20T14:49:32Z
Douglas Daseeco
https://ai.stackexchange.com/a/10088
CC BY-SA 4.0
ai.stackexchange.com:q:10049
[TITLE] Why are lambda returns so rarely used in policy gradients? [QUESTION] I've seen the Monte Carlo return $G_{t}$ being used in REINFORCE and the TD( $0$ ) target $r_t + \gamma Q(s', a')$ in vanilla actor-critic. However, I've never seen someone use the lambda return $G^{\lambda}_{t}$ in these situations, nor in a...
ai.stackexchange.com:a:10061
That can be done. For example, Chapter 13 of the 2nd edition of Sutton and Barto's Reinforcement Learning book (page 332) has pseudocode for "Actor Critic with Eligibility Traces". It's using $G_t^{\lambda}$ returns for the critic (value function estimator), but also for the actor's policy gradients. Note that you do ...
11
true
accepted_unique_top
2019-01-18T14:29:37Z
Dennis Soemers
https://ai.stackexchange.com/a/10061
CC BY-SA 4.0
ai.stackexchange.com:q:10049
[TITLE] Why are lambda returns so rarely used in policy gradients? [QUESTION] I've seen the Monte Carlo return $G_{t}$ being used in REINFORCE and the TD( $0$ ) target $r_t + \gamma Q(s', a')$ in vanilla actor-critic. However, I've never seen someone use the lambda return $G^{\lambda}_{t}$ in these situations, nor in a...
ai.stackexchange.com:a:17095
Recent actor-critic algorithms do use $\lambda$ -returns, but they are disguised as something called the Generalized Advantage Estimator defined as $A^{GAE}_t = \sum_{i=0}^{\infty} (\gamma\lambda)^i \delta_{t+i}$ where $\delta_t = r_t + \gamma V(s_{t+1}) - V(s_t)$ . This turns out to be identically equal to $[G^\lambda...
9
false
accepted_unique_top
2020-08-11T16:59:36Z
Brett Daley
https://ai.stackexchange.com/a/17095
CC BY-SA 4.0
ai.stackexchange.com:q:10114
[TITLE] What's the commercial usage of "image captioning"? [QUESTION] If "image captioning" is utilized to make a commercial product, what application fields will need this technique? And what is the level of required performance for this technique to be usable? [TAGS] deep-learning, image-recognition, natural-language...
ai.stackexchange.com:a:10116
If "image captioning" is utilized to make a commercial product, what application fields will need this technique? There are several important use case categories for image captioning, but most are components in larger systems, web traffic control strategies, SaaS, IaaS, IoT, and virtual reality systems, not as much fo...
0
true
accepted_tied_top
2020-06-17T09:57:20Z
Douglas Daseeco
https://ai.stackexchange.com/a/10116
CC BY-SA 4.0
ai.stackexchange.com:q:10114
[TITLE] What's the commercial usage of "image captioning"? [QUESTION] If "image captioning" is utilized to make a commercial product, what application fields will need this technique? And what is the level of required performance for this technique to be usable? [TAGS] deep-learning, image-recognition, natural-language...
ai.stackexchange.com:a:49035
A few more use cases: - Accessibility: Providing automated alt-text for images, making websites and apps more inclusive for users with visual impairments. (which is why I'm against that proposal on MSE of making image description (a.k.a. alt texts) required, since AI could do it). - Author assistance: Automatically c...
0
false
accepted_tied_top
2025-10-13T01:37:33Z
Franck Dernoncourt
https://ai.stackexchange.com/a/49035
CC BY-SA 4.0
ai.stackexchange.com:q:10133
[TITLE] What are the segment embeddings and position embeddings in BERT? [QUESTION] They only reference in the paper that the position embeddings are learned, which is different from what was done in ELMo. ELMo paper - https://arxiv.org/pdf/1802.05365.pdf BERT paper - https://arxiv.org/pdf/1810.04805.pdf [TAGS] bert,...
ai.stackexchange.com:a:10630
These embeddings are nothing more than token embeddings. You just randomly initialize them, then use gradient descent to train them, just like what you do with token embeddings.
3
true
accepted_below_top
2019-02-17T09:16:51Z
soloice
https://ai.stackexchange.com/a/10630
CC BY-SA 4.0
ai.stackexchange.com:q:10133
[TITLE] What are the segment embeddings and position embeddings in BERT? [QUESTION] They only reference in the paper that the position embeddings are learned, which is different from what was done in ELMo. ELMo paper - https://arxiv.org/pdf/1802.05365.pdf BERT paper - https://arxiv.org/pdf/1810.04805.pdf [TAGS] bert,...
ai.stackexchange.com:a:18072
Sentences (for those tasks such as NLI which take two sentences as input) are differentiated in two ways in BERT: - First, a `[SEP]` token is put between them - Second, a learned embedding $E_A$ is added to every token of the first sentence, and another learned vector $E_B$ to every token of the second one That is, ...
4
false
accepted_below_top
2023-10-09T17:31:40Z
finiteautomata
https://ai.stackexchange.com/a/18072
CC BY-SA 4.0
ai.stackexchange.com:q:10133
[TITLE] What are the segment embeddings and position embeddings in BERT? [QUESTION] They only reference in the paper that the position embeddings are learned, which is different from what was done in ELMo. ELMo paper - https://arxiv.org/pdf/1802.05365.pdf BERT paper - https://arxiv.org/pdf/1810.04805.pdf [TAGS] bert,...
ai.stackexchange.com:a:49048
Segment embedding are used to distinguish two separate splits of a sentence: Example - My dog is cute, he like playing Will be split into: [My dog is cute] [SEP] [he likes play ing] source
0
false
accepted_below_top
2025-10-14T19:50:36Z
Loony_D
https://ai.stackexchange.com/a/49048
CC BY-SA 4.0
ai.stackexchange.com:q:10158
[TITLE] How can a neural network learn when the derivative of the activation function is 0? [QUESTION] Imagine that I have an artificial neural network with a single hidden layer and that I am using ReLU as my activating function. If by change I initialize my bias and my weights in such a form that: $$ X * W + B < 0 $...
ai.stackexchange.com:a:10160
In a setup like the above where the derivat[iv]e is 0 is it true that an NN won´t learn anything? There are a couple of adjustments to gradients that might apply if you do this in a standard framework: - Momentum may cause weights to continue changing if any recent ones were non-zero. This is typically implemented as...
3
true
accepted_unique_top
2019-01-24T08:21:49Z
Neil Slater
https://ai.stackexchange.com/a/10160
CC BY-SA 4.0
ai.stackexchange.com:q:10158
[TITLE] How can a neural network learn when the derivative of the activation function is 0? [QUESTION] Imagine that I have an artificial neural network with a single hidden layer and that I am using ReLU as my activating function. If by change I initialize my bias and my weights in such a form that: $$ X * W + B < 0 $...
ai.stackexchange.com:a:10165
Learning and Zero Derivatives Artificial networks are designed so that even when the partial derivative of a single activation function is zero they can learn. They can also be designed to continue learning when the derivative of the loss 1 function is zero too. This resilience to a vanishing feedback signal amplitude...
1
false
accepted_unique_top
2019-01-28T17:13:29Z
Douglas Daseeco
https://ai.stackexchange.com/a/10165
CC BY-SA 4.0
ai.stackexchange.com:q:10158
[TITLE] How can a neural network learn when the derivative of the activation function is 0? [QUESTION] Imagine that I have an artificial neural network with a single hidden layer and that I am using ReLU as my activating function. If by change I initialize my bias and my weights in such a form that: $$ X * W + B < 0 $...
ai.stackexchange.com:a:10185
People often place a batchnorm layer before ReLU. That effectively prevents the problem you have described.
1
false
accepted_unique_top
2019-01-25T12:31:58Z
ssegvic
https://ai.stackexchange.com/a/10185
CC BY-SA 4.0
ai.stackexchange.com:q:10177
[TITLE] What's the role of bounding boxes in object detection? [QUESTION] I'm quite new to the field of computer vision and was wondering what are the purposes of having the boundary boxes in object detection. Obviously, it shows where the detected object is, and using a classifier can only classify one object per ima...
ai.stackexchange.com:a:10186
In principle, you could train the model to output a sigmoid map of coarse object positions (0 -> no object, 1 -> an object center is located here). The map could be subjected to non-maximum suppression and such model could be trained end-to-end. That would be possible, if that's what you are asking.
-1
false
accepted_unique_top
2019-01-25T12:52:43Z
ssegvic
https://ai.stackexchange.com/a/10186
CC BY-SA 4.0
ai.stackexchange.com:q:10177
[TITLE] What's the role of bounding boxes in object detection? [QUESTION] I'm quite new to the field of computer vision and was wondering what are the purposes of having the boundary boxes in object detection. Obviously, it shows where the detected object is, and using a classifier can only classify one object per ima...
ai.stackexchange.com:a:10221
A bounding box is a rectangle superimposed over an image within which all important features of a particular object is expected to reside. It's purpose is to reduce the range of search for those object features and thereby conserve computing resources: Allocation of memory, processors, cores, processing time, some othe...
