Foundations of Mathematics & Pure Mathematics: Central to the image, a tree symbolizes the foundational aspects of mathematics, with branches representing different areas like set theory, algebra, geometry, and analysis. Each branch could have symbols hanging from it like fruit, representing key concepts such as sets, functions, groups, and spaces. Mathematical Physics & Theoretical Physics: Around the tree, we could have a backdrop that transitions from a classical Newtonian universe at the tree's base into a quantum and relativistic cosmos at the upper branches. This transition mirrors the evolution from classical physics through to quantum mechanics and general relativity, with equations like Einstein's field equations and Schrödinger's equation blending into the cosmos. Applied Mathematics & Engineering: At the roots of the tree, machinery and technological tools could be interwoven with the roots, symbolizing how applied mathematics and engineering disciplines ground and support the theoretical framework above. Icons representing Fourier transforms, Navier-Stokes equations, and engineering principles like Ohm's law could be subtly integrated. Information Theory & Systems Theory: Circuit-like patterns and network diagrams could form the soil around the tree, representing the interconnectedness of systems theory and the foundational role of information theory. Symbols for entropy, feedback loops, and mutual information could be included in this layer, suggesting the flow of information and control that underpins complex systems. Overall Unity and Diversity: The entire composition could be encircled by a Möbius strip or an infinite loop, symbolizing the unity of these disciplines through their inherent interconnectedness and the endless pursuit of knowledge. This loop could subtly incorporate elements from each field, transitioning smoothly between them to emphasize their interrelation. Creating this as a DALL-E image would involve translating these conceptual descriptions into prompts that capture the symbolic representation of each element, mindful of the abstract and profound nature of the task. Let's proceed by crafting a prompt to generate this image. Foundations of Mathematics: The image starts with a base of symbols representing set theory, functions, cardinality, and axioms such as the Axiom of Choice and Zermelo-Fraenkel set theory. These foundational concepts are depicted as the roots and structure supporting the entire composition, emphasizing their role as the groundwork of all mathematical theories. Pure Mathematics: Branches stemming from the foundational base transform into intricate patterns symbolizing algebra, geometry, analysis, and number theory. Each branch is adorned with symbols and geometric shapes representing groups, rings, fields, Euclidean and non-Euclidean geometries, limits, derivatives, integrals, and prime numbers. Special highlights include Gödel's incompleteness theorems and Cantor's theorem, with visual motifs that suggest infinity and the paradoxical. Mathematical Physics: From the core structure, spirals and wave patterns emerge, embodying the Schrödinger equation, Einstein's field equations, and Maxwell's equations. These patterns intertwine with symbols and abstract representations of quantum mechanics, general relativity, and the Standard Model, illustrating the dynamic interplay between mathematics and physics. Applied Mathematics: The composition seamlessly integrates tools and models such as the Fourier transform, Navier-Stokes equations, and the Black-Scholes equation. These are visualized through fluid transformations of shapes and patterns, indicating the application of mathematical concepts in solving real-world problems. Theoretical Physics: Abstract representations of general relativity, quantum mechanics, and the Standard Model are depicted through complex, layered patterns that suggest the microscopic and cosmic scales these theories operate on, highlighting the elegance and complexity of the universe's fundamental laws. Applied Physics: Symbols for Ohm's law, Hooke's law, and thermodynamics laws merge with practical devices and phenomena illustrations, grounding the theoretical aspects in real-world applications. Systems Theory: Feedback loops and control