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Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

Explainable artificial intelligence has rapidly emerged since lawmakers have started requiring interpretable models for safety-critical domains. Concept-based neural networks have arisen as explainable-by-design methods as they leverage…

Artificial Intelligence · Computer Science 2023-09-28 Pietro Barbiero , Gabriele Ciravegna , Francesco Giannini , Pietro Lió , Marco Gori , Stefano Melacci

In classification problems, the datasets are usually imbalanced, noisy or complex. Most sampling algorithms only make some improvements to the linear sampling mechanism of the synthetic minority oversampling technique (SMOTE). Nevertheless,…

Machine Learning · Statistics 2023-07-06 Min Li , Hao Zhou , Qun Liu , Yabin Shao , Guoying Wang

Maximum entropy method for analytic continuation is extended by introducing quantum relative entropy. This new method is formulated in terms of matrix-valued functions and therefore invariant under arbitrary unitary transformation of input…

Strongly Correlated Electrons · Physics 2018-11-05 Jae-Hoon Sim , Myung Joon Han

The Maximum Entropy Method (MEM) is a popular data analysis technique based on Bayesian inference, which has found various applications in the research literature. While the MEM itself is well-grounded in statistics, I argue that its…

Data Analysis, Statistics and Probability · Physics 2020-11-03 Alexander Rothkopf

Imitation learning (IL) provides a data-driven framework for approximating policies for large-scale combinatorial optimisation problems formulated as sequential decision problems (SDPs), where exact solution methods are computationally…

Machine Learning · Computer Science 2026-04-13 Prakash Gawas , Antoine Legrain , Louis-Martin Rousseau

In this tutorial we review the essential arguments behing entropic inference. We focus on the epistemological notion of information and its relation to the Bayesian beliefs of rational agents. The problem of updating from a prior to a…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Ariel Caticha

Meta-learning owns unique effectiveness and swiftness in tackling emerging tasks with limited data. Its broad applicability is revealed by viewing it as a bi-level optimization problem. The resultant algorithmic viewpoint however, faces…

Machine Learning · Computer Science 2023-12-22 Yilang Zhang , Bingcong Li , Shijian Gao , Georgios B. Giannakis

Originally developed as a theory of consciousness, integrated information theory provides a mathematical framework to quantify the causal irreducibility of systems and subsets of units in the system. Specifically, mechanism integrated…

Neurons and Cognition · Quantitative Biology 2024-04-23 Alireza Zaeemzadeh , Giulio Tononi

A new nonparametric approach for system identification has been recently proposed where the impulse response is seen as the realization of a zero--mean Gaussian process whose covariance, the so--called stable spline kernel, guarantees that…

Statistics Theory · Mathematics 2016-11-18 Francesca Paola Carli

Information geometry and inductive inference methods can be used to model dynamical systems in terms of their probabilistic description on curved statistical manifolds. In this article, we present a formal conceptual reexamination of the…

Mathematical Physics · Physics 2010-11-29 C. Cafaro , A. Giffin , S. A. Ali , D. -H. Kim

Due to the superior performance of Graph Neural Networks (GNNs) in various domains, there is an increasing interest in the GNN explanation problem "\emph{which fraction of the input graph is the most crucial to decide the model's…

Machine Learning · Computer Science 2022-07-04 Qinghua Zheng , Jihong Wang , Minnan Luo , Yaoliang Yu , Jundong Li , Lina Yao , Xiaojun Chang

How to find unknown distributions is questioned in many pieces of research. There are several ways to figure them out, but the main question is which acts more reasonably than others. In this paper, we focus on the maximum entropy principle…

Other Statistics · Statistics 2023-07-26 Seyedeh Azadeh Fallah Mortezanejad

We extend the notion of estimation entropy of autonomous dynamical systems proposed by Liberzon and Mitra [1] to nonlinear dynamical systems with uncertain inputs with bounded variation. We call this new notion the {$\epsilon$}-estimation…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Hussein Sibai , Sayan Mitra

Most modern neural networks for classification fail to take into account the concept of the unknown. Trained neural networks are usually tested in an unrealistic scenario with only examples from a closed set of known classes. In an attempt…

Machine Learning · Computer Science 2022-12-27 Justin Leo , Jugal Kalita

There is growing interest in concept-based models (CBMs) that combine high-performance and interpretability by acquiring and reasoning with a vocabulary of high-level concepts. A key requirement is that the concepts be interpretable.…

Machine Learning · Computer Science 2022-10-19 Emanuele Marconato , Andrea Passerini , Stefano Teso

Large language models (LLMs) demonstrate strong reasoning abilities in solving complex real-world problems. Yet, the internal mechanisms driving these complex reasoning behaviors remain opaque. Existing interpretability approaches targeting…

Artificial Intelligence · Computer Science 2026-02-04 Changming Li , Kaixing Zhang , Haoyun Xu , Yingdong Shi , Zheng Zhang , Kaitao Song , Kan Ren

Explanation methods help understand the reasons for a model's prediction. These methods are increasingly involved in model debugging, performance optimization, and gaining insights into the workings of a model. With such critical…

Machine Learning · Computer Science 2025-04-16 Mihir Mulye , Matias Valdenegro-Toro

The problem of assigning probability distributions which objectively reflect the prior information available about experiments is one of the major stumbling blocks in the use of Bayesian methods of data analysis. In this paper the method of…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Ariel Caticha , Roland Preuss

We adopt an information-theoretic framework to analyze the generalization behavior of the class of iterative, noisy learning algorithms. This class is particularly suitable for study under information-theoretic metrics as the algorithms are…

Machine Learning · Computer Science 2023-07-20 Ibrahim Issa , Amedeo Roberto Esposito , Michael Gastpar
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