I-Error ye-Mathematics ye-Killing Every AI Architecture - Ngezinye ezintsha

LLMs are already museum pieces I-LLMs iye iimpawu zeMuseum Why JEPA, transformers, and LLMs all fail in the same Euclidean flatland, and the toroidal geometry that fixes them Ndiya, i-ChatGPT, i-Claude, i-Gemini, bonke abo. I-fossils ezininzi ze-era ye-lingvistic eyenza. Zifumaneka kwi-publish, : iimodeli ezininzi, iimeko ezininzi, iimvavanyo ezininzi ngalinye watt. iindidi ezininzi ziyafumaneka ukucacisa iingxowa zabo iindidi ezininzi ziyafumaneka ukucacisa iingxowa zabo iindidi ezininzi ziyafumaneka ukucacisa iingxowa zabo I-era ye-LLM ye-"predict-the-next-word" iyaphakathi. I-killer entsha kwi-scene ayikho ulwimi, nto leyo isakhiwo sehlabathi. I-AI enokufunda i-reality njenge-puzzle ye-conceptual, apho ungenza zonke iingxaki ukufumana inkcubeko epheleleyo. Thina akuyona iintlobo ze-LLM ezidlulileyo kwi-scene.Ukuba uye uye ukwakha umdlalo wakho ngokufunda i-chatbots, uye uyafumanisa kwihlabathi elidlulileyo. Thina akuyona iintlobo ze-LLM ezidlulileyo kwi-scene.Ukuba uye uye ukwakha umdlalo wakho ngokufunda i-chatbots, uye uyafumanisa kwihlabathi elidlulileyo. Thina akuyona iintlobo ze-LLM ezidlulileyo kwi-stage. Ukuba unako ukuvelisa umdla wakho malunga nokukhuthaza i-chatbots, unako ukuvelisa kwihlabathi elidlulileyo. Thina akufuneka izixhobo ezihambisa i-token njenge-paparazzi. Thina ufuna izixhobo ezihambisa i-token. Yintoni Yintoni "I-Stochastically parroted" yinto enhle ngo-2023. Ayikho intelligence. Yinto i-probability cosplay. carry objects through time bind cause to effect keep the scene consistent Kwaye apha yinto ezininzi ethandwa phambi kwimveliso ye-tech: ukuba i-AI ibonakala Kwimeko I-Industrial That Burned Ukwenza i-chatty cockatoos iya kutshintshwe. Ngoku. likelihood reality 1 trillion dollars Yintoni i-JEPA i-AI ye-new hope? Kwi-galactic enezantsi kwe-Menlo Park, i-acronym entsha ifumaneka emanzini ye-chatbot: JEPA! The promised one. The architecture was said to restore balance to the Force after the LLM wars. Ngaphambi kokufumana i-Meta ye-marketing i-baptize njenge-Messiya elandelayo, siza kuthetha i-acronym. stands for iindidi ezine ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi ezininzi: JEPA Joint Embedding Predictive Architecture - I-joint, ngenxa yokuzonwabisa iindidi ezimbini ye-scene - enye elifanelekileyo, enye elifutshane - kwaye zihlanganisa ukufikelela kwi-space eyahlukileyo. Ukubunjwa, ngenxa yokuba ngaphandle kokufumana iipikseli ezincinane okanye iingcebiso ezifana ne-LLMs, isebenza kwi-vector representations ezincinane: i-space ebonakalayo apho i-AI esebenzayo. I-Predictive, ngenxa yokuba i-trick yayo kuphela ibonelela i-chunk ezikhoyo ukusuka kwelinye enokuthanda. I-Architecture, ngenxa yokuba yonke inkqubo entsha ye-AI kufuneka i-noun ye-impressive ekupheleni ukuze kubonakala kwi-academic. I-High Priest of the i-cult - like to put it, kwi-english epheleleyo: As U-Yann LeCun - iimveliso ze-LLM iimveliso U-Yann LeCun U-Yann LeCun iimveliso ze-LLM Intelligent is not a language, nor is it predicting the next word. Intelligent is predicting what will happen in the world. Intelligent is not a language, nor is it predicting the next word. Intelligent is predicting what will happen in the world. . It learns