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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

By considering the energy cost of messages carried by proteins as proportional to their information content we found experimental proof that proteins from all living organisms tend to have their estimated semantic content of information per…

Biomolecules · Quantitative Biology 2007-05-23 Robersy Sanchez , Ricardo Grau

For the multiterminal secret key agreement problem under a private source model, it is known that the maximum key rate, i.e., the secrecy capacity, can be achieved through communication for omniscience, but the omniscience strategy can be…

Information Theory · Computer Science 2018-01-08 Chung Chan , Manuj Mukherjee , Navin Kashyap , Qiaoqiao Zhou

We propose a generic mechanism for incentivizing behavior in an arbitrary finite game using payments. Doing so is trivial if the mechanism is allowed to observe all actions taken in the game, as this allows it to simply punish those agents…

Computer Science and Game Theory · Computer Science 2023-04-05 Nikolaj I. Schwartzbach

A fundamental question in the conjunction of information theory, biophysics, bioinformatics and thermodynamics relates to the principles and processes that guide the development of natural intelligence in natural environments where…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Serge Dolgikh

Almost all neural computations involve making predictions. Whether an organism is trying to catch prey, avoid predators, or simply move through a complex environment, the data it collects through its senses can guide its actions only to the…

Neurons and Cognition · Quantitative Biology 2015-07-02 Jared Salisbury , Stephanie E. Palmer

A common strategy for improving optimization algorithms is to restart the algorithm when it is believed to be trapped in an inferior part of the search space. However, while specific restart strategies have been developed for specific…

Artificial Intelligence · Computer Science 2016-09-14 Tobias Friedrich , Timo Kötzing , Markus Wagner

We establish a theory of quantum-to-classical rate distortion coding. In this setting, a sender Alice has many copies of a quantum information source. Her goal is to transmit classical information about the source, obtained by performing a…

Quantum Physics · Physics 2013-04-05 Nilanjana Datta , Min-Hsiu Hsieh , Mark M. Wilde , Andreas Winter

Digital collectible card games are not only a growing part of the video game industry, but also an interesting research area for the field of computational intelligence. This game genre allows researchers to deal with hidden information,…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Pablo García-Sánchez , Alberto Tonda , Antonio J. Fernández-Leiva , Carlos Cotta

Learning with hidden variables is a central challenge in probabilistic graphical models that has important implications for many real-life problems. The classical approach is using the Expectation Maximization (EM) algorithm. This…

Machine Learning · Computer Science 2012-12-12 Gal Elidan , Nir Friedman

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

Machine Learning · Computer Science 2013-02-12 H. Brendan McMahan

Energy demand has increased considerably with the growth of world population, increasing the interest in the hydrocarbon reservoir management problem. Companies are concerned with maximizing oil recovery while minimizing capital investment…

Optimization and Control · Mathematics 2015-04-28 Grazieli L. C. Carosio , Thomas D. Humphries , Ronald D. Haynes , Colin G. Farquharson

This paper presents a novel approach for optimizing betting strategies in sports gambling by integrating Von Neumann-Morgenstern Expected Utility Theory, deep learning techniques, and advanced formulations of the Kelly Criterion. By…

Portfolio Management · Quantitative Finance 2023-07-27 Vélez Jiménez , Román Alberto , Lecuanda Ontiveros , José Manuel , Edgar Possani

We consider an optimization problem in which a (single) bat aims to exploit the nectar in a set of $n$ cacti with the objective of maximizing the expected total amount of nectar it drinks. Each cactus $i \in [n]$ is characterized by a…

Data Structures and Algorithms · Computer Science 2020-07-21 Amos Korman , Yuval Emek , Simon Collet , Aya Goldshtein , Yossi Yovel

For over a decade now, robotics and the use of artificial agents have become a common thing.Testing the performance of new path finding or search space optimization algorithms has also become a challenge as they require simulation or an…

Machine Learning · Computer Science 2022-07-29 Jerin Paul Selvan , Pravin S. Game

The Logical Execution Time (LET) programming model has recently received considerable attention, particularly because of its timing and dataflow determinism. In LET, task computation appears always to take the same amount of time (called…

Systems and Control · Electrical Eng. & Systems 2024-03-11 Sen Wang , Dong Li , Ashrarul H. Sifat , Shao-Yu Huang , Xuanliang Deng , Changhee Jung , Ryan Williams , Haibo Zeng

Random selection, leader election, and collective coin flipping are fundamental tasks in fault-tolerant distributed computing. We study these problems in the full-information model where despite decades of study, key gaps remain in our…

Computational Complexity · Computer Science 2026-04-30 Eshan Chattopadhyay , Mohit Gurumukhani , Noam Ringach , Rocco A. Servedio

The takeoff point for this paper is the voluminous body of literature addressing recursive betting games with expected logarithmic growth of wealth being the performance criterion. Whereas almost all existing papers involve use of linear…

Optimization and Control · Mathematics 2024-01-17 Anton V. Proskurnikov , B. Ross Barmish

Given the stochastic nature of gene expression, genetically identical cells exposed to the same environmental inputs will produce different outputs. This heterogeneity has been hypothesized to have consequences for how cells are able to…

Molecular Networks · Quantitative Biology 2020-08-19 Manuel Razo-Mejia , Sarah Marzen , Griffin Chure , Rachel Taubman , Muir Morrison , Rob Phillips

In this paper we present novel algorithmic solutions for several resource processing and data transfer multicriteria optimization problems. The results of most of the presented techniques are strategies which solve the considered problems…

Data Structures and Algorithms · Computer Science 2010-06-28 Mugurel Ionut Andreica , Nicolae Tapus
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