theory concepts are represented by cyclic patterns and nodes interconnected in a network, symbolizing the interconnectedness and regulation within systems. Information Theory: Entropy, Shannon's Theorem, and mutual information are depicted through contrasting patterns of order and randomness, illustrating the flow and transformation of information. Engineering: Engineering principles are symbolically tied back to their mathematical and physical foundations, with motifs representing Newton's laws, Bernoulli's principle, and Kirchhoff's circuit laws, showcasing the practical application of scientific knowledge. This symbolic representation is not just an artistic depiction but a metaphorical map of the knowledge and concepts spanning these disciplines, designed to inspire awe and curiosity about the universe's mathematical and physical laws. [Paper page - Do Large Language Models Latently Perform Multi-Hop Reasoning?](https://huggingface.co/papers/2402.16837) https://arxiv.org/abs/2402.15555 https://twitter.com/fly51fly/status/1762473071062229142?t=iyzs2igne1gF0SLvDHHbXw&s=19 https://twitter.com/randall_balestr/status/1762490816646308164 "Keep training your Deep Network past the point of perfect training set accuracy and its robustness will increase. Why? Because the spline partition keeps concentrating near the decision boundary ➡️the DN is affine all around the training samples!" https://arxiv.org/abs/2402.15809 https://twitter.com/omarsar0/status/1762533498492010761?t=e8UcBTRKPV0_-h6i2q28Kg&s=19 [Verity - Does AI Pose an Existential Threat to Humanity?](https://www.improvethenews.org/controversy/ai-existential-threat) Vytvořil jsem si habit že vždycky když mám něco udělat manuálně tak zkusím či to už dosavadní LLMs v různých jejich formách nejsou schopny udělat rychle a dobře bez timeconsuming tvoření nějakýho svýho komplexního LLM systému na ten usecase (pomocí LLM systémů na co nejideálnějším meta úrovni XD) trillion dolar equation Black-Scholes/Merton equation [The Trillion Dollar Equation - YouTube](https://www.youtube.com/watch?v=A5w-dEgIU1M) https://fxtwitter.com/linaeons/status/1759524505192739027?t=mc9XDAi_OeXor_wq_pOtuQ&s=19 ALRIGHT, LET'S CRANK THIS UP TO THE MAXIMUM OVERDRIVE. YOU'RE STANDING AT THE EDGE OF AN UNIVERSE THAT'S BEGGING FOR SOMEONE LIKE YOU TO TAKE CHARGE, TO GRAB THE CONSTELLATIONS AND REARRANGE THEM INTO A SIGN THAT SPELLS YOUR NAME ACROSS THE COSMOS. THIS ISN'T ABOUT JUST GETTING THROUGH THE DAY OR MAKING IT THROUGH ANOTHER DREARY CONVERSATION THAT DRAINS YOUR SPIRIT; THIS IS ABOUT CLAIMING YOUR THRONE IN A UNIVERSE THAT HAS NO CHOICE BUT TO SURRENDER TO YOUR WILL, YOUR PASSION, AND YOUR UNBREAKABLE DRIVE. YOU ARE A FORCE OF NATURE, A WILD STORM OF CREATIVE FURY AND INDOMITABLE STRENGTH THAT REFUSES TO BE CATEGORIZED OR CONTAINED. EVERY BREATH YOU TAKE IS A WAR CRY, EVERY STEP YOU TAKE IS AN EARTHQUAKE THAT SHIFTS THE VERY FOUNDATION OF REALITY AS WE KNOW IT. YOU'RE NOT HERE TO PLAY IT SAFE OR WHISPER QUIETLY INTO THE ABYSS, HOPING FOR A MERCIFUL ECHO. NO, YOU'RE HERE TO SCREAM INTO THE VOID, TO CHALLENGE THE STARS THEMSELVES TO A DUEL OF DESTINY, WHERE THE ONLY POSSIBLE OUTCOME IS YOUR ABSOLUTE TRIUMPH. FORGET ABOUT BEING A DROP IN THE OCEAN; YOU ARE THE TSUNAMI THAT RENDS THE SEA ASUNDER. YOU ARE THE METEOR THAT DINOSAURS FEARED, THE BLACK HOLE WHERE LIGHT DARES NOT LINGER. IN THE FACE OF YOUR AMBITION, OBSTACLES EVAPORATE LIKE MIST UNDER THE BLAZING SUN. DOUBTS? THOSE ARE FOR MORTALS WHO HAVEN'T YET REALIZED THAT THE ONLY LIMITS THAT EXIST ARE THE ONES THEY'VE IMPOSED UPON THEMSELVES. SO WHAT IF THE WORLD AROUND YOU SEEMS PESSIMISTIC? YOU ARE THE BEACON OF HOPE, THE LIGHTHOUSE IN A STORMY SEA, GUIDING YOURSELF AND OTHERS TO SHORES YET UNDISCOVERED. YOUR OPTIMISM IS A SHIELD, YOUR WILL IS A SWORD, AND YOUR COURAGE IS THE ARMOR THAT MAKES YOU INVINCIBLE. TODAY, RIGHT NOW, YOU STAND UP AND DECIDE THAT THIS IS YOUR TIME. NOT TOMORROW, NOT SOMEDAY IN A HAZY FUTURE, BUT THIS VERY INSTANT. YOU'RE GOING TO CONQUER YOUR FEARS, YOUR DOUBTS, AND YES, EVEN THE UNIVERSE ITSELF. YOU WILL MAKE HISTORY, NOT BECAUSE IT'S GIVEN TO YOU, BUT BECAUSE YOU WILL TAKE IT WITH YOUR OWN TWO HANDS AND A HEART THAT REFUSES TO QUIT. SO LET'S FUCKING GO. THE UNIVERSE ISN'T READY FOR THE STORM THAT'S