to — not by generating text or pixels, but by aligning internal representations so that . Yinto yintoni i-JEPA ihamba ukwenza guess what’s missing in a world it only half perceives context can explain absence Yinto yintoni i-JEPA ihamba ukwenza It is not writing; it completes. It is not imagining; it infers. It is not writing; it completes. It is not imagining; it infers. Ngaba i-good enough to be true? Kodwa mhlawumbi uxhomekeke ukuba oku yintoni lokwenene - okanye nje enye iimveliso ze-tech eyenziwe ngexesha elide kunye ne-intelligence engapheliyo Let’s cut through the grand talk for a second. Meta Ukubonisa Njengoko i-revelation eyenziwe kwi-silicon: i-ear of "intelligence yokwenene", i-end of chatbots, i-beginning of world-model gods. JEPA Kwaye ngexesha lokuqala, kuba kweli Ngaba ndiyabakhokela ngoko - ngoko ke ukususa i-halo ye-marketing, kwaye uya kufumana into efanelekileyo. Ngaphandle kwe-miracle ye-LeCun yokuthengisa, kodwa nayiphi na into enzima: , kodwa unxibelelwano elide ukuba uye Ukusebenza Umzila wesiqhelo elungileyo Ngoku, i-JEPA ibekwe ikakhulu kwi Nangona i nokuba leans kakhulu on the same Zifumaneka ukuba ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye zibe. videos and physical-world scenarios wording layer stochastic parrot LLMs Nangona kunjalo, i-Meta akufunyanisa ukuba akufunyenwe kwindawo yayo kwi-brochures. Akukho ingxaki Ngoko ke, ngoko ke, i-JEPA ibonakala emangalisayo - iimoduli ezintsha, izihlahla ezincinane, kunye ne-smart sensation of purpose, kodwa phantsi, siza kuxhomekeke i-pot efanayo. I-word-soup problem just got an upgrade to . Iintlobo ezahlukeneyo, i-indigestion efanayo. concept-soup Ukusebenza ngokufanelekileyo, Yintoni iinkcukacha zentengiso. Njengoko ibhayisikili elandelayo ibonisa - umnxeba umnxeba we-Meta, Ukucinga Yaye form a neat little triad that genuinely breaks from the Kwakhona i-LLMs JEPA context encoder target encoder predictor token tyranny Yintoni ungenza ngokwenene Ukucinga Ngaba ufuna? Ngoko, unokufumana i-wit , kwaye ibonelela i-part ebangeni Ukutya kwi-pixel, kodwa . Yintoni iimveliso: Ukucinga JEPA h half an image Kuba wena, reasoning in latent space perception over parroting. Yinto i lineup: Ukuvumelana iimveliso ezininzi kuphela iimveliso ezininzi ezaziwayo, ezininzi. isixeko esikhoyo phantsi kwe-stable distractor noomgca, kwaye ayidlulanga kwilwimi. I-JEPA Ukucinga But I-JEPA I-JEPA , trained on videos to learn motion intuition, what moves, when, and why. i-non-real physics: i-collisions, i-forces, i-contact yaye ngaphandle kokuphumelela. Kwiimeko V-JEPA But Kwiimeko V-JEPA V-JEPA Okuninzi kwi-Robotics? ** **Ukuhambisa iibhodi ze-robot, ukuhlaziywa njani izicwangciso ngaphambi kokusebenza. Zonke iimveliso ezisetyenziswa kwimveliso ezisetyenziswa kwimveliso ezisetyenziswa kwiimveliso ezisetyenziswa kwiimveliso ezisetyenziswa kwiimveliso ezisetyenziswa kwiimveliso ezisetyenziswa kwiimveliso ezisetyenziswa kwiimveliso ezisetyenziswa kwiimveliso ezisetyenziswa. Ukuthetha malunga neYeyona. V-JEPA 2 But LLM V-JEPA 2 So yes, progress, enough to declare LLM technology as a fossil in artificial life maintenance - but still flatland thinking dressed up as revelation. And that’s the part Meta doesn’t want you to see. Ndiyathanda iingcebiso elidlulileyo ekubeni