From 8610e9265cebfa546758054dc15584a3911d1301 Mon Sep 17 00:00:00 2001 From: MrCrowley21 Date: Thu, 10 Aug 2023 18:22:19 +0300 Subject: [PATCH 01/10] add: Add DBN article --- .idea/.gitignore | 3 + .idea/DBN.iml | 8 + .idea/inspectionProfiles/Project_Default.xml | 14 ++ .../inspectionProfiles/profiles_settings.xml | 6 + .idea/misc.xml | 7 + .idea/modules.xml | 8 + .idea/vcs.xml | 6 + DBN_article.md | 187 ++++++++++++++++++ dbn_1.jpg | Bin 0 -> 57398 bytes dbn_2.png | Bin 0 -> 13695 bytes dbn_3.jpg | Bin 0 -> 52874 bytes dbn_4.png | Bin 0 -> 8261 bytes dbn_5.png | Bin 0 -> 34395 bytes dbn_6.jpg | Bin 0 -> 15145 bytes img.png | Bin 0 -> 205 bytes 15 files changed, 239 insertions(+) create mode 100644 .idea/.gitignore create mode 100644 .idea/DBN.iml create mode 100644 .idea/inspectionProfiles/Project_Default.xml create mode 100644 .idea/inspectionProfiles/profiles_settings.xml create mode 100644 .idea/misc.xml create mode 100644 .idea/modules.xml create mode 100644 .idea/vcs.xml create mode 100644 DBN_article.md create mode 100644 dbn_1.jpg create mode 100644 dbn_2.png create mode 100644 dbn_3.jpg create mode 100644 dbn_4.png create mode 100644 dbn_5.png create mode 100644 dbn_6.jpg create mode 100644 img.png diff --git a/.idea/.gitignore b/.idea/.gitignore new file mode 100644 index 0000000..26d3352 --- /dev/null +++ b/.idea/.gitignore @@ -0,0 +1,3 @@ +# Default ignored files +/shelf/ +/workspace.xml diff --git a/.idea/DBN.iml b/.idea/DBN.iml new file mode 100644 index 0000000..d0876a7 --- /dev/null +++ b/.idea/DBN.iml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/.idea/inspectionProfiles/Project_Default.xml b/.idea/inspectionProfiles/Project_Default.xml new file mode 100644 index 0000000..c07669a --- /dev/null +++ b/.idea/inspectionProfiles/Project_Default.xml @@ -0,0 +1,14 @@ + + + + \ No newline at end of file diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml new file mode 100644 index 0000000..105ce2d --- /dev/null +++ b/.idea/inspectionProfiles/profiles_settings.xml @@ -0,0 +1,6 @@ + + + + \ No newline at end of file diff --git a/.idea/misc.xml b/.idea/misc.xml new file mode 100644 index 0000000..e01bcf5 --- /dev/null +++ b/.idea/misc.xml @@ -0,0 +1,7 @@ + + + + + + \ No newline at end of file diff --git a/.idea/modules.xml b/.idea/modules.xml new file mode 100644 index 0000000..fd267e6 --- /dev/null +++ b/.idea/modules.xml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/.idea/vcs.xml b/.idea/vcs.xml new file mode 100644 index 0000000..94a25f7 --- /dev/null +++ b/.idea/vcs.xml @@ -0,0 +1,6 @@ + + + + + + \ No newline at end of file diff --git a/DBN_article.md b/DBN_article.md new file mode 100644 index 0000000..5fa7cba --- /dev/null +++ b/DBN_article.md @@ -0,0 +1,187 @@ +# Deep Belief Network + +   In the modern landscape of innovation and technology, Artificial Intelligence (AI) invaded most +transformative and captivating advancements of our life. Starting with predictions on data, +classifying things into categories, and ending with pictures and music generation, AI is just +everywhere. One of the most outstanding application of AI is stuff creation (a.k.a. generation). +Today we will dive in discover one of the generative networks: Deep Belief Network (DBN). + + +## Introduction + +   Before we get into more specifics of DBNs, let’s go briefly from +some general concepts for a better understanding. It is common +practice to divide Machine Learning models into discriminative +and generative ones. As it might me concluded from the names, +discriminative models aim to separate data points into different +classes, while generative ones – to generate data points. +Generative models are usually used in unsupervised learning +problems as they are trained on inputs without their labels. +DBNs, that will be discussed today, are a type of deep learning +architecture that combine neural networks and unsupervised +learning. + +
+ Fast_Learning +
+ +## What are Deep Belief Networks (DBNs)? + +   Deep Belief Network is a deep learning architecture, composed of +layers of Restricted Boltzmann Machines (RBMs), which are trained +in an unsupervised manner. \ +     A Restricted Boltzmann Machines is a generative unsupervised +model used for feature selection and feature reduction technique, +for dimensionality reduction, classification, regression, and +other tasks in Machine Learning and Deep Learning. It is +learning on a probability distribution on a certain dataset +and used the learnt distribution to come up with conclusions an +unexplored data. A typical RBM architecture is represented below +(where h represents hidden nodes and v – visible nodes). \ + +
+ RBM architecture +
+ +     Coming back to DBNs, all RBMs it consists of, are trained in an +unsupervised manner, one at a time, the output of one of them +being the input for the next one. The output of the final machine +is used either in classification or regression tasks, making the +general DBN architecture look like the one represented below. +The prior reason that lead to the appearance of DBNs is to create +unbiased values stored in leaf nodes and to avoid being stuck in +the local minima. + +
+ DBN architecture +
+ +## DBNs overview + +   However, besides the Standard DBNs described earlier, there might be +distinguished several extensions that incorporate different +structures and components. Therefore, the following are the most +notorious variations of DBNs: +* Convolutional Deep Belief Networks (ConvDBNs) – in addition to RBMs, +incorporates convolutional layers; +* Temporal Deep Belief Networks (Temporal DBNs) – extended Standard DBN +to model sequential and time-series data, incorporating +recurrent connections or temporal dependencies between layers; +* Variational Deep Belief Networks (VDBNs) – use a probabilistic +modeling technique, variational interface, in DBMs, making +multiple layers of hidden units fully connected between +consecutive layers; +* *Stacked Autoencoders - although not a DBN in the traditional +sense, when multiple autoencoders are stacked, they form a deep +architecture that shares a considerate amount of similarities +with Deep Belief Networks. + +## Math base +   Despite the diversity of the existing DBNs, it shouldn’t be +forgotten the fact that all of the share similar “roots”. +Recall that DBN is a network assembled out of many single +networks. Except the first and last layers, others play dual +role serving at the same time as hidden layers that comes before +and as input for the following one [1] . The joint distribution +between the observed vector X and the hidden layers hk may be +expressed using the formula: \ + +
+ Base formula +
+ +, where: +* X = h_0, +* P(hk|hk+1) – a conditional distribution for the visible units +conditioned on the hidden units of the RBM at level k, +* P(hl-1, hl) – visible-hidden joint distribution in the top-level RBM. + +## DBNs Training + +   Before training a DBN, it is necessary to remember that every +individual RBM should be trained. To keep it brief, the +next steps need to be gone through to train the described model: + +1. initiate the units and parameters for this purpose; +2. initialize the number of RBM layers and the size of each of +them, specifying the parameters (weights and biases) and +initialization strategy; +3. pre-train RBM layers – using Greedy learning algorithm, that +implies layer-by-layer approach, determine the relationship +between variables in one layer and variables in layer above; +4. feature extraction – use hidden activation of the final RBM +layer as features that can be used for fine-tuned for specific +tasks; +5. initialize Supervisor Layer – add a supervised layer (usually +softmax) on top of the last RBM layer; +6. fine-tuning – use labeled data and backpropagation to update +entire network parameters, adjusting them to minimize the loss, +optimize the gradient descent, adjusting weights and biases +based on the gradients of the loss with respect to the parameters +(you may perform this step in an iterative manner); +7. ~~word-by-word, say loudly and clearly the spell;~~ +8. evaluate the trained DBN on a validation set; +9. postprocessing – you might add some steps as tresholding or +normalization. + +
