{"id":58337,"date":"2025-05-12T17:48:14","date_gmt":"2025-05-12T10:48:14","guid":{"rendered":"https:\/\/bestarion.com\/us\/generative-models-explained\/"},"modified":"2026-06-03T18:16:29","modified_gmt":"2026-06-03T11:16:29","slug":"generative-models-explained","status":"publish","type":"post","link":"https:\/\/bestarion.com\/us\/generative-models-explained\/","title":{"rendered":"Generative Models Explained: VAEs, GANs, Diffusion, Transformers, Autoregressive Models &#038; NeRFs"},"content":{"rendered":"<p style=\"text-align: justify;\" data-start=\"78\" data-end=\"232\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong>Generative models<\/strong> have revolutionized artificial intelligence by enabling machines to create new content\u2014be it images, text, audio, or 3D structures.<\/span> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">This article delves into six prominent generative models: Variational Autoencoders (VAEs), Generative Adversarial Networks (GANs), Diffusion Models, Transformers, Autoregressive Models, and Neural Radiance Fields (NeRFs).<\/span> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">We&#8217;ll explore their architectures, strengths, weaknesses, and real-world applications.<\/span><\/p>\n<p style=\"text-align: justify;\" data-start=\"78\" data-end=\"232\">Read more: <a title=\"Agentic AI Trends in 2025: Navigating the Future of Autonomous Intelligence\" href=\"https:\/\/bestarion.com\/agentic-ai-trends-in-2025\/\">Agentic AI Trends in 2025: Navigating the Future of Autonomous Intelligence<\/a><\/p>\n<h2 style=\"text-align: justify;\" data-start=\"130\" data-end=\"160\"><span class=\"ez-toc-section\" id=\"What_Are_Generative_Models\"><\/span>What Are Generative Models?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: justify;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-58351 aligncenter\" src=\"https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/generative-models_2733355.jpg\" alt=\"Generative Models\" width=\"850\" height=\"500\" title=\"\" srcset=\"https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/generative-models_2733355.jpg 850w, https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/generative-models_2733355-300x176.jpg 300w, https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/generative-models_2733355-768x452.jpg 768w, https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/generative-models_2733355-710x418.jpg 710w\" sizes=\"(max-width: 850px) 100vw, 850px\" \/><\/p>\n<p style=\"text-align: justify;\" data-start=\"162\" data-end=\"563\"><strong>Generative models<\/strong> are a class of machine learning models that learn the underlying distribution of a dataset in order to generate new data samples that resemble the original input data. Unlike discriminative models, which predict labels or outcomes given input data, generative models aim to <strong data-start=\"454\" data-end=\"476\">create new content<\/strong>\u2014such as images, text, audio, or 3D structures\u2014based on the patterns they have learned.<\/p>\n<p style=\"text-align: justify;\" data-start=\"565\" data-end=\"732\">At their core, generative models answer this question:<br data-start=\"619\" data-end=\"622\" \/><strong data-start=\"622\" data-end=\"732\">\u201cGiven what I know about the data, how can I produce something new that still fits the same distribution?\u201d<\/strong><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"734\" data-end=\"758\">Key Characteristics:<\/h3>\n<ul style=\"text-align: justify;\" data-start=\"759\" data-end=\"1225\">\n<li data-start=\"759\" data-end=\"934\">\n<p data-start=\"761\" data-end=\"934\"><strong data-start=\"761\" data-end=\"796\">Learning the data distribution:<\/strong> Generative models try to estimate<\/p>\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P(x)<\/annotation><\/semantics><\/math><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span>, the probability of the data itself, rather than<\/p>\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>P<\/mi><mo stretchy=\"false\">(<\/mo><mi>y<\/mi><mi mathvariant=\"normal\">\u2223<\/mi><mi>x<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">P(y|x)<\/annotation><\/semantics><\/math><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">y<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span>, which is what classifiers do.<\/li>\n<li data-start=\"935\" data-end=\"1078\">\n<p data-start=\"937\" data-end=\"1078\"><strong data-start=\"937\" data-end=\"963\">Sampling capabilities:<\/strong> Once trained, they can generate new, previously unseen samples that look like they came from the original dataset.<\/p>\n<\/li>\n<li data-start=\"1079\" data-end=\"1225\">\n<p data-start=\"1081\" data-end=\"1225\"><strong data-start=\"1081\" data-end=\"1112\">Latent space understanding:<\/strong> Many generative models use a latent (hidden) representation of data to generate meaningful variations of inputs.<\/p>\n<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\" data-start=\"1227\" data-end=\"1267\">Why Are Generative Models Important?<\/h3>\n<p style=\"text-align: justify;\" data-start=\"1268\" data-end=\"1357\">Generative models have become foundational to the development of AI applications such as:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"1358\" data-end=\"1498\">\n<li data-start=\"1358\" data-end=\"1379\">\n<p data-start=\"1360\" data-end=\"1379\"><a href=\"https:\/\/bestarion.com\/what-is-deepfake-technology\/\">Deepfake technology<\/a><\/p>\n<\/li>\n<li data-start=\"1380\" data-end=\"1407\">\n<p data-start=\"1382\" data-end=\"1407\">Image and video synthesis<\/p>\n<\/li>\n<li data-start=\"1408\" data-end=\"1434\">\n<p data-start=\"1410\" data-end=\"1434\">Text and code generation<\/p>\n<\/li>\n<li data-start=\"1435\" data-end=\"1472\">\n<p data-start=\"1437\" data-end=\"1472\">Drug discovery and molecular design<\/p>\n<\/li>\n<li data-start=\"1473\" data-end=\"1498\">\n<p data-start=\"1475\" data-end=\"1498\">3D scene reconstruction<\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"1500\" data-end=\"1745\">Popular examples of generative models include VAEs, GANs, Diffusion Models, Transformers, Autoregressive Models, and Neural Radiance Fields (NeRFs)\u2014each offering unique advantages and trade-offs depending on the use case.