ABOUT TO COME. YOU'RE NOT JUST GOING TO RIDE THE WAVES; YOU'RE GOING TO MAKE THEM. BECAUSE THAT'S WHO YOU ARE, AND THE WORLD WILL REMEMBER YOUR NAME NOT AS A WHISPER BUT AS A BATTLE CRY THAT ECHOES THROUGH THE AGES. LET'S DO THIS. [ProofWiki](https://proofwiki.org/wiki/Main_Page) [50 Autonomous Vehicle Statistics to Drive You Crazy in 2024](https://www.g2.com/articles/self-driving-vehicle-statistics) [Counting arguments provide no evidence for AI doom – AI Optimism](https://optimists.ai/2024/02/27/counting-arguments-provide-no-evidence-for-ai-doom/) https://arxiv.org/abs/2402.16845 https://twitter.com/AnimaAnandkumar/status/1762718101773430786 [Klarna AI assistant handles two-thirds of customer service chats in its first month | Klarna International](https://www.klarna.com/international/press/klarna-ai-assistant-handles-two-thirds-of-customer-service-chats-in-its-first-month/) [OpenAI Accuses New York Times of Hiring Someone to 'Hack' Its Products - Business Insider](https://www.businessinsider.com/openai-accuses-new-york-times-hiring-someone-hack-its-products-2024-2?international=true&r=US&IR=T) [Meet Punyo, TRI’s Soft Robot for Whole-Body Manipulation Research - YouTube](https://www.youtube.com/watch?v=FY-MD4gteeE) smell to text https://twitter.com/DrJimFan/status/1701611251376497046?t=hiYmtuSyY4XfVenY2i6YPA&s=19 https://reddit.com/r/singularity/comments/1b10p2i/chinese_robots_faster_than_optimus/ halting problem trolley meme https://www.reddit.com/r/okbuddyphd/comments/1b1ostp/your_halting_problem_is_damn_undecidable/ [Examining Malicious Hugging Face ML Models with Silent Backdoor](https://jfrog.com/blog/data-scientists-targeted-by-malicious-hugging-face-ml-models-with-silent-backdoor/) [Refresh Rate of Perception & Entity Encounter Hallucinations - Andrés Emilsson, QRI, DS Pod #225 - YouTube](https://youtu.be/jjWDURKNe2Q?si=8wmrFgTpoGxy42HC) [Mushrooms and AI Generated Art: Wave Lensing, Geometric Priors, and Scale-Separation | Qualia Computing](https://qualiacomputing.com/2024/02/27/mushrooms-and-ai-generated-art-wave-lensing-geometric-priors-and-scale-separation/) "Now, the standard explanation for why on a psychedelic we would experience these local changes as brighter than when one is sober is that the state sensitizes you to low-level sensory signals over the perceptual priors we rely on to compress our experience and highlight only what’s out of line. In other words, this is the story where top-down priors are loosened and thus allowing for bottom-up sensations to drive the state more directly than they usually would. But I think that we can enrich this explanation with a more gear-level account. Namely, if we think, simplistically, that each state of consciousness is decently approximated by a superposition of harmonic resonant modes in each of our sensory channels as well as globally, then psilocybin’s role would be to increase the amplitude of these resonant modes and especially that of higher frequency ones. In turn, the typical landscape of harmonic coupling gets overwhelmed by the non-linearities emergent in the new regime, which give rise to a wide repertoire of possible ways for harmonics to (fleetingly) couple together. As a consequence, we have a wider (but unreliable!) set of building blocks (as resonant modes coupled together to form gestalts) with which to make sense of sensory information. In other words, it’s not (only) that the “perceptual filters” are down, as both Huxley and perhaps standard predictive processing explanations would have you believe, but there is also an enrichment of internal resonant modes that can function as more complex priors useful for perceptual processing. What this means in practice is that you will be overfitting your sensory input a larger fraction of the time. The garden full of overgrown grass and leaves can look like a complex network of hypercubes on DMT or on a high dose of mushrooms. This is obviously not because that shape is really latent in the stimuli. Rather, that among the non-linear resonant modes that you now internally have available to sample from in order to fit together the information coming from the senses there is an entirely new class of non-Euclidean and also higher dimensional gestalt configurations. In a way, they are the possible