3
true
accepted_unique_top
2019-01-28T11:16:27Z
Douglas Daseeco
https://ai.stackexchange.com/a/10221
CC BY-SA 4.0
ai.stackexchange.com:q:10289
[TITLE] Are neural networks statistical models? [QUESTION] By reading the abstract of Neural Networks and Statistical Models paper it would seem that ANNs are statistical models. In contrast Machine Learning is not just glorified Statistics . I am looking for a more concise/summarized answer with focus on ANNs. [TAGS...
ai.stackexchange.com:a:12354
What is a statistical model? According to Anthony C. Davison (in the book Statistical Models ), a statistical model is a probability distribution constructed to enable inferences to be drawn or decisions made from data. The probability distribution represents the variability of the data. Are neural networks statistic...
7
true
accepted_unique_top
2022-06-04T14:15:06Z
nbro
https://ai.stackexchange.com/a/12354
CC BY-SA 4.0
ai.stackexchange.com:q:10289
[TITLE] Are neural networks statistical models? [QUESTION] By reading the abstract of Neural Networks and Statistical Models paper it would seem that ANNs are statistical models. In contrast Machine Learning is not just glorified Statistics . I am looking for a more concise/summarized answer with focus on ANNs. [TAGS...
ai.stackexchange.com:a:18580
According to Wikipedia: A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from a larger population). A statistical model represents, often in considerably idealized form, the data-generating process. Answer to your que...
5
false
accepted_unique_top
2020-03-12T03:05:38Z
Ta_Req
https://ai.stackexchange.com/a/18580
CC BY-SA 4.0
ai.stackexchange.com:q:10289
[TITLE] Are neural networks statistical models? [QUESTION] By reading the abstract of Neural Networks and Statistical Models paper it would seem that ANNs are statistical models. In contrast Machine Learning is not just glorified Statistics . I am looking for a more concise/summarized answer with focus on ANNs. [TAGS...
ai.stackexchange.com:a:37638
A dataset can be thought of as a set of ordered pairs $\subset R^f \times R^l$ , where $f$ is the feature dimensions and $l$ the label dimensions. Ordered pairs give rise to a statistical model (i.e. a function from $R^f$ to a probability distribution over $R^l$ ) Then this statistical model is turned into function $...
2
false
accepted_unique_top
2022-10-26T05:17:54Z
Tom Huntington
https://ai.stackexchange.com/a/37638
CC BY-SA 4.0
ai.stackexchange.com:q:10306
[TITLE] Each training run for DDQN agent takes 2 days, and still ends up with -13 avg score, but OpenAi baseline DQN needs only an hour to converge to +18? [QUESTION] Status : For a few weeks now, I have been working on a Double DQN agent for the `PongDeterministic-v4` environment, which you can find here . A single ...
ai.stackexchange.com:a:10311
Dueling architectures create bigger differences in the values of actions in the state space. This is because the state-value V(s) function is estimated separately from the state-action value Q(s, a) . A new quantity, the advantage of an action, can then be defined as A(s, a) = Q(s, a) - V(s) . The Q function, however,...
3
false
accepted_tied_top
2019-01-30T15:17:46Z
Jaden Travnik
https://ai.stackexchange.com/a/10311
CC BY-SA 4.0
ai.stackexchange.com:q:10306
[TITLE] Each training run for DDQN agent takes 2 days, and still ends up with -13 avg score, but OpenAi baseline DQN needs only an hour to converge to +18? [QUESTION] Status : For a few weeks now, I have been working on a Double DQN agent for the `PongDeterministic-v4` environment, which you can find here . A single ...
ai.stackexchange.com:a:10481
Although what @Jaden said may be true by itself, it does not really serve to answer my question as I have seen after conducting numerous experiments, and finally reaching close to Dueling Network performance using a normal Double DQN (DDQN). I made the following changes to my code after closely examining the OpenAI ba...
3
true
accepted_tied_top
2019-02-10T03:56:15Z
hridayns
https://ai.stackexchange.com/a/10481
CC BY-SA 4.0
ai.stackexchange.com:q:10322
[TITLE] Using GAN's to generate dataset for CNN training [QUESTION] I'm doing bachaleor thesis on traffic sign detection using single shot detector called YOLO. These single shot detectors can perform detection of objects in image and so they have specific way of training, ie. training on full images. Thats quite probl...
ai.stackexchange.com:a:10325
You could add the desired traffic sign location to the latent vector and then arrange that the generator incurs loss if the traffic sign is not at the right place in the generated image.
0
false
accepted_unique_top
2019-01-31T11:57:59Z
ssegvic
https://ai.stackexchange.com/a/10325
CC BY-SA 4.0
ai.stackexchange.com:q:10322
[TITLE] Using GAN's to generate dataset for CNN training [QUESTION] I'm doing bachaleor thesis on traffic sign detection using single shot detector called YOLO. These single shot detectors can perform detection of objects in image and so they have specific way of training, ie. training on full images. Thats quite probl...
ai.stackexchange.com:a:10328
I think you'll enjoy this work from Apple on improving the realism of synthetic images. Essentially what you need to do is generate a synthetic image then have your GAN modify the synthetic image so that a 1) a discriminator thinks it is real while also 2) not changing the gross structure of the image very much (so the...
3
true
accepted_unique_top
2019-01-31T13:03:24Z
Edward Dixon
https://ai.stackexchange.com/a/10328
CC BY-SA 4.0
ai.stackexchange.com:q:10352
[TITLE] When are Q values calculated in experience replay? [QUESTION] In experience replay , the update rule follows the loss: $$ L_i(\theta_i) = \mathbb{E}_{(s_t, a_t, r_t, s_{t+1}) \sim U(D)} \left[ \left(r_t + \gamma \max_{a_{t+1}} Q(s_{t+1}, a_{t+1}; \theta_i^-) - Q(s_t, a_t; \theta_i)\right)^2 \right] $$ I can't...
ai.stackexchange.com:a:10354
Once the algorithm reaches a point where a reward (or penalty) is gained, then a slowly decaying amount of that reward is given to the Q-value of whichever action was derived from a particular state for each time step back through the game (or however far back you want to apply that reward). You will have stored the st...
0
false
accepted_unique_top
2019-02-01T19:11:22Z
DrMcCleod
https://ai.stackexchange.com/a/10354
CC BY-SA 4.0
ai.stackexchange.com:q:10352
[TITLE] When are Q values calculated in experience replay? [QUESTION] In experience replay , the update rule follows the loss: $$ L_i(\theta_i) = \mathbb{E}_{(s_t, a_t, r_t, s_{t+1}) \sim U(D)} \left[ \left(r_t + \gamma \max_{a_{t+1}} Q(s_{t+1}, a_{t+1}; \theta_i^-) - Q(s_t, a_t; \theta_i)\right)^2 \right] $$ I can't...
ai.stackexchange.com:a:10362
Because the Q value is different, I don't see how the reward signal at time $t$ is of any relevance for $Q_{t+x}(s_t,a_t)$ at $t+x$ , the time of learning. The $r_t$ value for any single step is not dependent on $Q$ or the current policy. It is purely dependent on $(s_t,a_t)$ . That means you can use the Q update equa...
2
true
accepted_unique_top
2019-02-02T09:45:29Z
Neil Slater
https://ai.stackexchange.com/a/10362
CC BY-SA 4.0
ai.stackexchange.com:q:10431
[TITLE] Should I choose a model with the smallest loss or highest accuracy? [QUESTION] I have two Machine Learning models (I use LSTM) that have a different result on the validation set (~100 samples data): - Model A: Accuracy: ~91%, Loss: ~0.01 - Model B: Accuracy: ~83%, Loss: ~0.003 The size and the speed of both ...
ai.stackexchange.com:a:10588
You should choose the model A. The loss is just a differentiable proxy for accuracy. That said, the situation should be examined in more detail. If the higher loss is due to the data term, examine the data which produce high loss and check for presence of overfitting or incorrect labels. If the higher loss is due to ...
7
false
accepted_below_top
2019-02-15T18:17:09Z
ssegvic
https://ai.stackexchange.com/a/10588
CC BY-SA 4.0
ai.stackexchange.com:q:10431
[TITLE] Should I choose a model with the smallest loss or highest accuracy? [QUESTION] I have two Machine Learning models (I use LSTM) that have a different result on the validation set (~100 samples data): - Model A: Accuracy: ~91%, Loss: ~0.01 - Model B: Accuracy: ~83%, Loss: ~0.003 The size and the speed of both ...
ai.stackexchange.com:a:10589
It depends on your application! Imagine a binary classifier that is always very "confident" - it always assigns P=100% to Class A and 0% to Class B, or vice versa (sometimes wrong, never uncertain!). Now imagine a "humble" model that is perhaps fractionally less accurate, but whose probabilities are actually meaningful...