<\/p>\n<h2 style=\"text-align: justify;\" data-start=\"78\" data-end=\"232\"><span class=\"ez-toc-section\" id=\"6_Common_Types_of_Generative_Models\"><\/span>6 Common Types of Generative Models<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 style=\"text-align: justify;\" data-start=\"239\" data-end=\"276\">1. Variational Autoencoders (VAEs)<\/h3>\n<p style=\"text-align: justify;\" data-start=\"278\" data-end=\"410\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Variational_autoencoder\" rel=\"nofollow noopener\" target=\"_blank\"><strong data-start=\"46\" data-end=\"81\">Variational Autoencoders (VAEs)<\/strong><\/a> are a type of generative model that learns to compress data into a latent (hidden) representation and then reconstruct it, enabling the generation of new, similar data samples. Introduced by Kingma and Welling in 2013, VAEs are widely used in image synthesis, anomaly detection, and representation learning.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"396\" data-end=\"414\">How VAEs Work<\/h4>\n<p style=\"text-align: justify;\"><img decoding=\"async\" class=\"size-full wp-image-58355 aligncenter\" src=\"https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/VAE_Basic_7228391.png\" alt=\"variational autoencoder (VAE) - 1 of 6 Common Types of Generative Models\" width=\"500\" height=\"216\" title=\"\" srcset=\"https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/VAE_Basic_7228391.png 500w, https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/VAE_Basic_7228391-300x130.png 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p style=\"text-align: justify;\" data-start=\"416\" data-end=\"452\">VAEs consist of two main components:<\/p>\n<ol style=\"text-align: justify;\" data-start=\"454\" data-end=\"898\">\n<li data-start=\"454\" data-end=\"768\">\n<p data-start=\"457\" data-end=\"768\"><strong data-start=\"457\" data-end=\"468\">Encoder<\/strong>: This neural network maps input data (like an image or a sentence) to a latent space\u2014a lower-dimensional space that captures the most important features. Instead of mapping to a single point, it learns a probability distribution (usually Gaussian) characterized by a mean and standard deviation.<\/p>\n<\/li>\n<li data-start=\"770\" data-end=\"898\">\n<p data-start=\"773\" data-end=\"898\"><strong data-start=\"773\" data-end=\"784\">Decoder<\/strong>: This network takes a sample from the latent distribution and reconstructs it back into the original data format.<\/p>\n<\/li>\n<\/ol>\n<p style=\"text-align: justify;\" data-start=\"900\" data-end=\"949\">The training objective is to minimize two losses:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"950\" data-end=\"1169\">\n<li data-start=\"950\" data-end=\"1034\">\n<p data-start=\"952\" data-end=\"1034\"><strong data-start=\"952\" data-end=\"975\">Reconstruction loss<\/strong>: Ensures the decoder can accurately reconstruct the input.<\/p>\n<\/li>\n<li data-start=\"1035\" data-end=\"1169\">\n<p data-start=\"1037\" data-end=\"1169\"><strong data-start=\"1037\" data-end=\"1059\">KL-divergence loss<\/strong>: Encourages the latent distributions to be close to a standard normal distribution, making sampling possible.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1176\" data-end=\"1201\">Key Features of VAEs<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1202\" data-end=\"1557\">\n<li data-start=\"1202\" data-end=\"1317\">\n<p data-start=\"1204\" data-end=\"1317\"><strong data-start=\"1204\" data-end=\"1228\">Probabilistic nature<\/strong>: VAEs model data uncertainty using distributions, which allows for more diverse outputs.<\/p>\n<\/li>\n<li data-start=\"1318\" data-end=\"1465\">\n<p data-start=\"1320\" data-end=\"1465\"><strong data-start=\"1320\" data-end=\"1343\">Smooth latent space<\/strong>: Small changes in latent variables yield smooth changes in the output, useful in creative tasks like style interpolation.<\/p>\n<\/li>\n<li data-start=\"1466\" data-end=\"1557\">\n<p data-start=\"1468\" data-end=\"1557\"><strong data-start=\"1468\" data-end=\"1493\">Unsupervised learning<\/strong>: No need for labeled data to learn a structured representation.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"412\" data-end=\"426\"><strong data-start=\"412\" data-end=\"426\">Strengths<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"427\" data-end=\"591\">\n<li data-start=\"427\" data-end=\"468\">\n<p data-start=\"429\" data-end=\"468\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Stable and straightforward training process.<\/span><\/p>\n<\/li>\n<li data-start=\"469\" data-end=\"510\">\n<p data-start=\"471\" data-end=\"510\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Provides a structured latent space suitable for interpolation and data exploration.<\/span><\/p>\n<\/li>\n<li data-start=\"511\" data-end=\"591\">\n<p data-start=\"513\" data-end=\"591\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Effective for anomaly detection and representation learning.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"593\" data-end=\"608\"><strong data-start=\"593\" data-end=\"608\">Weaknesses<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"609\" data-end=\"731\">\n<li data-start=\"609\" data-end=\"650\">\n<p data-start=\"611\" data-end=\"650\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Often produces blurrier outputs compared to GANs.<\/span><\/p>\n<\/li>\n<li data-start=\"651\" data-end=\"731\">\n<p data-start=\"653\" data-end=\"731\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">May struggle with capturing fine-grained details in complex data.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1564\" data-end=\"1589\">Applications of VAEs<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1590\" data-end=\"1899\">\n<li data-start=\"1590\" data-end=\"1665\">\n<p data-start=\"1592\" data-end=\"1665\"><strong data-start=\"1592\" data-end=\"1612\">Image generation<\/strong>: Generate new faces, objects, or handwriting styles.<\/p>\n<\/li>\n<li data-start=\"1666\" data-end=\"1744\">\n<p data-start=\"1668\" data-end=\"1744\"><strong data-start=\"1668\" data-end=\"1689\">Anomaly detection<\/strong>: Identify outliers by measuring reconstruction errors.<\/p>\n<\/li>\n<li data-start=\"1745\" data-end=\"1821\">\n<p data-start=\"1747\" data-end=\"1821\"><strong data-start=\"1747\" data-end=\"1774\">Representation learning<\/strong>: Learn meaningful compressed features of data.<\/p>\n<\/li>\n<li data-start=\"1822\" data-end=\"1899\">\n<p data-start=\"1824\" data-end=\"1899\"><strong data-start=\"1824\" data-end=\"1843\">Data imputation<\/strong>: Fill in missing values in data with plausible guesses.