Driven by the right to be forgotten (RTBF), machine unlearning has become an essential requirement for privacy-preserving machine learning. However, its realization in decentralized federated learning (DFL) remains largely unexplored. In DFL, clients exchange local updates only with neighbors, causing model information to propagate and mix across the network. As a result, when a client requests data deletion, its influence is implicitly embedded throughout the system, making removal difficult without centralized coordination. We propose a novel certified unlearning […]

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arXiv:2602.12349v1 Announce Type: new Abstract: Green’s functions characterize the fundamental solutions of partial differential equations; they are essential for tasks ranging from shape analysis to physical simulation, yet they remain computationally prohibitive to evaluate on arbitrary geometric discretizations. We present Variational Green’s Function (VGF), a method that learns a smooth, differentiable representation of the Green’s function for linear self-adjoint PDE operators, including the Poisson, the screened Poisson, and the biharmonic equations. To resolve the sharp singularities characteristic of […]

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:::info Astounding Stories of Super-Science October, 1994, by Astounding Stories is part of HackerNoon’s Book Blog Post series. You can jump to any chapter in this book here. The Picture of Dorian Gray – Chapter IX Astounding Stories of Super-Science October 1994: The Picture of Dorian Gray – Chapter IX By Oscar Wilde ::: As he was sitting at breakfast next morning, Basil Hallward was shown into the room. “I am so glad I have found you, Dorian,” he […]

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arXiv:2506.15492v2 Announce Type: replace-cross Abstract: Some of the simplest, yet most frequently used predictors in statistics and machine learning use weighted linear combinations of features. Such linear predictors can model non-linear relationships between features by adding interaction terms corresponding to the products of all pairs of features. We consider the problem of accurately estimating coefficients for interaction terms in linear predictors. We hypothesize that the coefficients for different interaction terms have an approximate low-dimensional structure and represent each […]

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arXiv:2601.09041v1 Announce Type: new Abstract: Large language models generate judgments that resemble those of humans. Yet the extent to which these models align with human judgments in interpreting figurative and socially grounded language remains uncertain. To investigate this, human participants and four instruction-tuned LLMs of different sizes (GPT-4, Gemma-2-9B, Llama-3.2, and Mistral-7B) rated 240 dialogue-based sentences representing six linguistic traits: conventionality, sarcasm, funny, emotional, idiomacy, and slang. Each of the 240 sentences was paired with 40 interpretive questions, […]

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Despite the state-of-the-art performance of large language models (LLMs) across diverse tasks, their susceptibility to adversarial attacks and unsafe content generation remains a major obstacle to deployment, particularly in high-stakes settings. Addressing this challenge requires safety mechanisms that are both practically effective and supported by rigorous theory. We introduce BarrierSteer, a novel framework that formalizes response safety by embedding learned non-linear safety constraints directly into the model’s latent representation space. BarrierSteer employs a steering mechanism based on Control […]

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I’m a graduate student working in machine learning and dynamical systems, and I’m trying to build a solid foundation (and bookshelf!) for deeper study and research. I’d love to hear what books people here consider essential or transformative when it comes to understanding both the theoretical and applied sides of ML. I’m especially interested in recommendations that cover topics like: Neural ODEs/PDEs/SDEs Physics-Informed Neural Networks (PINNs) Dynamical systems modeling and simulations with ML Applied mathematics approaches to deep […]

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