Kempelen Institute of Intelligent Technologies’ Post

🌟 Exciting News from the World of Physics! 🌟 This year’s Nobel Prize in Physics has been awarded to John Hopfield and Geoffrey Hinton for their groundbreaking contributions that laid the foundation for modern machine learning. - John Hopfield developed the Hopfield network, a model that enables the storage and reconstruction of patterns, akin to human associative memory. This network can recognize incomplete or noisy data, making it a powerful tool for data analysis. - Geoffrey Hinton introduced the Boltzmann machine, which learns from examples rather than explicit instructions. By leveraging principles from statistical physics, this model identifies patterns and probabilities within datasets. 🧠 Machine Learning vs. Traditional Software: While traditional software processes data through predetermined steps, machine learning allows computers to learn from examples, tackling complex problems like image recognition and language translation. 🔬 Impact on Physics and Beyond: The methods pioneered by Hopfield and Hinton are revolutionizing fields such as physics, aiding in the analysis of vast datasets for discoveries like the Higgs particle and gravitational waves. Their work is also paving the way for advancements in molecular predictions and material efficiency. 🌐 Looking Ahead: As we continue to harness the power of machine learning, ethical considerations will be paramount. Responsible use of these technologies is crucial for their sustainable development. Congratulations to this year’s laureates for their monumental contributions! 🎉 #NobelPrize #Physics #MachineLearning #ArtificialIntelligence #Innovation #DataScience

✨ Thrilled to Announce My Latest Publication! ✨ I'm delighted to share that my article, "On Study of Multiset Dimension in Fuzzy Zero Divisor Graphs Associated with Commutative Rings," has been published in the International Journal of Computational Intelligence Systems—a highly reputable Q2 journal in the W category. 🌟 This research delves into advanced mathematical concepts and their intersection with fuzzy graph theory, aiming to bridge gaps in understanding multiset dimensions within algebraic structures. The work represents a significant step forward in computational intelligence and its mathematical underpinnings. A big thank you to my co-authors, mentors, and colleagues for their support and encouragement throughout this journey. 🙏 🔗 Access the publication here: [Insert Link if available] 📌 Keywords: #MultisetDimension #FuzzyGraphs #ZeroDivisorGraphs #CommutativeRings #Mathematics #GraphTheory #ComputationalIntelligence #Research #Innovation 🚀 Let's continue pushing boundaries in mathematics and computational sciences! Feel free to connect if you'd like to discuss or collaborate on similar topics.

This year’s #Nobel Prizes in #Physics and #Chemistry are sending a strong signal: Artificial Intelligence (AI) has moved from being an emerging tool to a driving force behind groundbreaking scientific inventions. The award-winning work by John Hopfield, Geoffrey Hinton, Demis Hassabis, David Baker and John Jumper highlights how AI is transforming diverse fields such as physics, biology, and chemistry. **The 2024 Physics laureates used tools from physics to construct methods that helped lay the foundation for today’s powerful machine learning. John Hopfield created a structure that can store and recreate information. Geoffrey Hinton invented a method that can autonomously find properties in data. **This year’s Chemistry prize acknowledges how AI solved one of biology’s toughest mysteries: figuring out the shapes of proteins. Winners in this area are Demis Hassabis and John M. Jumper for protein structure prediction and David Baker for computational protein design.

With less than 1% of the world's population, France represents 20% of the Abel Prize laureates, and 22% of the Fields Medals winners. Three things: 1️⃣ Congrats to Michel Talagrand, who just became the 5th French mathematician to be awarded the Abel Prize (#Joltians love complex stats, particularly Jean Schmitt who launched his first startup in that field 35 years ago...) 2️⃣ Maths, even in its most theoretical form, is at the heart of many deeptech applications (from AI to cybersecurity, from robotics to space systems). 3️⃣ In a tech-infused society, math teaching should top the list of education policies (check the correlation between PISA results and international innovation rankings). #maths #prize #abel #abelprize #mathematics #appliedmaths #innovation #deeptech #education #privateequity #growthequity #scientific #stem #medal CNRS Institut Henri Poincaré Cédric Villani Sylvie Retailleau Nicole Belloubet

Visualizing 65,000 ArXiv Papers: A Deep Dive into Research Similarities 📊 Using NeuralWork's recently released dataset of ArXiv papers from January-October 2023, I created this visualization to map the relationship between research papers across different disciplines. The plot represents paper similarities using a custom-trained version of e5_large_v2, with each point representing a paper and colors denoting research categories. What's fascinating is how certain fields cluster together, while others show interesting overlaps in their research approaches. I'm especially intrigued by economics which seem to cluster at opposite ends of the dimensions showing they probably cross over with seperate disciplines at some point! The x and y axes measure research similarity across two dimensions, revealing natural groupings and interdisciplinary connections between Computer Science, Mathematics, Physics, Economics, and other fields. Interactive version: https://lnkd.in/eJG_u-wJ #MachineLearning #ResearchVisualization #DataScience link to dataset: https://lnkd.in/ecy8rKmN