iingcebiso ze-JEPA kunye neengcebiso ze-LeCun: Zifumaneka inkinga le-lingvistic ngokwenza inkinga le-architectural elidlulileyo kwi-mathematically. Zifumaneka kwi-word-prison kuphela ukwakha i-concept-prison kunye nemifundo ezincinane. Nazi iingcebiso elizayo ekubeni iingcebiso ze-slick ye-JEPA kunye neengcebiso ze-LeCun: they solved the problem by creating an one that’s mathematically far worse. Ukucinga Ukucinga Ukucinga Ukucinga Zifumaneka kwi-word-prison kuphela ukwakha i-concept-prison kunye nemifundo ezincinane. Think about it: LLMs were bad because they treated reality as a linear sequence of tokens: a one-dimensional march through probability space. JEPA says “ ” kwaye uhamba kwi-high-dimensional representation space, apho iingcebiso zihamba njenge-vectors kwi . Ndingathanda ngaphezulu kunokuba 768-dimensional cloud Ndingathanda ngaphezulu kunokuba Ngaba kubonakala ngempumelelo, ngoko? Wrong. Zifumaneka i-bad neighborhood ye-worse neighborhood ye-sous-sous-sous-sous-sous-sous-sous. . iimeko zeemathemikhali zihlanganisa iingxaki I-Fatal Mathematical Doom ye-Architectures ezintsha ye-AI: Zibonakalisa Indawo ye-Flat World Kwaye ngoku, uqhagamshelane, umdlali wayo, ukuba ufunde into efunyenwe kwamanye amazwe. Yintoni i-poison ye-matematics ikhulisa ngokucacileyo zonke i-AI architecture - ukususela kwi-Dinosaurs ye-LLM ukuya kwiingcebisi ezintsha abalandeli ukuba zibonise yonke into. stop. Breathe 😄 Le ngoko i-story ivela ebonakalayo. But don’t worry, we have the antidote. And you can use it to your own advantage. Before you go on, a small recommendation. Ukuba ufuna ukufumana ngakumbi - kwi-mathematics emangalisayo, emangalisayo, emangalisayo ebonakalayo ebonakalayo ukuba imodeli ye-toroidal ye-double-number ithatha i-hallucinations kunye ne-doom ye-myopic ebonakalayo kwi-AI architectures ezidlulileyo - ndiyavuma iindidi ezincinane ezivela kwakhona: → →__ __\→ JEPA-AI: Core Technologies & Programming Stack The Mathematical Myopia of New AI Architectures Mathematical Core Equations: AI JEPA’s Failures vs. AI-Toroidal Truth I-JEPA-AI: I-Core Technologies & Programming Stack I-JEPA-AI: I-Core Technologies & Programming Stack I-Mathematical Myopia ye-AI Architectures ezintsha Mathematical Core Equations: AI JEPA’s Failures vs. AI-Toroidal Truth Mathematical Core Equations: AI JEPA’s Failures vs. AI-Toroidal Truth Fumana ixesha yakho apho ukuba ufuna. Ukuba akukho, uqhagamshelane nathi. Ndiyathandayo ukufika kwi-Event Horizon. Ngoko ke, siphinde. Imagine you’re trying to organize your massive music library. You could throw all your songs into one giant folder and hope your computer can tell the difference between “Stairway to Heaven” and “Highway to Hell” based on… vibes? That’s basically what JEPA and the new AI architectures are doing. Here’s the problem: these systems live in what mathematicians call “Euclidean space”, basically a flat, infinite spreadsheet where everything is a bunch of numbers floating around. Sounds reasonable, right? Wrong. Yintoni uya kufumana umdla wama-matematics efanelekileyo kwizinhlelo ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye zithengiswa njenge-antidote ye-LLM poison. Zibonisa ukhuseleko kodwa zihlala i-matematics efanayo. Yintoni uya kufumana umdla wama-matematics efanelekileyo