+ RBM training +
+ +## Use Cases + +   On broad terms, Deep Belief Networks can be described as more +efficient version of feedforward neural network. There follows a +vast applicability of this type of networks: image recognition, +recognizing, clustering and generating of images, video sequences +and motion-caption data. For example, ConvDBNs are good to use +for tasks that involve grid-like data, such as images, while +Temporal DBNs are better for speech recognition or natural +language processing tasks. To sum up, the fields they are widely +used are: + +* Computer Vision – object recognition and classification; +* NLP – sentiment analysis and text classification; +* Speech recognition - transcribing speech into text; +* Recommendation Systems - giving suggestions based on previous inputs; +* Financial analysis – predicting stock market and how risky some actions are; +* Bioinformatics – predict the interactions between components like proteins, +find new drugs and predict how genes may express. + +## Drawbacks and limits + +   In spite of a lot advantages DBNs brings, they are still a quite +early version of a deep neural network and might be not so +effective as its newest aliases due to a considerable set of +drawbacks, such as: + +* high hardware requirements; +* complex data model that is difficult to train; +* difficult to use by unexperienced people; +* requires of a huge amount of data for a good performance; +* requires classifiers to grasp the output. + +## Conclusion + +   To summarize everything up, Deep Belief Network is an +early-deep-learning-days architecture, composed of multiple +Restricted Boltzmann Machines, aimed to perform classification, +clustering and generation tasks. Due to the presence of RBMs, +trained once at a time, it uses Greedy Algorithm to train each +layer until all RBM are trained and the output can be passed to +supervised learning model. Although it is quite old, it still +has its fields of applicability where it performs considerable +better than other known algorithms, that being one of the reasons +to know about its existence. Not the last, it is just an awesome +algorithm with a unique architecture that might bring you fun +while diving in! + +
+ Closing image +
+ + +## References +[1] - ABIRAMI S., CHITRA P., “The Digital Twin Paradigm for +Smarter Systems and Environments: The Industry Use Cases”, +Advances in Computers, 2020 \ No newline at end of file diff --git a/dbn_1.jpg b/dbn_1.jpg new file mode 100644 index 0000000000000000000000000000000000000000..697abe1819a0a17703b915357a0cc991c3ccf1ac GIT binary patch literal 57398 zcmbTddpJ~U_&+=y6-ja`Vs;Ugm|af09A5KiX_B@ zVPcrcIj5YDgE1o%h8c&kn3*;2+TY*r`n}in{`J1^GOo)t*5SGD=XpN&=l$JGO8C?*kt@;m@u;yLRo|xl2+)V)veXlKb{aNlHmc z?>~4zdcW*`DX9aB2V~{s6%-Wq$tWFCls|M(UP1o9n{3+wU$b-9-d(%)%1cX0%m05q z#9t7yd$!we>)WyI7-GBZwjHwD#7zh!0R; z$C1yXqGO)N#=T5=m713RIwLbT?_K`;f)9m7A{4cZqk7fT4yJTUzw(s1zW2eM_c5T}p z0{`xi-MQ=NncW93+?2Q%Ab0HSlRfemli!xr?^V~cqaCi3!EF9hy$wX&ppZ;lf9ZP<8H4-z~!N#~>EkqVEFOmoKUQu)j+ zmU;m+ZhtE!PM28QoosSaa8`I9jAAD#fSATfM9qK!QL;<5s?sCSc zyi{aT8oJ!3RR`1RM2XZPsE&8D6He{%Cz02vRZQGI`uu2C7h}~|baG5-F^1RS%JYmh zK@|v%KU0T=MtmH{`L|`A!4g6*GGjNVkK@RqYaauaBZ5$%`JK1qVV#E2ejvluZ| 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DBN_article/dbn_1.jpg | Bin dbn_2.png => DBN_article/dbn_2.png | Bin dbn_3.jpg => DBN_article/dbn_3.jpg | Bin dbn_4.png => DBN_article/dbn_4.png | Bin dbn_5.png => DBN_article/dbn_5.png | Bin dbn_6.jpg => DBN_article/dbn_6.jpg | Bin 7 files changed, 0 insertions(+), 0 deletions(-) rename DBN_article.md => DBN_article/DBN_article.md (100%) rename dbn_1.jpg => DBN_article/dbn_1.jpg (100%) rename dbn_2.png => DBN_article/dbn_2.png (100%) rename dbn_3.jpg => DBN_article/dbn_3.jpg (100%) rename dbn_4.png => DBN_article/dbn_4.png (100%) rename dbn_5.png => DBN_article/dbn_5.png (100%) rename dbn_6.jpg => DBN_article/dbn_6.jpg (100%) diff --git a/DBN_article.md b/DBN_article/DBN_article.md similarity index 100% rename from DBN_article.md rename to DBN_article/DBN_article.md diff --git a/dbn_1.jpg b/DBN_article/dbn_1.jpg similarity index 100% rename from dbn_1.jpg rename to DBN_article/dbn_1.jpg diff --git a/dbn_2.png b/DBN_article/dbn_2.png similarity index 100% rename from dbn_2.png rename to DBN_article/dbn_2.png diff --git a/dbn_3.jpg b/DBN_article/dbn_3.jpg similarity index 100% rename from dbn_3.jpg rename to DBN_article/dbn_3.jpg diff --git a/dbn_4.png b/DBN_article/dbn_4.png similarity index 100% rename from dbn_4.png rename to DBN_article/dbn_4.png diff --git a/dbn_5.png b/DBN_article/dbn_5.png similarity index 100% rename from dbn_5.png rename to DBN_article/dbn_5.png diff --git a/dbn_6.jpg b/DBN_article/dbn_6.jpg similarity index 100% rename from dbn_6.jpg rename to DBN_article/dbn_6.jpg From 033f7516dcce755d81243cd49266b5e200c47a9b Mon Sep 17 00:00:00 2001 From: MrCrowley21 Date: Sun, 20 Aug 2023 11:16:52 +0300 Subject: [PATCH 03/10] fix: fixing errors (part 1) --- DBN_article/DBN_article.md | 34 ++++++++++++++--------------- DBN_article/{ => images}/dbn_1.jpg | Bin DBN_article/{ => images}/dbn_2.png | Bin DBN_article/{ => images}/dbn_3.jpg | Bin DBN_article/{ => images}/dbn_4.png | Bin DBN_article/{ => images}/dbn_5.png | Bin DBN_article/{ => images}/dbn_6.jpg | Bin img.png | Bin 205 -> 0 bytes 8 files changed, 16 insertions(+), 18 deletions(-) rename DBN_article/{ => images}/dbn_1.jpg (100%) rename DBN_article/{ => images}/dbn_2.png (100%) rename DBN_article/{ => images}/dbn_3.jpg (100%) rename DBN_article/{ => images}/dbn_4.png (100%) rename DBN_article/{ => images}/dbn_5.png (100%) rename DBN_article/{ => images}/dbn_6.jpg (100%) delete mode 100644 img.png diff --git a/DBN_article/DBN_article.md b/DBN_article/DBN_article.md index 5fa7cba..3ca6ff2 100644 --- a/DBN_article/DBN_article.md +++ b/DBN_article/DBN_article.md @@ -22,7 +22,7 @@ architecture that combine neural networks and unsupervised learning.
- Fast_Learning + Fast_Learning
## What are Deep Belief Networks (DBNs)? @@ -35,17 +35,17 @@ model used for feature selection and feature reduction technique, for dimensionality reduction, classification, regression, and other tasks in Machine Learning and Deep Learning. It is learning on a probability distribution on a certain dataset -and used the learnt distribution to come up with conclusions an +and uses the learnt distribution to come up with conclusions on unexplored data. A typical RBM architecture is represented below -(where h represents hidden nodes and v – visible nodes). \ +(where h represents hidden nodes and v – visible nodes).
- RBM architecture + RBM architecture