<\/p>\n<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\" data-start=\"922\" data-end=\"966\">2. Generative Adversarial Networks (GANs)<\/h3>\n<p style=\"text-align: justify;\" data-start=\"968\" data-end=\"1140\"><strong data-start=\"53\" data-end=\"95\">Generative Adversarial Networks (GANs)<\/strong> are a class of generative models introduced by Ian Goodfellow and his collaborators in 2014. They are designed to generate realistic data samples\u2014such as images, text, or audio\u2014by training two neural networks in a competitive setting. GANs have revolutionized content creation and are widely known for producing high-fidelity synthetic data.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"444\" data-end=\"462\">How GANs Work<\/h4>\n<p style=\"text-align: justify;\"><img decoding=\"async\" class=\"size-full wp-image-58354 aligncenter\" src=\"https:\/\/bestarion.com\/wp-content\/uploads\/2025\/05\/how-gans-work-e1747045239837.png\" alt=\"How GANs Work\" width=\"850\" height=\"357\" title=\"\"><\/p>\n<p style=\"text-align: justify;\" data-start=\"464\" data-end=\"540\">GANs are made up of two main components that play a game against each other:<\/p>\n<ol style=\"text-align: justify;\" data-start=\"542\" data-end=\"912\">\n<li data-start=\"542\" data-end=\"741\">\n<p data-start=\"545\" data-end=\"741\"><strong data-start=\"545\" data-end=\"558\">Generator<\/strong>: This network takes random noise as input and tries to produce data that resemble the real data distribution. Its goal is to &#8220;fool&#8221; the discriminator by generating realistic outputs.<\/p>\n<\/li>\n<li data-start=\"743\" data-end=\"912\">\n<p data-start=\"746\" data-end=\"912\"><strong data-start=\"746\" data-end=\"763\">Discriminator<\/strong>: This network evaluates whether the data it receives is real (from the dataset) or fake (produced by the generator). It acts as a binary classifier.<\/p>\n<\/li>\n<\/ol>\n<p style=\"text-align: justify;\" data-start=\"914\" data-end=\"958\">The two networks are trained simultaneously:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"959\" data-end=\"1131\">\n<li data-start=\"959\" data-end=\"1036\">\n<p data-start=\"961\" data-end=\"1036\">The <strong data-start=\"965\" data-end=\"978\">generator<\/strong> improves by learning how to create more convincing fakes.<\/p>\n<\/li>\n<li data-start=\"1037\" data-end=\"1131\">\n<p data-start=\"1039\" data-end=\"1131\">The <strong data-start=\"1043\" data-end=\"1060\">discriminator<\/strong> improves by learning to better distinguish between real and fake data.<\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"1133\" data-end=\"1270\">This adversarial process continues until the generator produces outputs that the discriminator cannot reliably tell apart from real data.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"1277\" data-end=\"1302\">Key Features of GANs<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1303\" data-end=\"1618\">\n<li data-start=\"1303\" data-end=\"1384\">\n<p data-start=\"1305\" data-end=\"1384\"><strong data-start=\"1305\" data-end=\"1329\">Adversarial training<\/strong>: This setup leads to very sharp and realistic outputs.<\/p>\n<\/li>\n<li data-start=\"1385\" data-end=\"1512\">\n<p data-start=\"1387\" data-end=\"1512\"><strong data-start=\"1387\" data-end=\"1413\">No explicit likelihood<\/strong>: Unlike VAEs, GANs don\u2019t require a likelihood function, making them more flexible in some domains.<\/p>\n<\/li>\n<li data-start=\"1513\" data-end=\"1618\">\n<p data-start=\"1515\" data-end=\"1618\"><strong data-start=\"1515\" data-end=\"1546\">Difficult training dynamics<\/strong>: The training process can be unstable and sensitive to hyperparameters.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1142\" data-end=\"1156\"><strong data-start=\"1142\" data-end=\"1156\">Strengths<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1157\" data-end=\"1321\">\n<li data-start=\"1157\" data-end=\"1198\">\n<p data-start=\"1159\" data-end=\"1198\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Capable of generating high-resolution, realistic images.<\/span><\/p>\n<\/li>\n<li data-start=\"1199\" data-end=\"1240\">\n<p data-start=\"1201\" data-end=\"1240\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Effective in data augmentation and style transfer tasks.<\/span><\/p>\n<\/li>\n<li data-start=\"1241\" data-end=\"1321\">\n<p data-start=\"1243\" data-end=\"1321\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Flexible architecture adaptable to various data types.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1323\" data-end=\"1338\"><strong data-start=\"1323\" data-end=\"1338\">Weaknesses<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1339\" data-end=\"1461\">\n<li data-start=\"1339\" data-end=\"1380\">\n<p data-start=\"1341\" data-end=\"1380\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Training can be unstable and sensitive to hyperparameters.<\/span><\/p>\n<\/li>\n<li data-start=\"1381\" data-end=\"1461\">\n<p data-start=\"1383\" data-end=\"1461\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Prone to mode collapse, where the generator produces limited varieties of outputs.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1625\" data-end=\"1650\">Applications of GANs<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1651\" data-end=\"2121\">\n<li data-start=\"1651\" data-end=\"1769\">\n<p data-start=\"1653\" data-end=\"1769\"><strong data-start=\"1653\" data-end=\"1672\">Image synthesis<\/strong>: Create hyper-realistic images of people, places, or objects (e.g., ThisPersonDoesNotExist.com).<\/p>\n<\/li>\n<li data-start=\"1770\" data-end=\"1862\">\n<p data-start=\"1772\" data-end=\"1862\"><strong data-start=\"1772\" data-end=\"1790\">Style transfer<\/strong>: Transform the style of an image (e.g., turning photos into paintings).<\/p>\n<\/li>\n<li data-start=\"1863\" data-end=\"1939\">\n<p data-start=\"1865\" data-end=\"1939\"><strong data-start=\"1865\" data-end=\"1885\">Super-resolution<\/strong>: Increase image resolution while maintaining quality.<\/p>\n<\/li>\n<li data-start=\"1940\" data-end=\"2022\">\n<p data-start=\"1942\" data-end=\"2022\"><strong data-start=\"1942\" data-end=\"1963\">Data augmentation<\/strong>: Generate more training data to improve model performance.<\/p>\n<\/li>\n<li data-start=\"2023\" data-end=\"2121\">\n<p data-start=\"2025\" data-end=\"2121\"><strong data-start=\"2025\" data-end=\"2053\">Text-to-image generation<\/strong>: Convert descriptive text into coherent images (e.g., with DALL\u00b7E).<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"2128\" data-end=\"2149\">Variants of GANs<\/h4>\n<p style=\"text-align: justify;\" data-start=\"2150\" data-end=\"2259\">Over the years, many variants have been developed to address GANs\u2019 limitations and expand their capabilities:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"2260\" data-end=\"2622\">\n<li data-start=\"2260\" data-end=\"2351\">\n<p data-start=\"2262\" data-end=\"2351\"><strong data-start=\"2262\" data-end=\"2296\">DCGAN (Deep Convolutional GAN)<\/strong> \u2013 Improved performance on image generation using CNNs.