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Related papers: The Geometry of Forgetting

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Language Models (LMs) are prone to memorizing parts of their data during training and unintentionally emitting them at generation time, raising concerns about privacy leakage and disclosure of intellectual property. While previous research…

Computation and Language · Computer Science 2025-06-12 Stefan Arnold

Making neural networks remember over the long term has been a longstanding issue. Although several external memory techniques have been introduced, most focus on retaining recent information in the short term. Regardless of its importance,…

Machine Learning · Computer Science 2024-07-19 Sangjun Park , JinYeong Bak

The memory of contemporary Large Language Models is bound by a physical paradox: as they learn, they fill up. The linear accumulation (O(N)) of Key-Value states treats context as a warehouse of static artifacts, eventually forcing a…

Neural and Evolutionary Computing · Computer Science 2025-12-24 Tarik Houichime , Abdelghani Souhar , Younes El Amrani

How do different brains create unique visual experiences from identical sensory input? While neural representations vary across individuals, the fundamental architecture underlying these differences remains poorly understood. Here, we…

Neurons and Cognition · Quantitative Biology 2026-02-05 Chihye Han , Michael F. Bonner

A persistent paradox in continual learning (CL) is that neural networks often retain linearly separable representations of past tasks even when their output predictions fail. We formalize this distinction as the gap between deep…

Machine Learning · Computer Science 2026-03-20 Giulia Lanzillotta , Damiano Meier , Thomas Hofmann

Continual learning systems operating in fixed-dimensional spaces face a fundamental geometric barrier: the flat manifold problem. When experience is represented as a linear trajectory in Euclidean space, the geodesic distance between…

Machine Learning · Computer Science 2025-12-23 Xin Li

Memory effects can lead to history-dependent behavior of a system, and they are ubiquitous in our daily life and have broad applications. Here we explore possibilities of generating memory effects in simple isolated quantum systems. By…

Quantum Gases · Physics 2016-03-04 Chen-Yen Lai , Chih-Chun Chien

Neuroscientists postulate 3D representations in the brain in a variety of different coordinate frames (e.g. 'head-centred', 'hand-centred' and 'world-based'). Recent advances in reinforcement learning demonstrate a quite different approach…

Neurons and Cognition · Quantitative Biology 2020-07-10 Alex Muryy , N. Siddharth , Nantas Nardelli , Philip H. S. Torr , Andrew Glennerster

Quantum memory effects are essential in understanding and controlling open quantum systems, yet distinguishing them from classical memory remains challenging. We introduce a convex geometric framework to analyze quantum memory propagating…

Quantum Physics · Physics 2025-04-14 Mei Yu , Ties-A. Ohst , Hai-Chau Nguyen , Stefan Nimmrichter

Liquids equilibrated below an onset density share similar inherent states, while above that density their inherent states markedly differ. Although this phenomenon was first reported in simulations over 20 years ago, the physical origin of…

Statistical Mechanics · Physics 2021-03-03 Patrick Charbonneau , Peter Morse

Transformers often appear to perform Bayesian reasoning in context, but verifying this rigorously has been impossible: natural data lack analytic posteriors, and large models conflate reasoning with memorization. We address this by…

Machine Learning · Computer Science 2026-05-19 Naman Agarwal , Siddhartha R. Dalal , Vishal Misra

Memory is often defined as the mental capacity of retaining information about facts, events, procedures and more generally about any type of previous experience. Memories are remembered as long as they influence our thoughts, feelings, and…

Neurons and Cognition · Quantitative Biology 2017-06-16 Stefano Fusi

Current LLM agents lack principled mechanisms for managing persistent memory across long interaction horizons. We present a biologically-grounded memory architecture comprising six cognitive mechanisms: (1) sleep-phase consolidation, (2)…

Artificial Intelligence · Computer Science 2026-05-12 Doga Kerestecioglu , Alexei Robsky , Clemens Vasters , Anshul Sharma , Yitzhak Kesselman

Memory is fundamental to intelligence, enabling learning, reasoning, and adaptability across biological and artificial systems. While Transformer architectures excel at sequence modeling, they face critical limitations in long-range context…

Machine Learning · Computer Science 2025-08-19 Parsa Omidi , Xingshuai Huang , Axel Laborieux , Bahareh Nikpour , Tianyu Shi , Armaghan Eshaghi

Machine learning models exhibit two seemingly contradictory phenomena: training data memorization, and various forms of forgetting. In memorization, models overfit specific training examples and become susceptible to privacy attacks. In…

We isolate a geometric mechanism that complements the dynamical suppression of macroscopic interference: In a high-dimensional Hilbert space, almost all state vectors are nearly orthogonal, accommodating an exponentially large reservoir of…

Quantum Physics · Physics 2026-05-06 Karl Svozil

How do transformer language models memorize factual associations? A common view casts internal weight matrices as associative memories over pairs of embeddings, requiring parameter counts that scale linearly with the number of facts. We…

Computation and Language · Computer Science 2026-05-13 Shauli Ravfogel , Gilad Yehudai , Joan Bruna , Alberto Bietti

Natural memories are associative, declarative and distributed. Symbolic computing memories resemble natural memories in their declarative character, and information can be stored and recovered explicitly; however, they lack the associative…

Artificial Intelligence · Computer Science 2020-09-29 Luis A. Pineda , Gibrán Fuentes , Rafael Morales

Most of mathematic forgetting curve models fit well with the forgetting data under the learning condition of one time rather than repeated. In the paper, a convolution model of forgetting curve is proposed to simulate the memory process…

Neurons and Cognition · Quantitative Biology 2019-01-25 Yanlu Xie , Yue Chen , Man Li

Biological memory solves a problem that eludes current AI: storing specific episodic facts without corrupting general semantic knowledge. Complementary Learning Systems theory explains this through two subsystems - a fast hippocampal system…

Neurons and Cognition · Quantitative Biology 2026-02-05 Oliver Zahn , Matt Beton , Simran Chana