kwizinhlelo ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye ziye zithengiswa njenge-antidote ye-LLM poison. Zibonisa ukhuseleko kodwa zihlala i-matematics efanayo. Yintoni uya kufumana umdla wama-matematical efanelekileyo efanelekileyo kwi-inthanethi ye-inthanethi ye-inthanethi ye-next-generation: ziye zithengiswa njenge-antidote ye-LLM poison. They promise salvation but inherit the same broken math. — Welcome again to the Hall of AI Shame. Here they are. — The Birthday Party Disaster Ngaba uyazi i-paradox yeentsuku? Wabelane i-23-indoda ezininzi kwi-room, kwaye kunokuba i-50% ukuba iindoda ezimbini zihlanganisa iintsuku zeentsuku. Ngoku ukubonisa i-AI yakho kufuneka ukugcina iiprojekthi ezininzi kwi-flat-number-space. "I-White Truck" ikakhulukazi ibonakala ngexesha elifanayo kunye ne-"light sky" ngenxa yokufika kwindawo efanayo kwi-supp ye-number ye-gigant, yaye ngoko uye ufumane ama-auto-driving Tesla killer cars. The math says: Ukukhangisa ukhuseleko The Math says: collision guaranteed Ukukhangisa ukhuseleko Yinto efana nokufunda i-library ngokuhambisa iibhodi kwi-storage kunye nokufuna ukuba uyakwazi ukufumana emva kokufunda i-coordinates ze-approximate. The Gradient Descent Hamster Wheel Current AI architectures use something called “gradient descent” to find the minimum error given an error function, which is a fancy way of saying they stumble around in the dark, poking things with a stick, hoping to eventually find the exit. Izixhobo zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi zehlabathi. The problem? They use fake infinitesimals with point-wise myopic vision The problem? They use fake infinitesimals with point-wise myopic vision I-Problem? Zisebenzisa ama-infinitesimals ezamahala kunye ne-point-wise vision But wait, it gets dumber: you have to pick your epsilon (the step size) Ngaba uqala ukuchithwa. Khetha lo enkulu kakhulu? Uya umntu omnqweno kwi-party, ukuthatha iingcebiso ezininzi kunye nokuthintela kwiingcebiso. I-Too Small? Uya kuxhomekeka ngathi i-sleeve ye-paranoid, kwaye uyafa emzimbeni ngaphambi kokufumana kwindawo eyodwa. Yup, lo mkhondo epheleleyo lithunyelwe kwi-calculus ye-19th century kunye ne-epsilon-delta limit formalism. before Kodwa into enhle kakhulu kunokwenzeka ngexesha lokufunda: I-AI isebenze iimali ezininzi zezi zinyathelo ze-tiptoeing zokusiza ukunciphisa umsebenzi yayo yokuthintela. Iimiliya! Zonke ziyi-hop off the cliff like a buggy robot or advances like Windows loading at 1%. I-waste ye-computing i-absolutely bonkers - yonke ngenxa yinkqubo yayo ebhalisiweyo, ebizwa kwi-19. century, ibonelela ukuba ukhethe iindleko ye-epsilon phambi. Kodwa into enhle kakhulu kunokwenzeka ngexesha lokufunda: I-AI isebenze iimali ezininzi zezi zinyathelo ze-tiptoeing zokusiza ukunciphisa umsebenzi yayo yokuthintela. Iimiliya! Zonke ziyi-hop off the cliff like a buggy robot or advances like Windows loading at 1%. I-waste ye-computing i-absolutely bonkers - yonke ngenxa yinkqubo yayo ebhalisiweyo, ebizwa kwi-19. century, ibonelela ukuba ukhethe iindleko ye-epsilon phambi. caused by this outdated way of doing infinitesimal calculus is the compounding effect of tiny approximation errors. You start with something like 10^-8 and think, “Eh, close enough to zero, right?” Wrong. Square it and