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Uniqueness and independence are two fundamental properties of data. Their enforcement in database systems can lead to higher quality data, faster data service response time, better data-driven decision making and knowledge discovery from…

Databases · Computer Science 2014-04-18 Miika Hannula , Juha Kontinen , Sebastian Link

We study the effect of observing a stationary process at irregular time points via a renewal process. We establish a sharp difference in the asymptotic behaviour of the self-normalized sample mean of the observed process depending on the…

Statistics Theory · Mathematics 2024-11-04 Mohamedou Ould-Haye , Anne Philippe

We analyze data from simulations of 2D and 3D glass-forming liquids using a correlation function defined in terms of a memory function with a negative inverse power-law tail. The self-intermediate function and the autocorrelation functions…

Disordered Systems and Neural Networks · Physics 2009-04-17 Nicholas P. Bailey

A stochastic model of short-term verbal memory is proposed, in which the psychological state of the subject is encoded as the instantaneous position of a particle diffusing over a semantic graph with a probabilistic structure. The model is…

Neurons and Cognition · Quantitative Biology 2017-03-22 Francesco Fumarola

Self-similarity may originate from two origins, i.e., the process memory and the process' increments ``infinite'' variance. A distinction is attempted by employing the natural time \chi. Concerning the first origin, we analyze recent data…

Statistical Mechanics · Physics 2007-05-23 P. Varotsos , N. Sarlis , E. Skordas , H. Tanaka , M. Lazaridou

The statistical properties of the increments x(t+T) - x(t) of a financial time series depend on the time resolution T on which the increments are considered. A non-parametric approach is used to study the scale dependence of the empirical…

Statistical Mechanics · Physics 2008-12-02 Rama Cont

Experiments suggest that people fail to take into account interdependencies between their choices -- they do not broadly bracket. Researchers often instead assume that people narrowly bracket, but existing designs do not test it. We design…

Theoretical Economics · Economics 2024-03-12 Andrew Ellis , David J. Freeman

In agent memory systems, the reranking model serves as the critical bridge connecting user queries with long-term memory. Most systems adopt the "retrieve-then-rerank" two-stage paradigm, but generic reranking models rely on semantic…

Computation and Language · Computer Science 2026-05-15 Chunyu Li , Mengyuan Zhang , Jingyi Kang , Ding Chen , Jiajun Shen , Bo Tang , Xuanhe Zhou , Feiyu Xiong , Zhiyu Li

A system with many degrees of freedom can be characterized by a covariance matrix; principal components analysis (PCA) focuses on the eigenvalues of this matrix, hoping to find a lower dimensional description. But when the spectrum is…

Biological Physics · Physics 2017-04-26 Serena Bradde , William Bialek

The idea that research investments respond to market rewards is well established in the literature on markets for innovation (Schmookler, 1966; Acemoglu and Linn, 2004; Bryan and Williams, 2021). Empirical evidence tells us that a change in…

General Economics · Economics 2021-12-01 Federico Nutarelli , Massimo Riccaboni , Andrea Morescalchi

Random walks with memory typically involve rules where a preference for either revisiting or avoiding those sites visited in the past are introduced somehow. Such effects have a direct consequence on the statistics of first-passage and…

Statistical Mechanics · Physics 2019-07-03 Daniel Campos , Vicenç Méndez

Training data leakage from Large Language Models (LLMs) raises serious concerns related to privacy, security, and copyright compliance. A central challenge in assessing this risk is distinguishing genuine memorization of training data from…

Machine Learning · Computer Science 2026-02-24 Trishita Tiwari , Ari Trachtenberg , G. Edward Suh

Studies in recent years have demonstrated that neural organization and structure impact an individual's ability to perform a given task. Specifically, individuals with greater neural efficiency have been shown to outperform those with less…

Sequence models face a fundamental tradeoff between memory capacity and computational efficiency. Transformers achieve expressive context modeling at quadratic cost, while linear attention and state-space models run in linear time by…

Machine Learning · Computer Science 2026-05-11 Yaxita Amin , Helen Zichen Li , Mengfan Zhang , Samet Ayhan

Despite the advantageous subquadratic complexity of modern recurrent deep learning models -- such as state-space models (SSMs) -- recent studies have highlighted their potential shortcomings compared to transformers on reasoning and…

Machine Learning · Computer Science 2025-10-13 Destiny Okpekpe , Antonio Orvieto

We present an inequality that bounds the short-term memory capability of dynamical systems from below. It can be interpreted as an uncertainty relation between a measure of short-term memory and that of the size of state fluctuations…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Taichi Haruna , Kohei Nakajima

As Large Reasoning Models (LRMs) are increasingly deployed, auditing their chain-of-thought (CoT) traces for safety becomes critical. Recent work has reported that monitorability--the degree to which CoT faithfully and informatively…

Artificial Intelligence · Computer Science 2026-02-05 Zidi Xiong , Shan Chen , Himabindu Lakkaraju

We investigate in-context temporal biases in attention heads and transformer outputs. Using cognitive science methodologies, we analyze attention scores and outputs of the GPT-2 models of varying sizes. Across attention heads, we observe…

Machine Learning · Computer Science 2025-02-12 Deven Mahesh Mistry , Anooshka Bajaj , Yash Aggarwal , Sahaj Singh Maini , Zoran Tiganj

The per-token cost of transformer inference scales with context length, preventing its application to lifelong in-context learning. Linear attention is an efficient alternative that maintains a constant memory footprint, even on infinite…

Computation and Language · Computer Science 2025-10-01 Luke McDermott , Robert W. Heath , Rahul Parhi

Observations of the CMB today allow us to answer detailed questions about the properties of our Universe, targeting both standard and non-standard physics. In this paper, we study the effects of varying fundamental constants (i.e., the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-12 Luke Hart , Jens Chluba