-     Coming back to DBNs, all RBMs it consists of, are trained in an -unsupervised manner, one at a time, the output of one of them -being the input for the next one. The output of the final machine +     All RBMs that are a part of a Deep Belief Network, are trained in an +unsupervised manner, one at a time. Thus, the output of one of them +becomes the input for the next one. The output of the final machine is used either in classification or regression tasks, making the general DBN architecture look like the one represented below. The prior reason that lead to the appearance of DBNs is to create @@ -53,7 +53,7 @@ unbiased values stored in leaf nodes and to avoid being stuck in the local minima.
- DBN architecture + DBN architecture
## DBNs overview @@ -71,7 +71,7 @@ recurrent connections or temporal dependencies between layers; modeling technique, variational interface, in DBMs, making multiple layers of hidden units fully connected between consecutive layers; -* *Stacked Autoencoders - although not a DBN in the traditional +* Stacked Autoencoders - although not a DBN in the traditional sense, when multiple autoencoders are stacked, they form a deep architecture that shares a considerate amount of similarities with Deep Belief Networks. @@ -84,17 +84,15 @@ networks. Except the first and last layers, others play dual role serving at the same time as hidden layers that comes before and as input for the following one [1] . The joint distribution between the observed vector X and the hidden layers hk may be -expressed using the formula: \ +expressed using the formula: -
- Base formula -
+$P(x, h^1, ..., h^l) = (\prod_{k = 0}^{l - 2}P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ , where: -* X = h_0, -* P(hk|hk+1) – a conditional distribution for the visible units +* $X$ = h_0, +* $P(h^k|h^{k + 1})$ – a conditional distribution for the visible units conditioned on the hidden units of the RBM at level k, -* P(hl-1, hl) – visible-hidden joint distribution in the top-level RBM. +* $P(h^{l - 1}, h^l)$ – visible-hidden joint distribution in the top-level RBM. ## DBNs Training @@ -125,7 +123,7 @@ based on the gradients of the loss with respect to the parameters normalization.
- RBM training + RBM training
## Use Cases @@ -177,7 +175,7 @@ algorithm with a unique architecture that might bring you fun while diving in!
- Closing image + Closing image
diff --git a/DBN_article/dbn_1.jpg b/DBN_article/images/dbn_1.jpg similarity index 100% rename from DBN_article/dbn_1.jpg rename to DBN_article/images/dbn_1.jpg diff --git a/DBN_article/dbn_2.png b/DBN_article/images/dbn_2.png similarity index 100% rename from DBN_article/dbn_2.png rename to DBN_article/images/dbn_2.png diff --git a/DBN_article/dbn_3.jpg b/DBN_article/images/dbn_3.jpg similarity index 100% rename from DBN_article/dbn_3.jpg rename to DBN_article/images/dbn_3.jpg diff --git a/DBN_article/dbn_4.png b/DBN_article/images/dbn_4.png similarity index 100% rename from DBN_article/dbn_4.png rename to DBN_article/images/dbn_4.png diff --git a/DBN_article/dbn_5.png b/DBN_article/images/dbn_5.png similarity index 100% rename from DBN_article/dbn_5.png rename to DBN_article/images/dbn_5.png diff --git a/DBN_article/dbn_6.jpg b/DBN_article/images/dbn_6.jpg similarity index 100% rename from DBN_article/dbn_6.jpg rename to DBN_article/images/dbn_6.jpg diff --git a/img.png b/img.png deleted file mode 100644 index 26a4f101db379929bf43a27c0de487790d4ca72e..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 205 zcmeAS@N?(olHy`uVBq!ia0y~yVBQ5}>vAvwN&dGDF+ggHr;B4qMcmtihKxYop#@+4 ibGhsn0GR^@8WuBt4`N{a)z`!Wa)YO Date: Sun, 20 Aug 2023 11:20:09 +0300 Subject: [PATCH 04/10] fix: Fixing formula display --- DBN_article/DBN_article.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/DBN_article/DBN_article.md b/DBN_article/DBN_article.md index 3ca6ff2..cb30830 100644 --- a/DBN_article/DBN_article.md +++ b/DBN_article/DBN_article.md @@ -86,10 +86,10 @@ and as input for the following one [1] . The joint distribution between the observed vector X and the hidden layers hk may be expressed using the formula: -$P(x, h^1, ..., h^l) = (\prod_{k = 0}^{l - 2}P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ +$P(x, h^1, ..., h^l) = (\prod_{k=0}^{l-2}P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ , where: -* $X$ = h_0, +* $X$ = $h_0$, * $P(h^k|h^{k + 1})$ – a conditional distribution for the visible units conditioned on the hidden units of the RBM at level k, * $P(h^{l - 1}, h^l)$ – visible-hidden joint distribution in the top-level RBM. From c276da0cdbd4f729ef6b0c959855b55a35be9edf Mon Sep 17 00:00:00 2001 From: MrCrowley21 Date: Sun, 20 Aug 2023 11:21:45 +0300 Subject: [PATCH 05/10] fix: Fixing formula prod display --- DBN_article/DBN_article.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/DBN_article/DBN_article.md b/DBN_article/DBN_article.md index cb30830..0db6cae 100644 --- a/DBN_article/DBN_article.md +++ b/DBN_article/DBN_article.md @@ -86,7 +86,7 @@ and as input for the following one [1] . The joint distribution between the observed vector X and the hidden layers hk may be expressed using the formula: -$P(x, h^1, ..., h^l) = (\prod_{k=0}^{l-2}P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ +$P(x, h^1, ..., h^l) = (\prod_{k=0}^{l-2} P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ , where: * $X$ = $h_0$, From 4bd89961bb85b8aa3c2b38d4e7f9b8bb667b89ff Mon Sep 17 00:00:00 2001 From: MrCrowley21 Date: Sun, 20 Aug 2023 11:26:33 +0300 Subject: [PATCH 06/10] fix: Fixing formula prod (part 2) --- DBN_article/DBN_article.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/DBN_article/DBN_article.md b/DBN_article/DBN_article.md index 0db6cae..b6cd855 100644 --- a/DBN_article/DBN_article.md +++ b/DBN_article/DBN_article.md @@ -86,7 +86,7 @@ and as input for the following one [1] . The joint distribution between the observed vector X and the hidden layers hk may be expressed using the formula: -$P(x, h^1, ..., h^l) = (\prod_{k=0}^{l-2} P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ +$P(x, h^1, ..., h^l) = (\displaystyle\prod^{l-2}_{k=0} P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ , where: * $X$ = $h_0$, From 84a70cfef17f734f061193376350c1cf83e30f76 Mon Sep 17 00:00:00 2001 From: MrCrowley21 Date: Sun, 20 Aug 2023 12:24:44 +0300 Subject: [PATCH 07/10] fix: Adding sources --- DBN_article/DBN_article.md | 63 +++++++++++++------- DBN_article/images/dbn_4.png | Bin 8261 -> 34395 bytes DBN_article/images/{dbn_6.jpg => dbn_5.jpg} | Bin DBN_article/images/dbn_5.png | Bin 34395 -> 0 bytes 4 files changed, 42 insertions(+), 21 deletions(-) rename DBN_article/images/{dbn_6.jpg => dbn_5.jpg} (100%) delete mode 100644 DBN_article/images/dbn_5.png diff --git a/DBN_article/DBN_article.md b/DBN_article/DBN_article.md index b6cd855..51d9085 100644 --- a/DBN_article/DBN_article.md +++ b/DBN_article/DBN_article.md @@ -6,6 +6,16 @@ classifying things into categories, and ending with pictures and music generatio everywhere. One of the most outstanding application of AI is stuff creation (a.k.a. generation). Today we will dive in discover one of the generative networks: Deep Belief Network (DBN). +## Content: +1. [Introduction](#introduction) +2. [What are Deep Belief Networks (DBNs)?](#what-are-deep-belief-networks-dbns) +3. [DBNs Overview](#dbns-overview) +4. [Math Base](#math-base) +5. [DBNs Training](#dbns-training) +6. [Use Cases](#use-cases) +7. [Drawbacks and limits](#drawbacks-and-limits) +8. [Conclusion](#conclusion) + ## Introduction @@ -21,9 +31,10 @@ DBNs, that will be discussed today, are a type of deep learning architecture that combine neural networks and unsupervised learning. -
+