<\/p>\n<\/li>\n<li data-start=\"2352\" data-end=\"2433\">\n<p data-start=\"2354\" data-end=\"2433\"><strong data-start=\"2354\" data-end=\"2366\">CycleGAN<\/strong> \u2013 Enables image-to-image translation without paired training data.<\/p>\n<\/li>\n<li data-start=\"2434\" data-end=\"2527\">\n<p data-start=\"2436\" data-end=\"2527\"><strong data-start=\"2436\" data-end=\"2448\">StyleGAN<\/strong> \u2013 Known for generating photorealistic images with controllable style features.<\/p>\n<\/li>\n<li data-start=\"2528\" data-end=\"2622\">\n<p data-start=\"2530\" data-end=\"2622\"><strong data-start=\"2530\" data-end=\"2556\">Wasserstein GAN (WGAN)<\/strong> \u2013 Improves training stability by using a different loss function.<\/p>\n<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\" data-start=\"1652\" data-end=\"1674\">3. Diffusion Models<\/h3>\n<p style=\"text-align: justify;\" data-start=\"1676\" data-end=\"1848\"><strong data-start=\"234\" data-end=\"254\">Diffusion models<\/strong> are a class of generative models that create data through a two-step process of gradually adding and then removing noise. Inspired by non-equilibrium thermodynamics, these models have gained massive popularity for their ability to generate high-quality, diverse samples\u2014particularly in image synthesis.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"559\" data-end=\"589\">How Diffusion Models Work<\/h4>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-58353 aligncenter\" src=\"https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/diffusion-models-1024x441.png\" alt=\"Diffusion Models\" width=\"1024\" height=\"441\" title=\"\"><\/p>\n<p style=\"text-align: justify;\" data-start=\"591\" data-end=\"635\">Diffusion models operate in two main phases:<\/p>\n<ol style=\"text-align: justify;\" data-start=\"637\" data-end=\"951\">\n<li data-start=\"637\" data-end=\"793\">\n<p data-start=\"640\" data-end=\"793\"><strong data-start=\"640\" data-end=\"671\">Forward process (diffusion)<\/strong>: Starting with real data, noise is progressively added over many steps until the data becomes nearly pure Gaussian noise.<\/p>\n<\/li>\n<li data-start=\"795\" data-end=\"951\">\n<p data-start=\"798\" data-end=\"951\"><strong data-start=\"798\" data-end=\"829\">Reverse process (denoising)<\/strong>: A neural network is trained to reverse this diffusion process, step-by-step, transforming noise back into coherent data.<\/p>\n<\/li>\n<\/ol>\n<p style=\"text-align: justify;\" data-start=\"953\" data-end=\"1107\">This reverse process is learned so that, during generation, the model can start with random noise and iteratively denoise it to produce realistic samples.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"1109\" data-end=\"1126\">Key Features<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1127\" data-end=\"1507\">\n<li data-start=\"1127\" data-end=\"1213\">\n<p data-start=\"1129\" data-end=\"1213\"><strong data-start=\"1129\" data-end=\"1142\">Stability<\/strong>: Diffusion models are generally more stable to train compared to GANs.<\/p>\n<\/li>\n<li data-start=\"1214\" data-end=\"1350\">\n<p data-start=\"1216\" data-end=\"1350\"><strong data-start=\"1216\" data-end=\"1239\">High-quality output<\/strong>: Recent models like <strong data-start=\"1260\" data-end=\"1280\">Stable Diffusion<\/strong> and <strong data-start=\"1285\" data-end=\"1297\">DALL\u00b7E 3<\/strong> produce photorealistic images with detailed control.<\/p>\n<\/li>\n<li data-start=\"1351\" data-end=\"1507\">\n<p data-start=\"1353\" data-end=\"1507\"><strong data-start=\"1353\" data-end=\"1370\">Slow sampling<\/strong>: The generation process is computationally expensive, though newer approaches like <strong data-start=\"1454\" data-end=\"1462\">DDIM<\/strong> and <strong data-start=\"1467\" data-end=\"1487\">Latent Diffusion<\/strong> reduce this burden.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1850\" data-end=\"1864\"><strong data-start=\"1850\" data-end=\"1864\">Strengths<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1865\" data-end=\"2033\">\n<li data-start=\"1865\" data-end=\"1906\">\n<p data-start=\"1867\" data-end=\"1906\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Produces diverse and high-fidelity outputs.<\/span><\/p>\n<\/li>\n<li data-start=\"1907\" data-end=\"1948\">\n<p data-start=\"1909\" data-end=\"1948\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">More stable training compared to GANs.<\/span><\/p>\n<\/li>\n<li data-start=\"1949\" data-end=\"2033\">\n<p data-start=\"1951\" data-end=\"2033\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Effective in capturing complex data distributions.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"2035\" data-end=\"2050\"><strong data-start=\"2035\" data-end=\"2050\">Weaknesses<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"2051\" data-end=\"2179\">\n<li data-start=\"2051\" data-end=\"2094\">\n<p data-start=\"2053\" data-end=\"2094\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Slower inference time due to iterative sampling.<\/span><\/p>\n<\/li>\n<li data-start=\"2095\" data-end=\"2179\">\n<p data-start=\"2097\" data-end=\"2179\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Computationally intensive, requiring significant resources.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1509\" data-end=\"1526\">Applications<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1527\" data-end=\"1693\">\n<li data-start=\"1527\" data-end=\"1582\">\n<p data-start=\"1529\" data-end=\"1582\">Image generation (e.g., Stable Diffusion, Imagen)<\/p>\n<\/li>\n<li data-start=\"1583\" data-end=\"1612\">\n<p data-start=\"1585\" data-end=\"1612\">Text-to-image synthesis<\/p>\n<\/li>\n<li data-start=\"1613\" data-end=\"1652\">\n<p data-start=\"1615\" data-end=\"1652\">Audio generation (e.g., DiffWave)<\/p>\n<\/li>\n<li data-start=\"1653\" data-end=\"1693\">\n<p data-start=\"1655\" data-end=\"1693\">Molecular design in drug discovery<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1695\" data-end=\"1724\">Notable Diffusion Models<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1725\" data-end=\"1875\">\n<li data-start=\"1725\" data-end=\"1777\">\n<p data-start=\"1727\" data-end=\"1777\">DDPM (Denoising Diffusion Probabilistic Model)<\/p>\n<\/li>\n<li data-start=\"1778\" data-end=\"1800\">\n<p data-start=\"1780\" data-end=\"1800\">Stable Diffusion<\/p>\n<\/li>\n<li data-start=\"1801\" data-end=\"1823\">\n<p data-start=\"1803\" data-end=\"1823\">Imagen by Google<\/p>\n<\/li>\n<li data-start=\"1824\" data-end=\"1875\">\n<p data-start=\"1826\" data-end=\"1875\">DALL\u00b7E 3 (uses a modified diffusion approach)<\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"1877\" data-end=\"2018\">Diffusion models now rival GANs in quality and have surpassed them in stability and fine control, especially in conditional generation tasks.