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In this paper we investigate stopping criteria for iterative decoding from a mutual information perspective. We introduce new iteration stopping rules based on an approximation of the mutual information between encoded bits and decoder soft…

Information Theory · Computer Science 2013-02-07 Jinhong Wu , Branimir R. Vojcic , Jia Sheng

In this paper, we consider methods whereby a subset of players in a $(k,n)$-threshold scheme can "repair" another player's share in the event that their share has been lost or corrupted. This will take place without the participation of the…

Combinatorics · Mathematics 2016-09-06 Douglas R. Stinson , Ruizhong Wei

The dynamic problem of enclosing an expanding fire can be modelled by a discrete variant in a grid graph. While the fire expands to all neighbouring cells in any time step, the fire fighter is allowed to block $c$ cells in the average…

Neural and Evolutionary Computing · Computer Science 2017-05-05 Martin Kretschmer , Elmar Langetepe

The main challenge for adaptive regulation of linear-quadratic systems is the trade-off between identification and control. An adaptive policy needs to address both the estimation of unknown dynamics parameters (exploration), as well as the…

Systems and Control · Computer Science 2019-04-01 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Multiple web-scale Knowledge Bases, e.g., Freebase, YAGO, NELL, have been constructed using semi-supervised or unsupervised information extraction techniques and many of them, despite their large sizes, are continuously growing. Much…

Databases · Computer Science 2019-04-23 Xiaofeng Zhou , Ali Sadeghian , Daisy Zhe Wang

This paper argues that continued AI scaling requires repeated efficiency doublings. Classical AI scaling laws remain useful because they make progress predictable despite diminishing returns, but the compute variable in those laws is best…

Machine Learning · Computer Science 2026-04-10 Chien-Ping Lu

Online Convex Optimization plays a key role in large scale machine learning. Early approaches to this problem were conservative, in which the main focus was protection against the worst case scenario. But recently several algorithms have…

Machine Learning · Computer Science 2016-09-09 Parameswaran Kamalaruban

Large language models (LLMs) are increasingly deployed as optimization modules in agentic systems, yet the fundamental limits of such LLM-mediated improvement remain poorly understood. Here we propose a theory of LLM information…

Machine Learning · Computer Science 2026-03-26 Zhuo-Yang Song , Hua Xing Zhu

Hoping to stimulate new research in individual animal identification from images, we propose to formulate the problem as the human-machine Continual Curation of images and animal identities. This is an open world recognition problem, where…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Charles V. Stewart , Jason R. Parham , Jason Holmberg , Tanya Y. Berger-Wolf

For constrained linear systems with bounded disturbances and parametric uncertainty, we propose a robust adaptive model predictive control strategy with online parameter estimation. Constraints enforcing persistently exciting closed loop…

Optimization and Control · Mathematics 2023-03-08 Xiaonan Lu , Mark Cannon

Simultaneous perturbation stochastic approximation (SPSA) is widely used in stochastic optimization due to its high efficiency, asymptotic stability, and reduced number of required loss function measurements. However, the standard SPSA…

Optimization and Control · Mathematics 2023-02-07 Zhichao Jia , Ziyi Wei , James C. Spall

Many complex systems occurring in the natural or social sciences or economics are frequently described on a microscopic level, e.g., by lattice- or agent-based models. To analyze the states of such systems and their bifurcation structure on…

Adaptation and Self-Organizing Systems · Physics 2020-10-07 Clemens Willers , Uwe Thiele , Andrew J. Archer , David J. B. Lloyd , Oliver Kamps

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

We study and derive algorithms for nonlinear eigenvalue problems, where the system matrix depends on the eigenvector, or several eigenvectors (or their corresponding invariant subspace). The algorithms are derived from an implicit…

Numerical Analysis · Mathematics 2020-03-02 Elias Jarlebring , Parikshit Upadhyaya

Manipulating data, such as weighting data examples or augmenting with new instances, has been increasingly used to improve model training. Previous work has studied various rule- or learning-based approaches designed for specific types of…

Machine Learning · Computer Science 2019-10-29 Zhiting Hu , Bowen Tan , Ruslan Salakhutdinov , Tom Mitchell , Eric P. Xing

Symmetry-aware methods for machine learning, such as data augmentation and equivariant architectures, encourage correct model behavior on all transformations (e.g. rotations or permutations) of the original dataset. These methods can…

Machine Learning · Computer Science 2026-03-31 Hannah Lawrence , Elyssa Hofgard , Vasco Portilheiro , Yuxuan Chen , Tess Smidt , Robin Walters

Template update allows to modify the biometric reference of a user while he uses the biometric system. With such kind of mechanism we expect the biometric system uses always an up to date representation of the user, by capturing his…

Other Computer Science · Computer Science 2012-03-08 Romain Giot , Christophe Rosenberger , Bernadette Dorizzi

In this article, we will research the Recommender System's implementation about how it works and the algorithms used. We will explain the Recommender System's algorithms based on mathematical principles, and find feasible methods for…

Information Retrieval · Computer Science 2023-04-27 Fu Chen , Junkang Zou , Lingfeng Zhou , Zekai Xu , Zhenyu Wu

Association rule mining is an active data mining research area and most ARM algorithms cater to a centralized environment. Centralized data mining to discover useful patterns in distributed databases isn't always feasible because merging…

Databases · Computer Science 2010-04-13 J. Arokia Renjit , K. L. Shunmuganathan

We present a new approach to encourage neural machine translation to satisfy lexical constraints. Our method acts at the training step and thereby avoiding the introduction of any extra computational overhead at inference step. The proposed…

Computation and Language · Computer Science 2021-06-08 Melissa Ailem , Jinghsu Liu , Raheel Qader