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A transformer's residual stream adds each layer's output to what came before, so the corpus-averaged Jacobian lens J = E[dh_final/dh_l] contains a copy of the identity by construction, and its share grows with depth as less transformation remains above the layer: at the deepest fitted layer of the six lenses read here...
Start learning / Mulai belajar Bahasa Indonesia — open the learning map · English — open the learning map This update corrects two further missed, already-complete English editions: B80 Mathematical Computing (161 pages, 14 units, 75 exercises with hints and full solutions) and D50 Differential Geometry (658 pages, all...
EL-RAKHAWI'S AUTONOMOUS STABILITY NODE: A QUANTUM-RESILIENT, PHYSICS-INFORMED EDGE COMPUTING ARCHITECTURE FOR MICROSECOND GRID STABILIZATION AND CYBER-PHYSICAL IMMUNITY
neXus is a horizontal fabric where heterogeneous software systems — servers, agents, edge devices, data centers, and even human-operated terminals — attach to a common peer-to-peer network through a single lightweight binary, nex. Every attached node speaks the same coordinate-addressed I/O interface, regardless of its...
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The Internet of Things has become one of the key technological foundations of smart manufacturing. By connecting industrial machines, sensors, controllers, production lines, and information systems, IoT enables continuous data collection, real-time monitoring, remote control, predictive maintenance, and data-driven dec...
Computes the edge weights that make averaging, gossip or a random walk converge as fast as possible on a given graph — the fastest-mixing Markov chain problem (Boyd, Diaconis & Xiao 2004) and its free-weight variant FDLA (Xiao & Boyd 2004). Returns a sparse weight matrix together with a rigorous bound on the distance f...
The study concludes that investing in network virtualization and edge cloud technology is highly viable, enabling telecommunication firms to minimize operational expenditures, optimize capital efficiency, and maximize Total Shareholder Return.
Holographic Informational Ontology Framework - The Field (HIOF•tF) A short, non-technical companion to the four-part HIOF-tF series. Written for readers with a background in physics, information theory, or philosophy of science - not readers already familiar with the author's wider framework. The core idea, stated plai...
Holographic Informational Ontology Framework - The Field (HIOF•tF) A short, non-technical companion to the four-part HIOF-tF series. Written for readers with a background in physics, information theory, or philosophy of science - not readers already familiar with the author's wider framework. The core idea, stated plai...
Holographic Informational Ontology Framework - The Field (HIOF•tF) A short, non-technical companion to the four-part HIOF-tF series. Written for readers with a background in physics, information theory, or philosophy of science - not readers already familiar with the author's wider framework. The core idea, stated plai...
WHY BINARY? Rethinking the Fundamental Architecture of Computation This paper explores a fundamental question about the architecture of modern computing: Is binary computation the only practical foundation for building intelligent machines, or can computation be reimagined around physical representations of information...
Host Sowbhagya Suresh shares some of the latest news and cutting-edge research from across Microsoft—from understanding the challenges facing coding agents to uncovering how people use AI at work and improving extended-range weather forecasting. The post Microsoft Research Focus – Edition #97 appeared first on Microsoft Research.
Professor Paris Smaragdis develops computers with superhuman hearing for applications like speech recognition, music understanding, and environmental monitoring.
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For decades, a fundamental question about the difficulty of computing in high-dimensional spaces has resisted proof. New research resolves this question, removing a major theoretical obstacle to understanding the efficiency of randomized algorithms used across science and computing. The Kannan–Lovász–Simonovits (KLS) conjecture was proposed in 1995. It asks whether, for a broad class of high-dimensional […] The post Solving a 31-year-old grand challenge in mathematics – the KLS conjecture appear…
A new computational approach reveals how cells communicate to assemble into tissues. This could accelerate stem cell engineering, improve disease models, and inform therapies.
Zero-knowledge proofs can verify computing results without rerunning workloads or exposing sensitive data. Magnetar helps bring them into the mainstream with support for standard programming languages, major speed gains, and quantum-resistant security. The post Proof-based general-purpose computing with Magnetar appeared first on Microsoft Research.
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