<\/p>\n<h3 style=\"text-align: justify;\" data-start=\"2378\" data-end=\"2396\">4. Transformers<\/h3>\n<p style=\"text-align: justify;\" data-start=\"2398\" data-end=\"2536\"><strong data-start=\"2053\" data-end=\"2069\">Transformers<\/strong> are a deep learning architecture introduced by Vaswani et al. in 2017 with their groundbreaking paper, <em data-start=\"2173\" data-end=\"2203\">\u201cAttention Is All You Need.\u201d<\/em> Originally designed for sequence modeling tasks in NLP, transformers are now the foundation of nearly all state-of-the-art generative models, including <strong data-start=\"2356\" data-end=\"2364\">LLMs<\/strong> (Large Language Models) and multimodal models.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"2417\" data-end=\"2443\">How Transformers Work<\/h4>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-58352 size-full\" src=\"https:\/\/bestarion.com\/us\/wp-content\/uploads\/sites\/8\/2026\/06\/transformers_1178927.svg\" alt=\"How Transformers Work\" width=\"1825\" height=\"1115\" title=\"\"><\/p>\n<p style=\"text-align: justify;\" data-start=\"2445\" data-end=\"2620\">Transformers rely on a mechanism called <strong data-start=\"2485\" data-end=\"2503\">self-attention<\/strong>, which allows each token in a sequence to dynamically focus on other tokens. The architecture consists of layers of:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"2621\" data-end=\"2730\">\n<li data-start=\"2621\" data-end=\"2652\">\n<p data-start=\"2623\" data-end=\"2652\"><strong data-start=\"2623\" data-end=\"2652\">Multi-head self-attention<\/strong><\/p>\n<\/li>\n<li data-start=\"2653\" data-end=\"2679\">\n<p data-start=\"2655\" data-end=\"2679\"><strong data-start=\"2655\" data-end=\"2679\">Feedforward networks<\/strong><\/p>\n<\/li>\n<li data-start=\"2680\" data-end=\"2730\">\n<p data-start=\"2682\" data-end=\"2730\"><strong data-start=\"2682\" data-end=\"2730\">Layer normalization and residual connections<\/strong><\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"2732\" data-end=\"2859\">This design allows transformers to model long-range dependencies efficiently and in parallel, unlike traditional RNNs or LSTMs.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"2861\" data-end=\"2896\">Generative Use of Transformers<\/h4>\n<p style=\"text-align: justify;\" data-start=\"2897\" data-end=\"3105\">Transformers can be trained autoregressively (like GPT models) or bidirectionally (like BERT for understanding tasks). In generative settings, they predict the next token in a sequence, making them ideal for:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"3106\" data-end=\"3310\">\n<li data-start=\"3106\" data-end=\"3159\">\n<p data-start=\"3108\" data-end=\"3159\">Text generation (e.g., ChatGPT, Claude, Gemini)<\/p>\n<\/li>\n<li data-start=\"3160\" data-end=\"3207\">\n<p data-start=\"3162\" data-end=\"3207\">Code generation (e.g., Codex, Code Llama)<\/p>\n<\/li>\n<li data-start=\"3208\" data-end=\"3278\">\n<p data-start=\"3210\" data-end=\"3278\">Image generation (e.g., Parti, a vision transformer-based model)<\/p>\n<\/li>\n<li data-start=\"3279\" data-end=\"3310\">\n<p data-start=\"3281\" data-end=\"3310\">Audio and music synthesis<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3312\" data-end=\"3329\">Key Features<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3330\" data-end=\"3559\">\n<li data-start=\"3330\" data-end=\"3411\">\n<p data-start=\"3332\" data-end=\"3411\"><strong data-start=\"3332\" data-end=\"3344\">Scalable<\/strong>: Capable of handling massive datasets with billions of parameters.<\/p>\n<\/li>\n<li data-start=\"3412\" data-end=\"3484\">\n<p data-start=\"3414\" data-end=\"3484\"><strong data-start=\"3414\" data-end=\"3427\">Versatile<\/strong>: Used across text, image, audio, and multimodal domains.<\/p>\n<\/li>\n<li data-start=\"3485\" data-end=\"3559\">\n<p data-start=\"3487\" data-end=\"3559\"><strong data-start=\"3487\" data-end=\"3503\">Fine-tunable<\/strong>: Can be adapted to specialized tasks with minimal data.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"2538\" data-end=\"2552\"><strong data-start=\"2538\" data-end=\"2552\">Strengths<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"2553\" data-end=\"2725\">\n<li data-start=\"2553\" data-end=\"2596\">\n<p data-start=\"2555\" data-end=\"2596\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Handles long-range dependencies in data effectively.<\/span><\/p>\n<\/li>\n<li data-start=\"2597\" data-end=\"2640\">\n<p data-start=\"2599\" data-end=\"2640\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Highly parallelizable, leading to faster training times.<\/span><\/p>\n<\/li>\n<li data-start=\"2641\" data-end=\"2725\">\n<p data-start=\"2643\" data-end=\"2725\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Versatile across different data modalities.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"2727\" data-end=\"2742\"><strong data-start=\"2727\" data-end=\"2742\">Weaknesses<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"2743\" data-end=\"2871\">\n<li data-start=\"2743\" data-end=\"2786\">\n<p data-start=\"2745\" data-end=\"2786\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Requires large datasets and computational resources.<\/span><\/p>\n<\/li>\n<li data-start=\"2787\" data-end=\"2871\">\n<p data-start=\"2789\" data-end=\"2871\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">May struggle with tasks requiring fine-grained spatial details without architectural modifications.