Fast_Learning -

+
Source: https://medium.com/swlh/what-are-rbms-deep-belief-networks-and-why-are-they-important-to-deep-learning-491c7de8937a +

## What are Deep Belief Networks (DBNs)? @@ -33,30 +44,32 @@ in an unsupervised manner. \      A Restricted Boltzmann Machines is a generative unsupervised model used for feature selection and feature reduction technique, for dimensionality reduction, classification, regression, and -other tasks in Machine Learning and Deep Learning. It is +other tasks in Machine Learning and Deep Learning [1]. It is learning on a probability distribution on a certain dataset and uses the learnt distribution to come up with conclusions on unexplored data. A typical RBM architecture is represented below (where h represents hidden nodes and v – visible nodes). -
+

RBM architecture -

+
Source: https://www.javatpoint.com/keras-restricted-boltzmann-machine +

     All RBMs that are a part of a Deep Belief Network, are trained in an -unsupervised manner, one at a time. Thus, the output of one of them +unsupervised manner, one at a time [2]. Thus, the output of one of them becomes the input for the next one. The output of the final machine is used either in classification or regression tasks, making the general DBN architecture look like the one represented below. The prior reason that lead to the appearance of DBNs is to create unbiased values stored in leaf nodes and to avoid being stuck in -the local minima. +the local minima [3]. -
+

DBN architecture -

+
Source: https://www.sciencedirect.com/topics/engineering/deep-belief-network +

-## DBNs overview +## DBNs Overview    However, besides the Standard DBNs described earlier, there might be distinguished several extensions that incorporate different @@ -76,17 +89,17 @@ sense, when multiple autoencoders are stacked, they form a deep architecture that shares a considerate amount of similarities with Deep Belief Networks. -## Math base +## Math Base    Despite the diversity of the existing DBNs, it shouldn’t be forgotten the fact that all of the share similar “roots”. Recall that DBN is a network assembled out of many single networks. Except the first and last layers, others play dual role serving at the same time as hidden layers that comes before -and as input for the following one [1] . The joint distribution +and as input for the following one [4] . The joint distribution between the observed vector X and the hidden layers hk may be expressed using the formula: -$P(x, h^1, ..., h^l) = (\displaystyle\prod^{l-2}_{k=0} P(h^k|h^{k + 1})P(h^{l - 1}, h^l)$ +$P(x, h^1, ..., h^l) = (\displaystyle\prod^{l-2}_{k=0} P(h^k|h^{k + 1})P(h^{l - 1}, h^l))$ , where: * $X$ = $h_0$, @@ -122,9 +135,10 @@ based on the gradients of the loss with respect to the parameters 9. postprocessing – you might add some steps as tresholding or normalization. -
- RBM training -
+

+ RBM training +
Source: https://icecreamlabs.medium.com/deep-belief-networks-all-you-need-to-know-68aa9a71cc53 +

## Use Cases @@ -174,12 +188,19 @@ to know about its existence. Not the last, it is just an awesome algorithm with a unique architecture that might bring you fun while diving in! -
- Closing image -
+

+ Closing image +
Source: https://www.123rf.com/photo_166564781_that-s-all-folks-vintage-movie-ending-screen-background-the-end-vector-illustration-.html +

