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We study the classical Election problem in anonymous net- works, where solutions can rely on the use of random bits, which may be either shared or unshared among nodes. We provide a complete char- acterization of the conditions under which…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Jérémie Chalopin , Emmanuel Godard

People employ their knowledge to recognize things. This paper is concerned with how to measure people's knowledge for recognition and how it changes. The discussion is based on three assumptions. Firstly, we construct two evolution process…

Theoretical Economics · Economics 2018-11-16 Fujun Hou

We propose a definite meaning to the concepts of "experiment", "measurement" and "event" in the event-enhanced formalism of quantum theory. A minimal piecewise deterministic process is given that can be used for a computer simulation of…

High Energy Physics - Theory · Physics 2016-09-06 A. Jadczyk

Commonsense knowledge graph reasoning(CKGR) is the task of predicting a missing entity given one existing and the relation in a commonsense knowledge graph (CKG). Existing methods can be classified into two categories generation method and…

Computation and Language · Computer Science 2020-08-14 Cunxiang Wang , Jinhang Wu , Luxin Liu , Yue Zhang

Existing logical models do not fairly represent epistemic situations with fallible justifications, e.g., Russell's Prime Minister example, though such scenarios have long been at the center of epistemic studies. We introduce justification…

Logic in Computer Science · Computer Science 2017-03-28 Sergei Artemov

Prior work has proposed effective methods to learn event representations that can capture syntactic and semantic information over text corpus, demonstrating their effectiveness for downstream tasks such as script event prediction. On the…

Artificial Intelligence · Computer Science 2020-06-25 Xiao Ding , Kuo Liao , Ting Liu , Zhongyang Li , Junwen Duan

We introduce a new model of collective decision making, when a global decision needs to be made but the parties only possess partial information, and are unwilling (or unable) to first create a globalcomposite of their local views. Our…

Social and Information Networks · Computer Science 2012-04-18 Subramanian Ramamoorthy , András Z. Salamon , Rahul Santhanam

Humans are able to conceive physical reality by jointly learning different facets thereof. To every pair of notions related to a perceived reality may correspond a mutual relation, which is a notion on its own, but one-level higher. Thus,…

Artificial Intelligence · Computer Science 2019-08-19 Luka Nenadović , Vladimir Prelovac

This paper considers the problem of inference after ranking. In our setting, we are interested in any population whose rank according to some random quantity, such as an estimated treatment effect, a measure of value-added, or benefit (net…

Econometrics · Economics 2026-01-06 Andreas Petrou-Zeniou , Azeem M. Shaikh

The enumeration degrees of sets of natural numbers can be identified with the degrees of difficulty of enumerating neighborhood bases of points in a universal second-countable $T_0$-space (e.g. the $\omega$-power of the Sierpi\'nski space).…

General Topology · Mathematics 2020-09-18 Takayuki Kihara , Keng Meng Ng , Arno Pauly

Over time, there have hen refinements in the way that probability distributions are used for representing beliefs. Models which rely on single probability distributions depict a complete ordering among the propositions of interest, yet…

Artificial Intelligence · Computer Science 2013-02-28 Paul Snow

Within the setting of rare event modelling, the method of level sets allows us to define an equivalence relation over rare events with distinct rates of entropy production. This method allows us to clarify the relation between the empirical…

General Mathematics · Mathematics 2025-05-13 Aidan Rocke

In a real-world setting, visual recognition systems can be brought to make predictions for images belonging to previously unknown class labels. In order to make semantically meaningful predictions for such inputs, we propose a two-step…

Machine Learning · Computer Science 2017-08-29 Vincent P. A. Lonij , Ambrish Rawat , Maria-Irina Nicolae

Common-sense physical reasoning is an essential ingredient for any intelligent agent operating in the real-world. For example, it can be used to simulate the environment, or to infer the state of parts of the world that are currently…

Machine Learning · Computer Science 2018-03-01 Sjoerd van Steenkiste , Michael Chang , Klaus Greff , Jürgen Schmidhuber

When we use the wisdom of the crowds, we usually rank the answers according to their popularity, especially when we cannot verify the answers. However, this can be very dangerous when the majority make systematic mistakes. A fundamental…

Computer Science and Game Theory · Computer Science 2024-06-10 Yuqing Kong , Yunqi Li , Yubo Zhang , Zhihuan Huang , Jinzhao Wu

The process of cognition is analysed to adjust the set theory to physical description. Postulates and basic definitions are revised. The specific sets of predicates, called presets, corresponding to the physical objects identified by an…

General Physics · Physics 2015-05-13 Andrey V. Novikov-Borodin

Models of computation operating over the real numbers and computing a larger class of functions compared to the class of general recursive functions invariably introduce a non-finite element of infinite information encoded in an arbitrary…

Computational Complexity · Computer Science 2010-12-20 Hector Zenil

Semantic memory is the subsystem of human memory that stores knowledge of concepts or meanings, as opposed to life specific experiences. The organization of concepts within semantic memory can be understood as a semantic network, where the…

Cognitive imagination is a type of imagination that plays a key role in human thinking. It is not a ``picture-in-the-head'' imagination. It is a faculty to mentally visualize coherent and holistic systems of concepts and causal links that…

Artificial Intelligence · Computer Science 2025-08-11 Evgenii E. Vityaev , Andrei Mantsivoda

Progress in understanding expert performance is limited by the scarcity of quantitative data on long-term knowledge acquisition and deployment. Here we use the Rubik's Cube as a cognitive model system existing at the intersection of puzzle…

Artificial Intelligence · Computer Science 2025-11-25 David Krakauer , Gülce Kardeş , Joshua Grochow