Clark Packard Last week, Disney+ released a restored version of The Beatles Anthology, the landmark 1995 ABC eight-part documentary series that remains the closest thing to a definitive account of the band’s extraordinary journey. I binge-watched the updated Anthology over the Thanksgiving holiday weekend, which brought back memories of watching the original with my parents 30 years ago. Now I’m the parent, though my wife and four-year-old son were less enthusiastic about the marathon viewing sessions. Last year, I […]

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Dimensionality reduction techniques like PCA work wonderfully when datasets are linearly separable—but they break down the moment nonlinear patterns appear. That’s exactly what happens with datasets such as two moons: PCA flattens the structure and mixes the classes together.  Kernel PCA fixes this limitation by mapping the data into a higher-dimensional feature space where nonlinear patterns become linearly separable. In this article, we’ll walk through how Kernel PCA works and use a simple example to visually compare PCA […]

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EFF and the ACLU of Northern California Sue on Behalf of Local Nonprofits Contact: Josh Richman, EFF, jrichman@eff.org;  Carmen King, ACLU of Northern California, cking@aclunc.org SAN JOSE, Calif. – San Jose and its police department routinely violate the California Constitution by conducting warrantless searches of the stored records of millions of drivers’ private habits, movements, and associations, the Electronic Frontier Foundation (EFF) and American Civil Liberties Union of Northern California (ACLU-NC) argue in a lawsuit filed Tuesday.  The […]

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Home Table of Contents KV Cache Optimization via Tensor Product Attention Challenges with Grouped Query and Multi-Head Latent Attention Multi-Head Attention (MHA) Grouped Query Attention (GQA) Multi-Head Latent Attention (MLA) Tensor Product Attention (TPA) TPA: Tensor Decomposition of Q, K, V Latent Factor Maps and Efficient Implementation Attention Computation and RoPE Integration KV Caching and Memory Reduction with TPA PyTorch Implementation of Tensor Product Attention (TPA) Tensor Product Attention with KV Caching Transformer Block Inferencing Code Experimentation Summary […]

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Chris Edwards The recent government shutdown disrupted U.S. air traffic control (ATC) and frustrated millions of passengers, leading to delays and cancellations. Our ATC system is a bureaucracy within the Federal Aviation Administration (FAA), so it gets caught in the crossfire when the politicians can’t agree on annual budget bills. , Budget squabbles have repeatedly caused ATC disruptions over the years, and airline passengers can expect more trouble ahead as spending battles intensify amid soaring federal deficits. The […]

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Perhaps the largest barrier to housing availability and affordability in places like California are permitting rules, land use restrictions, and construction codes that make it absurdly expensive, or even outright impossible, to construct new single or multi-family housing.  Part of this is a conspiracy of current homeowners to protect and increase the value of their property — after all, new home construction inevitably reduces their property value (or future escalation) by adding competing inventory and/or by creating congestion […]

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