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3561\" data-end=\"3578\">Applications<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3579\" data-end=\"3739\">\n<li data-start=\"3579\" data-end=\"3612\">\n<p data-start=\"3581\" data-end=\"3612\">Natural language generation<\/p>\n<\/li>\n<li data-start=\"3613\" data-end=\"3630\">\n<p data-start=\"3615\" data-end=\"3630\">Translation<\/p>\n<\/li>\n<li data-start=\"3631\" data-end=\"3650\">\n<p data-start=\"3633\" data-end=\"3650\">Summarization<\/p>\n<\/li>\n<li data-start=\"3651\" data-end=\"3675\">\n<p data-start=\"3653\" data-end=\"3675\">Question answering<\/p>\n<\/li>\n<li data-start=\"3676\" data-end=\"3739\">\n<p data-start=\"3678\" data-end=\"3739\">Multimodal generation (text-to-image, video, audio, code)<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3741\" data-end=\"3787\">Examples of Generative Transformer Models<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3788\" data-end=\"3951\">\n<li data-start=\"3788\" data-end=\"3813\">\n<p data-start=\"3790\" data-end=\"3813\">GPT-4 \/ GPT-4 Turbo<\/p>\n<\/li>\n<li data-start=\"3814\" data-end=\"3828\">\n<p data-start=\"3816\" data-end=\"3828\">Claude 3<\/p>\n<\/li>\n<li data-start=\"3829\" data-end=\"3845\">\n<p data-start=\"3831\" data-end=\"3845\">Gemini 1.5<\/p>\n<\/li>\n<li data-start=\"3846\" data-end=\"3859\">\n<p data-start=\"3848\" data-end=\"3859\">LLaMA 3<\/p>\n<\/li>\n<li data-start=\"3860\" data-end=\"3872\">\n<p data-start=\"3862\" data-end=\"3872\">PaLM 2<\/p>\n<\/li>\n<li data-start=\"3873\" data-end=\"3888\">\n<p data-start=\"3875\" data-end=\"3888\">ERNIE Bot<\/p>\n<\/li>\n<li data-start=\"3889\" data-end=\"3899\">\n<p data-start=\"3891\" data-end=\"3899\">Orca<\/p>\n<\/li>\n<li data-start=\"3900\" data-end=\"3913\">\n<p data-start=\"3902\" data-end=\"3913\">Mistral<\/p>\n<\/li>\n<li data-start=\"3914\" data-end=\"3926\">\n<p data-start=\"3916\" data-end=\"3926\">T\u00fclu 3<\/p>\n<\/li>\n<li data-start=\"3927\" data-end=\"3938\">\n<p data-start=\"3929\" data-end=\"3938\">Phi-3<\/p>\n<\/li>\n<li data-start=\"3939\" data-end=\"3951\">\n<p data-start=\"3941\" data-end=\"3951\">Vicuna<\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"3953\" data-end=\"4127\">Transformers have become the gold standard in generative AI. Their modular, scalable architecture is the backbone of both open-source and commercial generative systems today.<\/p>\n<p style=\"text-align: justify;\" data-start=\"3953\" data-end=\"4127\">Read more: <a title=\"Top 40 Large Language Models (LLMs) in 2025: The Definitive Guide\" href=\"https:\/\/bestarion.com\/top-large-language-models-llms\/\">Top 40 Large Language Models (LLMs) in 2025: The Definitive Guide<\/a><\/p>\n<h3 style=\"text-align: justify;\" data-start=\"3070\" data-end=\"3097\">5. Autoregressive Models<\/h3>\n<p style=\"text-align: justify;\" data-start=\"224\" data-end=\"477\"><strong data-start=\"224\" data-end=\"254\">Autoregressive (AR) models<\/strong> are a foundational class of generative models that predict the next element in a sequence based on previously observed elements. These models break down complex data generation tasks into a sequence of simpler predictions.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"479\" data-end=\"514\">How Autoregressive Models Work<\/h4>\n<p style=\"text-align: justify;\" data-start=\"516\" data-end=\"700\">The core principle behind AR models is the <strong data-start=\"559\" data-end=\"588\">chain rule of probability<\/strong>, which decomposes a joint probability distribution over a sequence into a product of conditional probabilities:<\/p>\n<blockquote data-start=\"702\" data-end=\"776\">\n<p data-start=\"704\" data-end=\"776\">P(x) = P(x\u2081) * P(x\u2082 | x\u2081) * P(x\u2083 | x\u2081, x\u2082) * &#8230; * P(x\u2099 | x\u2081, &#8230;, x\u2099\u208b\u2081)<\/p>\n<\/blockquote>\n<p style=\"text-align: justify;\" data-start=\"778\" data-end=\"831\">This makes AR models especially suited to tasks like:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"832\" data-end=\"932\">\n<li data-start=\"832\" data-end=\"851\">\n<p data-start=\"834\" data-end=\"851\">Language modeling<\/p>\n<\/li>\n<li data-start=\"852\" data-end=\"870\">\n<p data-start=\"854\" data-end=\"870\">Speech synthesis<\/p>\n<\/li>\n<li data-start=\"871\" data-end=\"896\">\n<p data-start=\"873\" data-end=\"896\">Time-series forecasting<\/p>\n<\/li>\n<li data-start=\"897\" data-end=\"932\">\n<p data-start=\"899\" data-end=\"932\">Image generation (pixel-by-pixel)<\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"934\" data-end=\"1074\">Each step in the generation is dependent on prior steps, which introduces sequential dependency but limits parallelism during inference.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"1076\" data-end=\"1110\">Notable Autoregressive Models<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1111\" data-end=\"1625\">\n<li data-start=\"1111\" data-end=\"1275\">\n<p data-start=\"1113\" data-end=\"1275\"><strong data-start=\"1113\" data-end=\"1127\">GPT Series<\/strong>: The Generative Pre-trained Transformers (GPT-2, GPT-3, GPT-4) are quintessential autoregressive language models trained to predict the next token.<\/p>\n<\/li>\n<li data-start=\"1276\" data-end=\"1352\">\n<p data-start=\"1278\" data-end=\"1352\"><strong data-start=\"1278\" data-end=\"1301\">PixelRNN \/ PixelCNN<\/strong>: Early autoregressive models for image generation.<\/p>\n<\/li>\n<li data-start=\"1353\" data-end=\"1436\">\n<p data-start=\"1355\" data-end=\"1436\"><strong data-start=\"1355\" data-end=\"1366\">Wavenet<\/strong>: An autoregressive model for speech generation developed by DeepMind.<\/p>\n<\/li>\n<li data-start=\"1437\" data-end=\"1524\">\n<p data-start=\"1439\" data-end=\"1524\"><strong data-start=\"1439\" data-end=\"1448\">XLNet<\/strong>: Combines autoregressive training with permutation-based language modeling.<\/p>\n<\/li>\n<li data-start=\"1525\" data-end=\"1625\">\n<p data-start=\"1527\" data-end=\"1625\"><strong data-start=\"1527\" data-end=\"1545\">Transformer-XL<\/strong>: Extends transformers with longer context windows for better sequence learning<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1627\" data-end=\"1641\">Strengths<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1642\" data-end=\"1794\">\n<li data-start=\"1642\" data-end=\"1700\">\n<p data-start=\"1644\" data-end=\"1700\">Excellent at <strong data-start=\"1657\" data-end=\"1680\">sequence generation<\/strong> with high fidelity.<\/p>\n<\/li>\n<li data-start=\"1701\" data-end=\"1737\">\n<p data-start=\"1703\" data-end=\"1737\">Easy to interpret and sample from.<\/p>\n<\/li>\n<li data-start=\"1738\" data-end=\"1794\">\n<p data-start=\"1740\" data-end=\"1794\">Strong performance on <strong data-start=\"1762\" data-end=\"1787\">next-token prediction<\/strong> tasks.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"1796\" data-end=\"1812\">Limitations<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"1813\" data-end=\"1998\">\n<li data-start=\"1813\" data-end=\"1874\">\n<p data-start=\"1815\" data-end=\"1874\"><strong data-start=\"1815\" data-end=\"1833\">Slow inference<\/strong>: Tokens must be generated one at a time.