1
false
accepted_below_top
2019-02-15T11:07:42Z
Edward Dixon
https://ai.stackexchange.com/a/10589
CC BY-SA 4.0
ai.stackexchange.com:q:10431
[TITLE] Should I choose a model with the smallest loss or highest accuracy? [QUESTION] I have two Machine Learning models (I use LSTM) that have a different result on the validation set (~100 samples data): - Model A: Accuracy: ~91%, Loss: ~0.01 - Model B: Accuracy: ~83%, Loss: ~0.003 The size and the speed of both ...
ai.stackexchange.com:a:10604
You should note that both your results are consistent with a "true" probability of 87% accuracy, and your measurement of a difference between these models is not statistically significant. With an 87% accuracy applied at random, then there is approx 14% chance of getting the two extremes of accuracy you have observed b...
5
true
accepted_below_top
2019-02-15T19:40:51Z
Neil Slater
https://ai.stackexchange.com/a/10604
CC BY-SA 4.0
ai.stackexchange.com:q:10447
[TITLE] How to use CNN for making predictions on non-image data? [QUESTION] I have a dataset which I have loaded as a data frame in Python. It consists of 21392 rows (the data instances, each row is one sample) and 1972 columns (the features). The last column i.e. column 1972 has string type labels (14 different catego...
ai.stackexchange.com:a:10449
You can use CNN on any data, but it's recommended to use CNN only on data that have spatial features (It might still work on data that doesn't have spatial features, see DuttaA's comment below). For example, in the image, the connection between pixels in some area gives you another feature (e.g. edge) instead of a fea...
12
true
accepted_unique_top
2021-04-13T15:54:51Z
malioboro
https://ai.stackexchange.com/a/10449
CC BY-SA 4.0
ai.stackexchange.com:q:10447
[TITLE] How to use CNN for making predictions on non-image data? [QUESTION] I have a dataset which I have loaded as a data frame in Python. It consists of 21392 rows (the data instances, each row is one sample) and 1972 columns (the features). The last column i.e. column 1972 has string type labels (14 different catego...
ai.stackexchange.com:a:10458
The convolutional models are a method of choice when your problem is translation invariant (or covariant). In image classification, the image should be classified into class 'cow' if a cow is present in any part of the image. In text classification, different orders of phrases and sentences result in related meaning. I...
6
false
accepted_unique_top
2019-02-08T16:05:53Z
ssegvic
https://ai.stackexchange.com/a/10458
CC BY-SA 4.0
ai.stackexchange.com:q:10447
[TITLE] How to use CNN for making predictions on non-image data? [QUESTION] I have a dataset which I have loaded as a data frame in Python. It consists of 21392 rows (the data instances, each row is one sample) and 1972 columns (the features). The last column i.e. column 1972 has string type labels (14 different catego...
ai.stackexchange.com:a:30220
DeepInsight method has been used for converting tabular data into corresponding images which are then processed by CNN. Here is the link https://alok-ai-lab.github.io/DeepInsight/
1
false
accepted_unique_top
2021-08-17T08:34:56Z
Astha
https://ai.stackexchange.com/a/30220
CC BY-SA 4.0
ai.stackexchange.com:q:10529
[TITLE] How to obtain a formula for loss, when given an iterative update rule in gradient descent? [QUESTION] From the reinforcement learning book section 13.3 : Using pytorch, I need to calculate a loss, and then the gradient is calculated internally. How to obtain the loss from equations which are stated in the for...
ai.stackexchange.com:a:10538
You can find an implementation of the REINFORCE algorithm (as defined in your question) in PyTorch at the following URL: https://github.com/JamesChuanggg/pytorch-REINFORCE/ . First of all, I would like to note that a policy can be represented or implemented as a neural network, where the input is the state (you are cur...
3
true
accepted_unique_top
2019-02-12T18:09:22Z
nbro
https://ai.stackexchange.com/a/10538
CC BY-SA 4.0
ai.stackexchange.com:q:10529
[TITLE] How to obtain a formula for loss, when given an iterative update rule in gradient descent? [QUESTION] From the reinforcement learning book section 13.3 : Using pytorch, I need to calculate a loss, and then the gradient is calculated internally. How to obtain the loss from equations which are stated in the for...
ai.stackexchange.com:a:27423
Chiming in because I had the same question and stumbled across your post. It seems like the general version of your question still has not been answered. In general, a well-formed gradient update rule is all you need to be able to train the network. We are thinking of converting to a "loss function" because that is th...
0
false
accepted_unique_top
2021-04-20T01:51:16Z
killian95
https://ai.stackexchange.com/a/27423
CC BY-SA 4.0
ai.stackexchange.com:q:10549
[TITLE] What is the gradient of the objective function in the Soft Actor-Critic paper? [QUESTION] In the paper Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actor , they define the loss function for the policy network as $$ J_\pi(\phi)=\mathbb E_{s_t\sim \mathcal D}\left[D...
ai.stackexchange.com:a:10573
I'll give it a go here and try to answer your question, I'm not sure if this is entirely correct, so if someone thinks that it isn't please correct me. I'll disregard expectation here to make things simpler. First, note that policy $\pi$ depends on parameter vector $\phi$ and function $f_\phi(\epsilon_t;s_t)$ , and va...
4
true
accepted_unique_top
2019-02-14T15:30:03Z
Brale
https://ai.stackexchange.com/a/10573
CC BY-SA 4.0
ai.stackexchange.com:q:10549
[TITLE] What is the gradient of the objective function in the Soft Actor-Critic paper? [QUESTION] In the paper Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actor , they define the loss function for the policy network as $$ J_\pi(\phi)=\mathbb E_{s_t\sim \mathcal D}\left[D...
ai.stackexchange.com:a:23846
This is more meant like a comment to the previous answer. I also originally thought that $$ \nabla_{\theta}\log \pi_{\theta}(f_{\theta}(\varepsilon, s)\mid s) = \nabla_{a}\log\pi_{\theta}(a\mid s)\vert_{a=f_{\theta}(\varepsilon,s)}\nabla_{\theta}f_{\theta}(\varepsilon, s), $$ instead of $$ \nabla_{\theta}\log \pi_{\t...
1
false
accepted_unique_top
2020-09-30T20:28:50Z
matorbi
https://ai.stackexchange.com/a/23846
CC BY-SA 4.0
ai.stackexchange.com:q:10575
[TITLE] Apart from the state and state-action value functions, what are other examples of value functions used in RL? [QUESTION] In reinforcement learning, we often define two functions, the state-value function $$V^\pi(s) = \mathbb{E}_{\pi} \left[\sum_{k=0}^{\infty} \gamma^{k}R_{t+k+1} \Bigg| S_t=s \right]$$ and the...
ai.stackexchange.com:a:11069
Advantage function : $A(s,a) = Q(s,a) - V(s)$ More interesting is the General Value Function (GVF) , the expected sum of the (discounted) future values of some arbitrary signal, not necessarily reward. It is therefore a generalization of value function $V(s)$ . The GVF is defined on page 459 of the 2nd edition of Sutt...
6
true
accepted_unique_top
2020-11-23T14:03:51Z
Philip Raeisghasem
https://ai.stackexchange.com/a/11069
CC BY-SA 4.0
ai.stackexchange.com:q:10575
[TITLE] Apart from the state and state-action value functions, what are other examples of value functions used in RL? [QUESTION] In reinforcement learning, we often define two functions, the state-value function $$V^\pi(s) = \mathbb{E}_{\pi} \left[\sum_{k=0}^{\infty} \gamma^{k}R_{t+k+1} \Bigg| S_t=s \right]$$ and the...
ai.stackexchange.com:a:24292
There is also the simpler action value function $$q_*(a) = \mathbb{E} \left[ R_t \mid A_t = a\right],$$ which we try to approximate when solving context-free bandit problems . You can also similarly define the action value function for contextual bandit problems by also conditioning on the context (rather than just o...
0
false
accepted_unique_top
2020-11-23T14:13:36Z
nbro
https://ai.stackexchange.com/a/24292
CC BY-SA 4.0
ai.stackexchange.com:q:10615
[TITLE] What is "planning" in the context of reinforcement learning, and how is it different from RL and SL? [QUESTION] This is an excerpt taken from Sutton and Barto (pg. 3): Another key feature of reinforcement learning is that it explicitly considers the whole problem of a goal-directed agent interacting with an un...
ai.stackexchange.com:a:10616
The concept of "planning" is not just related to RL. In general (as the name suggests), planning consists in creating a "plan" which you will use to reach a "goal". The goal depends on the context or problem. For example, in robotics, you can use a "planning algorithm" (e.g. Dijkstra's algorithm) in order to find the p...
