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Incorporating symmetries into the numerical solution of differential equations has been a mainstay of research over the last 40 years, however, one aspect is less known and under-utilised: discretisations of partial differential equations…

数值分析 · 数学 2025-10-16 Sheehan Olver

While modern multivariate forecasters such as Transformers and GNNs achieve strong benchmark performance, they often suffer from systematic errors at specific variables or horizons and, critically, lack guarantees against performance…

机器学习 · 计算机科学 2026-01-05 Jianxiang Xie , Yuncheng Hua , Mingyue Cheng , Flora Salim , Hao Xue

Diffusion models have made remarkable progress in solving various inverse problems, attributing to the generative modeling capability of the data manifold. Posterior sampling from the conditional score function enable the precious data…

计算机视觉与模式识别 · 计算机科学 2024-07-16 Jinghao Zhang , Zizheng Yang , Qi Zhu , Feng Zhao

Configurations are necklaces with prescribed numbers of red and black beads. Among all possible configurations, the regular one plays an important role in many applications. In this paper, several aspects of regular configurations are…

组合数学 · 数学 2007-10-02 Taoyang Wu

Based on the weighted and shifted Gr\"{u}nwald difference (WSGD) operators [24], we further construct the compact finite difference discretizations for the fractional operators. Then the discretization schemes are used to approximate the…

数值分析 · 数学 2014-01-30 Han Zhou , WenYi Tian , Weihua Deng

We present a general-order spin-free formulation of the single-reference closed-shell coupled-cluster method. We show that the working equations of a fully biorthogonal contravariant projection formulation of the residual equations, as…

化学物理 · 物理学 2018-05-03 Cong Wang , Gerald Knizia

The (conditional or unconditional) distribution of the continuous scan statistic in a one-dimensional Poisson process may be approximated by that of a discrete analogue via time discretization (to be referred to as the discrete…

概率论 · 数学 2016-02-09 Yi-Ching Yao , Daniel Wei-Chung Miao , Xenos Chang-Shuo Lin

Existing works typically treat cross-domain semantic segmentation (CDSS) as a data distribution mismatch problem and focus on aligning the marginal distribution or conditional distribution. However, the label shift issue is unfortunately…

计算机视觉与模式识别 · 计算机科学 2022-04-13 Yahao Liu , Jinhong Deng , Jiale Tao , Tong Chu , Lixin Duan , Wen Li

Consider a distributed coding for computing problem with constant decoding locality, i.e., with a vanishing error probability, any single sample of the function can be approximately recovered by probing only constant number of compressed…

信息论 · 计算机科学 2024-03-01 Deheng Yuan , Tao Guo , Zhongyi Huang , Shi Jin

Iterative clustering algorithms help us to learn the insights behind the data. Unfortunately, this may allow adversaries to infer the privacy of individuals with some background knowledge. In the worst case, the adversaries know the…

密码学与安全 · 计算机科学 2022-04-05 Zhigang Lu , Hong Shen

In this paper, we study the covariance steering (CS) problem for discrete-time linear systems subject to multiplicative and additive noise. Specifically, we consider two variants of the so-called CS problem. The goal of the first problem,…

最优化与控制 · 数学 2022-10-05 Isin M. Balci , Efstathios Bakolas

Stern's diatomic sequence is a well-studied and simply defined sequence with many fascinating characteristics. The binary signed-digit (BSD) representation of integers is used widely in efficient computation, coding theory and other…

数论 · 数学 2021-08-31 Laura Monroe

Diffusion language models (DLMs) offer a structural alternative to autoregressive generation: denoising can update tokens in arbitrary orders or in parallel rather than along a fixed left-to-right chain. In practice, fast DLM decoding…

机器学习 · 计算机科学 2026-05-12 Jeonseong Kim

We describe a seriation algorithm for ranking a set of items given pairwise comparisons between these items. Intuitively, the algorithm assigns similar rankings to items that compare similarly with all others. It does so by constructing a…

机器学习 · 计算机科学 2016-03-11 Fajwel Fogel , Alexandre d'Aspremont , Milan Vojnovic

We study the exact and optimal repair of multiple failures in codes for distributed storage. More particularly, we examine the use of interference alignment to build exact scalar minimum storage coordinated regenerating codes (MSCR). We…

信息论 · 计算机科学 2012-02-03 Nicolas Le Scouarnec

Motivated by a class of applied problems arising from physical layer based security in a digital communication system, in particular, by a secrecy sum-rate maximization problem, this paper studies a nonsmooth, difference-of-convex (dc)…

最优化与控制 · 数学 2015-11-06 Jong-Shi Pang , Meisam Razaviyayn , Alberth Alvarado

We introduce Conflict-Aware Replicated Data Types (CARDs). CARDs are significantly more expressive than Conflict-free Replicated Data Types (CRDTs) as they support operations that can conflict with each other. Introducing conflicting…

分布式、并行与集群计算 · 计算机科学 2018-09-27 Nicholas V. Lewchenko , Arjun Radhakrishna , Akash Gaonkar , Pavol Černý

Deep learning (DL)-based methods have recently shown great promise in bitemporal change detection (CD). Existing discriminative methods based on Convolutional Neural Networks (CNNs) and Transformers rely on discriminative representation…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Yihan Wen , Xianping Ma , Xiaokang Zhang , Man-On Pun

Contrastive Reinforcement Learning (CRL) provides a promising framework for extracting useful structured representations from unlabeled interactions. By pulling together state-action pairs and their corresponding future states, while…

机器人学 · 计算机科学 2025-07-23 Arsh Tangri , Nichols Crawford Taylor , Haojie Huang , Robert Platt

Deep neural networks for survival prediction outper-form classical approaches in discrimination, which is the ordering of patients according to their time-of-event. Conversely, classical approaches like the Cox Proportional Hazards model…

机器学习 · 计算机科学 2022-09-01 Patrick Fuhlert , Anne Ernst , Esther Dietrich , Fabian Westhaeusser , Karin Kloiber , Stefan Bonn