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Stochastic simulation models are generative models that mimic complex systems to help with decision-making. The reliability of these models heavily depends on well-calibrated input model parameters. However, in many practical scenarios,…

统计方法学 · 统计学 2024-11-11 Ziwei Su , Diego Klabjan

According to the math tea argument, there must be real numbers that we cannot describe or define, because there are uncountably many real numbers, but only countably many definitions. And yet, the existence of pointwise-definable models of…

逻辑 · 数学 2024-04-09 Joel David Hamkins

We introduce Tiered Sampling, a novel technique for approximate counting sparse motifs in massive graphs whose edges are observed in a stream. Our technique requires only a single pass on the data and uses a memory of fixed size $M$, which…

数据结构与算法 · 计算机科学 2017-10-06 Lorenzo De Stefani , Erisa Terolli , Eli Upfal

We study distributed algorithms for some fundamental problems in data summarization. Given a communication graph $G$ of $n$ nodes each of which may hold a value initially, we focus on computing $\sum_{i=1}^N g(f_i)$, where $f_i$ is the…

数据结构与算法 · 计算机科学 2019-08-07 Hsin-Hao Su , Hoa T. Vu

Consider updates arriving online in which the $t$th input is $(i_t,d_t)$, where $i_t$'s are thought of as IDs of users. Informally, a randomized function $f$ is {\em differentially private} with respect to the IDs if the probability…

密码学与安全 · 计算机科学 2010-09-09 Darakhshan Mir , S. Muthukrishnan , Aleksandar Nikolov , Rebecca N. Wright

We present an efficient finite difference method for the computation of parameter sensitivities that is applicable to a wide class of continuous time Markov chain models. The estimator for the method is constructed by coupling the perturbed…

数值分析 · 数学 2012-05-14 David F. Anderson

We introduce a framework for automatic differentiation with weighted finite-state transducers (WFSTs) allowing them to be used dynamically at training time. Through the separation of graphs from operations on graphs, this framework enables…

机器学习 · 计算机科学 2020-10-05 Awni Hannun , Vineel Pratap , Jacob Kahn , Wei-Ning Hsu

Heavy-tailed distributions naturally occur in many real life problems. Unfortunately, it is typically not possible to compute inference in closed-form in graphical models which involve such heavy-tailed distributions. In this work, we…

机器学习 · 计算机科学 2011-03-22 Danny Bickson , Carlos Guestrin

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based…

系统与控制 · 电气工程与系统科学 2023-04-18 Jakub Matousek , Jindrich Dunik , Marek Brandner , Chan Gook Park , Yeongkwon Choe

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

密码学与安全 · 计算机科学 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen

Motivated by earlier results on universal randomized guessing, we consider an individual-sequence approach to the guessing problem: in this setting, the goal is to guess a secret, individual (deterministic) vector $x^n=(x_1,\ldots,x_n)$, by…

信息论 · 计算机科学 2019-06-27 Neri Merhav

We present PPCEF, a novel method for generating probabilistically plausible counterfactual explanations (CFs). PPCEF advances beyond existing methods by combining a probabilistic formulation that leverages the data distribution with the…

机器学习 · 计算机科学 2025-12-16 Patryk Wielopolski , Oleksii Furman , Jerzy Stefanowski , Maciej Zięba

Density deconvolution deals with the estimation of the probability density function $f$ of a random signal from $n\geq1$ data observed with independent and known additive random noise. This is a classical problem in statistics, for which…

统计方法学 · 统计学 2024-12-16 Stefano Favaro , Sandra Fortini

Deep learning has proven to be important for CT image denoising. However, such models are usually trained under supervision, requiring paired data that may be difficult to obtain in practice. Diffusion models offer unsupervised means of…

Classical and new numerical schemes are generated using evolutionary computing. Differential Evolution is used to find the coefficients of finite difference approximations of function derivatives, and of single and multi-step integration…

神经与进化计算 · 计算机科学 2014-01-02 C. D. Erdbrink , V. V. Krzhizhanovskaya , P. M. A. Sloot

Consider a randomized algorithm that draws samples exactly from a distribution using recursion. Such an algorithm is called a perfect simulation, and here a variety of methods for building this type of algorithm are shown to derive from the…

数据结构与算法 · 计算机科学 2019-07-17 Mark Huber

We propose a new method, that we coined the ``morphism-trick'', to integrate custom implementations of vector-Jacobian products in automatic differentiation softwares, applicable to a wide range of semiring-based computations. Our approach…

形式语言与自动机理论 · 计算机科学 2026-02-16 Lucas Ondel Yang , Tina Raissi , Martin Kocour , Pablo Riera , Caio Corro

This paper addresses the issue of predicting separated flows with Reynolds-averaged Navier-Stokes (RANS) turbulence models, which are essential for many engineering tasks. Traditional RANS models usually struggle with this task, so recent…

流体动力学 · 物理学 2024-11-15 Chenyu Wu , Shaoguang Zhang , Yufei Zhang

This paper describes a differentially private post-processing algorithm for learning fair regressors satisfying statistical parity, addressing privacy concerns of machine learning models trained on sensitive data, as well as fairness…

机器学习 · 计算机科学 2024-05-08 Ruicheng Xian , Qiaobo Li , Gautam Kamath , Han Zhao

Consistency models imitate the multi-step sampling of score-based diffusion in a single forward pass of a neural network. They can be learned in two ways: consistency distillation and consistency training. The former relies on the true…