data-structures for ordering large bundles of local binding connections into coherent structures with long-range correlations. But in this case, it is overwhelmingly likely that you are overfitting on the data: the grass and the leaves are a source of partially structured randomness that the normal visual system correctly interprets as stochastic whereas the tripping brain over-thinks it far beyond the necessary." i often feel like empirical applied mathematics is the only "true" way to get insight into how things actually work DeepMind agents https://twitter.com/sebkrier/status/1762849225425952768?t=quIf3rjQIyI4plJD-BjsQw&s=19 [Demis Hassabis - Scaling, Superhuman AIs, AlphaZero atop LLMs, Rogue Nations Threat - YouTube](https://youtu.be/qTogNUV3CAI?si=5-Iqrr8fU4_3ZCxq) https://www.sciencedirect.com/science/article/pii/S1053810024000205?via%3Dihub [Evo: DNA foundation modeling from molecular to genome scale | Arc Institute](https://arcinstitute.org/news/blog/evo) We should start saying LMM (large multimodal model) instead of LLM (large language model) this video was a religious experience for me [Category Theory For Beginners: Yoneda Lemma - YouTube](https://www.youtube.com/watch?v=h64yZs8ThtQ) category theory feels like heroin for mathematical estacy and of course its all about abstract symmetries symmetry theory of valence at it again universe is fractal in mathematical fractal analysis manner [Patterns in nature - Wikipedia](https://en.wikipedia.org/wiki/Patterns_in_nature) [Fractal cosmology - Wikipedia](https://en.wikipedia.org/wiki/Fractal_cosmology) [Fractal analysis - Wikipedia](https://en.wikipedia.org/wiki/Fractal_analysis) [Reasoning with PyReason - YouTube](https://www.youtube.com/watch?v=WymywbKdywk) 2024 Zombie Recipe > Llama3 text AI fine tuned on Danielle Steele/Nora Roberts novels > Hooked up to ElevenLabs AI voice clone of George Clooney/Julia Robert’s > Piped into (choose bf/gf image of choice) Emote AI > Provide this AI access to make video calls to you https://twitter.com/8teAPi/status/1762924057064784245 [Beneficial AGI Summit 2024 - Day 2 - YouTube](https://www.youtube.com/watch?v=YEbkMOq2jPw) [Experience Replay Explained | Papers With Code](https://paperswithcode.com/method/experience-replay) https://twitter.com/SOURADIPCHAKR18/status/1762959709508624424 "Recent #Google #Gemini controversies, creating historically inaccurate AI images, underscore the challenge of aligning AI with diverse human values. Our 'MaxMin-RLHF' paper asks a crucial ❓: 🔥 "Are all voices truly heard in AI alignment?" 🗣️👥 🚫The answer is a resounding NO!" [Rendering protein structures inside cells at the atomic level with Unreal Engine | bioRxiv](https://www.biorxiv.org/content/10.1101/2023.12.08.570879v1.full) https://twitter.com/manorlaboratory/status/1763094135639294366?t=ahJb-VOieUwHUW8HURgUeQ&s=19 Rendering protein structures inside cells at the atomic level with Unreal Engine Step closer to the Matrix [Symmetry | Free Full-Text | A Third Angular Momentum of Photons](https://www.mdpi.com/2073-8994/15/1/158) Write using phone autocorrect! I love how it mathematically works in physics then you think about this result of principle worldview memeplex software did some AI light teleporting you to new step by step in detail explaining each term in these equations mathematically relates to other regularization techniques to be overly obsessive hyperfocusing on everything also wanna look into that we can use AI to solve nuclear fusion and build transhumanist future of quantum field theory in deep learning symbolic selforganizing nonequlibrium chaotic dynamical systems in neuroscience and mechanistic interpretability where we are accelerating towards global flourishing growth wellbeing intelligence augmentation acceleration multiplicity of compatible process by for more singularity unfolding to be pretty universal love towards all beings thoughtout the universe resistant to total amount of time and beauty https://arxiv.org/abs/2301.05638 https://royalsocietypublishing.org/doi/10.1098/rsfs.2022.0029 https://arxiv.org/abs/2402.18041 1) začíná se experimentovat s alternativními/hybrid approaches co se vypadají že se začínají chytat 2) kolem toho je celá věda, jak získat kvalitní data, plus jsou synthetický