Equivalence class (music)
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Latent Variable Models and Networks: Statistical Equivalence and Testability Open
Networks are gaining popularity as an alternative to latent variable models for representing psychological constructs. Whereas latent variable approaches introduce unobserved common causes to explain the relations among observed variables,…
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The Mathematics of Compositional Analysis Open
The term compositional data analysis is historically associated to the approach based on the logratio transformations introduced in the eighties. Two main principles of this methodology are scale invariance and subcompositional coherence. …
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A New Method of Privacy Protection: Random k-Anonymous Open
A new k-anonymous method which is different from traditional k-anonymous was proposed to solve the problem of privacy protection. Specifically, numerical data achieves k-anonymous by adding noises, and categorical data achieves k-anonymous…
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Causal Inference via Algebraic Geometry: Feasibility Tests for Functional Causal Structures with Two Binary Observed Variables Open
We provide a scheme for inferring causal relations from uncontrolled statistical data based on tools from computational algebraic geometry, in particular, the computation of Groebner bases. We focus on causal structures containing just two…
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Emotional Faces in Symbolic Relations: A Happiness Superiority Effect Involving the Equivalence Paradigm Open
The stimulus equivalence paradigm presented operational criteria to identify symbolic functions in observable behaviors. When humans match dissimilar stimuli (e.g., words to pictures), equivalence relations between those stimuli are likely…
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Fundamental relation on m-idempotent hyperrings Open
The γ * -relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R / γ * is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called $\v…
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On Causal Identification under Markov Equivalence Open
In this work, we investigate the problem of computing an experimental distribution from a combination of the observational distribution and a partial qualitative description of the causal structure of the domain under investigation. This d…
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Extending greedy feature selection algorithms to multiple solutions Open
Most feature selection methods identify only a single solution. This is acceptable for predictive purposes, but is not sufficient for knowledge discovery if multiple solutions exist. We propose a strategy to extend a class of greedy method…
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Market Basket Analysis With Equivalence Class Transformation Algorithm (ECLAT) For Inventory Management Using Economic Order Quantity (EOQ) Open
212 Mart is a retail that sells basic needs with guaranteed quality products, prices and a comfortable atmosphere.But over time, new competitors emerged.Therefore, strategies are needed to maintain the Retail business.There are problems in…
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Weakly precomplete computably enumerable equivalence relations Open
Using computable reducibility ⩽ on equivalence relations, we investigate weakly precomplete ceers (a “ceer” is a computably enumerable equivalence relation on the natural numbers), and we compare their class with the more restricted class …
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A fractional Korn-type inequality Open
We show that a class of spaces of vector fields whose semi-norms involve the magnitude of 'directional' difference quotients is in fact equivalent to the class of fractional Sobolev spaces. The equivalence can be considered a Korn-type cha…
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K-Knuth Equivalence for Increasing Tableaux Open
A $K$-theoretic analogue of RSK insertion and the Knuth equivalence relations were introduced by Buch, Kresch, Shimozono, Tamvakis, and Yong (2006) and Buch and Samuel (2013), respectively. The resulting $K$-Knuth equivalence relations on …
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The Value Equivalence Principle for Model-Based Reinforcement Learning Open
Learning models of the environment from data is often viewed as an essential component to building intelligent reinforcement learning (RL) agents. The common practice is to separate the learning of the model from its use, by constructing a…
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Manifold Learning in Quotient Spaces Open
International audience
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Feature Genes Selection Using Fuzzy Rough Uncertainty Metric for Tumor Diagnosis Open
To select more effective feature genes, many existing algorithms focus on the selection and study of evaluation methods for feature genes, ignoring the accurate mapping of original information in data processing. Therefore, for solving thi…
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Comparing Voting by Committees According to Their Manipulability Open
We consider the class of voting by committees to be used by a society to collectively choose a subset from a given set of objects. We offer a simple criterion to compare two voting by committees without dummy agents according to their mani…