14
true
accepted_unique_top
2020-11-21T13:15:24Z
nbro
https://ai.stackexchange.com/a/10616
CC BY-SA 4.0
ai.stackexchange.com:q:10615
[TITLE] What is "planning" in the context of reinforcement learning, and how is it different from RL and SL? [QUESTION] This is an excerpt taken from Sutton and Barto (pg. 3): Another key feature of reinforcement learning is that it explicitly considers the whole problem of a goal-directed agent interacting with an un...
ai.stackexchange.com:a:10618
The automated planning is: Automated planning and scheduling, sometimes denoted as simply AI Planning, 1 is a branch of artificial intelligence that concerns the realization of strategies or action sequences, typically for execution by intelligent agents, autonomous robots and unmanned vehicles. Unlike classical contr...
0
false
accepted_unique_top
2019-02-16T17:02:52Z
OmG
https://ai.stackexchange.com/a/10618
CC BY-SA 4.0
ai.stackexchange.com:q:10617
[TITLE] Do I need an encoder-decoder architecture to predict the next item of a sequence? [QUESTION] I am trying to understand how RNNs are used for sequence modelling. On a tutorial here , it mentions that if you want to translate say a sentence from English to French you can use an encoder-decoder set-up as they des...
ai.stackexchange.com:a:10619
You don't need to Encoder-Decoder here. When using seq2seq learning for text (for example, for translation) you need encoder-decoder to encode the words into the numeric vectors and decode the vectors into the words. Therefore, for your numerical case, you don't need an encoder or decoder to train the RNN.
2
true
accepted_unique_top
2019-02-21T11:16:11Z
OmG
https://ai.stackexchange.com/a/10619
CC BY-SA 4.0
ai.stackexchange.com:q:10617
[TITLE] Do I need an encoder-decoder architecture to predict the next item of a sequence? [QUESTION] I am trying to understand how RNNs are used for sequence modelling. On a tutorial here , it mentions that if you want to translate say a sentence from English to French you can use an encoder-decoder set-up as they des...
ai.stackexchange.com:a:10779
Why you need encoder and decoder here, this is not a use case for this. If you want to convert one sequence to another sequence then you can use encoder-decoder. You can use simple seq2seq learning for below purpose. - Sequence - Sequence Prediction - Sequence Classification - Sequence Generation Sequence to Sequen...
1
false
accepted_unique_top
2019-02-21T06:56:37Z
Maheshwar Ligade
https://ai.stackexchange.com/a/10779
CC BY-SA 4.0
ai.stackexchange.com:q:10620
[TITLE] How can we estimate the transition model and reward function? [QUESTION] In reinforcement learning (RL), there are model-based and model-free algorithms. In short, model-based algorithms use a transition model $p(s' \mid s, a)$ and the reward function $r(s, a)$ , even though they do not necessarily compute (or ...
ai.stackexchange.com:a:23647
Given that model-based RL algorithms do not necessarily estimate or compute the transition model or reward function, in the case these are unknown, how can they be computed or estimated (so that they can be used by the model-based algorithms)? A generally reliable approach to creating learned models from interacting w...
1
true
accepted_tied_top
2022-01-24T11:29:02Z
Neil Slater
https://ai.stackexchange.com/a/23647
CC BY-SA 4.0
ai.stackexchange.com:q:10620
[TITLE] How can we estimate the transition model and reward function? [QUESTION] In reinforcement learning (RL), there are model-based and model-free algorithms. In short, model-based algorithms use a transition model $p(s' \mid s, a)$ and the reward function $r(s, a)$ , even though they do not necessarily compute (or ...
ai.stackexchange.com:a:24511
The original question about both the estimation of the transition model , often denoted as $T$ , and the reward function , sometimes denoted as $R$ , arose because I was thinking about the probability distribution often denoted as $$\color{red}{p}\left(s^{\prime}, r \mid s, a\right) \doteq \operatorname{Pr}\left\{S_{t...
1
false
accepted_tied_top
2020-11-09T12:22:19Z
nbro
https://ai.stackexchange.com/a/24511
CC BY-SA 4.0
ai.stackexchange.com:q:10623
[TITLE] What is self-supervised learning in machine learning? [QUESTION] What is self-supervised learning in machine learning? How is it different from supervised learning? [TAGS] comparison, machine-learning, representation-learning, self-supervised-learning, supervised-learning
ai.stackexchange.com:a:10624
Introduction The term self-supervised learning (SSL) has been used (sometimes differently) in different contexts and fields, such as representation learning [ 1 ], neural networks, robotics [ 2 ], natural language processing, and reinforcement learning. In all cases, the basic idea is to automatically generate some ki...
98
true
accepted_unique_top
2020-08-01T13:58:51Z
nbro
https://ai.stackexchange.com/a/10624
CC BY-SA 4.0
ai.stackexchange.com:q:10623
[TITLE] What is self-supervised learning in machine learning? [QUESTION] What is self-supervised learning in machine learning? How is it different from supervised learning? [TAGS] comparison, machine-learning, representation-learning, self-supervised-learning, supervised-learning
ai.stackexchange.com:a:10743
Self-supervised visual recognition is often applied to representation learning. Here we first learn features on unlabeled data (representation learning), and then learn the real model on features extracted from the labeled data. This especially makes sense when we have a lot of unlabeled data and few labeled data. The...
7
false
accepted_unique_top
2019-02-20T14:30:03Z
ssegvic
https://ai.stackexchange.com/a/10743
CC BY-SA 4.0
ai.stackexchange.com:q:10623
[TITLE] What is self-supervised learning in machine learning? [QUESTION] What is self-supervised learning in machine learning? How is it different from supervised learning? [TAGS] comparison, machine-learning, representation-learning, self-supervised-learning, supervised-learning
ai.stackexchange.com:a:13749
Self-supervised learning is when you use some parts of the samples as labels for a task that requires a good degree of comprehension to be solved. I'll emphasize these two key points, before giving an example: - Labels are extracted from the sample , so they can be generated automatically, with some very simple algori...
20
false
accepted_unique_top
2019-08-02T22:06:05Z
David
https://ai.stackexchange.com/a/13749
CC BY-SA 4.0
ai.stackexchange.com:q:10658
[TITLE] To what does the number of hidden layers in a neural network correspond? [QUESTION] In a neural network, the number of neurons in the hidden layer corresponds to the complexity of the model generated to map the inputs to output(s). More neurons creates a more complex function (and thus the ability to model more...
ai.stackexchange.com:a:10659
More hidden layers will just escalate the possibilities amount the neurons, including the solutions from the previous hidden layers. (I will edit this once I am at home and provide you with a good link I found some time ago) Meanwhile maybe this will help you https://stats.stackexchange.com/questions/63152/what-does-t...
1
false
accepted_unique_top
2019-02-18T15:56:04Z
Fleep
https://ai.stackexchange.com/a/10659
CC BY-SA 4.0
ai.stackexchange.com:q:10658
[TITLE] To what does the number of hidden layers in a neural network correspond? [QUESTION] In a neural network, the number of neurons in the hidden layer corresponds to the complexity of the model generated to map the inputs to output(s). More neurons creates a more complex function (and thus the ability to model more...
ai.stackexchange.com:a:10683
It was proven a feed-forward network with a single hidden layer containing a finite number of neurons can approximate continuous functions (see Universal approximation theorem ). More layers can't improve something that can already do "everything". But adding more layers reduces the number of necessary neurons, and re...
1
false
accepted_unique_top
2019-02-18T22:40:24Z
Nyos
https://ai.stackexchange.com/a/10683
CC BY-SA 4.0
ai.stackexchange.com:q:10658
[TITLE] To what does the number of hidden layers in a neural network correspond? [QUESTION] In a neural network, the number of neurons in the hidden layer corresponds to the complexity of the model generated to map the inputs to output(s). More neurons creates a more complex function (and thus the ability to model more...
ai.stackexchange.com:a:11357
This is a very interesting question that you ask. I believe, this post and this post (written by me) well address your question. However, it deserves an explanation here. 1. Fully connected networks The more layers you add, the more "nonlinear" your network becomes. For instance, in the case of two spirals problem , ...
2
true
accepted_unique_top
2022-05-25T09:02:45Z
penkovsky
https://ai.stackexchange.com/a/11357
CC BY-SA 4.0
ai.stackexchange.com:q:10773
[TITLE] How do neural networks weigh multiple inputs/features of different dimensionality? [QUESTION] I am confused about how neural networks weigh different features or inputs. Consider this example. I have 3 features/inputs: an image, a dollar amount, and a rating. However, since one feature is an image, I need to r...
ai.stackexchange.com:a:10780
As stated in your example, the three features are: an image, a price, a rating. Now, you want to build a model that uses all of these features and the simplest way to do is to feed them directly into the neural network, but it's inefficient and fundamentally flawed, due to the following reasons: - In the first dense l...
1
true
accepted_unique_top
2020-11-21T20:30:39Z
ssh
https://ai.stackexchange.com/a/10780
CC BY-SA 4.0
ai.stackexchange.com:q:10773
[TITLE] How do neural networks weigh multiple inputs/features of different dimensionality? [QUESTION] I am confused about how neural networks weigh different features or inputs. Consider this example. I have 3 features/inputs: an image, a dollar amount, and a rating. However, since one feature is an image, I need to r...
ai.stackexchange.com:a:10784
The answer by ssh is correct. Your results could be further improved i) by extracting image features by a convolutional (instead of fully connected) architecture, and ii) by exploiting transfer learning. To exploit transfer learning you i) pick some widely used model, eg. ResNet-18, ii) initialize it with ImageNet pre...