<\/p>\n<\/li>\n<li data-start=\"1875\" data-end=\"1933\">\n<p data-start=\"1877\" data-end=\"1933\"><strong data-start=\"1877\" data-end=\"1899\">Context bottleneck<\/strong>: Especially for longer sequences.<\/p>\n<\/li>\n<li data-start=\"1934\" data-end=\"1998\">\n<p data-start=\"1936\" data-end=\"1998\"><strong data-start=\"1936\" data-end=\"1959\">Limited parallelism<\/strong>: Unlike models like diffusion or VAEs.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3574\" data-end=\"3591\"><strong data-start=\"3574\" data-end=\"3591\">Applications<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3592\" data-end=\"3764\">\n<li data-start=\"3592\" data-end=\"3635\">\n<p data-start=\"3594\" data-end=\"3635\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Text generation and completion.<\/span><\/p>\n<\/li>\n<li data-start=\"3636\" data-end=\"3679\">\n<p data-start=\"3638\" data-end=\"3679\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Speech synthesis and audio generation.<\/span><\/p>\n<\/li>\n<li data-start=\"3680\" data-end=\"3764\">\n<p data-start=\"3682\" data-end=\"3764\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Time-series forecasting.<\/span><\/p>\n<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\" data-start=\"3771\" data-end=\"3807\">6. Neural Radiance Fields (NeRFs)<\/h3>\n<p style=\"text-align: justify;\" data-start=\"3809\" data-end=\"3947\"><strong data-start=\"2195\" data-end=\"2204\">NeRFs<\/strong>, short for <strong data-start=\"2216\" data-end=\"2242\">Neural Radiance Fields<\/strong>, are a powerful type of generative model designed for synthesizing novel views of complex 3D scenes from a set of 2D images. Introduced by researchers at UC Berkeley and Google in 2020, NeRFs have rapidly revolutionized the field of 3D computer vision and graphics.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"2510\" data-end=\"2529\">How NeRFs Work<\/h4>\n<p style=\"text-align: justify;\" data-start=\"2531\" data-end=\"2653\">NeRFs represent a 3D scene using a neural network that takes as input a 3D coordinate and a viewing direction and outputs:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"2654\" data-end=\"2735\">\n<li data-start=\"2654\" data-end=\"2708\">\n<p data-start=\"2656\" data-end=\"2708\"><strong data-start=\"2656\" data-end=\"2674\">Volume density<\/strong> (i.e., how much light is blocked)<\/p>\n<\/li>\n<li data-start=\"2709\" data-end=\"2735\">\n<p data-start=\"2711\" data-end=\"2735\"><strong data-start=\"2711\" data-end=\"2735\">Radiance (RGB color)<\/strong><\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"2737\" data-end=\"2919\">By querying this network many times along rays cast from a virtual camera, NeRFs synthesize highly detailed and accurate 2D images from any viewpoint, using <strong data-start=\"2894\" data-end=\"2918\">volumetric rendering<\/strong>.<\/p>\n<h4 style=\"text-align: justify;\" data-start=\"2921\" data-end=\"2938\">Key Concepts<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"2939\" data-end=\"3271\">\n<li data-start=\"2939\" data-end=\"3091\">\n<p data-start=\"2941\" data-end=\"3091\"><strong data-start=\"2941\" data-end=\"2968\">Implicit representation<\/strong>: NeRFs do not store point clouds or meshes explicitly, but instead encode the scene in the parameters of a neural network.<\/p>\n<\/li>\n<li data-start=\"3092\" data-end=\"3179\">\n<p data-start=\"3094\" data-end=\"3179\"><strong data-start=\"3094\" data-end=\"3112\">View synthesis<\/strong>: They can generate new images of the same scene from novel angles.<\/p>\n<\/li>\n<li data-start=\"3180\" data-end=\"3271\">\n<p data-start=\"3182\" data-end=\"3271\"><strong data-start=\"3182\" data-end=\"3206\">Volumetric rendering<\/strong>: Simulates light accumulation through a semi-transparent volume.<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3949\" data-end=\"3963\"><strong data-start=\"3949\" data-end=\"3963\">Strengths<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3964\" data-end=\"4136\">\n<li data-start=\"3964\" data-end=\"4007\">\n<p data-start=\"3966\" data-end=\"4007\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Generates high-quality 3D representations from 2D images.<\/span><\/p>\n<\/li>\n<li data-start=\"4008\" data-end=\"4051\">\n<p data-start=\"4010\" data-end=\"4051\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Captures intricate details and lighting conditions.<\/span><\/p>\n<\/li>\n<li data-start=\"4052\" data-end=\"4136\">\n<p data-start=\"4054\" data-end=\"4136\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Advances in real-time rendering have improved efficiency.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"4138\" data-end=\"4153\"><strong data-start=\"4138\" data-end=\"4153\">Weaknesses<\/strong><\/h4>\n<ul style=\"text-align: justify;\" data-start=\"4154\" data-end=\"4282\">\n<li data-start=\"4154\" data-end=\"4197\">\n<p data-start=\"4156\" data-end=\"4197\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Computationally intensive, especially for high-resolution outputs.<\/span><\/p>\n<\/li>\n<li data-start=\"4198\" data-end=\"4282\">\n<p data-start=\"4200\" data-end=\"4282\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Requires multiple images from different viewpoints for optimal performance.<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3748\" data-end=\"3765\">Applications<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3766\" data-end=\"3930\">\n<li data-start=\"3766\" data-end=\"3819\">\n<p data-start=\"3768\" data-end=\"3819\">Virtual reality (VR) and augmented reality (AR)<\/p>\n<\/li>\n<li data-start=\"3820\" data-end=\"3846\">\n<p data-start=\"3822\" data-end=\"3846\">Gaming and animation<\/p>\n<\/li>\n<li data-start=\"3847\" data-end=\"3883\">\n<p data-start=\"3849\" data-end=\"3883\">Cultural heritage preservation<\/p>\n<\/li>\n<li data-start=\"3884\" data-end=\"3930\">\n<p data-start=\"3886\" data-end=\"3930\">Autonomous driving (scene understanding)<\/p>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\" data-start=\"3932\" data-end=\"3955\">Notable Extensions<\/h4>\n<ul style=\"text-align: justify;\" data-start=\"3956\" data-end=\"4197\">\n<li data-start=\"3956\" data-end=\"4036\">\n<p data-start=\"3958\" data-end=\"4036\"><strong data-start=\"3958\" data-end=\"3982\">Instant-NGP (NVIDIA)<\/strong>: Improves training and rendering speed significantly.<\/p>\n<\/li>\n<li data-start=\"4037\" data-end=\"4082\">\n<p data-start=\"4039\" data-end=\"4082\"><strong data-start=\"4039\" data-end=\"4051\">Mip-NeRF<\/strong>: Addresses aliasing artifacts.