## References -[1] - ABIRAMI S., CHITRA P., “The Digital Twin Paradigm for -Smarter Systems and Environments: The Industry Use Cases”, +[1] - MEDIUM, _What Are RBMs, Deep Belief Networks and Why Are They Important to Deep Learning?_. +Article. [quoted 29.07.2023]. Access link: https://medium.com/swlh/what-are-rbms-deep-belief-networks-and-why-are-they-important-to-deep-learning-491c7de8937a \ +[2] - JAVATPOINT, _Restricted Boltzmann Machine_. Article. [quoted 30.07.2023]. Access link: +https://www.javatpoint.com/keras-restricted-boltzmann-machine \ +[3] - AL-JABERY K. K., WUNSCH D. C., _Selected approaches to supervised learning_, +Computational Learning Approaches to Data Analytics in Biomedical Applications, 2020 \ +[4] - ABIRAMI S., CHITRA P., _The Digital Twin Paradigm for +Smarter Systems and Environments: The Industry Use Cases_, Advances in Computers, 2020 \ No newline at end of file diff --git a/DBN_article/images/dbn_4.png b/DBN_article/images/dbn_4.png index dfb083391e6cf901523a917a3d2288c1d30d68d8..81e45cfd79bfdf9fe3f4fd9a5dd73bc2e1d2d28f 100644 GIT binary patch literal 34395 zcmY&=bzD?i*e=~j=a3?Zbc4juAtfCOI7mt(EesthsWeClNVjx@bSm8--AJe0HJ0&2WgK1)$^Dea`3+WfTZYG;wp1N!_aMlzs42j-Hu`@94g2TuWs;d+-w^iAmQ5 zRWXt}wP;WPgvxw^Ypn$RA06T3a? zbo;Qv(YROH{&e$8>*LquyAtD zxKZD;3H^9G4q-4_rM|_s2G0-E<~Q(X84U*wyKy!#yEVh2yIaJaf8bnW_WRXSler=M zuYX{{;~>yofkz8%!b?8d^jEyf_6>On(q-XcNOwl^t4k?<2_KWX!IpJ&bZTSvl;@4Z*Hh!bhnCKq! z&S9eG&eNu0=-f?5fubhgtu=Yvc68kKI)bJx5{*v{*$AMQnGJnTCqu$T%>!UXooW)| zQ41*1GmC&RpJ{Twbf~u|AA#O%RWW$}z1lp}43zwPDNB#u?mlNvQ4D7Mnj>JYv9E6B 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will dive in discover one of the generative networks: Deep Belief Netwo 6. [Use Cases](#use-cases) 7. [Drawbacks and limits](#drawbacks-and-limits) 8. [Conclusion](#conclusion) +9. [References](#references) ## Introduction @@ -99,7 +100,9 @@ and as input for the following one [4] . The joint distribution between the observed vector X and the hidden layers hk may be expressed using the formula: +

$P(x, h^1, ..., h^l) = (\displaystyle\prod^{l-2}_{k=0} P(h^k|h^{k + 1})P(h^{l - 1}, h^l))$ +

, where: * $X$ = $h_0$, From 01c5a32a9e895f648089fd7dd591a8b0daad54cd Mon Sep 17 00:00:00 2001 From: MrCrowley21 Date: Thu, 16 Jan 2025 17:52:51 +0200 Subject: [PATCH 09/10] fix: Adding implementation and requested fixes --- .idea/.gitignore | 3 - .idea/DBN.iml | 8 - .idea/inspectionProfiles/Project_Default.xml | 14 - .../inspectionProfiles/profiles_settings.xml | 6 - .idea/misc.xml | 7 - .idea/modules.xml | 8 - .idea/vcs.xml | 6 - DBN_article/DBN_article.md | 318 +++++++++++++--- DBN_article/README.md | 59 +++ .../images/dbn_RBM_train_validation_loss.png | Bin 0 -> 39102 bytes ..._actual_reconstructed_images_10_epochs.png | Bin 0 -> 74075 bytes ...n_actual_reconstructed_images_5_epochs.png | Bin 0 -> 77993 bytes .../images/{dbn_5.jpg => dbn_end_picture.jpg} | Bin .../images/{dbn_3.jpg => dbn_network.jpg} | Bin .../images/{dbn_4.png => dbn_rbm_layers.png} | Bin .../images/{dbn_2.png => dbn_structure.png} | Bin .../{dbn_1.jpg => dbn_suggestive_meme.jpg} | Bin .../images/dbn_train_validation_loss.png | Bin 0 -> 36946 bytes DBN_article/src/dbn_implementation.py | 359 ++++++++++++++++++ DBN_article/src/requirements.txt | 3 + 20 files changed, 694 insertions(+), 97 deletions(-) delete mode 100644 .idea/.gitignore delete mode 100644 .idea/DBN.iml delete mode 100644 .idea/inspectionProfiles/Project_Default.xml delete mode 100644 .idea/inspectionProfiles/profiles_settings.xml delete mode 100644 .idea/misc.xml delete mode 100644 .idea/modules.xml delete mode 100644 .idea/vcs.xml create mode 100644 DBN_article/README.md create mode 100644 DBN_article/images/dbn_RBM_train_validation_loss.png create mode 100644 DBN_article/images/dbn_actual_reconstructed_images_10_epochs.png create mode 100644 DBN_article/images/dbn_actual_reconstructed_images_5_epochs.png rename DBN_article/images/{dbn_5.jpg => dbn_end_picture.jpg} (100%) rename DBN_article/images/{dbn_3.jpg => dbn_network.jpg} (100%) rename DBN_article/images/{dbn_4.png => dbn_rbm_layers.png} (100%) rename DBN_article/images/{dbn_2.png => dbn_structure.png} (100%) rename DBN_article/images/{dbn_1.jpg => dbn_suggestive_meme.jpg} (100%) create mode 100644 DBN_article/images/dbn_train_validation_loss.png create mode 100644 DBN_article/src/dbn_implementation.py create mode 100644 DBN_article/src/requirements.txt diff --git a/.idea/.gitignore b/.idea/.gitignore deleted file mode 100644 index 26d3352..0000000 --- a/.idea/.gitignore +++ /dev/null @@ -1,3 +0,0 @@ -# Default ignored files -/shelf/ -/workspace.xml diff --git a/.idea/DBN.iml b/.idea/DBN.iml deleted file mode 100644 index d0876a7..0000000 --- a/.idea/DBN.iml +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - \ No newline at end of file diff --git a/.idea/inspectionProfiles/Project_Default.xml b/.idea/inspectionProfiles/Project_Default.xml deleted file mode 100644 index c07669a..0000000 --- a/.idea/inspectionProfiles/Project_Default.xml +++ /dev/null @@ -1,14 +0,0 @@ - - - - \ No newline at end of file diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml deleted file mode 100644 index 105ce2d..0000000 --- a/.idea/inspectionProfiles/profiles_settings.xml +++ /dev/null @@ -1,6 +0,0 @@ - - - - \ No newline at end of file diff --git a/.idea/misc.xml b/.idea/misc.xml deleted file mode 100644 index e01bcf5..0000000 --- a/.idea/misc.xml +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - \ No newline at end of file diff --git a/.idea/modules.xml b/.idea/modules.xml deleted file mode 100644 index fd267e6..0000000 --- a/.idea/modules.xml +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - \ No newline at end of file diff --git a/.idea/vcs.xml b/.idea/vcs.xml deleted file mode 100644 index 94a25f7..0000000 --- a/.idea/vcs.xml +++ /dev/null @@ -1,6 +0,0 @@ - - - - - - \ No newline at end of file diff --git a/DBN_article/DBN_article.md b/DBN_article/DBN_article.md index 5ab44fc..20b7dbf 100644 --- a/DBN_article/DBN_article.md +++ b/DBN_article/DBN_article.md @@ -1,10 +1,10 @@ # Deep Belief Network -   In the modern landscape of innovation and technology, Artificial Intelligence (AI) invaded most +   In the modern era of innovation and technology, Artificial Intelligence (AI) invaded most transformative and captivating advancements of our life. Starting with predictions on data, classifying things into categories, and ending with pictures and music generation, AI is just -everywhere. One of the most outstanding application of AI is stuff creation (a.k.a. generation). -Today we will dive in discover one of the generative networks: Deep Belief Network (DBN). +everywhere. One of the most outstanding application of AI is creation (a.k.a. generation). +Today we will dive in to discover one of the generative networks: Deep Belief Network (DBN). ## Content: 1. [Introduction](#introduction) @@ -23,7 +23,7 @@ Today we will dive in discover one of the generative networks: Deep Belief Netwo    Before we get into more specifics of DBNs, let’s go briefly from some general concepts for a better understanding. It is common practice to divide Machine Learning models into discriminative -and generative ones. As it might me concluded from the names, +and generative ones [1]. As it might be concluded from the names, discriminative models aim to separate data points into different classes, while generative ones – to generate data points. Generative models are usually used in unsupervised learning @@ -33,40 +33,40 @@ architecture that combine neural networks and unsupervised learning.

