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Numerical integration over the implicitly defined domains is challenging due to topological variances of implicit functions. In this paper, we use interval arithmetic to identify the boundary of the integration domain exactly, thus getting…

数值分析 · 数学 2024-12-20 Tianhui Yang , Ammar Qarariyah , Hongmei Kang , Jiansong Deng

A domain analysis & description calculus is introduced. It is shown to alleviate the issue of implicit semantics. The claim is made that domain descriptions, whether informal, or as also here, formal, amount to an explicit semantics for…

编程语言 · 计算机科学 2018-05-16 Dines Bjørner

Representations in the auditory cortex might be based on mechanisms similar to the visual ventral stream; modules for building invariance to transformations and multiple layers for compositionality and selectivity. In this paper we propose…

Geometric lower and upper estimates are obtained for invariant metrics on $\Bbb C$-convex domains containing no complex lines.

复变函数 · 数学 2012-09-03 Nikolai Nikolov , Peter Pflug , Wlodzimierz Zwonek

Model transformation tools assist system designers by reducing the labor--intensive task of creating and updating models of various aspects of systems, ensuring that modeling assumptions remain consistent across every model of a system, and…

系统与控制 · 计算机科学 2019-07-02 Natasha Jarus , Sahra Sedigh Sarvestani , Ali Hurson

Deep learning models heavily rely on large scale annotated datasets for training. Unfortunately, datasets cannot capture the infinite variability of the real world, thus neural networks are inherently limited by the restricted visual and…

计算机视觉与模式识别 · 计算机科学 2020-12-17 Massimiliano Mancini

While deep learning has led to significant advances in visual recognition over the past few years, such advances often require a lot of annotated data. Unsupervised domain adaptation has emerged as an alternative approach that does not…

计算机视觉与模式识别 · 计算机科学 2018-12-03 Yunhan Zhao , Haider Ali , Rene Vidal

In our times, when the world is increasingly becoming more dependent on software programs, writing bug-free, correct programs is crucial. Program verification based on formal methods can guarantee this by detecting run-time errors in…

编程语言 · 计算机科学 2024-03-21 Rajendra Kumar Solanki

We introduce a new nameless representation of lambda terms inspired by ordered logic. At a lambda abstraction, number and relative position of all occurrences of the bound variable are stored, and application carries the additional…

计算机科学中的逻辑 · 计算机科学 2011-11-02 Andreas Abel , Nicolai Kraus

Learning domain-invariant representations has become a popular approach to unsupervised domain adaptation and is often justified by invoking a particular suite of theoretical results. We argue that there are two significant flaws in such…

机器学习 · 统计学 2019-07-05 Fredrik D. Johansson , David Sontag , Rajesh Ranganath

To put static program analysis at the fingertips of the software developer, we propose a framework for interactive abstract interpretation. While providing sound analysis results, abstract interpretation in general can be quite costly. To…

编程语言 · 计算机科学 2022-11-28 Julian Erhard , Simmo Saan , Sarah Tilscher , Michael Schwarz , Karoliine Holter , Vesal Vojdani , Helmut Seidl

Analyzing nodal domains is a way to discern the structure of eigenvectors of operators on a graph. We give a new definition extending the concept of nodal domains to arbitrary signed graphs, and therefore to arbitrary symmetric matrices. We…

数学物理 · 物理学 2023-10-25 Theo McKenzie , John Urschel

Learning in non-stationary environments is one of the biggest challenges in machine learning. Non-stationarity can be caused by either task drift, i.e., the drift in the conditional distribution of labels given the input data, or the domain…

机器学习 · 计算机科学 2020-03-16 Qicheng Lao , Xiang Jiang , Mohammad Havaei , Yoshua Bengio

The technique of abstracting abstract machines (AAM) provides a systematic approach for deriving computable approximations of evaluators that are easily proved sound. This article contributes a complementary step-by-step process for…

编程语言 · 计算机科学 2013-07-25 J. Ian Johnson , Nicholas Labich , Matthew Might , David Van Horn

We first strictly expressed the basic notions and research methods of abstract operators, which systematically expounded the main results of abstract operator theory. By combining abstract operators with the Laplace transform, we can easily…

偏微分方程分析 · 数学 2016-07-05 Guang-Qing Bi , Yue-Kai Bi

This paper studies zero-shot domain adaptation where each domain is indexed on a multi-dimensional array, and we only have data from a small subset of domains. Our goal is to produce predictors that perform well on \emph{unseen} domains. We…

机器学习 · 计算机科学 2021-06-15 Zhili Feng , Shaobo Han , Simon S. Du

Domain generalization aims at training machine learning models to perform robustly across different and unseen domains. Several recent methods use multiple datasets to train models to extract domain-invariant features, hoping to generalize…

机器学习 · 计算机科学 2021-05-19 Mattia Segu , Alessio Tonioni , Federico Tombari

Domain Generalization (DG) is a fundamental challenge for machine learning models, which aims to improve model generalization on various domains. Previous methods focus on generating domain invariant features from various source domains.…

计算机视觉与模式识别 · 计算机科学 2023-09-22 Daoan Zhang , Mingkai Chen , Chenming Li , Lingyun Huang , Jianguo Zhang

We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new…

计算机科学中的逻辑 · 计算机科学 2015-03-20 Ahmed Rezine

Real-world data distributions often shift continuously across multiple latent factors such as time, geography, and socioeconomic contexts. However, existing domain generalization approaches typically treat domains as discrete or as evolving…

机器学习 · 统计学 2025-10-30 Zekun Cai , Yiheng Yao , Guangji Bai , Renhe Jiang , Xuan Song , Ryosuke Shibasaki , Liang Zhao