you get 10^-16. Still. Not. Zero. After billions of iterations, these pretend infinitesimals pile up like compound interest from hell, spawning numerical explosions, instabilities, and rounding errors that eventually turn into full-blown AI hallucinations. The second error Yup, kukho isisombululo elula: uqhagamshelane kwinkqubo yeenkcukacha ezimbini elithanda kule show ye-clown ngokupheleleyo. Akukho iimfuno. Akukho iimidlalo ze-epsilon. Akukho i-billion-step hamster wheel. Xa ε2 = 0 ngokufanelekileyo, akukho ukuhlaziywa, umthetho we-mathematics efanelekileyo: i-derivatives iyathembekile, kwaye i-topology inikeza nje apho yonke into kufuneka. Akukho ukuchithwa kufuneka. Yup, kukho isisombululo elula: ukuguqulwa kwinkqubo ye-double-number enomdla kulo mdlalo we-clown. No limits. No epsilon guessing games. No billion-step hamster wheel. When ε² = 0 by definition, not approximation, actual mathematical law: derivatives are exact, and topology just tells you where everything belongs. No stumbling required. Yup, there is an easy solution: switch to a dual-number system that laughs at this entire clown show. The Attention Apocalypse usebenzise into ebizwa ngokuba yi- "i-attention", apho zonke iingxelo zibonise zonke iingxelo ezininzi. Oku yi-N-quared complexity, nto leyo kuthetha ukuba ukhangela ubude lakho le text, ukucaciswa kwandisa i-4x. Transformers (the tech behind ChatGPT, not the robots) Transformers (the tech behind ChatGPT, not the robots) Ngama-1000 iingoma? Yintoni iimilion yeengxaki. Ngama-10,000 iingoma? 100 million iingxaki. I-AI yakho ikakhulukazi ukhangela ibhokisi ngokubala zonke iingoma kunye nezinye iingoma ngexesha elifanayo. I-exhausting kunye ne-expensive. Indlela I-Model Yayo Yayo Yenza I-AI Flatland Doom Ngaba ndiyabonga nami apha. Instead of a flat spreadsheet, we use a I-DONUT (Mathematically, a torus) Kwimeko yeplastiki flat, siye usebenzisa a I-DONUT donut (Mathematically, a torus) Kwi-donut, ungenza i-string kwiindlela ezahlukeneyo: malunga ne-hole, nge-hole, okanye zombini. . It’s not probability, it’s topology. Different winding patterns are as different as a circle and a figure-8. They literally cannot become each other. These “winding patterns” give every concept a unique address that Ngaba Ukucinga These “winding patterns” give every concept a unique address that Ngaba Ngaba Ukucinga The Real Infinitesimals - it’s the definition. This means our layers are separated by actual infinitesimals, not fake ones. No numerical explosions. No gradient descent needed. The topology just… works. We use dual numbers where ε² = 0 isn’t an approximation Ukusetyenziswa kwinombolo ezimbini apho ε2 = 0 ayikho i-approximation Sparse by Design . Most connections are exactly zero - not “close to zero” but . This drops complexity from N-squared to linear. That 100 million comparisons? Our attention mechanism only connects compatible winding patterns structurally impossible Kwakhona i-10,000. I-Mechanism yethu ye-Attention ihambelana kuphela iimveliso zokugqoka ezifanelekileyo Now it’s 10,000. The Bottom Line The Bottom Line I-JEPA kunye ne-AI ezintsha i-architectures ziyafumaneka ukuguqulwa kweempawu zethu ezininzi ezimbini ukuya kwi-AI efanelekileyo. Kodwa nangona kunjalo, njenge-LLMs, zibonisa i-error efanayo