Logic Nest

April 2026

Understanding Phase Transition During Grokking

Introduction to Grokking The term “grokking” originates from the science fiction novel “Stranger in a Strange Land” written by Robert A. Heinlein in 1961. In the novel, grokking is described as a deep, intuitive understanding of something, transcending mere intellectual comprehension. This profound level of understanding and insight resonates well within various fields, particularly cognitive […]

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Accelerating Grokking Through Curriculum Learning

Introduction to Grokking The term “grokking” originates from Robert A. Heinlein’s science fiction novel, “Stranger in a Strange Land,” where it denotes a profound understanding or deep comprehension of a subject. In the realms of machine learning and cognitive processes, grokking extends this concept, symbolizing not just knowledge acquisition, but the ability to embody that

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Understanding the Need for Multiple Epochs in Grokking Algorithmic Data

Introduction to Grokking and Epochs In the realm of machine learning, the term ‘grokking’ denotes a profound comprehension or grasp of data patterns and underlying structures. It extends beyond mere analysis, embodying an intuitive understanding of the intricacies of data behavior. Grokking becomes particularly significant when dealing with complex datasets, where conventional methods may falter

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Why Do Wide Networks Show Weaker Double Descent?

Introduction to Double Descent In the field of machine learning, the concept of double descent has garnered significant attention due to its implications for model performance as complexity increases. Traditional views on model behavior typically revolved around the bias-variance tradeoff, a framework that delineates how increasing model capacity can lead to reduced bias but heightened

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Can NTK Theory Predict Double Descent in Transformers?

Introduction to NTK Theory The Neural Tangent Kernel (NTK) theory has emerged as a significant concept in understanding the behavior of neural networks during the training process. At its core, NTK theory provides a framework to analyze how changes in the parameters of a neural network affect its output, particularly in the context of gradient

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Understanding Late Double Descent Through Feature Learning

Introduction to Feature Learning and Double Descent Feature learning is a critical component of machine learning that involves the automatic extraction of features from raw data, which aids in enhancing the predictive performance of models. This process efficiently identifies the underlying patterns and structures within complex datasets, facilitating the development of more sophisticated machine learning

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Understanding the Drop in Test Error After the Interpolation Point

Introduction to Interpolation in Machine Learning Interpolation is a fundamental concept in machine learning that pertains to estimating unknown values between known data points. It involves creating a function that passes through or approximates various data points, thereby enabling predictions within the range of the dataset. Unlike interpolation, extrapolation refers to the estimation of values

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Understanding the Drop in Test Error After the Interpolation Point

Introduction to Interpolation in Machine Learning Interpolation, within the scope of machine learning, refers to the method of estimating unknown values that fall within the range of a discrete set of known data points. In simpler terms, it involves constructing new data points from a defined set of observations, thereby allowing models to fit these

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Understanding Double Descent in Modern Overparameterized Networks

Introduction to Double Descent Double descent is a significant phenomenon observed in modern machine learning, particularly in the context of overparameterized networks. Traditionally, the bias-variance tradeoff has been the cornerstone principle that guided the understanding of model performance regarding training and generalization. According to this framework, increasing model complexity typically leads to higher variance and

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Navigating Loss Geometry with SAM Optimizer

Introduction to SAM Optimizer The SAM (Sharpness-Aware Minimization) optimizer has emerged as a pivotal tool in enhancing the performance of machine learning models, particularly those requiring robust training mechanisms. Its primary purpose is to address the challenges of loss minimization by not only focusing on the immediate loss values but also by considering the geometric

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