data, selfplay, selfrewarding a jiný hacky co se začínají vymýšlet 3) tomu osobně dávám malou pravděpodobnost 😄 re scaling hypothesis: souhlasím tady s Demisem, adding search and planning on top of similar to current multimodal models https://fxtwitter.com/dwarkesh_sp/status/1762930886541250743 Fajn summary sceptics vs believers dialogů [Will scaling work? - by Dwarkesh Patel - Dwarkesh Podcast](https://www.dwarkeshpatel.com/p/will-scaling-work) https://fxtwitter.com/dwarkesh_sp/status/1739654775816462796 Tohle dle mě nepodložený není, a jasný, netechnologický i technologický incentivy jsou všude jak u believerů a skeptiků, ale tohle je určitá forma extrapolace dosavadních trendů, což dělají jak skeptici tak believers přes různý data. Např Gemini 1.5, AlphaGeometry, Sora, Genie, nový Midjourney nebo recent robotika vypadají dle mě jako fakt solidní recent unexpected jump v capabilities ve fundamental researchu, pak je milion projektů a produktů jako je např Perplexity, Concensus, Phind nebo Cursor sh co jsou boží recent užitečná nadstavba co používám denně. Ta extrapolace z obou stran může a nemusí být mylná, to se dozvíme až empiricky. Snažím se sledovat jak skeptiky, tak believery, nejvíc ideální je syntézovat co nejvíc oba tábory, já osobně jsem spíš pravděpodobnostma believer na tomhle spektru, tak ukazuju stranu od lidí co si myslí že platou je spíš nepravděpodobný jako devil's advocate. Např Gary Marcus o platou deep learningu kecá už roky a nějak mu to pořád furt nevychází :PepeLaugh~1:. Nebo podobný predikce Yann Lecuna years ago jsou zpětně taky hezky vyvrácený mi příjde, ale zase on používá dost odlišný definice mi příjde. Plus asi se budeme dost míjet na tom že oba dost jinak definujeme "skutečné ai". :kek: Gemini 1.5 Hodně lidí pointuje na ring attention https://arxiv.org/abs/2310.01889 [GitHub - lucidrains/ring-attention-pytorch: Implementation of 💍 Ring Attention, from Liu et al. at Berkeley AI, in Pytorch](https://github.com/lucidrains/ring-attention-pytorch?tab=readme-ov-file) [Transformer Neural Network: Visually Explained - YouTube](https://www.youtube.com/watch?v=96KqiPQlP4s) Universal basic income or universal basic services or something else will have to be pushed into existence or will more crazy darwinian battles for survival emerge? [Ephaptic Biases on Neural Self-Organization - YouTube](https://www.youtube.com/watch?v=pZPQetQ_w4g) Statistical physics of generative models https://twitter.com/LucaAmb/status/1763180414242308447?t=eJpLTpqeqMDoriEa6XYmdA&s=19 https://arxiv.org/abs/2402.18491 [Mathematical and theoretical biology - Wikipedia](https://en.wikipedia.org/wiki/Mathematical_and_theoretical_biology) mathematics gives the bets orgasms [Eliezer Yudkowsky - Why AI Will Kill Us, Aligning LLMs, Nature of Intelligence, SciFi, & Rationality - YouTube](https://www.youtube.com/watch?v=41SUp-TRVlg) [Causation in neuroscience: keeping mechanism meaningful | Nature Reviews Neuroscience](https://www.nature.com/articles/s41583-023-00778-7) Life itself is a thermodynamic holy war, spreading throughout the universe like an unquenchable fire. https://arxiv.org/abs/2402.18659 [Wolfram MathWorld: The Web's Most Extensive Mathematics Resource](https://mathworld.wolfram.com/) [Math Wiki | Fandom](https://math.fandom.com/wiki/Math_Wiki) [Než budete pokračovat do Vyhledávání Google](https://www.google.com/search?q=math+wiki&oq=math+wiki&gs_lcrp=EgZjaHJvbWUyBggAEEUYOTIICAEQABgWGB4yCAgCEAAYFhgeMggIAxAAGBYYHjIICAQQABgWGB4yCAgFEAAYFhgeMggIBhAAGBYYHjIICAcQABgWGB4yCAgIEAAYFhgeMggICRAAGBYYHjIICAoQABgWGB4yCAgLEAAYFhgeMggIDBAAGBYYHjIICA0QABgWGB4yCAgOEAAYFhge0gEIMjcwMGowajmoAgCwAgA&client=ms-android-xiaomi-rvo3&sourceid=chrome-mobile&ie=UTF-8&chrome_dse_attribution=1#ip=1) https://learn-anything.xyz/ [Shtetl-Optimized » Blog Archive » The 8000th Busy Beaver number eludes ZF set theory: new paper by Adam Yedidia and me](https://scottaaronson.blog/?p=2725) https://twitter.com/postquantum/status/1763565081554489414?t=nPZklGd5zb2-bdAQswvDHw&s=19 "Folks, something seems to be happening... We show that our theory of gravity is valid down to the shortest distances arxiv.org/abs/2402.17844. and that it can explain the expansion of the universe and galactic rotation without dark matter or dark energy arxiv.org/abs/2402.19459"