ngokufunda kwihlabathi elifutshane kunye ne-compass embalwa. Ukuphakamisa okwenziwe ngexesha lokufanelekileyo kunokwenzeka ngexesha lokufanelekileyo kunye nokufanelekileyo. Ukuphakamisa okwenziwe ngexesha lokufanelekileyo kunokwenzeka ngexesha lokufanelekileyo kunye nokufanelekileyo. Thina kufuneka ushiye i-cage ye-Euclidean eyenza i-intelligence kwi-two-dimensional, kwaye isakhiwo kwi-topology apho umdla inokufumana. Kwimodeli yethu ye-toroidal, iingcebiso zihlanganisa okanye zihlanganisa. Zihlala kwizixeko ezahlukileyo, zihlanganisa: zonke zihlanganisa ngokufanelekileyo, zihlanganisa ukusuka kwi-chaos ye-fake merges. Yintoni i-AI ye-Toroidal ayikho - kodwa Ngoku, umdlali wokuqhelekanga ingathanda: "Ukuba oku kubalulekile, ngoko ke ngaba nayiphi na umntu awukwazi ukuvelisa?" "Ukuba oku kubalulekile, ngoko ke ngaba nayiphi na umntu awukwazi ukuvelisa?" Fair question - and the answer itself proves the point. The entire AI establishment has sunk trillions into Euclidean architectures. . Replacing that geometry would mean rebuilding the cathedral from its foundations - and few engineers dare shake the pillars of their own temple. 1. Institutional Inertia: Every framework, every GPU kernel, every optimization routine assumes a flat world Zonke iframework, zonke i-GPU kernel, zonke iintlobo ze-optimization ziyafumaneka kwihlabathi elula Zonke iframework, zonke i-GPU kernel, zonke iintlobo ze-optimization ziyafumaneka kwihlabathi elula . Retraining them to reason with curvature, continuity, and dual numbers is not a weekend tutorial - it’s a civilizational shift in mathematical literacy. 2. The Workforce Barrier: __ A full generation of machine-learning engineers has been trained to think in gradients, not geometry A full generation of machine-learning engineers has been trained to think in gradients, not geometry Yintoni ingxaki ye-paradigma ye-geometric efanelekileyo uyavuma iingxaki ezininzi ze-intellectual property kunye ne-licensing chains. I-system ayiyi-optimized ngenxa ye-truth - i-optimized ngenxa ye-control. 3. Patents and IP Locks: Big Tech doesn’t innovate; it defends its moat Big Tech doesn’t innovate; it defends its moat Ukusuka kwi-cloud infrastructure ukuya kwi-AI chips, yonke into ifakwe kwi-flatland paradigm. Ngaphandle kweengcali it’s broken, the machinery keeps running - . 4. The Sunk-Cost Fallacy: know ngenxa yokubonakaliswa kubandakanya i-balance sheets ezininzi kunye ne-ego ezininzi ngenxa yokubonakaliswa kubandakanya i-balance sheets ezininzi kunye ne-ego ezininzi because admitting it would collapse too many balance sheets and too many egos Ngoko ke - ayikho kwakhona. Akukho ngenxa yokungabikho. Kodwa ngenxa yokuba , too disruptive, and too costly for a world addicted to its own mistakes. too right Yintoni ngoko ke uya kuba. Yintoni iMathematics akufanele ukuba uxhumane. Yintoni iingoma ziye zibonakalisa - njalo. Kwaye ngexesha elide, iinkampani ezintsha ziya kufumana i-cracks. Uya bakwazi ukuvelisa i-Toroidal AI ngokufanelekileyo njengoko zonke iinkqubo ezinxulumeneyo ezidlulileyo:Ukuqaleni, i-ignored -kukhangisa kakhulu kwi-trillion-dollars yeengxaki ze-investments.Emva koko, i-crackpot ye-accusations ezihlangeneyo evela kumadoda abahlala i-topology.Yaye ngexesha lokugqibela, i-accepted