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We study Liouville quantum gravity (LQG) in the supercritical (a.k.a. strongly coupled) phase, which has background charge $Q \in (0,2)$ and central charge $\mathbf{c}_{\mathrm{L}} = 1+6Q^2 \in (1,25)$. Recent works have shown how to define…

Probability · Mathematics 2025-05-30 Manan Bhatia , Ewain Gwynne , Jinwoo Sung

In the setting of minimal local grammar-based coding, the input string is represented as a grammar with the minimal output length defined via simple symbol-by-symbol encoding. This paper discusses four contributions to this field. First, we…

Information Theory · Computer Science 2025-04-17 Łukasz Dębowski

The problem of joint universal source coding and identification is considered in the setting of fixed-rate lossy coding of continuous-alphabet memoryless sources. For a wide class of bounded distortion measures, it is shown that any…

Information Theory · Computer Science 2007-07-13 Maxim Raginsky

In a networked control system, quantization is inevitable to transmit control and measurement signals. While uniform quantizers are often used in practical systems, the overloading, which is due to the limitation on the number of bits in…

Systems and Control · Computer Science 2017-04-14 Shuichi Ohno , Yuma Ishihara , Masaaki Nagahara

In this paper we study an imitation and transfer learning setting for Linear Quadratic Gaussian (LQG) control, where (i) the system dynamics, noise statistics and cost function are unknown and expert data is provided (that is, sequences of…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Taosha Guo , Abed AlRahman Al Makdah , Vishaal Krishnan , Fabio Pasqualetti

In this paper, source coding or data compression is viewed as a measurement problem. Given a measurement device with fewer states than the observable of a stochastic source, how can one capture the essential information? We propose modeling…

Chaotic Dynamics · Physics 2015-05-13 Nithin Nagaraj

The majority of Quantum Random Number Generators (QRNG) are designed as converters of a continuous quantum random variable into a discrete classical random bit value. For the resulting random bit sequence to be minimally biased, the…

Quantum Physics · Physics 2014-04-25 Pavel Lougovski , Raphael Pooser

In this paper, a dynamic antiwindup compensator design is proposed which augments the main controller and guarantees robust performance in the event of input saturation. This is a two stage process in which first a robust optimal controller…

Systems and Control · Computer Science 2015-03-19 Obaid ur Rehman , Ian R. Petersen , Baris Fidan

This paper considers the application of integral Linear Quadratic Gaussian (LQG) optimal control theory to a problem of cavity locking in quantum optics. The cavity locking problem involves controlling the error between the laser frequency…

Quantum Physics · Physics 2015-05-13 S. Z. Sayed Hassen , M. Heurs , E. H. Huntington , I. R. Petersen

Distributional linear quadratic regulator (LQR) is a new framework that integrates the distributional reinforcement learning and classical LQR, which offers a new way to study the random return instead of the expected cost. Unlike iterative…

Optimization and Control · Mathematics 2025-10-28 Ruyi Teng , Dan Wang , Wei Chen , Yulong Gao

In neural abstractive summarization, the conventional sequence-to-sequence (seq2seq) model often suffers from repetition and semantic irrelevance. To tackle the problem, we propose a global encoding framework, which controls the information…

Computation and Language · Computer Science 2018-06-14 Junyang Lin , Xu Sun , Shuming Ma , Qi Su

This paper studies the problem of stabilizing a continuous-time switched linear system by quantized output feedback. We assume that the quantized outputs and the switching signal are available to the controller at all time. We develop an…

Systems and Control · Computer Science 2014-03-20 Masashi Wakaiki , Yutaka Yamamoto

In this paper we consider lossless source coding for a class of sources specified by the total variational distance ball centred at a fixed nominal probability distribution. The objective is to find a minimax average length source code,…

Information Theory · Computer Science 2013-01-25 Themistoklis Charalambous , Charalambos D. Charalambous , Sergey Loyka

We show how universal codes can be used for solving some of the most important statistical problems for time series. By definition, a universal code (or a universal lossless data compressor) can compress any sequence generated by a…

Information Theory · Computer Science 2008-09-09 Boris Ryabko

A promising method for constructing a data-driven output-feedback control law involves the construction of a model-free observer. The Linear Quadratic Regulator (LQR) optimal control policy can then be obtained by both policy-iteration (PI)…

Optimization and Control · Mathematics 2025-09-24 Liquan Lin , Haoyan Lin , Jie Huang

Consider a distributed control problem with a communication channel connecting the observer of a linear stochastic system to the controller. The goal of the controller is to minimize a quadratic cost function in the state variables and…

Information Theory · Computer Science 2017-10-20 Victoria Kostina , Babak Hassibi

This paper studies fixed rate vector quantisation for noisy networked control systems (NCSs) with correlated packet dropouts. In particular, a discrete-time linear time invariant system is to be controlled over an error-prone digital…

Optimization and Control · Mathematics 2016-01-20 Edwin G. W. Peters , Daniel E. Quevedo , Jan Østergaard

We propose Grid-like Code Quantization (GCQ), a brain-inspired method for compressing observation-action sequences into discrete representations using grid-like patterns in attractor dynamics. Unlike conventional vector quantization…

Machine Learning · Computer Science 2025-10-21 Xiangyuan Peng , Xingsi Dong , Si Wu

In this paper a stochastic generalisation of the standard Linde-Buzo-Gray (LBG) approach to vector quantiser (VQ) design is presented, in which the encoder is implemented as the sampling of a vector of code indices from a probability…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stephen Luttrell

Adaptive coding faces the following problem: given a collection of source classes such that each class in the collection has non-trivial minimax redundancy rate, can we design a single code which is asymptotically minimax over each class in…

Information Theory · Computer Science 2016-09-02 Anna Ben-Hamou , Stephane Boucheron , Elisabeth Gassiat
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