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In machine learning models, the estimation of errors is often complex due to distribution bias, particularly in spatial data such as those found in environmental studies. We introduce an approach based on the ideas of importance sampling to…

Machine Learning · Computer Science 2023-09-15 Boris Prokhorov , Diana Koldasbayeva , Alexey Zaytsev

This paper aims to analyze the generalization power of deep neural networks (DNNs) from the perspective of interactions. Unlike previous analysis of a DNN's generalization power in a highdimensional feature space, we find that the…

Machine Learning · Computer Science 2025-02-17 Lei Cheng , Junpeng Zhang , Qihan Ren , Quanshi Zhang

Sorting is a common and ubiquitous activity for computers. It is not surprising that there exist a plethora of sorting algorithms. For all the sorting algorithms, it is an accepted performance limit that sorting algorithms are linearithmic…

Data Structures and Algorithms · Computer Science 2011-05-18 William F. Gilreath

We present a new adaptive algorithm for learning discrete distributions under distribution drift. In this setting, we observe a sequence of independent samples from a discrete distribution that is changing over time, and the goal is to…

Machine Learning · Computer Science 2024-03-11 Alessio Mazzetto

Nature has always been an inspiration to researchers with its diversity and robustness of its systems, and Artificial Immune Systems are one of them. Many algorithms were inspired by ongoing discoveries of biological immune systems…

Networking and Internet Architecture · Computer Science 2014-03-13 Amira Sayed A. Aziz , Ahmad Taher Azar , Aboul Ella Hassanien , Sanaa El-Ola Hanafy

Algorithms with (machine-learned) predictions is a powerful framework for combining traditional worst-case algorithms with modern machine learning. However, the vast majority of work in this space assumes that the prediction itself is…

Machine Learning · Computer Science 2024-11-26 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Aidin Niaparast , Sergei Vassilvitskii

Flip-sort is a natural sorting procedure which raises fascinating combinatorial questions. It finds its roots in the seminal work of Knuth on stack-based sorting algorithms and leads to many links with permutation patterns. We present…

Combinatorics · Mathematics 2023-06-22 Andrei Asinowski , Cyril Banderier , Benjamin Hackl

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

Methodology · Statistics 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

The dynamical systems of the form $\ddot\bold r=\bold F (\bold r,\dot\bold r)$ in $\Bbb R^n$ accepting the normal shift are considered. The concept of weak normality for them is introduced. The partial differential equations for the force…

patt-sol · Physics 2009-10-28 A. Yu. Boldin , R. A. Sharipov

The notion of concept drift refers to the phenomenon that the data generating distribution changes over time; as a consequence machine learning models may become inaccurate and need adjustment. In this paper we consider the problem of…

Machine Learning · Computer Science 2022-05-16 Fabian Hinder , André Artelt , Valerie Vaquet , Barbara Hammer

Implementing a component-based system in a distributed way so that it ensures some global constraints is a challenging problem. We consider here abstract specifications consisting of a composition of components and a controller given in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-30 Imene Ben-Hafaiedh , Susanne Graf , Hammadi Khairallah

We formalize a new paradigm for optimality of algorithms, that generalizes worst-case optimality based only on input-size to problem-dependent parameters including implicit ones. We re-visit some existing sorting algorithms from this…

Data Structures and Algorithms · Computer Science 2025-11-11 Sandeep Sen

We consider training and testing on mixture distributions with different training and test proportions. We show that in many settings, and in some sense generically, distribution shift can be beneficial, and test performance can improve due…

Machine Learning · Computer Science 2025-11-11 Marko Medvedev , Kaifeng Lyu , Zhiyuan Li , Nathan Srebro

In this work we study a constrained monotone inclusion involving the normal cone to a closed vector subspace and a priori information on primal solutions. We model this information by imposing that solutions belongs to the fixed point set…

Optimization and Control · Mathematics 2021-11-02 Luis Briceño-Arias , Julio Deride , Sergio López-Rivera , Francisco J. Silva

This study investigates component wise estimation of ordered variances of scale mixture of two normal distributions. For this study two special loss functions are considered namely squared error loss function and entropy loss function. We…

Statistics Theory · Mathematics 2026-01-28 Shrajal Bajpai , Lakshmi Kanta Patra

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

The paper presents some distributional properties of logistic order statistics subject to independent exponential one-sided and two-sided shifts. Utilizing these properties, we extend several known results and obtain some new…

Probability · Mathematics 2011-12-20 M. Ahsanullah , George P. Yanev , Constantin Onica

Many researchers have identified distribution shift as a likely contributor to the reproducibility crisis in behavioral and biomedical sciences. The idea is that if treatment effects vary across individual characteristics and experimental…

Applications · Statistics 2023-09-06 Ying Jin , Kevin Guo , Dominik Rothenhäusler

Posterior drift refers to changes in the relationship between responses and covariates while the distributions of the covariates remain unchanged. In this work, we explore functional linear regression under posterior drift with transfer…

Methodology · Statistics 2024-12-20 Xiaoyu Hu , Zhenhua Lin

While previous distribution shift detection approaches can identify if a shift has occurred, these approaches cannot localize which specific features have caused a distribution shift -- a critical step in diagnosing or fixing any underlying…

Machine Learning · Computer Science 2021-07-16 Sean Kulinski , Saurabh Bagchi , David I. Inouye