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Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

While the inverse probability of treatment weighting (IPTW) is a commonly used approach for treatment comparisons in observational data, the resulting estimates may be subject to bias and excessively large variance when there is lack of…

Methodology · Statistics 2024-02-13 Zhiqiang Cao , Lama Ghazi , Claudia Mastrogiacomo , Laura Forastiere , F. Perry Wilson , Fan Li

The notion of weighted Renyi's entropy for truncated random variables has recently been proposed in the information-theoretic literature. In this paper, we introduce a generalized measure of it for double truncated distribution, namely…

Statistics Theory · Mathematics 2020-04-10 Shivangi Singh , Chanchal Kundu

Consensus strategies find a variety of applications in distributed coordination and decision making in multi-agent systems. In particular, average consensus plays a key role in a number of applications and is closely associated with two…

Multiagent Systems · Computer Science 2012-10-17 Themistoklis Charalambous , Christoforos N. Hadjicostis

We consider the problems of weighted constrained sampling and weighted model counting, where we are given a propositional formula and a weight for each world. The first problem consists of sampling worlds with a probability proportional to…

Quantum Physics · Physics 2024-07-19 Fabrizio Riguzzi

There are several ways to establish the asymptotic normality of $L$-statistics, which depend on the choice of the weights-generating function and the cumulative distribution selection of the underlying model. In this study, we focus on…

Statistics Theory · Mathematics 2024-07-23 Chudamani Poudyal

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

Optimization and Control · Mathematics 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

Weighted A* (wA*) is a widely used algorithm for rapidly, but suboptimally, solving planning and search problems. The cost of the solution it produces is guaranteed to be at most W times the optimal solution cost, where W is the weight wA*…

Artificial Intelligence · Computer Science 2023-05-29 Robert C. Holte , Ruben Majadas , Alberto Pozanco , Daniel Borrajo

Cellular automata (CA) is an important modelling paradigm for complex systems. In the design of cellular automata, the most difficult task is to find the transformation rules that describe the temporal evolution or pattern of a modelled…

Cellular Automata and Lattice Gases · Physics 2023-10-03 Lei Kou , Fangfang Zhang , Luobing Chen , Wende Ke , Quande Yuan , Junhe Wan , Zhen Wang

Estimating causal effects from observational data is a central problem in many domains. A general approach is to balance covariates with weights such that the distribution of the data mimics randomization. We present generalized balancing…

Machine Learning · Statistics 2023-10-02 Yoshiaki Kitazawa

In this manuscript we discuss weighted reduced order methods for stochastic partial differential equations. Random inputs (such as forcing terms, equation coefficients, boundary conditions) are considered as parameters of the equations. We…

Numerical Analysis · Mathematics 2023-08-08 Luca Venturi , Davide Torlo , Francesco Ballarin , Gianluigi Rozza

Various members of the class of weighted insurance premiums and risk capital allocation rules have been researched from a number of perspectives. Corresponding formulas in the case of parametric families of distributions have been derived,…

Statistics Theory · Mathematics 2017-10-11 Nadezhda Gribkova , Ričardas Zitikis

We consider distributed optimization problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We develop unbiased parameter averaging methods for randomized second order optimization…

Machine Learning · Statistics 2020-02-18 Burak Bartan , Mert Pilanci

Estimators of parameters of truncated distributions, namely the truncated normal distribution, have been widely studied for a known truncation region. There is also literature for estimating the unknown bounds for known parent…

Computation · Statistics 2026-01-16 Dylan Borchert , Semhar Michael , Christopher Saunders

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

Methodology · Statistics 2021-10-19 Rafael Weißbach , Dominik Wied

Given a large set $U$ where each item $a\in U$ has weight $w(a)$, we want to estimate the total weight $W=\sum_{a\in U} w(a)$ to within factor of $1\pm\varepsilon$ with some constant probability $>1/2$. Since $n=|U|$ is large, we want to do…

Data Structures and Algorithms · Computer Science 2021-10-29 Lorenzo Beretta , Jakub Tětek

In this study, we consider an optimization problem with uncertainty dependent on decision variables, which has recently attracted attention due to its importance in machine learning and pricing applications. In this problem, the gradient of…

Optimization and Control · Mathematics 2024-12-31 Yuya Hikima , Akiko Takeda

Despite the simplicity, stochastic gradient descent (SGD)-like algorithms are successful in training deep neural networks (DNNs). Among various attempts to improve SGD, weight averaging (WA), which averages the weights of multiple models,…

Machine Learning · Computer Science 2023-04-25 Xiaozhe Gu , Zixun Zhang , Yuncheng Jiang , Tao Luo , Ruimao Zhang , Shuguang Cui , Zhen Li

Weight averaging has become a standard technique for enhancing model performance. However, methods such as Stochastic Weight Averaging (SWA) and Latest Weight Averaging (LAWA) often require manually designed procedures to sample from the…

Machine Learning · Computer Science 2025-02-17 Peng Wang , Shengchao Hu , Zerui Tao , Guoxia Wang , Dianhai Yu , Li Shen , Quan Zheng , Dacheng Tao

The primary objective of this paper is to present an approach for recommender systems that can assimilate ranking to the voters or rankers so that recommendation can be made by giving priority to experts suggestion over usual…

Information Retrieval · Computer Science 2021-05-04 Shahab Saquib Sohail , Jamshed Siddiqui , Rashid Ali , S. Hamid Hasan , M. Afshar Alam