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Characterizing and Learning Equivalence Classes of Causal DAGs under Interventions Open
Yang, Karren D. et al. "Characterizing and learning equivalence classes of causal DAGs under interventions." Proceedings of the 35th International Conference on Machine Learning, July 2018, Stockholm, Sweden, Proceedings of Machine Learnin…
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Linearly Self-Equivalent APN Permutations in Small Dimension Open
All almost perfect nonlinear (APN) permutations that we know to date admit a special kind of linear self-equivalence, i.e., there exists a permutation $G$ in their CCZ-equivalence class and two linear permutations $A$ and $B$, such that $G…
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THE COMPLEXITY OF INDEX SETS OF CLASSES OF COMPUTABLY ENUMERABLE EQUIVALENCE RELATIONS Open
Let $ \le _c $ be computable the reducibility on computably enumerable equivalence relations (or ceers). We show that for every ceer R with infinitely many equivalence classes, the index sets $\left\{ {i:R_i \le _c R} \right\}$ (with R non…
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Hyperhomographies on Krasner Hyperfields Open
In this paper, we introduce generalized homographic transformations as hyperhomographies over Krasner hyperfields.These particular algebraic hyperstructues are quotient structures of classical fields modulo normal groups. Besides, we defin…
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A descriptive analysis of baseline and equivalence‐class performances under many‐to‐one and one‐to‐many structures Open
The purpose of the present experiment was to describe responding as a function of One‐to‐Many (OTM) and Many‐to‐One (MTO) training structures and identify baseline performances correlated with the accuracy level in tests for equivalence cl…
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A Neurocomputational Approach to Trained and Transitive Relations in Equivalence Classes Open
A stimulus class can be composed of perceptually different but functionally equivalent stimuli. The relations between the stimuli that are grouped in a class can be learned or derived from other stimulus relations. If stimulus A is equival…
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Gauge-Underdetermination and Shades of Locality in the Aharonov–Bohm Effect Open
I address the view that the classical electromagnetic potentials are shown by the Aharonov–Bohm effect to be physically real (which I dub: ‘the potentials view’). I give a historico-philosophical presentation of this view and assess its pr…
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Formulas for Counting the Sizes of Markov Equivalence Classes of Directed Acyclic Graphs Open
The sizes of Markov equivalence classes of directed acyclic graphs play important roles in measuring the uncertainty and complexity in causal learning. A Markov equivalence class can be represented by an essential graph and its undirected …
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A Developmental Analysis of Children’s Equivalence-class Formation and Disruption Open
Developmental differences in children’s conditional discrimination learning, equivalenceclass formation, and equivalence-class disruption were investigated in two experiments. In Experiment 1, children between 2 and 9 years of age demonstr…
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Analyse géométrique des équations différentielles-algébriques : linéaires, non-linéaires et linéarisables Open
In the first part of this thesis, we study linear differential-algebraic equations (shortly, DAEs) and linear control systems given by DAEs (shortly, DAECSs). The discussed problems and obtained results are summarized as follows. 1. Geomet…
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Procedural parameters in equivalence‐based instruction with individuals diagnosed with autism: A call for systematic research Open
Equivalence‐based instruction (EBI) is an efficient and efficacious methodology to establish equivalence classes that has been used to teach various academic skills to neurotypical adults. Although previous reviews confirmed the utility of…
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Symmetry reduction in CSP model checking Open
We present an extension of FDR, the model checker for the process algebra CSP, that exploits symmetry to reduce the size of the state space searched. We define what it means for a process to be symmetric with respect to a group of permutat…
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Capybara: equivalence ClAss enumeration of coPhylogenY event-BAsed ReconciliAtions Open
Motivation Phylogenetic tree reconciliation is the method of choice in analyzing host-symbiont systems. Despite the many reconciliation tools that have been proposed in the literature, two main issues remain unresolved: (i) listing subopti…
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Further enumeration results concerning a recent equivalence of restricted inversion sequences Open
Let asc and desc denote respectively the statistics recording the number of ascents or descents in a sequence having non-negative integer entries. In a recent paper by Andrews and Chern, it was shown that the distribution of asc on the inv…