0
false
accepted_unique_top
2019-02-21T10:53:30Z
ssegvic
https://ai.stackexchange.com/a/10784
CC BY-SA 4.0
ai.stackexchange.com:q:10812
[TITLE] What is the difference between First-Visit Monte-Carlo and Every-Visit Monte-Carlo Policy Evaluation? [QUESTION] I came across these 2 algorithms, but I cannot understand the difference between these 2, both in terms of implementation as well as intuitionally. So, what difference does the second point in both ...
ai.stackexchange.com:a:10818
The first-visit and the every-visit Monte-Carlo (MC) algorithms are both used to solve the prediction problem (or, also called, "evaluation problem"), that is, the problem of estimating the value function associated with a given (as input to the algorithms) fixed (that is, it does not change during the execution of the...
27
true
accepted_unique_top
2019-02-22T18:57:14Z
nbro
https://ai.stackexchange.com/a/10818
CC BY-SA 4.0
ai.stackexchange.com:q:10812
[TITLE] What is the difference between First-Visit Monte-Carlo and Every-Visit Monte-Carlo Policy Evaluation? [QUESTION] I came across these 2 algorithms, but I cannot understand the difference between these 2, both in terms of implementation as well as intuitionally. So, what difference does the second point in both ...
ai.stackexchange.com:a:22219
For anyone coming across this question and wants a very intuitive understanding of first and every visit monte-carlo, look at the answer given in the link provided here. https://amp.reddit.com/r/reinforcementlearning/comments/9zkdjb/d_help_need_in_understanding_monte_carlo_first/ After looking at that intuition, then...
1
false
accepted_unique_top
2020-06-28T02:29:06Z
Mugumya kevin
https://ai.stackexchange.com/a/22219
CC BY-SA 4.0
ai.stackexchange.com:q:10904
[TITLE] What is the difference between DQN and AlphaGo Zero? [QUESTION] I have already implemented a relatively simple DQN on Pacman. Now I would like to clearly understand the difference between a DQN and the techniques used by AlphaGo zero/AlphaZero and I couldn't find a place where the features of both approaches a...
ai.stackexchange.com:a:10905
DQN and AlphaZero do not share much in terms of implementation. However, they are based on the same Reinforcement Learning (RL) theoretical framework. If you understand terms like MDP, reward, return, value, policy, then these are interchangeable between DQN and AlphaZero. When it comes to implementation, and what eac...
6
true
accepted_unique_top
2020-06-17T09:57:20Z
Neil Slater
https://ai.stackexchange.com/a/10905
CC BY-SA 4.0
ai.stackexchange.com:q:10904
[TITLE] What is the difference between DQN and AlphaGo Zero? [QUESTION] I have already implemented a relatively simple DQN on Pacman. Now I would like to clearly understand the difference between a DQN and the techniques used by AlphaGo zero/AlphaZero and I couldn't find a place where the features of both approaches a...
ai.stackexchange.com:a:10927
You can actually combine AlphaZero-like approach with DQN: A* + DQN
1
false
accepted_unique_top
2019-02-28T13:04:20Z
mirror2image
https://ai.stackexchange.com/a/10927
CC BY-SA 4.0
ai.stackexchange.com:q:10947
[TITLE] Does IBM Watson use machine learning? [QUESTION] I was reading an article on Medium and wanted to make it clear whether a bot created on IBM Watson is an intelligent one or unintelligent. Simply put, there are 2 types of chatbots — unintelligent ones that act using predefined conversation flows (algorithms) wr...
ai.stackexchange.com:a:10952
A quick glance at the IBM Watson wikipedia page reveals that it does indeed use machine learning. Watson is a complex computing system that uses a variety of cutting edge techniques and concepts such as natural language processing and machine learning.
0
false
accepted_unique_top
2019-03-01T20:59:07Z
donkey
https://ai.stackexchange.com/a/10952
CC BY-SA 4.0
ai.stackexchange.com:q:10947
[TITLE] Does IBM Watson use machine learning? [QUESTION] I was reading an article on Medium and wanted to make it clear whether a bot created on IBM Watson is an intelligent one or unintelligent. Simply put, there are 2 types of chatbots — unintelligent ones that act using predefined conversation flows (algorithms) wr...
ai.stackexchange.com:a:11044
Yes, it does and at many parts of the solution. For one of the core components - intent detection - Intento did a benchmark comparing IBM Watson and other similar products . Outside of intent detection, there are other areas where AI techniques help - e.g. disambiguation, bootstrapping a bot from chat logs etc. Specif...
2
true
accepted_unique_top
2023-03-16T05:25:02Z
aameek
https://ai.stackexchange.com/a/11044
CC BY-SA 4.0
ai.stackexchange.com:q:10950
[TITLE] Could error surface shape be useful to detect which local minima is better for generalization? [QUESTION] The following plot shows error function output based on system weights. Two equal local minima are shown in green pointers. Note that the red dots are not related to the question. Does the right one genera...
ai.stackexchange.com:a:10956
I don't think that the concept of generalization is (directly) related to the "shape" of the function close to the point where it attains a minimum. The concept of generalisation refers to when a trained model is able " perform well" on unseen data (that is, data not seen during the training phase). If a trained model...
2
false
accepted_unique_top
2019-03-02T10:37:56Z
nbro
https://ai.stackexchange.com/a/10956
CC BY-SA 4.0
ai.stackexchange.com:q:10950
[TITLE] Could error surface shape be useful to detect which local minima is better for generalization? [QUESTION] The following plot shows error function output based on system weights. Two equal local minima are shown in green pointers. Note that the red dots are not related to the question. Does the right one genera...
ai.stackexchange.com:a:10962
In general I agree with @nbro answer, nevertheless sticking strictly to this specific question I'd like to share some speculations: - what the author of the question provides us with is the Loss Function Shape so I'll try to use the full information here to compare the 2 minima - looking at the LF steepness we observ...
4
true
accepted_unique_top
2019-03-02T08:25:17Z
Nicola Bernini
https://ai.stackexchange.com/a/10962
CC BY-SA 4.0
ai.stackexchange.com:q:10958
[TITLE] Can a sentence have different parse trees? [QUESTION] I just read about the concept of a parse tree . In my understanding, a valid parse tree of a sentence needs to be validated by a linguistic expert. So, I concluded, a sentence only has one parse tree. But, is that correct? Is it possible a sentence has mor...
ai.stackexchange.com:a:10960
Grammars in NLP basically correspond to Context-free Grammars(CFG) in formal Language theory. And, in case the CFG corresponding to the NLP task is ambiguous , then corresponding to a single sentence (more formally derivation ), there can be multiple Parse Trees. Hence, it depends on the grammar whether there can be m...
1
false
accepted_unique_top
2019-03-02T06:56:22Z
programmer
https://ai.stackexchange.com/a/10960
CC BY-SA 4.0
ai.stackexchange.com:q:10958
[TITLE] Can a sentence have different parse trees? [QUESTION] I just read about the concept of a parse tree . In my understanding, a valid parse tree of a sentence needs to be validated by a linguistic expert. So, I concluded, a sentence only has one parse tree. But, is that correct? Is it possible a sentence has mor...
ai.stackexchange.com:a:10964
But, is that correct? Is it possible a sentence has more than one valid parse tree (e.g. constituency-based)? The fact that a single sequence of words can be parsed in different ways depending on context (or "grounding") is a common basis of miscommunication, misunderstanding, innuendo and jokes. One classic NLP-rela...
4
true
accepted_unique_top
2021-01-18T15:48:30Z
Neil Slater
https://ai.stackexchange.com/a/10964
CC BY-SA 4.0
ai.stackexchange.com:q:10975
[TITLE] Why is MSE used over other quadratic loss functions? [QUESTION] So I was wondering, why I have only encountered square loss function also known as MSE. The only nice property of MSE I am so far aware of is its convex nature. But then all equations of the form $x^{2n}$ where $n$ is an integer belongs to the same...
ai.stackexchange.com:a:10976
There is another variant for MSE. You can employ the absolute value of the difference of your hypothesis and the expected output. `MSE` and the absolute difference version, each have a property. The interpretation of the `MSE` is that you have the area of squares which at first are large but after training the predicte...
-1
false
accepted_unique_top
2019-03-03T09:35:53Z
Green Falcon
https://ai.stackexchange.com/a/10976
CC BY-SA 4.0
ai.stackexchange.com:q:10975
[TITLE] Why is MSE used over other quadratic loss functions? [QUESTION] So I was wondering, why I have only encountered square loss function also known as MSE. The only nice property of MSE I am so far aware of is its convex nature. But then all equations of the form $x^{2n}$ where $n$ is an integer belongs to the same...
ai.stackexchange.com:a:15406
I can comment on several properties of MSE and related losses. As you mentioned MSE (aka $l_2$ -loss) is convex which is a great property in optimization in which one can find a single global optimum. MSE is used in linear and non-linear least squares problems which form the basis of many widely used statistical metho...
