We present an algorithm for distributed networks to efficiently find a small vertex cut in the CONGEST model. Given a positive integer $κ$, our algorithm can, with high probability, either find $κ$ vertices whose removal disconnects the network or...
A recent line of work on VC set systems in minor-free (undirected) graphs, starting from Li and Parter, who constructed a new VC set system for planar graphs, has given surprising algorithmic results. In this work, we initialize a more systematic stu...
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Given a compact Polish space $E$ and the hyperspace of its compact subsets $\mathcal{K}(E)$, we consider the class of $G_δ$ $σ$-ideals of compact subsets of $E$ that can be represented via a compact subset of $\mathcal{K}(E)$. If we extend such an...
We introduce the notion of a Mahonian pair. Consider the set, P^*, of all words having the positive integers as alphabet. Given finite subsets S,T of P^*, we say that (S,T) is a Mahonian pair if the distribution of the major index, maj, over S is the...
A dynamic Boltzmann machine (DyBM) has been proposed as a model of a spiking neural network, and its learning rule of maximizing the log-likelihood of given time-series has been shown to exhibit key properties of spike-timing dependent plasticity (ST...
In this paper, we describe our approach for the Podcast Summarisation challenge in TREC 2020. Given a podcast episode with its transcription, the goal is to generate a summary that captures the most important information in the content. Our approach...
Women are talking about how they go hiking with men who just keep going their own speed and leave them behind with apparently zero Fs given about their safety. [https://www.yahoo.com/news/articles/...
In medical image diagnosis, identifying the attention region, i.e., the region of interest for which the diagnosis is made, is an important task. Various methods have been developed to automatically identify target regions from given medical images....
Reasoning Video Object Segmentation is a challenging task, aiming at generating a mask sequence from an input video given a complex and implicit text query. While existing works finetune Multimodal Large Language Models (MLLM) for the task, they stil...
In Latin the noun cura had the general sense of “the care, concern, or attention given to something or someone.” It might refer to “medical care or healing.” Christians, however, used the word chiefly in …
In one perspective, the main theme of this research revolves around the inverse problem in the context of general rough sets that concerns the existence of rough basis for given approximations in a context. Granular operator spaces and variants were...
We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called "optimistic" and "pessimistic" multigranular approximation systems are given. We also consider the ordered sets of rough sets determined by these ap...
We prove that optimal traffic plans for the mailing problem in $\mathbb{R}^d$ are stable with respect to variations of the given coupling, above the critical exponent $α=1-1/d$, thus solving an open problem stated in the book "Optimal transportation...
I want to hear it! Best state license plate debate. These ones pictured are primary plates- please include any others that you like from any given state and add some pics if possible! Some might be ou...
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This paper is based on a talk given by the author in October, 1997 at a conference at Columbia University in celebration of Hyman Bass's 65th birthday. The paper details some of the history of Gorenstein rings and their uses....
Jakub ... Look up Jakub in Wiktionary, the free dictionary. Jakub is a masculine given name. It is the Polish, Belarusian, Czech, and Slovak form of the name Jacob. [1] In Polish and Czech, the …
Look up Jakub in Wiktionary, the free dictionary. Jakub is a masculine given name. It is the Polish, Belarusian, Czech, and Slovak form of the name Jacob