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We address the issue of how to properly treat, and in a more general setting, the concept of a weak value of a weak measurement in quantum mechanics. We show that for this purpose, one must take in account the effects of the measuring…

量子物理 · 物理学 2009-07-24 A. C. Lobo , C. A. Ribeiro

A large literature has grown up around the proposed use of 'weak measurements' (i.e., unsharp measurements followed by post-selection) to allegedly provide information about hidden ontological features of quantum systems. This paper…

量子物理 · 物理学 2017-05-16 R. E. Kastner

All rational semisimple braided tensor categories are representation categories of weak quasi Hopf algebras. To proof this result we construct for any given category of this kind a weak quasi tensor functor to the category of finite…

q-alg · 数学 2008-02-03 Reinhard Häring

In this paper, we introduce the concept of weak fuzzy linear topology on a fuzzy topological vector space as a generalization of usual weak topology. We prove that this topology consists of all weakly lower semi-continuous fuzzy sets on a…

综合数学 · 数学 2019-10-09 B. Daraby , N. Khosravi , A. Rahimi

In many real-world scenarios, obtaining large amounts of labeled data can be a daunting task. Weakly supervised learning techniques have gained significant attention in recent years as an alternative to traditional supervised learning, as…

Importance weighted variational inference (Burda et al., 2015) uses multiple i.i.d. samples to have a tighter variational lower bound. We believe a joint proposal has the potential of reducing the number of redundant samples, and introduce…

机器学习 · 计算机科学 2019-05-14 Chin-Wei Huang , Kris Sankaran , Eeshan Dhekane , Alexandre Lacoste , Aaron Courville

Weak memory models provide a complex, system-centric semantics for concurrent programs, while transactional memory (TM) provides a simpler, programmer-centric semantics. Both have been studied in detail, but their combined semantics is not…

编程语言 · 计算机科学 2018-04-18 Nathan Chong , Tyler Sorensen , John Wickerson

Weighted automata are non-deterministic automata where the transitions are equipped with weights. They can model quantitative aspects of systems like costs or energy consumption. The value of a run can be computed, for example, as the…

计算机科学中的逻辑 · 计算机科学 2015-06-22 Manfred Droste , Vitaly Perevoshchikov

Weak R-duals, a generalization of R-duals, were recently introduced; for which duality relations were established. In this paper, we consider the problem of characterizing a given frame sequence to be a weak R-dual of a given frame.…

泛函分析 · 数学 2024-08-28 Himanshi Bansal , P. Devaraj , S. Arati

We introduce the notion of weakly associative algebra and its relations with the notion of nonassociative Poisson algebras.

环与代数 · 数学 2020-05-27 Elisabeth Remm

Recently, researches related to unsupervised disentanglement learning with deep generative models have gained substantial popularity. However, without introducing supervision, there is no guarantee that the factors of interest can be…

机器学习 · 计算机科学 2020-03-13 Junxiang Chen , Kayhan Batmanghelich

High-dimensional tensor-valued predictors arise in modern applications, increasingly as learned representations from neural networks. Existing tensor classification methods rely on sparsity or Tucker structures and often lack theoretical…

机器学习 · 计算机科学 2025-12-16 Elynn Chen , Yuefeng Han , Jiayu Li

We consider one of the weakest variants of cost register automata over a tropical semiring, namely copyless cost register automata over $\mathbb{N}$ with updates using $\min$ and increments. We show that this model can simulate, in some…

形式语言与自动机理论 · 计算机科学 2018-04-18 Shaull Almagor , Michaël Cadilhac , Filip Mazowiecki , Guillermo A. Pérez

A weakly equivariant Hopf algebra is a Hopf algebra A with an action of a finite group G up to inner automorphisms. We show that each weakly equivariant Hopf algebra can be replaced by a Morita equivalent algebra B with a strict action of G…

环与代数 · 数学 2012-05-07 Jennifer Maier , Thomas Nikolaus , Christoph Schweigert

Looking at bivariate copulas from the perspective of conditional distributions and considering weak convergence of almost all conditional distributions yields the notion of weak conditional convergence. At first glance, this notion of…

统计理论 · 数学 2020-10-12 Thimo M. Kasper , Sebastian Fuchs , Wolfgang Trutschnig

Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak, allowed us to take a new look at the theory of contact…

微分几何 · 数学 2024-10-11 Vladimir Rovenski

While tensor-based methods excel at Direction-of-Arrival (DOA) estimation, their performance degrades severely with faulty or sparse arrays that violate the required manifold structure. To address this challenge, we propose Tensor…

信息论 · 计算机科学 2026-02-25 Wenlong Wang , Tianyang Zhang , Tailun Dong , Lei Zhang

In the present paper, we define the concept of weak topological conjugacy and we establish sufficient conditions to obtain this kind of topological conjugacy between two limit sets. We use the character of recurrence to obtain the results.

In this paper, we introduce three new iterative methods for finding a common point of the set of fixed points of a symmetric generalized hybrid mapping and the set of solutions of an equilibrium problem in a real Hilbert space. Each method…

最优化与控制 · 数学 2018-05-08 Bui Van Dinh , Nguyen Ngoc Hai , Do Sang Kim

This work considers the problem of estimating the parameters of negative mixture models, i.e. mixture models that possibly involve negative weights. The contributions of this paper are as follows. (i) We show that every rational probability…

机器学习 · 计算机科学 2014-09-22 Guillaume Rabusseau , François Denis