<\/p>\n<\/li>\n<li data-start=\"4083\" data-end=\"4136\">\n<p data-start=\"4085\" data-end=\"4136\"><strong data-start=\"4085\" data-end=\"4102\">Dynamic NeRFs<\/strong>: Extends NeRFs to dynamic scenes.<\/p>\n<\/li>\n<li data-start=\"4137\" data-end=\"4197\">\n<p data-start=\"4139\" data-end=\"4197\"><strong data-start=\"4139\" data-end=\"4149\">NeRF-W<\/strong>: Handles unstructured photos from the internet.<\/p>\n<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\" data-start=\"4481\" data-end=\"4504\"><span class=\"ez-toc-section\" id=\"Comparison_of_Generative_Models\"><\/span>Comparison of Generative Models<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table>\n<thead>\n<tr>\n<th>Model Type<\/th>\n<th>Key Idea<\/th>\n<th>Strengths<\/th>\n<th>Limitations<\/th>\n<th>Common Use Cases<\/th>\n<th>Training Complexity<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>VAE (Variational Autoencoder)<\/strong><\/td>\n<td>Encodes data to a latent space and reconstructs it with probabilistic decoder<\/td>\n<td>&#8211; Structured latent space- Stable training- Easy interpolation<\/td>\n<td>&#8211; Blurry outputs- Lower fidelity than GANs<\/td>\n<td>Image generation, anomaly detection, data compression<\/td>\n<td>Moderate<\/td>\n<\/tr>\n<tr>\n<td><strong>GAN (Generative Adversarial Network)<\/strong><\/td>\n<td>Uses generator\u2013discriminator game to generate realistic data<\/td>\n<td>&#8211; Sharp, realistic outputs- High sample quality<\/td>\n<td>&#8211; Mode collapse- Difficult training- No latent space control<\/td>\n<td>Image synthesis, super-resolution, deepfake creation<\/td>\n<td>High<\/td>\n<\/tr>\n<tr>\n<td><strong>Diffusion Model<\/strong><\/td>\n<td>Gradually denoises data starting from random noise<\/td>\n<td>&#8211; State-of-the-art image quality- Stable training<\/td>\n<td>&#8211; Slow sampling time- High computational cost<\/td>\n<td>Text-to-image (e.g., Stable Diffusion, DALL\u00b7E), audio<\/td>\n<td>Very High<\/td>\n<\/tr>\n<tr>\n<td><strong>Transformer<\/strong><\/td>\n<td>Self-attention-based model for sequential and non-sequential data<\/td>\n<td>&#8211; Scalability- Works for text, images, audio, video<\/td>\n<td>&#8211; Data and compute intensive- Limited interpretability<\/td>\n<td>Text generation, image captioning, code, translation<\/td>\n<td>Very High<\/td>\n<\/tr>\n<tr>\n<td><strong>Autoregressive Model<\/strong><\/td>\n<td>Predicts next element based on previous ones<\/td>\n<td>&#8211; High accuracy in sequence tasks- Great for language modeling<\/td>\n<td>&#8211; Slow inference- Not ideal for parallel generation<\/td>\n<td>Language models (GPT), music, code, time series<\/td>\n<td>High<\/td>\n<\/tr>\n<tr>\n<td><strong>NeRF (Neural Radiance Fields)<\/strong><\/td>\n<td>Uses neural nets to synthesize 3D views from 2D images<\/td>\n<td>&#8211; Photorealistic 3D views- Few input images needed<\/td>\n<td>&#8211; Static scenes only- Slow rendering\/training<\/td>\n<td>3D reconstruction, AR\/VR, robotics, mapping<\/td>\n<td>Very High<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\" data-start=\"6110\" data-end=\"6123\"><span class=\"ez-toc-section\" id=\"Conclusion\"><\/span>Conclusion<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: justify;\" data-start=\"4224\" data-end=\"4351\">Generative models have evolved dramatically over the past few years, each model architecture serving a unique set of use cases:<\/p>\n<ul style=\"text-align: justify;\" data-start=\"4353\" data-end=\"4776\">\n<li data-start=\"4353\" data-end=\"4418\">\n<p data-start=\"4355\" data-end=\"4418\"><strong data-start=\"4355\" data-end=\"4363\">VAEs<\/strong> enable smooth latent spaces and controlled generation.<\/p>\n<\/li>\n<li data-start=\"4419\" data-end=\"4481\">\n<p data-start=\"4421\" data-end=\"4481\"><strong data-start=\"4421\" data-end=\"4429\">GANs<\/strong> provide sharp outputs but are challenging to train.<\/p>\n<\/li>\n<li data-start=\"4482\" data-end=\"4563\">\n<p data-start=\"4484\" data-end=\"4563\"><strong data-start=\"4484\" data-end=\"4504\">Diffusion models<\/strong> offer stability and high quality, becoming a new favorite.<\/p>\n<\/li>\n<li data-start=\"4564\" data-end=\"4630\">\n<p data-start=\"4566\" data-end=\"4630\"><strong data-start=\"4566\" data-end=\"4582\">Transformers<\/strong> dominate text, code, and multimodal generation.<\/p>\n<\/li>\n<li data-start=\"4631\" data-end=\"4704\">\n<p data-start=\"4633\" data-end=\"4704\"><strong data-start=\"4633\" data-end=\"4658\">Autoregressive models<\/strong> remain best-in-class for sequence prediction.<\/p>\n<\/li>\n<li data-start=\"4705\" data-end=\"4776\">\n<p data-start=\"4707\" data-end=\"4776\"><strong data-start=\"4707\" data-end=\"4716\">NeRFs<\/strong> extend generative power to 3D reconstruction and rendering.<\/p>\n<\/li>\n<\/ul>\n<p style=\"text-align: justify;\" data-start=\"4778\" data-end=\"5055\">As these technologies continue to converge and evolve, the next generation of generative AI will likely combine multiple paradigms\u2014blending the structured latent spaces of VAEs, the high fidelity of GANs, the flexibility of transformers, and the spatial understanding of NeRFs.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Generative models have revolutionized artificial intelligence by enabling machines to create new content\u2014be it images, text, audio, or 3D structures. This article delves into six prominent generative models: Variational Autoencoders (VAEs), Generative Adversarial Networks (GANs), Diffusion Models, Transformers, Autoregressive Models, and Neural Radiance Fields (NeRFs). We&#8217;ll explore their architectures, strengths, weaknesses, and real-world applications. Read [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":58348,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[3219],"tags":[],"class_list":["post-58337","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-generative-ai"],"_links":{"self":[{"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/posts\/58337","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/comments?post=58337"}],"version-history":[{"count":3,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/posts\/58337\/revisions"}],"predecessor-version":[{"id":58356,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/posts\/58337\/revisions\/58356"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/media\/58348"}],"wp:attachment":[{"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/media?parent=58337"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/categories?post=58337"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bestarion.com\/us\/wp-json\/wp\/v2\/tags?post=58337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}