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A number of recent articles argue that the "problem of Bachet"—the problem of finding the most efficient set of standard weights—can shed light on the problem of finding the optimal denominations of coins and bank notes. The present note opposes this view and shows that the two problems are different in a key way. It also argues that finding the optimal denominational structure is a multi-criteria optimization problem, in which the principle of least effort should be given the greatest weight. [ABSTRACT FROM AUTHOR]

People must often wait for days or weeks to receive test results, price quotes, products, etc. Service providers may manage user experience during such in‐process waits using notification systems that inform users when a response is available or inquiry systems that require users to inquire about response availability, thereby imposing prospective memory requirements on users. Based on the prospective memory and wait time literature, we make predictions regarding how response system (notification vs. inquiry) moderates the effects of waits that are shorter or longer than the provider promised on user evaluation of the wait. We find that users of a notification system evaluate a wait more positively and are less sensitive to deviations of actual from promised wait time than are users of an inquiry system. This advantage was more pronounced for a wait that was longer (vs. shorter) than promised. These effects of system and expectation on evaluation were fully mediated by their impact on the cognitive and physical effort of navigating the system. Finally, a week after having experienced a wait, users of an inquiry system who had waited longer (vs. shorter) than promised cooperated less on a follow‐up task, highlighting another downside of using an inquiry system. [ABSTRACT FROM AUTHOR]

Highlights • Entropy is adopted to analyze the diachronic change of English inflections. • Modern English is becoming less inflectionally diversified. • The study offers empirical evidence to linguistic theories and hypotheses. Abstract Researchers have long noticed the phenomenon of inflection decay in the evolution of English, which may be driven by the Principle of Least Effort (Millward and Hayes, 2010; Zipf, 1949). However, most studies in this line of research were based on exemplar-oriented observations while few explored the phenomenon from a quantitative perspective. In addition, it remains unclear whether the trend of inflection decay has continued in Modern English. In the present study, an index named Inflectional Entropy was developed to measure the diachronic change of the inflectional trend of Modern English in the 20th century. A trend of inflection decay in Modern English was found based on experiments on several large-scale corpora. The findings provide quantitative evidence to linguistic theories such as Principle of Least Effort, Language Niche Hypothesis (Lupyan and Dale, 2010), and Principle of Entropy Minimization (Ferrer-i-Cancho, 2018). [ABSTRACT FROM AUTHOR]

The linguist George Kingsley Zipf made a now classic observation about the relationship between a word's length and its frequency; the more frequent a word is, the shorter it tends to be. He claimed that this "Law of Abbreviation" is a universal structural property of language. The Law of Abbreviation has since been documented in a wide range of human languages, and extended to animal communication systems and even computer programming languages. Zipf hypothesised that this universal design feature arises as a result of individuals optimising form-meaning mappings under competing pressures to communicate accurately but also efficiently-his famous Principle of Least Effort. In this study, we use a miniature artificial language learning paradigm to provide direct experimental evidence for this explanatory hypothesis. We show that language users optimise form-meaning mappings only when pressures for accuracy and efficiency both operate during a communicative task, supporting Zipf's conjecture that the Principle of Least Effort can explain this universal feature of word length distributions. [ABSTRACT FROM AUTHOR]

Languages employ different strategies to transmit structural and grammatical information. While, for example, grammatical dependency relationships in sentences are mainly conveyed by the ordering of the words for languages like Mandarin Chinese, or Vietnamese, the word ordering is much less restricted for languages such as Inupiatun or Quechua, as these languages (also) use the internal structure of words (e.g. inflectional morphology) to mark grammatical relationships in a sentence. Based on a quantitative analysis of more than 1,500 unique translations of different books of the Bible in almost 1,200 different languages that are spoken as a native language by approximately 6 billion people (more than 80% of the world population), we present large-scale evidence for a statistical trade-off between the amount of information conveyed by the ordering of words and the amount of information conveyed by internal word structure: languages that rely more strongly on word order information tend to rely less on word structure information and vice versa. Or put differently, if less information is carried within the word, more information has to be spread among words in order to communicate successfully. In addition, we find that–despite differences in the way information is expressed–there is also evidence for a trade-off between different books of the biblical canon that recurs with little variation across languages: the more informative the word order of the book, the less informative its word structure and vice versa. We argue that this might suggest that, on the one hand, languages encode information in very different (but efficient) ways. On the other hand, content-related and stylistic features are statistically encoded in very similar ways. [ABSTRACT FROM AUTHOR]

Successful decision making often requires weighing a given option's costs against its associated benefits, an ability that appears perturbed in virtually every severe mental illness. Animal models of such cost/benefit decision making overwhelmingly implicate mesolimbic dopamine in our willingness to exert effort for a larger reward. Until recently, however, animal models have invariably manipulated the degree of physical effort, whereas human studies of effort have primarily relied on cognitive costs. Dopamine's relationship to cognitive effort has not been directly examined, nor has the relationship between individuals' willingness to expend mental versus physical effort. It is therefore unclear whether willingness to work hard in one domain corresponds to willingness in the other. Here we utilize a rat cognitive effort task (rCET), wherein animals can choose to allocate greater visuospatial attention for a greater reward, and a previously established physical effort-discounting task (EDT) to examine dopaminergic and noradrenergic contributions to effort. The dopamine antagonists eticlopride and SCH23390 each decreased willingness to exert physical effort on the EDT; these drugs had no effect on willingness to exert mental effort for the rCET. Preference for the high effort option correlated across the two tasks, although this effect was transient. These results suggest that dopamine is only minimally involved in cost/benefit decision making with cognitive effort costs. The constructs of mental and physical effort may therefore comprise overlapping, but distinct, circuitry, and therapeutic interventions that prove efficacious in one effort domain may not be beneficial in another. [ABSTRACT FROM AUTHOR]

