On Principles and Representations for Extended Contextuality

• URL: http://arxiv.org/abs/2410.05723v1
• Date: Tue, 8 Oct 2024 06:39:49 GMT
• Title: On Principles and Representations for Extended Contextuality
• Authors: Matt Jones,
• Abstract summary: Dzhafarov and Kujala: If standard contextuality satisfies some principle that extended contextuality does not, then that principle must be non-substantive' in that it depends on a superficial choice of representation. This paper raises several objections to their argument, including that it neglects how substantive principles change their expression under a change of representation.
• Score: 6.567540943027728
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: There has been recent interest in whether the concept of quantum contextuality can be extended to systems with disturbance or signaling while retaining the essential properties of standard contextuality. Dzhafarov and Kujala (arXiv:2302.11995) offer a provocative argument that the answer is always affirmative: If standard contextuality satisfies some principle that extended contextuality does not, then that principle must be `non-substantive' in that it depends on a superficial choice of representation. Their argument is based on a ``consistification'' procedure that maps all systems to nondisturbing ones and that preserves contextuality. This paper raises several objections to their argument, including that it neglects how substantive principles change their expression under a change of representation, that it begs the question by presuming the principles are based on non-substantive transformations, and that the argument applies universally to arbitrary extensions of contextuality.

Related papers

• A Complexity-Based Theory of Compositionality [53.025566128892066]
  In AI, compositional representations can enable a powerful form of out-of-distribution generalization. Here, we propose a formal definition of compositionality that accounts for and extends our intuitions about compositionality. The definition is conceptually simple, quantitative, grounded in algorithmic information theory, and applicable to any representation.
  arXiv  Detail & Related papers  (2024-10-18T18:37:27Z)
• A Note on an Inferentialist Approach to Resource Semantics [48.65926948745294]
  'Inferentialism' is the view that meaning is given in terms of inferential behaviour. This paper shows how 'inferentialism' enables a versatile and expressive framework for resource semantics.
  arXiv  Detail & Related papers  (2024-05-10T14:13:21Z)
• State-independent all-versus-nothing arguments [1.223779595809275]
  Contextuality is a key feature of quantum information that challenges classical intuitions. This report provides a unified interpretation of contextuality by integrating Kochen-Specker type notions into the state-independent AvN argument.
  arXiv  Detail & Related papers  (2023-11-19T04:08:50Z)
• Phenomenal Yet Puzzling: Testing Inductive Reasoning Capabilities of Language Models with Hypothesis Refinement [92.61557711360652]
  Language models (LMs) often fall short on inductive reasoning, despite achieving impressive success on research benchmarks. We conduct a systematic study of the inductive reasoning capabilities of LMs through iterative hypothesis refinement. We reveal several discrepancies between the inductive reasoning processes of LMs and humans, shedding light on both the potentials and limitations of using LMs in inductive reasoning tasks.
  arXiv  Detail & Related papers  (2023-10-12T17:51:10Z)
• Natural Language Decompositions of Implicit Content Enable Better Text Representations [56.85319224208865]
  We introduce a method for the analysis of text that takes implicitly communicated content explicitly into account. We use a large language model to produce sets of propositions that are inferentially related to the text that has been observed. Our results suggest that modeling the meanings behind observed language, rather than the literal text alone, is a valuable direction for NLP.
  arXiv  Detail & Related papers  (2023-05-23T23:45:20Z)
• Contextuality with disturbance and without: Neither can violate substantive requirements the other satisfies [0.0]
  Contextuality was originally defined only for consistently connected systems of random variables. We show that no such set of requirements is possible, not only for CbD but for all possible CbD-like extensions of contextuality.
  arXiv  Detail & Related papers  (2023-02-23T13:18:11Z)
• On the system loophole of generalized noncontextuality [0.0]
  We introduce the concept of the noncontextuality graph of a prepare-and-measure scenario. We argue that whether or not an experiment is noncontextual is not as absolute as often perceived.
  arXiv  Detail & Related papers  (2022-09-09T18:00:38Z)
• Contents, Contexts, and Basics of Contextuality [0.0]
  This is a non-technical introduction into theory of contextuality. It presents the basics of a theory of contextuality called Contextuality-by-Default (CbD)
  arXiv  Detail & Related papers  (2021-03-14T15:35:54Z)
• Contextuality-by-default for behaviours in compatibility scenarios [0.0]
  We show that the assumption that a physical measurement has to be understood as a contextual collection of random variables is implicit in the compatibility-hypergraph approach to contextuality (CA) We introduce in CA the non-degeneracy condition, which is the analogous of consistent connectedness, and prove that this condition is, in general, weaker than non-disturbance condition. We introduce the idea of extended contextuality for behaviours and prove that a behaviour is non-contextual in the standard sense iff it is non-degenerate and non-contextual in the extended sense.
  arXiv  Detail & Related papers  (2020-08-05T17:54:14Z)
• Aligning Faithful Interpretations with their Social Attribution [58.13152510843004]
  We find that the requirement of model interpretations to be faithful is vague and incomplete. We identify that the problem is a misalignment between the causal chain of decisions (causal attribution) and the attribution of human behavior to the interpretation (social attribution)
  arXiv  Detail & Related papers  (2020-06-01T16:45:38Z)
• Syn-QG: Syntactic and Shallow Semantic Rules for Question Generation [49.671882751569534]
  We develop SynQG, a set of transparent syntactic rules which transform declarative sentences into question-answer pairs. We utilize PropBank argument descriptions and VerbNet state predicates to incorporate shallow semantic content. In order to improve syntactic fluency and eliminate grammatically incorrect questions, we employ back-translation over the output of these syntactic rules.
  arXiv  Detail & Related papers  (2020-04-18T19:57:39Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.