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Particle filters for data assimilation in nonlinear problems use "particles" (replicas of the underlying system) to generate a sequence of probability density functions (pdfs) through a Bayesian process. This can be expensive because a…

Numerical Analysis · Mathematics 2009-05-15 Alexandre J. Chorin , Xuemin Tu

The manuscript introduces a method to select a random sample from a stream by deciding on each sampling unit immediately after observing it. The process could be applied to unequal as well as equal probability sampling. The implementation…

Data Structures and Algorithms · Computer Science 2021-11-19 Bardia Panahbehagh , Raphaël Jauslin , Yves Tillé

Determinantal point processes (DPPs) are specific probability distributions over clouds of points that are used as models and computational tools across physics, probability, statistics, and more recently machine learning. Sampling from…

Machine Learning · Computer Science 2022-03-22 Guillaume Gautier , Guillermo Polito , Rémi Bardenet , Michal Valko

We investigate the use of a stratified sampling approach for LIME Image, a popular model-agnostic explainable AI method for computer vision tasks, in order to reduce the artifacts generated by typical Monte Carlo sampling. Such artifacts…

Artificial Intelligence · Computer Science 2024-03-27 Muhammad Rashid , Elvio G. Amparore , Enrico Ferrari , Damiano Verda

This paper gives a general interpretation of Linear Prediction (LP) by interpolation framework different from the perspective of statistics. This interpretation is proved to be useful by several following results, such as: The mechanism of…

Signal Processing · Electrical Eng. & Systems 2019-05-21 Changcun Huang

Graph signal sampling is the problem of selecting a subset of representative graph vertices whose values can be used to interpolate missing values on the remaining graph vertices. Optimizing the choice of sampling set using concepts from…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Ajinkya Jayawant , Antonio Ortega

Random processes play a crucial role in scientific research, often characterized by distribution functions or probability density functions (PDFs). These PDFs serve as essential approximations of the actual and frequently undisclosed…

Methodology · Statistics 2023-06-06 Nico Schick

Downsampling or under-sampling is a technique that is utilized in the context of large and highly imbalanced classification models. We study optimal downsampling for imbalanced classification using generalized linear models (GLMs). We…

Machine Learning · Statistics 2025-05-20 Yan Chen , Jose Blanchet , Krzysztof Dembczynski , Laura Fee Nern , Aaron Flores

Variational inference is an increasingly popular method in statistics and machine learning for approximating probability distributions. We developed LINFA (Library for Inference with Normalizing Flow and Annealing), a Python library for…

Machine Learning · Computer Science 2023-07-17 Yu Wang , Emma R. Cobian , Jubilee Lee , Fang Liu , Jonathan D. Hauenstein , Daniele E. Schiavazzi

Dynamic Programming (DP) suffers from the well-known ``curse of dimensionality'', further exacerbated by the need to compute expectations over process noise in stochastic models. This paper presents a Monte Carlo-based sampling approach for…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Mohammad S. Ramadan , Ahmad Al-Tawaha , Mohamed Shouman , Ahmed Atallah , Ming Jin

This work presents CLIPDraw, an algorithm that synthesizes novel drawings based on natural language input. CLIPDraw does not require any training; rather a pre-trained CLIP language-image encoder is used as a metric for maximizing…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Kevin Frans , L. B. Soros , Olaf Witkowski

We propose a novel method for sampling from unnormalized Boltzmann densities based on a probability flow ordinary differential equation (ODE) derived from linear stochastic interpolants. The key innovation of our approach is the use of a…

Numerical Analysis · Mathematics 2026-03-12 Chenguang Duan , Yuling Jiao , Gabriele Steidl , Christian Wald , Jerry Zhijian Yang , Ruizhe Zhang

ProSper is a python library containing probabilistic algorithms to learn dictionaries. Given a set of data points, the implemented algorithms seek to learn the elementary components that have generated the data. The library widens the scope…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Georgios Exarchakis , Jörg Bornschein , Abdul-Saboor Sheikh , Zhenwen Dai , Marc Henniges , Jakob Drefs , Jörg Lücke

The lensless endoscope is a promising device designed to image tissues in vivo at the cellular scale. The traditional acquisition setup consists in raster scanning during which the focused light beam from the optical fiber illuminates…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Stéphanie Guérit , Siddharth Sivankutty , Camille Scotté , John Alto Lee , Hervé Rigneault , Laurent Jacques

Random light fields -- commonly known as speckles -- demonstrate Rayleigh intensity statistics and only possess local correlations: which occur within the individual speckle grains. In this work, we develop an experimental method for…

Optics · Physics 2019-11-15 Nicholas Bender , Hasan Yılmaz , Yaron Bromberg , Hui Cao

In modern data analysis, random sampling is an efficient and widely-used strategy to overcome the computational difficulties brought by large sample size. In previous studies, researchers conducted random sampling which is according to the…

Machine Learning · Statistics 2018-03-05 Rong Zhu

Today's probabilistic language generators fall short when it comes to producing coherent and fluent text despite the fact that the underlying models perform well under standard metrics, e.g., perplexity. This discrepancy has puzzled the…

Computation and Language · Computer Science 2025-06-06 Clara Meister , Tiago Pimentel , Gian Wiher , Ryan Cotterell

Interactive line chart visualizations greatly enhance the effective exploration of large time series. Although downsampling has emerged as a well-established approach to enable efficient interactive visualization of large datasets, it is…

Signal Processing · Electrical Eng. & Systems 2023-07-12 Jeroen Van Der Donckt , Jonas Van Der Donckt , Sofie Van Hoecke

Recent works have demonstrated that the convergence rate of a nonparametric density estimator can be greatly improved by using a low-rank estimator when the target density is a convex combination of separable probability densities with…

Statistics Theory · Mathematics 2023-02-10 Robert A. Vandermeulen

We present an interface between PineAPPL and Matrix, which allows fully differential cross sections to be calculated in the form of interpolation grids, accurate at next-to-next-to-leading order (NNLO) in QCD and next-to-leading order in…

High Energy Physics - Phenomenology · Physics 2026-05-29 S. Devoto , T. Jezo , S. Kallweit , C. Schwan