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The information-theoretic framework promises to explain the predictive power of neural networks. In particular, the information plane analysis, which measures mutual information (MI) between input and representation as well as…

Information Theory · Computer Science 2023-03-02 Linara Adilova , Bernhard C. Geiger , Asja Fischer

Frequently one has to search within a finite population for a single particular individual or item with a rare characteristic. Whether an item possesses the characteristic can only be determined by close inspection. The availability of…

Probability · Mathematics 2013-10-23 André J. Hoogstrate , Chris A. J. Klaassen

The need for multimodal data integration arises naturally when multiple complementary sets of features are measured on the same sample. Under a dependent multifactor model, we develop a fully data-driven orchestrated approximate message…

Methodology · Statistics 2026-01-22 Sagnik Nandy , Zongming Ma

A general framework is introduced to estimate how much external information has been infused into a search algorithm, the so-called active information. This is rephrased as a test of fine-tuning, where tuning corresponds to the amount of…

Statistics Theory · Mathematics 2023-01-26 Daniel Andrés Díaz-Pachón , Ola Hössjer

One of the hallmarks of biological organisms is their ability to integrate disparate information sources to optimize their behavior in complex environments. How this capability can be quantified and related to the functional complexity of…

Populations and Evolution · Quantitative Biology 2011-11-08 Jeffrey Edlund , Nicolas Chaumont , Arend Hintze , Christof Koch , Giulio Tononi , Christoph Adami

In this paper, we view a policy or plan as a transition system over a space of information states that reflect a robot's or other observer's perspective based on limited sensing, memory, computation, and actuation. Regardless of whether…

Robotics · Computer Science 2022-12-02 Basak Sakcak , Vadim Weinstein , Steven M. LaValle

Information theory provides tools to predict the performance of a learning algorithm on a given dataset. For instance, the accuracy of learning an unknown parameter can be upper bounded by reducing the learning task to hypothesis testing…

Quantum Physics · Physics 2026-04-21 Evan Peters

Internet of Intelligent Things (IoIT), an emerging field, combines the utility of Internet of Things (IoT) devices with the innovation of embedded AI algorithms. However, it does not come without challenges, and struggles regarding…

Networking and Internet Architecture · Computer Science 2025-09-16 Vadim Allayev , Mahbubur Rahman

In analysis of multi-component complex systems, such as neural systems, identifying groups of units that share similar functionality will aid understanding of the underlying structures of the system. To find such a grouping, it is useful to…

Information Theory · Computer Science 2018-11-21 Shohei Hidaka , Masafumi Oizumi

Information theory has explained the organization of many biological phenomena, from the physiology of sensory receptive fields to the variability of certain DNA sequence ensembles. Some scholars have proposed that information should…

Other Quantitative Biology · Quantitative Biology 2010-10-25 Edward K. Agarwala , Hillel J. Chiel , Peter J. Thomas

We present an information-theoretic framework for understanding overfitting and underfitting in machine learning and prove the formal undecidability of determining whether an arbitrary classification algorithm will overfit a dataset.…

Machine Learning · Computer Science 2020-11-10 Daniel Bashir , George D. Montanez , Sonia Sehra , Pedro Sandoval Segura , Julius Lauw

Mutual Information (MI) is a powerful statistical measure that quantifies shared information between random variables, particularly valuable in high-dimensional data analysis across fields like genomics, natural language processing, and…

Machine Learning · Computer Science 2024-12-02 Andre O. Falcao

We introduce a hierarchical classification of theories that describe systems with fundamentally limited information content. This property is introduced in an operational way and gives rise to the existence of mutually complementary…

Quantum Physics · Physics 2010-05-27 Tomasz Paterek , Borivoje Dakic , Caslav Brukner

Chain-of-thought (CoT) monitors are LLM-based systems that analyze reasoning traces to detect when outputs may exhibit attributes of interest, such as test-hacking behavior during code generation. In this paper, we use information-theoretic…

Machine Learning · Computer Science 2026-02-23 Usman Anwar , Tim Bakker , Dana Kianfar , Cristina Pinneri , Christos Louizos

Information-theoretic Bayesian optimization techniques have become popular for optimizing expensive-to-evaluate black-box functions due to their non-myopic qualities. Entropy Search and Predictive Entropy Search both consider the entropy…

Machine Learning · Computer Science 2023-01-18 Carl Hvarfner , Frank Hutter , Luigi Nardi

Information Retrieval (IR) systems are designed to deliver relevant content, but traditional systems may not optimize rankings for fairness, neutrality, or the balance of ideas. Consequently, IR can often introduce indexical biases, or…

Information Retrieval · Computer Science 2024-06-07 Caleb Ziems , William Held , Jane Dwivedi-Yu , Diyi Yang

Item response theory (IRT) is a non-linear generative probabilistic paradigm for using exams to identify, quantify, and compare latent traits of individuals, relative to their peers, within a population of interest. In pre-existing…

Machine Learning · Computer Science 2019-12-06 Joshua C. Chang , Shashaank Vattikuti , Carson C. Chow

Deep neural networks are applied in more and more areas of everyday life. However, they still lack essential abilities, such as robustly dealing with spatially transformed input signals. Approaches to mitigate this severe robustness issue…

Machine Learning · Computer Science 2024-05-28 Johann Schmidt , Sebastian Stober

Quantifying the information content in a neural network model is essentially estimating the model's Kolmogorov complexity. Recent success of prequential coding on neural networks points to a promising path of deriving an efficient…

Machine Learning · Computer Science 2020-12-04 Xiao Zhang , Xingjian Li , Dejing Dou , Ji Wu

Efficient robotic exploration of unknown, sensor limited, global-information-deficient environments poses unique challenges to path planning algorithms. In these difficult environments, no deterministic guarantees on path completion and…

Robotics · Computer Science 2017-05-01 Alexander Ivanov , Mark Campbell