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Deterministic chaos permits a precise notion of a "perfect measurement" as one that, when obtained repeatedly, captures all of the information created by the system's evolution with minimal redundancy. Finding an optimal measurement is…

Machine Learning · Computer Science 2024-03-21 Kieran A. Murphy , Dani S. Bassett

Objective measures of image quality generally operate by comparing pixels of a "degraded" image to those of the original. Relative to human observers, these measures are overly sensitive to resampling of texture regions (e.g., replacing one…

Computer Vision and Pattern Recognition · Computer Science 2021-01-25 Keyan Ding , Kede Ma , Shiqi Wang , Eero P. Simoncelli

Recurrence analysis is a well settled method allowing to discern chaos from order, and determinism from noise. We apply this tool to study time series representing geodesic and inspiraling motion of a test particle in a deformed Kerr…

General Relativity and Quantum Cosmology · Physics 2017-10-24 Georgios Lukes-Gerakopoulos , Ondřej Kopáček

Inpainting-based image compression is a promising alternative to classical transform-based lossy codecs. Typically it stores a carefully selected subset of all pixel locations and their colour values. In the decoding phase the missing…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Ferdinand Jost , Vassillen Chizhov , Joachim Weickert

Collins(2002, 2011) raised a number of issues with regards to correspondence analysis (CA), such as: qualitative information in a CA map versus quantitative information in the relevant contingency table; the interpretation of a CA map is…

Methodology · Statistics 2021-08-25 Vartan Choulakian

Most practical data science problems encounter missing data. A wide variety of solutions exist, each with strengths and weaknesses that depend upon the missingness-generating process. Here we develop a theoretical framework for training and…

Machine Learning · Computer Science 2022-11-15 Jahan C. Penny-Dimri , Christoph Bergmeir , Julian Smith

Imbalanced data occurs in a wide range of scenarios. The skewed distribution of the target variable elicits bias in machine learning algorithms. One of the popular methods to combat imbalanced data is to artificially balance the data…

Machine Learning · Computer Science 2021-10-26 Firuz Kamalov , Ashraf Elnagar

Imbalanced data set is a problem often found and well-studied in financial industry. In this paper, we reviewed and compared some popular methodologies handling data imbalance. We then applied the under-sampling/over-sampling methodologies…

Machine Learning · Statistics 2021-04-07 Lian Yu , Nengfeng Zhou

A direct data-driven iterative algorithm is developed to accurately estimate the $H_\infty$ norm of a linear time-invariant system from continuous operation, i.e., without resetting the system. The main technical step involves a…

Optimization and Control · Mathematics 2023-11-22 Tom Oomen , Cristian R. Rojas

We study the approach towards equilibrium in a dynamic Ising model, the Q2R cellular automaton, with microscopic reversibility and conserved energy for an infinite one-dimensional system. Starting from a low-entropy state with positive…

Statistical Mechanics · Physics 2017-08-02 Kristian Lindgren , Eckehard Olbrich

This paper focuses on a specific aspect of human visual discrimination from computationally generated solutions for CAAD ends. The bottleneck at work here concern informational ratios of discriminative rates over generative ones. The amount…

Human-Computer Interaction · Computer Science 2024-12-30 Pierre Cutellic

This paper advocates privacy preserving requirements on collection of user data for recommender systems. The purpose of our study is twofold. First, we ask if restrictions on data collection will hurt test quality of RNN-based…

Information Retrieval · Computer Science 2021-06-22 Gustav Hertz , Sandhya Sachidanandan , Balázs Tóth , Emil S. Jørgensen , Martin Tegnér

Data is one of the most important assets of the information age, and its societal impact is undisputed. Yet, rigorous methods of assessing the quality of data are lacking. In this paper, we propose a formal definition for the quality of a…

Machine Learning · Computer Science 2020-05-13 Netanel Raviv , Siddharth Jain , Jehoshua Bruck

In scientific inference problems, the underlying statistical modeling assumptions have a crucial impact on the end results. There exist, however, only a few automatic means for validating these fundamental modelling assumptions. The…

Methodology · Statistics 2019-05-21 Andreas Svensson , Dave Zachariah , Petre Stoica , Thomas B. Schön

Recent state-of-the-art forecasting methods are trained on collections of time series. These methods, often referred to as global models, can capture common patterns in different time series to improve their generalization performance.…

Machine Learning · Computer Science 2024-04-30 Vitor Cerqueira , Nuno Moniz , Ricardo Inácio , Carlos Soares

We consider a ranking problem where we have noisy observations from a matrix with isotonic columns whose rows have been permuted by some permutation $\pi$ *. This encompasses many models, including crowd-labeling and ranking in tournaments…

Statistics Theory · Mathematics 2023-10-03 Emmanuel Pilliat , Alexandra Carpentier , Nicolas Verzelen

We consider the problem of estimating the factors of a rank-$1$ matrix with i.i.d. Gaussian, rank-$1$ measurements that are nonlinearly transformed and corrupted by noise. Considering two prototypical choices for the nonlinearity, we study…

Optimization and Control · Mathematics 2024-10-02 Kabir Aladin Chandrasekher , Mengqi Lou , Ashwin Pananjady

This paper extends the subjects dicussed in the Data Analysis and Dynamical Systems courses by looking at the subject of modelling data. This task is nontrivial as the underlying process could be non-linear. In the paper some common…

Statistics Theory · Mathematics 2011-08-02 Vincent Mellor

The improved method of intermittent data analysis is proposed. It exploits, in addition to the standard density moments, the information on the bin-bin correlations, observed in the data and expressed in terms of the density correlators.…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ziaja

Imbalance in classification tasks is commonly quantified by the cardinalities of examples across classes. This, however, disregards the presence of redundant examples and inherent differences in the learning difficulties of classes.…

Machine Learning · Computer Science 2026-01-22 Çağrı Eser , Zeynep Sonat Baltacı , Emre Akbaş , Sinan Kalkan