- Fast_Learning + Fast_Learning
Source: https://medium.com/swlh/what-are-rbms-deep-belief-networks-and-why-are-they-important-to-deep-learning-491c7de8937a

## What are Deep Belief Networks (DBNs)? -   Deep Belief Network is a deep learning architecture, composed of -layers of Restricted Boltzmann Machines (RBMs), which are trained -in an unsupervised manner. \ +   Deep Belief Network is a deep learning stochastic architecture, +composed of layers of Restricted Boltzmann Machines (RBMs), which are trained +in an unsupervised manner [2]. \      A Restricted Boltzmann Machines is a generative unsupervised model used for feature selection and feature reduction technique, for dimensionality reduction, classification, regression, and -other tasks in Machine Learning and Deep Learning [1]. It is +other tasks in Machine Learning and Deep Learning [3]. It is learning on a probability distribution on a certain dataset and uses the learnt distribution to come up with conclusions on unexplored data. A typical RBM architecture is represented below (where h represents hidden nodes and v – visible nodes).

- RBM architecture + RBM architecture
Source: https://www.javatpoint.com/keras-restricted-boltzmann-machine

     All RBMs that are a part of a Deep Belief Network, are trained in an -unsupervised manner, one at a time [2]. Thus, the output of one of them +unsupervised manner, one at a time [4]. Thus, the output of one of them becomes the input for the next one. The output of the final machine is used either in classification or regression tasks, making the general DBN architecture look like the one represented below. The prior reason that lead to the appearance of DBNs is to create unbiased values stored in leaf nodes and to avoid being stuck in -the local minima [3]. +the local minima [5].

- DBN architecture + DBN architecture
Source: https://www.sciencedirect.com/topics/engineering/deep-belief-network

@@ -77,10 +77,10 @@ distinguished several extensions that incorporate different structures and components. Therefore, the following are the most notorious variations of DBNs: * Convolutional Deep Belief Networks (ConvDBNs) – in addition to RBMs, -incorporates convolutional layers; +incorporates convolutional layers [6]; * Temporal Deep Belief Networks (Temporal DBNs) – extended Standard DBN to model sequential and time-series data, incorporating -recurrent connections or temporal dependencies between layers; +recurrent connections or temporal dependencies between layers [7]; * Variational Deep Belief Networks (VDBNs) – use a probabilistic modeling technique, variational interface, in DBMs, making multiple layers of hidden units fully connected between @@ -96,7 +96,7 @@ forgotten the fact that all of the share similar “roots”. Recall that DBN is a network assembled out of many single networks. Except the first and last layers, others play dual role serving at the same time as hidden layers that comes before -and as input for the following one [4] . The joint distribution +and as input for the following one [8] . The joint distribution between the observed vector X and the hidden layers hk may be expressed using the formula: @@ -112,37 +112,253 @@ conditioned on the hidden units of the RBM at level k, ## DBNs Training -   Before training a DBN, it is necessary to remember that every -individual RBM should be trained. To keep it brief, the -next steps need to be gone through to train the described model: +   Before training a DBN, it is necessary to remember that it is composed +of multiple Restricted Boltzmann Machines that should be individually trained. +We will analyze a typical structured DBN training using an example of a classification +task of handwritten digits. The data will be obtained from the MNIST dataset. -1. initiate the units and parameters for this purpose; -2. initialize the number of RBM layers and the size of each of +**Step 1. Initiate the units and parameters of the Restricted Boltzmann Machine.** + +To implement an RBM, we create a corresponding class, with the `__init__` function +containing the number of visible and hidden layers, the visible and hidden biases, +and the weight matrix initialization. The Xavier is used to ensure the weights are +initialized properly, which leads to an improved training process. + +```python +class RBM(nn.Module): + def __init__(self, visible_units, hidden_units): + super(RBM, self).__init__() + self.visible_units = visible_units # number of visible units + self.hidden_units = hidden_units # number of hidden units + self.weights = nn.Parameter(torch.empty(hidden_units, visible_units)) # weight matrix + nn.init.xavier_uniform_(self.weights) # weights initialization + self.visible_bias = nn.Parameter(torch.zeros(visible_units)) # bias for the visible units + self.hidden_bias = nn.Parameter(torch.zeros(hidden_units)) # bias for the hidden units +``` + +**Step 2. Initialize the number of RBM layers and the size of each of them, specifying the parameters (weights and biases) and -initialization strategy; -3. pre-train RBM layers – using Greedy learning algorithm, that +initialization strategy.** + +The second step focuses on deciding upon the number of RBM layers in the final model, +specifying the size of each visible and hidden layer, and appropriately initializing +the RBM parameters. + +For the digit classification, we will use a simple model with 784 visible units (as +the images in MNIST dataset are 28x28 pixels) and one hidden layer of 128 units. + +```python +input_dim = 784 +hidden_layers = [128] + +rbm_layers = [] +current_input = train_inputs +current_val_input = val_inputs +for h_units in hidden_layers: + rbm = RBM(input_dim, h_units).to(device) + rbm_layers.append(rbm) # store the RBM + input_dim = h_units # update the input size for the next RBM +``` + +

