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An informative measurement is the most efficient way to gain information about an unknown state. We present a first-principles derivation of a general-purpose dynamic programming algorithm that returns an optimal sequence of informative…

Machine Learning · Computer Science 2023-02-01 Peter N. Loxley , Ka-Wai Cheung

The length-scale dependence of the dynamic entropy is studied in a molecular dynamics simulation of a binary Lennard-Jones liquid above the mode-coupling critical temperature $T_c$. A number of methods exist for estimating the entropy of…

Soft Condensed Matter · Physics 2009-10-31 Paolo Allegrini , Jack F. Douglas , Sharon C. Glotzer

Discrete speech representation learning has recently attracted increasing interest in both acoustic and semantic modeling. Existing approaches typically encode 16 kHz waveforms into discrete tokens at a rate of 25 or 50 tokens per second.…

Computation and Language · Computer Science 2025-09-03 Jialong Zuo , Guangyan Zhang , Minghui Fang , Shengpeng Ji , Xiaoqi Jiao , Jingyu Li , Yiwen Guo , Zhou Zhao

We study the dynamics of a particle in continuous time and space, the displacement of which is governed by an internal degree of freedom (spin). In one definite limit, the so-called quantum random walk is recovered but, although quite…

Quantum Physics · Physics 2009-11-10 Claude Aslangul

Spatial signal processors (SSP) for emerging millimeter-wave wireless networks are critically dependent on link discovery. To avoid loss in communication, mobile devices need to locate narrow directional beams with millisecond latency. In…

Signal Processing · Electrical Eng. & Systems 2021-06-03 Chung-Ching Lin , Chase Puglisi , Veljko Boljanovic , Soumen Mohapatra , Han Yan , Erfan Ghaderi , Deukhyoun Heo , Danijela Cabric , Subhanshu Gupta

Diffusion Transformers (DiTs) achieve state-of-the-art video generation quality, but their substantial memory and computational footprints hinder edge deployment. Quantization can reduce these costs, yet existing methods often degrade video…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Wonsuk Jang , Thierry Tambe

We consider a response system that updates its internal state in accordance with information input arriving from outside. In this paper, we define as internal time the ``number of kinds'' of codes that have been observed at least once up to…

Computational Physics · Physics 2026-01-13 Tatsuaki Tsuruyama

In the realm of semantic communication, the significance of encoded features can vary, while wireless channels are known to exhibit fluctuations across multiple subchannels in different domains. Consequently, critical features may traverse…

Signal Processing · Electrical Eng. & Systems 2024-01-29 Kequan Zhou , Guangyi Zhang , Yunlong Cai , Qiyu Hu , Guanding Yu , A. Lee Swindlehurst

Sentence and word embeddings encode structural and semantic information in a distributed manner. Part of the information encoded -- particularly lexical information -- can be seen as continuous, whereas other -- like structural information…

Computation and Language · Computer Science 2023-12-19 Vivi Nastase , Paola Merlo

This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the initial state and the parameters on system operating…

Dynamical Systems · Mathematics 2017-02-09 Nan Duan , Kai Sun

Spectral densities encode the relevant information characterising the system-environment interaction in an open-quantum system problem. Such information is key to determining the system's dynamics. In this work, we leverage the potential of…

Quantum Physics · Physics 2024-03-13 Jessica Barr , Giorgio Zicari , Alessandro Ferraro , Mauro Paternostro

One form of big data are signals - time series of consecutive values. In physical experiments, billions of values can now be measured within a second. Signals of heart and brain in intensive care, as well as seismic waves, are measured with…

Methodology · Statistics 2014-12-24 Christoph Bandt

Deep learning based image compressed sensing (CS) has achieved great success. However, existing CS systems mainly adopt a fixed measurement matrix to images, ignoring the fact the optimal measurement numbers and bases are different for…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Bowen Zhang , Zhijin Qin , Geoffrey Ye Li

The number of neurons that can be simultaneously recorded doubles every seven years. This ever increasing number of recorded neurons opens up the possibility to address new questions and extract higher dimensional stimuli from the…

Neurons and Cognition · Quantitative Biology 2018-04-27 Anna Kutschireiter , Jean-Pascal Pfister

The energy-level structure of a quantum system plays a fundamental role in determining its behavior and manifests itself in a discrete absorption and emission spectrum. Conventionally, spectra are probed via frequency spectroscopy whereby…

It is not obvious how to extend Shannon's original information entropy to higher dimensions, and many different approaches have been tried. We replace the English text symbol sequence originally used to illustrate the theory by a discrete,…

Information Theory · Computer Science 2016-09-06 Kieran G. Larkin

A new interpretation of entanglement entropy is proposed: entanglement entropy of a pure state with respect to a division of a Hilbert space into two subspaces 1 and 2 is an amount of information, which can be transmitted through 1 and 2…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Shinji Mukohyama

We propose and validate a novel optical semantic transmission scheme using multimode fiber (MMF). By leveraging the frequency sensitivity of intermodal dispersion in MMFs, we achieve high-dimensional semantic encoding and decoding in the…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Zheng Gao , Ting Jiang , Mingming Zhang , Hao Wu , Ming Tang

We present two methods for reducing multidimensional information to one dimension for ease of understand or analysis while maintaining statistical power. While not new, dimensional reduction is not greatly used in high-energy physics and…

Data Analysis, Statistics and Probability · Physics 2015-05-14 Mario Campanelli , William Murray

This paper studies the fundamental limit of semantic communications over the discrete memoryless channel. We consider the scenario to send a semantic source consisting of an observation state and its corresponding semantic state, both of…

Information Theory · Computer Science 2024-01-03 Dongxu Li , Jianhao Huang , Chuan Huang , Xiaoqi Qin , Han Zhang , Ping Zhang