When we think about the history of mathematics, certain breakthroughs stand out for their lasting impact on the world. One of these is John Napier’s invention of logarithms in the early 17th century. Napier’s work completely revolutionized the way complex calculations were performed, and his contribution still resonates in the way we approach math today. Before logarithms, mathematicians and scientists had to rely on tedious methods for multiplying large numbers, calculating powers, or dividing values—tasks that were incredibly time-consuming. Napier's logarithms changed that by allowing multiplication and division to be simplified into addition and subtraction. In other words, he made it possible to perform advanced calculations faster and with more accuracy than ever before. This was a huge step forward, not just for mathematicians, but for anyone dealing with scientific or engineering problems. Imagine you’re an astronomer in the 1600s, mapping the stars and planets. Before Napier, calculating the positions of celestial bodies required hours of manual work. But with logarithms, suddenly those same calculations could be done in a fraction of the time. It was a breakthrough that enabled discoveries in astronomy, physics, and navigation, pushing the boundaries of what was possible. Napier’s invention didn’t just improve calculations—it also inspired the development of new tools, like the slide rule, which became a staple for engineers and scientists until the invention of the modern calculator. The slide rule allowed for quick, precise calculations and became an essential part of scientific progress for hundreds of years. In my curriculum, "Counting to Calculus," I emphasize the importance of seeing mathematics not just as a set of abstract rules, but as a practical tool that has been transforming science and technology for centuries. Whether we’re launching rockets, designing buildings, or studying quantum physics, the foundations laid by innovators like John Napier continue to shape the way we think about and interact with the world. Logarithms may seem like a niche concept, but their influence is all around us. They remind us that mathematical innovations aren’t just academic—they have real-world applications that make a difference in how we understand and shape our world. So next time you encounter a logarithm, remember that you’re using a tool that transformed the way we solve problems and laid the groundwork for modern science. Let’s continue to explore how math can unlock new possibilities for the future, just as Napier did centuries ago. Best, Amos Tarfa

🔍 Exploring New Frontiers in Mathematical Physics! 📐 A groundbreaking paper titled "Solving the Poisson Yang-Baxter Equation via Deformation-to-Quasiclassical-Limits" by Siyuan Chen, Chengming Bai, and Li Guo has recently been published, shedding light on the intricate relationships between Poisson algebras and Yang-Baxter equations. ### Key Highlights: - The authors elevate the construction of Poisson algebras as quasiclassical limits (QCLs) of associative algebra deformations to address solutions for the Poisson Yang-Baxter Equation (PYBE). - By employing scalar deformations of solutions from associative Yang-Baxter equations (AYBE), they derive explicit solutions for PYBE in Poisson algebras. - The paper introduces innovative concepts such as scalar deformations of O-operators and their implications in various algebraic structures. ### Why This Matters: This research not only deepens our understanding of mathematical structures but also has potential applications across theoretical physics, particularly in quantum mechanics and integrable systems. ### Structure Overview: 1. Introduction to Deformation Theory: Laying foundational concepts. 2. Bimodule Algebra Deformations: A detailed examination leading to QCLs. 3. Tridendriform Algebra Connections: Insights into how these structures relate to PYBE solutions. This work is a significant contribution to both mathematics and physics communities, paving new pathways for future research! 👉 Dive into this fascinating study that bridges abstract mathematics with practical applications! 📚✨ #AI #Algorithms #ArtificialIntelligence #DL #DS #DataScience #DeepLearning #DeformationTheory #ML #MachineLearning #Mathematics #Physics #PoissonAlgebra #Research #Tech #Technology #YangBaxterEquation Source: https://lnkd.in/e2HKtK2C

I am deeply honored to be a part of the European Mathematical Society , Finland, an organization that celebrates the elegance and transformative power of mathematics in shaping our world. This membership provides an invaluable platform for exchanging innovative ideas, collaborating with exceptional minds, and contributing to groundbreaking mathematical research that transcends borders and disciplines. Being part of this vibrant community inspires me to push the boundaries of knowledge and explore the limitless possibilities that mathematics offers. #ems #europeanmathematicalsociety #mathematics #indianmathematics #maths

🎉 Exciting News! 🎉 I am thrilled to share that I have successfully passed my Thesis Proposal meeting for my PhD in Applied Mathematics & Computational Science at the University of Pennsylvania! This milestone marks a significant step forward in my academic journey and career as a PhD candidate. My thesis, titled "Innovations in Deep Learning for Surrogate Modeling and Uncertainty Quantification in Science & Engineering" will focus on leveraging deep learning techniques to develop efficient surrogate models for complex physical processes. This research aims to enhance the accuracy, reliability, and computational efficiency of scientific simulations, with potential applications spanning areas from climate modeling to precision medicine and mechanical engineering. I am incredibly grateful to my advisor, Paris Perdikaris, and my committee members, Nat Trask and Jacob Gardner, for their insightful feedback throughout this process. I am excited to continue this journey and contribute to the field of AI4Science. Here’s to the next chapter of my PhD! #PhD #ThesisProposal #AI4Science #DeepLearning #ComputationalScience #SciML PS: if you'd like to see what I've been up to, please check out my Google Scholar! https://lnkd.in/dSTTVH4S

📢 We’re thrilled to share! 🎉 The Department of Mathematics at Excel Engineering College (Autonomous) has successfully hosted the International Conference on Transcendent Mathematics: Integrating Varied Approaches. 🌐📊 This landmark event, held on 24.05.24, was a melting pot of ideas, where scholars, researchers, and students from around the world convened to push the boundaries of mathematical sciences. 🎓💡 Our goal was clear: to transcend the conventional, to weave together diverse mathematical strands into a rich tapestry that speaks to the unity and versatility of our discipline. 🧮➕ The conference not only showcased the latest in mathematical research but also underscored the pivotal role mathematics plays across various sectors. 🏗️🔬 We’re proud to have created a space where collaboration and innovation thrive, where every theorem and equation paves the way for new discoveries and advancements. 🚀🌟 Thank you to all the participants for making this event a resounding success! 🙏 Let’s continue to explore the infinite possibilities mathematics has to offer. 🔍∞ #InternationalConference #Mathematics #Research #Innovation #Collaboration