1
true
accepted_unique_top
2019-09-12T18:56:07Z
Anuar Y
https://ai.stackexchange.com/a/15406
CC BY-SA 4.0
ai.stackexchange.com:q:11016
[TITLE] What does 'acting greedily' mean? [QUESTION] I wanted to clarify the term 'acting greedily'. What does it mean? Does it correspond to the immediate reward, future reward or both combined? I want to know the actions that will be taken in 2 cases: - $v_\pi(s)$ is known and $R_s$ is also known (only). - $q_{\pi}...
ai.stackexchange.com:a:11017
In general, a greedy "action" is an action that would lead to an immediate "benefit". For example, the Dijkstra's algorithm can be considered a greedy algorithm because at every step it selects the node with the smallest "estimate" to the initial (or starting) node. In reinforcement learning, a greedy action often refe...
2
false
accepted_unique_top
2019-03-05T16:49:17Z
nbro
https://ai.stackexchange.com/a/11017
CC BY-SA 4.0
ai.stackexchange.com:q:11016
[TITLE] What does 'acting greedily' mean? [QUESTION] I wanted to clarify the term 'acting greedily'. What does it mean? Does it correspond to the immediate reward, future reward or both combined? I want to know the actions that will be taken in 2 cases: - $v_\pi(s)$ is known and $R_s$ is also known (only). - $q_{\pi}...
ai.stackexchange.com:a:11018
In RL, the phrase "acting greedily" is usually short for "acting greedily with respect to the value function". Greedy local optimisation turns up in other contexts, and it is common to specify what metric is being maximised or minimised. The value function is most often the discounted sum of expected future reward, and...
3
true
accepted_unique_top
2020-06-17T09:57:20Z
Neil Slater
https://ai.stackexchange.com/a/11018
CC BY-SA 4.0
ai.stackexchange.com:q:11016
[TITLE] What does 'acting greedily' mean? [QUESTION] I wanted to clarify the term 'acting greedily'. What does it mean? Does it correspond to the immediate reward, future reward or both combined? I want to know the actions that will be taken in 2 cases: - $v_\pi(s)$ is known and $R_s$ is also known (only). - $q_{\pi}...
ai.stackexchange.com:a:11023
Acting greedily means that the search is not forward thinking and limits its decisions solely on immediate return. It is not quite the same as what is meant in human social contexts in that greed in that context can involve forward thinking strategies that sacrifice short term losses for long term gain. In the typical ...
1
false
accepted_unique_top
2019-03-05T12:24:06Z
Douglas Daseeco
https://ai.stackexchange.com/a/11023
CC BY-SA 4.0
ai.stackexchange.com:q:11043
[TITLE] Where can I find an implementation of the wake-sleep algorithm? [QUESTION] I'm looking to build from scratch an implementation of the wake-sleep algorithm , for unsupervised learning with neural networks. I plan on doing this in Python in order to better understand how it works. In order to facilitate my task, ...
ai.stackexchange.com:a:11051
I don't know if you are looking for something in a library, but I've found this in a public Github (I've not checked deeply if it fits for you). I hope that's what you're looking for.
1
false
accepted_unique_top
2019-03-06T10:45:51Z
Angelo
https://ai.stackexchange.com/a/11051
CC BY-SA 4.0
ai.stackexchange.com:q:11043
[TITLE] Where can I find an implementation of the wake-sleep algorithm? [QUESTION] I'm looking to build from scratch an implementation of the wake-sleep algorithm , for unsupervised learning with neural networks. I plan on doing this in Python in order to better understand how it works. In order to facilitate my task, ...
ai.stackexchange.com:a:12471
I found the following detailed and well documented Python notebook , which uses only NumPy.
3
true
accepted_unique_top
2019-11-18T18:54:56Z
TheCG
https://ai.stackexchange.com/a/12471
CC BY-SA 4.0
ai.stackexchange.com:q:11074
[TITLE] Why does a fully connected layer only accept a fixed input size? [QUESTION] I'm studying how SPP (Spatial, Pyramid, Pooling) works. SPP was invented to tackle the fix input image size in CNN. According to the original paper https://arxiv.org/pdf/1406.4729.pdf , the authors say: convolutional layers do not requ...
ai.stackexchange.com:a:11075
A convolutional layer is a layer where you slide a kernel or filter (which you can think of as a small square matrix of weights, which need to be learned during the learning phase) over the input. In practice, when you need to slide this kernel, you will often need to specify the "padding" (around the input) and "strid...
1
true
accepted_unique_top
2019-03-07T09:19:46Z
nbro
https://ai.stackexchange.com/a/11075
CC BY-SA 4.0
ai.stackexchange.com:q:11074
[TITLE] Why does a fully connected layer only accept a fixed input size? [QUESTION] I'm studying how SPP (Spatial, Pyramid, Pooling) works. SPP was invented to tackle the fix input image size in CNN. According to the original paper https://arxiv.org/pdf/1406.4729.pdf , the authors say: convolutional layers do not requ...
ai.stackexchange.com:a:11076
It doesn't have to be so. Fully connected layer could be considered as convolutional layer with input image of 1 pixel and spatial kernel size of 1 pixel. So 1-pixel kernel convolutional layer is effectively the same as fully connected layer attached to each pixel. That is idea behind "Fully Convolutional Networks". If...
0
false
accepted_unique_top
2019-03-07T10:28:09Z
mirror2image
https://ai.stackexchange.com/a/11076
CC BY-SA 4.0
ai.stackexchange.com:q:11081
[TITLE] Difference in continuing and episodic cases in Sutton and Barto - Introduction to RL, exercise 3.5 [QUESTION] Excercise 3.5 The equastions in Section 3.1 are for the continuing case and need to be modified (very slightly) to apply to episodic tasks. Show that you know the modifications needed by giving the modi...
ai.stackexchange.com:a:11086
Is it just about final states? So for $s \in S$ when S is not final? You are thinking the right way, but to represent what you mean you don't need to write out "when $s$ is not final" - although that would be fine (and is used in some places), there is a more concise way of saying that given to you by the book. As th...
2
true
accepted_unique_top
2019-03-07T16:41:06Z
Neil Slater
https://ai.stackexchange.com/a/11086
CC BY-SA 4.0
ai.stackexchange.com:q:11081
[TITLE] Difference in continuing and episodic cases in Sutton and Barto - Introduction to RL, exercise 3.5 [QUESTION] Excercise 3.5 The equastions in Section 3.1 are for the continuing case and need to be modified (very slightly) to apply to episodic tasks. Show that you know the modifications needed by giving the modi...
ai.stackexchange.com:a:11868
I found myself turning in cycles for a while, so to clarify Neil Slater's answer, In the beginning of the book, $S$ means "set of non-terminal states" and $S^+$ means "set of all states, including the terminal ones". $$\sum_{s^{\prime} \in S} \sum_{r \in R} p(s^{\prime}, r | s,a) = 1, \forall s \in S, a \in A(s) \tag...
0
false
accepted_unique_top
2019-04-17T18:23:17Z
Gigi
https://ai.stackexchange.com/a/11868
CC BY-SA 4.0
ai.stackexchange.com:q:11166
[TITLE] What is geometric deep learning? [QUESTION] What is geometric deep learning (GDL)? Here are a few sub-questions - How is it different from deep learning? - Why do we need GDL? - What are some applications of GDL? [TAGS] deep-learning, definitions, geometric-deep-learning, graph-neural-networks, graphs
ai.stackexchange.com:a:11201
The article Geometric deep learning: going beyond Euclidean data (by Michael M. Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, Pierre Vandergheynst) provides an overview of this relatively new sub-field of deep learning. It answers all the questions asked above (and more). If you are familiar with deep learning, grap...
8
true
accepted_below_top
2021-02-03T01:27:19Z
nbro
https://ai.stackexchange.com/a/11201
CC BY-SA 4.0
ai.stackexchange.com:q:11166
[TITLE] What is geometric deep learning? [QUESTION] What is geometric deep learning (GDL)? Here are a few sub-questions - How is it different from deep learning? - Why do we need GDL? - What are some applications of GDL? [TAGS] deep-learning, definitions, geometric-deep-learning, graph-neural-networks, graphs
ai.stackexchange.com:a:11252
To complete the first answer that is rather graph oriented, I will write a little about deep learning on manifolds, which is quite general in terms of GDL thanks to the nature of manifolds. Note that the description of GDL through the explanation of what are DL on graphs and manifolds, in opposition to DL on euclidean...