+ RBM training +
Source: https://icecreamlabs.medium.com/deep-belief-networks-all-you-need-to-know-68aa9a71cc53 +

+ +**Step 3. Pre-train RBM layers – using Greedy learning algorithm, that implies layer-by-layer approach, determine the relationship -between variables in one layer and variables in layer above; -4. feature extraction – use hidden activation of the final RBM +between variables in one layer and variables in layer above.** + +During this step, the RBMs are pre-trained, one by one. Each RBM, trained layer by +layer, is stored in a list for stacking later. + +```python +input_dim = 784 +hidden_layers = [128] + + +rbm_layers = [] +current_input = train_inputs +current_val_input = val_inputs +for h_units in hidden_layers: + rbm = RBM(input_dim, h_units).to(device) + rbm_train_loss, rbm_val_loss = rbm.pretrain(current_input, current_val_input, rbm_batch_size=batch_size) # train RBM + rbm_layers.append(rbm) # store the RBM + input_dim = h_units # update the input size for the next RBM +``` + +The images were reconstructed every five epochs to monitor the process of training +the RBM and how well the model learns new features. Below can be observed the results +after five epochs of training. + +

+ DBN architecture +
The Original and Recreated images after 5 training epochs +

+ +It can be noticed that while it keeps the main characteristics of the original images, +the recreated ones are still blurred, especially compared to the results obtained after +10 epochs of training. It can also be noticed that more training epochs lead to more +defined boundaries of digits, and overall better quality of reconstructions. + +

+ DBN architecture +
The Original and Recreated images after 10 training epochs +

+ +The improvement in RBM performance is also proven by the train and validation loss +dynamic, which shows a decreasing trend, close to 0 in the end. + +

+ DBN architecture +

+ +**Step 4. Feature extraction – use hidden activation of the final RBM layer as features that can be used for fine-tuned for specific -tasks; -5. initialize Supervisor Layer – add a supervised layer (usually -softmax) on top of the last RBM layer; -6. fine-tuning – use labeled data and backpropagation to update -entire network parameters, adjusting them to minimize the loss, -optimize the gradient descent, adjusting weights and biases -based on the gradients of the loss with respect to the parameters -(you may perform this step in an iterative manner); -7. ~~word-by-word, say loudly and clearly the spell;~~ -8. evaluate the trained DBN on a validation set; -9. postprocessing – you might add some steps as tresholding or -normalization. +tasks.** + +This step focuses on the features (hidden activations) extraction from the provided input. +After extracting them, the features will be used as input for the next RBMs. + + +```python +input_dim = 784 +hidden_layers = [128] + +rbm_layers = [] +current_input = train_inputs +current_val_input = val_inputs +for h_units in hidden_layers: + rbm = RBM(input_dim, h_units).to(device) + rbm_train_loss, rbm_val_loss = rbm.pretrain(current_input, current_val_input, rbm_batch_size=batch_size) # train RBM + current_input = rbm.extract_features(current_input) # extracting features + current_val_input = rbm.extract_features(current_val_input) + rbm_layers.append(rbm) # store the RBM + input_dim = h_units # update the input size for the next RBM +``` + +**Step 5. Initialize Supervisor Layer – add a supervised layer (usually +softmax) on top of the last RBM layer.** + +For the next step, we initialize the DBN class, specifying what classifier we will be +using. As we are dealing with a classification problem, we will be using Softmax as the +last activation layer. + +```python +class DBN(nn.Module): + def __init__(self, rbm_layers, output_classes): + super(DBN, self).__init__() + self.rbms = nn.ModuleList(rbm_layers) + self.classifier = nn.Sequential( + nn.Linear(rbm_layers[-1].hidden_units, output_classes), # fully connected layer + nn.Softmax(dim=1), # Softmax for classification + ) + + def forward(self, x): + for rbm in self.rbms: + x = torch.sigmoid(torch.matmul(x, rbm.weights.t()) + rbm.hidden_bias) + return self.classifier(x) +``` + +**Step 6. ~~Word-by-word, say loudly and clearly the spell.~~ Train the model.** + +During this step, the RBMs are used only for feature extraction, while the supervised +layer is trained on labelled data to classify the digits accordingly. + +```python +def train_dbn(dbn, dbn_train_data, dbn_train_labels, dbn_val_data, dbn_val_labels, epochs=25, lr=0.05): + criterion = nn.CrossEntropyLoss() + train_losses, val_losses = [], [] + + for epoch in range(epochs): + dbn.train() + outputs = dbn(dbn_train_data) + train_loss = criterion(outputs, dbn_train_labels) + train_loss.backward() + train_losses.append(train_loss.item()) + + dbn.eval() + with torch.no_grad(): + val_outputs = dbn(dbn_val_data) + val_loss = criterion(val_outputs, dbn_val_labels) + val_losses.append(val_loss.item()) + + print(f"Epoch {epoch + 1}/{epochs}, Train Loss: {train_loss.item():.4f}, Val Loss: {val_loss:.4f}") + + return train_losses, val_losses +``` + +The model was trained for 25 epochs, during which the loss was reduced considerably, +as it can be observed from the diagram provided below.

- RBM training -
Source: https://icecreamlabs.medium.com/deep-belief-networks-all-you-need-to-know-68aa9a71cc53 + DBN architecture

+**Step 7. Fine-tune the model.** + +Use labeled data and backpropagation to update entire network parameters, +adjusting them to minimize the loss, optimize the gradient descent, adjusting weights +and biases based on the gradients of the loss with respect to the parameters, as well +as the number of epochs, hidden layers, or the batch size +(you may perform this step in an iterative manner). + +```python +def train_dbn(dbn, dbn_train_data, dbn_train_labels, dbn_val_data, dbn_val_labels, epochs=25, lr=0.05): + criterion = nn.CrossEntropyLoss() + optimizer = optim.Adam(dbn.parameters(), lr=lr) + train_losses, val_losses = [], [] + + for epoch in range(epochs): + dbn.train() + optimizer.zero_grad() + outputs = dbn(dbn_train_data) + train_loss = criterion(outputs, dbn_train_labels) + train_loss.backward() + optimizer.step() + train_losses.append(train_loss.item()) + + dbn.eval() + with torch.no_grad(): + val_outputs = dbn(dbn_val_data) + val_loss = criterion(val_outputs, dbn_val_labels) + val_losses.append(val_loss.item()) + + print(f"Epoch {epoch + 1}/{epochs}, Train Loss: {train_loss.item():.4f}, Val Loss: {val_loss:.4f}") + + return train_losses, val_losses +``` + +**Step 8. Evaluate the trained DBN on a test set.** + +This step is intended to show the performance of the model, evaluating it against a test +set or, in other words, unseen data. Using the provided source code, it was possible to +achieve an accuracy of 0.94, which is a pretty solid result. + +```python +def evaluate(dbn_model, data, labels): + with torch.no_grad(): + outputs = dbn_model(data) + _, predicted = torch.max(outputs, 1) + accuracy = (predicted == labels).sum().item() / len(labels) + + print(f"Accuracy: {accuracy:.2f}") +``` + +**Step 9. Postprocessing.** + +After performing everything mentioned above you might want to improve the performance +of the model by adding some additional steps as thresholding or normalization. + +```python +# normalization +transform = transforms.Compose([ + transforms.ToTensor(), + transforms.Normalize((0.5,), (0.5,)), + transforms.Lambda(lambda x: (x + 1) / 2) +]) +``` + ## Use Cases    On broad terms, Deep Belief Networks can be described as more @@ -155,7 +371,7 @@ Temporal DBNs are better for speech recognition or natural language processing tasks. To sum up, the fields they are widely used are: -* Computer Vision – object recognition and classification; +* Computer Vision – object recognition and classification [6]; * NLP – sentiment analysis and text classification; * Speech recognition - transcribing speech into text; * Recommendation Systems - giving suggestions based on previous inputs; @@ -192,18 +408,30 @@ algorithm with a unique architecture that might bring you fun while diving in!