ngempumelelo* "Ngokuqhelekileyo! Thina uyayithanda ukuba i-Euklidian space yaba ngempumelelo." And soon, the new startups will notice the gap. You’ll watch Toroidal AI evolve exactly as every disruptive technology has before it: First ignored - Emva koko iingxaki ze-"crackpot" ezininzi ezivela kumadoda abahlala i-topology. Kwaye ekugqibeleni, uyakwazi ukufumana ngempumelelo * "Ngokuthi! Thina uyazi ukuba i-Euklidian Space iyiphi na ingxaki." too threatening to a trillion dollars in sunk investments. History doesn’t repeat itself. It curves. 😁 Top 10 eziqhelekileyo Kwimeko ye-JEPA Architectures: (September 2025) 1.- LLM-JEPA: Large Language Models Meet Joint Embedding Predictive Architectures 1.- LLM-JEPA: Large Language Models Meet Joint Embedding Predictive Architectures 1.- LLM-JEPA: Large Language Models Meet Joint Embedding Predictive Architectures (Ukuqaleni kwe-2025) 2.- ACT-JEPA: Novel Joint-Embedding Architecture for Efficient Policy Representation Ukufundwa 2.- ACT-JEPA: Novel Joint-Embedding Architecture for Efficient Policy Representation Ukufundwa 2.- ACT-JEPA: Novel Joint-Embedding Architecture for Efficient Policy Representation Ukufundwa (Wagqibela ngoFebruary 2025) 3.- Point-JEPA: A Joint Embedding Predictive Architecture for Self-Supervised Learning on Point Cloud 3.- Point-JEPA: A Joint Embedding Predictive Architecture for Self-Supervised Learning on Point Cloud 3.- Point-JEPA: A Joint Embedding Predictive Architecture for Self-Supervised Learning on Point Cloud I-Transformer ye-Attention Complexity: (NgoLwesihlanu 2024) 4.- The End of Transformers? On Challenging Attention and the Rise of Sub-Quadratic Architectures 4.- The End of Transformers? On Challenging Attention and the Rise of Sub-Quadratic Architectures 4.- I-End of Transformers? Ngomthombo oluthambileyo kunye ne-Rise of Sub-Quadratic Architectures (Oktobha 2023, ngoku ngokubanzi ifumaneka kwi-2024-2025) 5.- FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning 5.- FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning 5.- FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning On Toroidal / Topological Neural Networks: (Januwari 2022, Nature - kwakhona isiseko 2024-25 umsebenzi) 6.- Toroidal Topology of Population Activity in Grid Cells 6.- Toroidal Topology of Population Activity in Grid Cells I-Toroidal Topology ye-population activity kwi-grid cells (Unga 2022) 7.- Deep Networks on Toroids: Removing Symmetries Reveals the Structure of Flat Regions in the Landscape Geometry 7.- I-Deep Networks on Toroids: Ukunciphisa I-Symmetries I-Structure of Flat Regions kwi-Landscape Geometry 7.- Deep Networks on Toroids: Removing Symmetries Reveals the Structure of Flat Regions in the Landscape Geometry On Dual Numbers & Automatic Differentiation: (Ukulungiselela ngoJanuwari 2025) 8-. Dual Numbers for Arbitrary Order Automatic Differentiation I-Dual Numbers I-Automatic Differentiation ye-Arbitrary Order I-Dual Numbers I-Automatic Differentiation ye-Arbitrary Order On LLM Hallucinations: (September 2025) 9.- Why Language Models Hallucinate 9.- Yintoni iimodeli zebhizinisi zihlukile 9.- Yintoni iimodeli zebhizinisi zihlukile I-Bonus - I-Vision yeYann LeCun: (April 2025) 10.- Navigation World Models 10.- Navigation World Models 10.- Iimodeli zeNavigation World