20
false
accepted_below_top
2019-03-19T08:41:01Z
user22176
https://ai.stackexchange.com/a/11252
CC BY-SA 4.0
ai.stackexchange.com:q:11166
[TITLE] What is geometric deep learning? [QUESTION] What is geometric deep learning (GDL)? Here are a few sub-questions - How is it different from deep learning? - Why do we need GDL? - What are some applications of GDL? [TAGS] deep-learning, definitions, geometric-deep-learning, graph-neural-networks, graphs
ai.stackexchange.com:a:30369
I didn't read the paper in depth, but one example of where assumptions of Euclidean space are made in the design of the networks are with ConvNets in image processing. Specifically, Euclidean spaces are transformationally invariant, meaning that $d(a,b) = d(a+c,b+c)$ . Each convolution layer iterates over the image wi...
0
false
accepted_below_top
2021-08-25T15:45:22Z
k.c. sayz 'k.c sayz'
https://ai.stackexchange.com/a/30369
CC BY-SA 4.0
ai.stackexchange.com:q:11182
[TITLE] Unable to understand the second iteration update in value iteration algorithm for solving MDP [QUESTION] I am trying to understand the value iteration method for Markov Decision Process(MDP) and I was referring to UC Berkeley's slides titled Markov Decision Processes and Exact Solution Methods On slide no. 9, ...
ai.stackexchange.com:a:11183
First thing to know is that, in this case, values for the gridworld in new iteration are completely calculated with respect to the old values from the previous iteration. Value of $0.78$ is got like this: $0.9 \cdot (0.8 \cdot 1 + 0.1 \cdot 0.72 + 0.1 \cdot 0) = 0.7848 \approx 0.78$ term $0.8 \cdot 1$ is for going to...
2
true
accepted_unique_top
2019-03-12T22:05:07Z
Brale
https://ai.stackexchange.com/a/11183
CC BY-SA 4.0
ai.stackexchange.com:q:11182
[TITLE] Unable to understand the second iteration update in value iteration algorithm for solving MDP [QUESTION] I am trying to understand the value iteration method for Markov Decision Process(MDP) and I was referring to UC Berkeley's slides titled Markov Decision Processes and Exact Solution Methods On slide no. 9, ...
ai.stackexchange.com:a:46142
In second iteration, using the bellman equation, for (3,3), we got 0.8[0+(0.9)(1)]+0.1[0+(0.9)(0.72)]+0.1[0+(0.9)(0)] = 0.78 for (3,2), we got 0.8[0 + 0.9(0.72)] + 0.1[0 + 0.9(0)] + 0.1[0 + 0.9(-1)] = 0.43 for (2,3), we got 0.8[0 + 0.9(0.72)] + 0.1[0 + 0.9(0)] + 0.1[0 + 0.9(0)] = 0.52
0
false
accepted_unique_top
2024-07-03T07:07:11Z
Md. Foysal Ahmed
https://ai.stackexchange.com/a/46142
CC BY-SA 4.0
ai.stackexchange.com:q:11219
[TITLE] Do we have to use CNN for Deep Q Learning? [QUESTION] I read top articles on Google Search about Deep Q-Learning: - https://medium.freecodecamp.org/an-introduction-to-deep-q-learning-lets-play-doom-54d02d8017d8 - https://skymind.ai/wiki/deep-reinforcement-learning - https://neuro.cs.ut.ee/demystifying-deep-r...
ai.stackexchange.com:a:11221
No. DQN and other deep RL methods work well with fully connected layers. Here's an implementation of DQN which doesn't use CNNs: github.com/keon/deep-q-learning/blob/master/dqn.py DeepMind mostly use CNN because they use image as input state, and that because they tried to evaluate performance of their methods vs huma...
10
true
accepted_unique_top
2019-03-15T13:38:47Z
mirror2image
https://ai.stackexchange.com/a/11221
CC BY-SA 4.0
ai.stackexchange.com:q:11219
[TITLE] Do we have to use CNN for Deep Q Learning? [QUESTION] I read top articles on Google Search about Deep Q-Learning: - https://medium.freecodecamp.org/an-introduction-to-deep-q-learning-lets-play-doom-54d02d8017d8 - https://skymind.ai/wiki/deep-reinforcement-learning - https://neuro.cs.ut.ee/demystifying-deep-r...
ai.stackexchange.com:a:11308
The approximator can be any artificial neural network architecture, including deep fully-connected networks.
0
false
accepted_unique_top
2019-03-22T09:10:32Z
Bionic Buffulo
https://ai.stackexchange.com/a/11308
CC BY-SA 4.0
ai.stackexchange.com:q:11226
[TITLE] What is non-Euclidean data? [QUESTION] What is non-Euclidean data? Here are some sub-questions - Where does this type of data arise? I have come across this term in the context of geometric deep learning and graph neural networks. - Apparently, graphs and manifolds are non-Euclidean data. Why exactly is that...
ai.stackexchange.com:a:11259
Non-Euclidian geometry can be generally boiled down to the phrase the shortest path between 2 points isn't necessarily a straight line. Or, put in a way that lends itself very much to machine learning, things that are similar to each other are not necessarily close if one uses Euclidean distance as a metric (aka the...
10
false
accepted_unique_top
2020-07-10T11:50:16Z
Jaden Travnik
https://ai.stackexchange.com/a/11259
CC BY-SA 4.0
ai.stackexchange.com:q:11226
[TITLE] What is non-Euclidean data? [QUESTION] What is non-Euclidean data? Here are some sub-questions - Where does this type of data arise? I have come across this term in the context of geometric deep learning and graph neural networks. - Apparently, graphs and manifolds are non-Euclidean data. Why exactly is that...
ai.stackexchange.com:a:20628
I presume this question was prompted by the paper Geometric deep learning: going beyond Euclidean data (2017). If we look at its abstract: Many scientific fields study data with an underlying structure that is a non-Euclidean space. Some examples include social networks in computational social sciences, sensor network...
16
true
accepted_unique_top
2020-04-25T18:59:57Z
End genocide - save Gaza
https://ai.stackexchange.com/a/20628
CC BY-SA 4.0
ai.stackexchange.com:q:11226
[TITLE] What is non-Euclidean data? [QUESTION] What is non-Euclidean data? Here are some sub-questions - Where does this type of data arise? I have come across this term in the context of geometric deep learning and graph neural networks. - Apparently, graphs and manifolds are non-Euclidean data. Why exactly is that...
ai.stackexchange.com:a:22432
As far as I understand, the concept of non-Euclidean space doesn't bring the ordinality or hierarchy among the features, compared to that with the data formed in the Euclidean space. The difference between both these techniques is not remarkable for discriminative tasks like classification. But, for generative modelin...
0
false
accepted_unique_top
2020-07-10T11:51:44Z
Devansh Khandekar
https://ai.stackexchange.com/a/22432
CC BY-SA 4.0
ai.stackexchange.com:q:11226
[TITLE] What is non-Euclidean data? [QUESTION] What is non-Euclidean data? Here are some sub-questions - Where does this type of data arise? I have come across this term in the context of geometric deep learning and graph neural networks. - Apparently, graphs and manifolds are non-Euclidean data. Why exactly is that...
ai.stackexchange.com:a:30368
It's hard to say because Euclidean space is defined with respect to some kind of metric, so without any clearer exposition on the nature of the data/problem, the phrase itself may or may not be clear. A metric $d: A \times A \rightarrow \mathbb{R}$ is a function that defines distance between any two points in the spa...
1
false
accepted_unique_top
2021-08-25T15:33:09Z
k.c. sayz 'k.c sayz'
https://ai.stackexchange.com/a/30368
CC BY-SA 4.0
ai.stackexchange.com:q:11226
[TITLE] What is non-Euclidean data? [QUESTION] What is non-Euclidean data? Here are some sub-questions - Where does this type of data arise? I have come across this term in the context of geometric deep learning and graph neural networks. - Apparently, graphs and manifolds are non-Euclidean data. Why exactly is that...
ai.stackexchange.com:a:35228
Where does this type of data arise? In terms of learning on non-Euclidean data, it was probably first coined by prof. Bronstein here . Recently, prof. Bronstein published, along with other top authors in the field, a book about geometric deep learning, which in essence presents a unified mathematical framework for sym...
1
false
accepted_unique_top
2022-04-16T20:43:02Z
Andrei-Cristian Rad
https://ai.stackexchange.com/a/35228
CC BY-SA 4.0
ai.stackexchange.com:q:11285
[TITLE] What is the difference between latent and embedding spaces? [QUESTION] In general, the word "latent" means "hidden" and "to embed" means "to incorporate". In machine learning, the expressions "hidden (or latent) space" and "embedding space" occur in several contexts. More specifically, an embedding can refer to...
ai.stackexchange.com:a:11287
When it comes to normal layman terms "latent space" means it cannot be accessed, thus we have no direct control over it. We can only manipulate it indirectly, while "Embeddings" can be obtained directly. We can use deterministic operations or transformations to convert an object into its corresponding embedding space. ...
