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In this work, we present a new random sampling method for data streams where the probability of an element's inclusion in the sample is proportional to a weight associated with that element. Our method is based on sampling with replacement,…

Data Structures and Algorithms · Computer Science 2026-03-18 Adriano Meligrana , Adriano Fazzone

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

Machine Learning · Computer Science 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

Estimating the score function (or other population-density-dependent functions) is a fundamental component of most generative models. However, such function estimation is computationally and statistically challenging. Can we avoid function…

Machine Learning · Computer Science 2025-07-14 Hadi Daneshmand , Ashkan Soleymani

After data selection, pre-processing, transformation, and feature extraction, knowledge extraction is not the final step in a data mining process. It is then necessary to understand this knowledge in order to apply it efficiently and…

Machine Learning · Computer Science 2016-05-23 Dominik Fisch , Christian Gruhl , Edgar Kalkowski , Bernhard Sick , Seppo J. Ovaska

This note explores probabilistic sampling weighted by uncertainty in active learning. This method has been previously used and authors have tangentially remarked on its efficacy. The scheme has several benefits: (1) it is computationally…

Machine Learning · Computer Science 2019-09-12 Vinay Jethava

In order to take the weight of connection into consideration and to find a natural measurement of weight, we have collected papers in Econophysics and constructed a network of scientific communication to integrate idea transportation among…

Other Condensed Matter · Physics 2007-05-23 Menghui Li , Ying Fan , Jiawei Chen , Liang Gao , Zengru Di , Jinshan Wu

We discuss a new weighted likelihood method for parametric estimation. The method is motivated by the need for generating a simple estimation strategy which provides a robust solution that is simultaneously fully efficient when the model is…

Methodology · Statistics 2019-08-29 Suman Majumder , Adhidev Biswas , Tania Roy , Subir Kumar Bhandari , Ayanendranath Basu

We provide a novel approach to construct generative models for graphs. Instead of using the traditional probabilistic models or deep generative models, we propose to instead find an algorithm that generates the data. We achieve this using…

Machine Learning · Computer Science 2023-04-26 Mihai Babiac , Karolis Martinkus , Roger Wattenhofer

The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT where the intensity of the pixels are used to define the…

Computational Geometry · Computer Science 2023-07-27 Jessi Cisewski-Kehe , Brittany Terese Fasy , Dhanush Giriyan , Eli Quist

Weighted Updating generalizes Bayesian updating, allowing for biased beliefs by weighting the likelihood function and prior distribution with positive real exponents. I provide a rigorous foundation for the model by showing that…

Probability · Mathematics 2016-02-09 Jesse Aaron Zinn

In many machine learning applications, we are faced with incomplete datasets. In the literature, missing data imputation techniques have been mostly concerned with filling missing values. However, the existence of missing values is…

Machine Learning · Computer Science 2020-09-07 Mohammad Kachuee , Kimmo Karkkainen , Orpaz Goldstein , Sajad Darabi , Majid Sarrafzadeh

In this work, we present a method to generate probability distributions and classes of probability distributions, which broadens a process of probability distribution construction. In this method, distribution classes are built from…

Statistics Theory · Mathematics 2021-08-16 Cícero Carlos Ramos de Brito , Leandro Chaves Rêgo , Wilson Rosa de Oliveira

The extropy is a measure of information introduced by Lad et al. (2015) as dual to entropy. As the entropy, it is a shift-independent information measure. We introduce here the notion of weighted extropy, a shift-dependent information…

Statistics Theory · Mathematics 2020-08-19 Narayanaswamy Balakrishnan , Francesco Buono , Maria Longobardi

Given additional distributional information in the form of moment restrictions, kernel density and distribution function estimators with implied generalised empirical likelihood probabilities as weights achieve a reduction in variance due…

Methodology · Statistics 2019-10-08 Vitaliy Oryshchenko , Richard J. Smith

Scene graph generation is a structured prediction task aiming to explicitly model objects and their relationships via constructing a visually-grounded scene graph for an input image. Currently, the message passing neural network based mean…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Daqi Liu , Miroslaw Bober , Josef Kittler

The study on the generating function approach to entropy become popular as it generates several well-known entropy measures discussed in the literature. In this work, we define the weighted cumulative residual entropy generating function…

Statistics Theory · Mathematics 2024-02-12 Smitha S. , Sudheesh K. Kattumannil , Sreedevi E. P

This paper presents the probability distribution function (p.d.f.) and cumulative distribution function (c.d.f.) of the weighted sum of central independent chi-squared random variables with non-zero weighs based on a method using moment…

Information Theory · Computer Science 2022-03-24 Ayse Unsal , Raymond Knopp

Adapting neural networks to new tasks typically requires task-specific fine-tuning, which is time-consuming and reliant on labeled data. We explore a generative alternative that produces task-specific parameters directly from task identity,…

Machine Learning · Computer Science 2025-06-24 Lijun Zhang , Xiao Liu , Hui Guan

This article proposes a novel density estimation based algorithm for carrying out supervised machine learning. The proposed algorithm features O(n) time complexity for generating a classifier, where n is the number of sampling instances in…

Machine Learning · Statistics 2007-11-06 Yen-Jen Oyang , Chien-Yu Chen , Darby Tien-Hao Chang , Chih-Peng Wu

In this work we introduce a novel weighted message-passing algorithm based on the cavity method to estimate volume-related properties of random polytopes, properties which are relevant in various research fields ranging from metabolic…

Disordered Systems and Neural Networks · Physics 2015-06-11 Francesc Font-Clos , Francesco Alessandro Massucci , Isaac Pérez Castillo