- Closing image + Closing image
Source: https://www.123rf.com/photo_166564781_that-s-all-folks-vintage-movie-ending-screen-background-the-end-vector-illustration-.html

## References -[1] - MEDIUM, _What Are RBMs, Deep Belief Networks and Why Are They Important to Deep Learning?_. +[1] - E. ARGOUARC'H, F. DESBOUVRIES, E. BARAT, E. KAWASAKI, +_Generative vs. Discriminative modeling under the lens of uncertainty quantification_, +doi: arXiv.2406.09172. Access link: https://arxiv.org/pdf/2406.09172 \ +[2] - M. ZAMBRA, A. TESTOLIN, M. ZoORZI, _A developmental approach for training deep +belief networks_, doi: arXiv.2207.05473. Access link: https://arxiv.org/pdf/2207.05473 \ +[3] - MEDIUM, _What Are RBMs, Deep Belief Networks and Why Are They Important to Deep Learning?_. Article. [quoted 29.07.2023]. Access link: https://medium.com/swlh/what-are-rbms-deep-belief-networks-and-why-are-they-important-to-deep-learning-491c7de8937a \ -[2] - JAVATPOINT, _Restricted Boltzmann Machine_. Article. [quoted 30.07.2023]. Access link: +[4] - JAVATPOINT, _Restricted Boltzmann Machine_. Article. [quoted 30.07.2023]. Access link: https://www.javatpoint.com/keras-restricted-boltzmann-machine \ -[3] - AL-JABERY K. K., WUNSCH D. C., _Selected approaches to supervised learning_, +[5] - AL-JABERY K. K., WUNSCH D. C., _Selected approaches to supervised learning_, Computational Learning Approaches to Data Analytics in Biomedical Applications, 2020 \ -[4] - ABIRAMI S., CHITRA P., _The Digital Twin Paradigm for +[6] - H. LEE, R. GROSSE, Ra. RANGANATH, A. Y. NG, +_Convolutional Deep Belief Networks for Scalable Unsupervised Learning of Hierarchical Representations_, +doi: 10.1145/1553374.1553453, Access link: https://ai.stanford.edu/~ang/papers/icml09-ConvolutionalDeepBeliefNetworks.pdf? \ +[7] - F.Y ZHOU, J. Q YIN, Y. Yang, H.T. ZHANG, +_Online recognition of human actions based on temporal deep belief neural network_, +doi: 10.16383/j.aas.2016.c150629. +Access link: https://www.researchgate.net/publication/306168057_Online_recognition_of_human_actions_based_on_temporal_deep_belief_neural_network \ +[8] - ABIRAMI S., CHITRA P., _The Digital Twin Paradigm for Smarter Systems and Environments: The Industry Use Cases_, Advances in Computers, 2020 \ No newline at end of file diff --git a/DBN_article/README.md b/DBN_article/README.md new file mode 100644 index 0000000..3ccf044 --- /dev/null +++ b/DBN_article/README.md @@ -0,0 +1,59 @@ +# Deep Belief Network: The hidden hero behind the Deep Learning (r)evolution + +Welcome to an article dedicated to the Deep Belief Network discussion! Be ready to +discover some dark magic and impressive algorithms behind modern generative AI. +## Article Summary + +The proposed article focuses on the discussion of Deep Belief Networks (DBN), a type of +stochastic neural network, one of the first algorithms to prove the feasibility of +unsupervised learning and hidden layers. It highlights the extensive usage of DBNs in +different tasks, such as generation, recognition and feature extraction, focusing the +implementation on digit classification based on the MNIST dataset. + +## Getting Started + +Follow the following steps to check how Deep Belief Networks work for classification +of handwritten digits! + + +1. **Create a New Project**: Create a new empty Python Project on your device and navigate +to the project directory. + + ```sh + cd my-dbn-project + ``` + +2. **Prepare Your Environment**: Before you begin, make sure you have a virtual environment set up for your project. If not, create and activate a virtual environment: + + ```sh + python -m venv dbn_env + source dbn_env/bin/activate # On Windows: .\dbn_env\Scripts\activate + ``` + +3. **Copy the source code**: Inside the empty directory, add the file with the provided +source (`dbn_implementation.py`) code and the requirements (`requirements.txt`). + +4. **Install Requirements**: Inside your virtual environment, install the required packages from the `requirements.txt` file: + + ```sh + pip install -r requirements.txt + ``` + +5. **Run the source code**: To run the source code provided for the DBN, use the command +provided below. It can take some time, as the MNIST dataset should be installed. + + ```sh + python dbn_implementation.py + ``` + +## Next Steps + +Now that you have successfully run the provided source code, consider optimizing some +hyperparameters or making your own DBN implementation for a different task (you may +consider fraud detection or text classification based on topics). + +Make sure to share your achievements with us!😉 + +For any questions or further assistance, reach out to our community. + +Happy coding!✨💙 diff --git a/DBN_article/images/dbn_RBM_train_validation_loss.png b/DBN_article/images/dbn_RBM_train_validation_loss.png new file mode 100644 index 0000000000000000000000000000000000000000..b81edd23fc1277cac1e148480cef14eb81ea714e GIT binary patch literal 39102 zcmdSBbyQW|+ct{&h>8*_h=d>r(x4z+3W5THbcZ0_-C+@ef|Al8-Cdg!DQN{Z9n#X> zb?yZ|@B2IN`NkRJobRvCF&x0&YtJ>;oOfLJbzgJ8mzH{hjYW)wfq{W7_VlqV2F5un z42-j!7ct=#_OqSu;m1EVLSph4;h*b8T_50sU>3m~G 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