11
false
accepted_unique_top
2019-05-24T12:19:18Z
user9947
https://ai.stackexchange.com/a/11287
CC BY-SA 4.0
ai.stackexchange.com:q:11285
[TITLE] What is the difference between latent and embedding spaces? [QUESTION] In general, the word "latent" means "hidden" and "to embed" means "to incorporate". In machine learning, the expressions "hidden (or latent) space" and "embedding space" occur in several contexts. More specifically, an embedding can refer to...
ai.stackexchange.com:a:12507
The expression "latent space" explicitly indicates that the space is associated with the mathematical concept of an hidden (or latent) variable, which cannot be observed directly, but only indirectly. The expression "embedding space" refers to a vector space that represents an original space of inputs (e.g. images or ...
6
false
accepted_unique_top
2019-05-24T12:22:09Z
nbro
https://ai.stackexchange.com/a/12507
CC BY-SA 4.0
ai.stackexchange.com:q:11285
[TITLE] What is the difference between latent and embedding spaces? [QUESTION] In general, the word "latent" means "hidden" and "to embed" means "to incorporate". In machine learning, the expressions "hidden (or latent) space" and "embedding space" occur in several contexts. More specifically, an embedding can refer to...
ai.stackexchange.com:a:20646
Embedding vs Latent Space Due to Machine Learning's recent and rapid renaissance, and the fact that it draws from many distinct areas of mathematics, statistics, and computer science, it often has a number of different terms for the same or similar concepts. "Latent space" and "embedding" both refer to an (often lowe...
38
true
accepted_unique_top
2020-12-31T17:43:22Z
End genocide - save Gaza
https://ai.stackexchange.com/a/20646
CC BY-SA 4.0
ai.stackexchange.com:q:11285
[TITLE] What is the difference between latent and embedding spaces? [QUESTION] In general, the word "latent" means "hidden" and "to embed" means "to incorporate". In machine learning, the expressions "hidden (or latent) space" and "embedding space" occur in several contexts. More specifically, an embedding can refer to...
ai.stackexchange.com:a:20712
The words latent space and embedding space are often used interchangeably. However, latent space can more specifically refer to the sample space of a stochastic representation, whereas embedding space more often refers to the space of a deterministic representation. This comes from latent referring to an unobserved ra...
0
false
accepted_unique_top
2020-04-28T04:00:17Z
danijar
https://ai.stackexchange.com/a/20712
CC BY-SA 4.0
ai.stackexchange.com:q:11285
[TITLE] What is the difference between latent and embedding spaces? [QUESTION] In general, the word "latent" means "hidden" and "to embed" means "to incorporate". In machine learning, the expressions "hidden (or latent) space" and "embedding space" occur in several contexts. More specifically, an embedding can refer to...
ai.stackexchange.com:a:28319
To give a statistician's answer, the distinction is empirical (embedding) versus theoretical (latent positions). You define a statistical model which has latent positions that you could then try to estimate, given data. Or, given data, you might simply find a vector representation of each object of interest in a way th...
1
false
accepted_unique_top
2021-06-18T14:25:33Z
PRD
https://ai.stackexchange.com/a/28319
CC BY-SA 4.0
ai.stackexchange.com:q:11293
[TITLE] What determines the values of weights in a neural network? [QUESTION] I am trying to understand how weights are actually gotten. What is generating them in a neural network? What is the algorithm that gives them certain values? [TAGS] machine-learning, neural-networks, neurons
ai.stackexchange.com:a:11294
Typically, weights are randomly initialized. Then, as the model is optimized for its given task, those weights are steadily made "better" as determined by the network's loss function . This is also referred to as "training" the neural network. By far the most popular way of updating weights in a neural net is the back...
5
true
accepted_unique_top
2019-03-17T19:55:17Z
Philip Raeisghasem
https://ai.stackexchange.com/a/11294
CC BY-SA 4.0
ai.stackexchange.com:q:11293
[TITLE] What determines the values of weights in a neural network? [QUESTION] I am trying to understand how weights are actually gotten. What is generating them in a neural network? What is the algorithm that gives them certain values? [TAGS] machine-learning, neural-networks, neurons
ai.stackexchange.com:a:11295
I agree with @PhilipRaeisghasem, in most architectures, weights are initialized in a random manner. However, some research papers suggest applying a random normal distribution initialization to the weights in the case of Convolutional Neural Networks (for computer vision).
0
false
accepted_unique_top
2019-03-17T21:44:44Z
iustin
https://ai.stackexchange.com/a/11295
CC BY-SA 4.0
ai.stackexchange.com:q:113
[TITLE] What's the difference between hyperbolic tangent and sigmoid neurons? [QUESTION] Two common activation functions used in deep learning are the hyperbolic tangent function and the sigmoid activation function. I understand that the hyperbolic tangent is just a rescaling and translation of the sigmoid function: $...
ai.stackexchange.com:a:119
I don't think it makes sense to decide activation functions based on desired properties of the output; you can easily insert a calibration step that maps the 'neural network score' to whatever units you actually want to use (dollars, probability, etc.). So I think preference between different activation functions most...
3
false
accepted_unique_top
2016-08-02T19:28:00Z
Matthew Gray
https://ai.stackexchange.com/a/119
CC BY-SA 3.0
ai.stackexchange.com:q:113
[TITLE] What's the difference between hyperbolic tangent and sigmoid neurons? [QUESTION] Two common activation functions used in deep learning are the hyperbolic tangent function and the sigmoid activation function. I understand that the hyperbolic tangent is just a rescaling and translation of the sigmoid function: $...
ai.stackexchange.com:a:5572
Sigmoid > Hyperbolic tangent: As you mentioned, the application of Sigmoid might be more convenient than hyperbolic tangent in the cases that we need a probability value at the output (as @matthew-graves says, we can fix this with a simple mapping/calibration step). In other layers, this makes no sense. Hyperbolic ta...
5
true
accepted_unique_top
2019-04-02T18:31:34Z
Borhan Kazimipour
https://ai.stackexchange.com/a/5572
CC BY-SA 4.0
ai.stackexchange.com:q:11342
[TITLE] How to chose dense layer size? [QUESTION] I am fine-tuning a VGG16 model on 20 classes with 500k images I was wondering how do you chose the size of the dense layer (the one before the prediction layer which has a size 20). I would prefer not to do a grid search seeing how long it take to train my model. Also ...
ai.stackexchange.com:a:11343
It's depend more on number of classes. For 20 classes 2 layers 512 should be more then enough. If you want to experiment you can try also 2 x 256 and 2 x 1024. Less then 256 may work too, but you may underutilize power of previous conv layers.
3
true
accepted_tied_top
2019-03-20T11:20:55Z
mirror2image
https://ai.stackexchange.com/a/11343
CC BY-SA 4.0
ai.stackexchange.com:q:11342
[TITLE] How to chose dense layer size? [QUESTION] I am fine-tuning a VGG16 model on 20 classes with 500k images I was wondering how do you chose the size of the dense layer (the one before the prediction layer which has a size 20). I would prefer not to do a grid search seeing how long it take to train my model. Also ...
ai.stackexchange.com:a:26438
I am also wondering about this. It must depend both on convolutional sub-network output size (N) and number of classes (M). Maybe there are some rules of thumbs depending on (N, M). - Why 2 dense layers and not, say, 3 or 4 ? - Is it better to have all dense layers (except last) the same size ? or decreasing ? or inc...
3
false
accepted_tied_top
2021-02-18T12:17:39Z
lostdatum
https://ai.stackexchange.com/a/26438
CC BY-SA 4.0
ai.stackexchange.com:q:11350
[TITLE] Reinforcement Learning with long term rewards and fixed states and actions [QUESTION] I have read a lot about RL algorithms, that update the action-value function at each step with the currently gained reward. The requirement here is, that the reward is obtained after each step. I have a case, where I have thr...
ai.stackexchange.com:a:11351
You don't need to have a reward on every single timestep, reward at the end is enough. Reinforcement learning can deal with temporal credit assignment problem, all algorithms are designed to work with it. Its enough to define a reward at the end where you, for example, give a reward of 1 if sentence is satisfactory or ...
4
false
accepted_tied_top
2019-03-20T22:49:12Z
Brale
https://ai.stackexchange.com/a/11351
CC BY-SA 4.0
ai.stackexchange.com:q:11350
[TITLE] Reinforcement Learning with long term rewards and fixed states and actions [QUESTION] I have read a lot about RL algorithms, that update the action-value function at each step with the currently gained reward. The requirement here is, that the reward is obtained after each step. I have a case, where I have thr...
ai.stackexchange.com:a:11352
You are describing a straightforward Markov Decision Process that could be solved by almost any Reinforcement Learning algorithm. I have read a lot about RL algorithms, that update the action-value function at each step with the currently gained reward. The requirement here is, that the reward is obtained after each s...
4
true
accepted_tied_top
2019-03-21T08:11:38Z
Neil Slater
https://ai.stackexchange.com/a/11352
CC BY-SA 4.0