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Online communities bring together individuals with shared interest in joint action or sustained interaction. Power law distributions of user popularity appear ubiquitous in online communities but their formation mechanisms are not well understood. This study tests for the emergence of power law distributions via the mechanisms of preferential attachment, least efforts, direct reciprocity, and indirect reciprocity. Preferential attachment, where new entrants favor connections with already popular participants, is the predominant explanation suggested by prior literature. Yet, the attribution of preferential attachment or any other mechanism as a single unitary reason for the emergence of power law distributions runs contrary to the social nature of online communities and does not account for diversity of participants’ motivation. Agent-based modeling is used to test if a single social mechanism alone or multiple mechanisms together can generate power law distributions observed in online communities. Data from 28 online communities is used to calibrate, validate, and analyze the simulation. Simulated communication networks are randomly generated according to parameters for each hypothesis. The fit of the power law distribution in the model testing subset is then compared against the fit for these simulated networks. The major finding is that, in contrast to research in more general network settings, neither preferential attachment nor any other single mechanism alone generates a power law distribution. Instead, a blended model of preferential attachment with other social network formation mechanisms was most consistent with power law distributions seen in online communities. This suggests the need to move away from stylized explanations of network emergence that rely on single theories toward more highly socialized and multitheoretic explanations of community development. [ABSTRACT FROM AUTHOR]

Pedestrian crowds often have been modeled as many-particle systems, usually using computer models known as multiagent simulations. The key challenge in modeling crowds is to develop rules that guide how the particles or agents interact with each other in a way that faithfully reproduces paths and behaviors commonly seen in real human crowds. Here, we propose a simple and intuitive formulation of these rules based on biomechanical measurements and the principle of least effort. We present a constrained optimization method to compute collision-free paths of minimum caloric energy for each agent, from which collective crowd behaviors can be reproduced. We show that our method reproduces common crowd phenomena, such as arching and self-organization into lanes. We also validate the flow rates and paths produced by our method and compare them to those of real-world crowd trajectories. [ABSTRACT FROM AUTHOR]

Abstract: Relevance theory (RT) holds that the relevance of communications is determined by their cognitive effects and the effort needed to process them. The evidence is usually drawn from dialogues between speakers and hearers. Self-communing scholars and scientists afford a new source of real-world evidence as they cite various works over time. Authors cite works with the intention of strengthening their claims in context – a cognitive effect for them as well as for readers – and the works they choose to cite most frequently are found through least-effort behavior. Indicators of least effort include heavy reliance on self-citation, re-citation of a limited number of acquaintances and orienting figures known through reading, and the use of closely related vocabulary across texts. Such practices produce the power-law distributions of citations and terms that are ubiquitous in bibliometrics. These distributions accord well with the claimed universality of RT''s Cognitive Principle on maximization of relevance. Authors maximize the relevance of citations for themselves, then optimize those citations for readers under the Communicative Principle. Examples are drawn from a set of course readings, the citation records of three authors, and word-association data. Major tenets of RT have considerable power in explaining various findings from citation research. [Copyright &y& Elsevier]

Abstract: We investigated the neural correlates of cognitive effort/pre-target preparation (Contingent Negative Variation activity; CNV) in anxiety using a mixed antisaccade task that manipulated the interval between offset of instructional cue and onset of target (CTI). According to attentional control theory () we predicted that anxiety should result in increased levels of compensatory effort, as indicated by greater frontal CNV, to maintain comparable levels of performance under competing task demands. Our results showed that anxiety resulted in faster antisaccade latencies during medium compared with short and long CTIs. Accordingly, high-anxious individuals compared with low-anxious individuals showed greater levels of CNV activity at frontal sites during medium CTI suggesting that they exerted greater cognitive effort and invested more attentional resources in preparation for the task goal. Our results are the first to demonstrate the neural correlates of processing efficiency and compensatory effort in anxiety and are discussed within the framework of attentional control theory. [Copyright &y& Elsevier]

The article presents a study on the Principle of Least Effort, which can fall into least effort in expression and least effort in comprehension.

Abstract: The Maximum Entropy Principle (MEP) maximizes the entropy provided that the effort remains constant. The Principle of Least Effort (PLE) minimizes the effort provided that the entropy remains constant. The paper investigates the relation between these two principles. In some kinds of effort functions, called admissible, it is shown that these two principles are equivalent. The results are illustrated by the size–frequency statistical distribution met in infometry in Information Production Processes. [Copyright &y& Elsevier]

Alphabet systems have made the recording of information an efficient matter. As a consequence, they have made it possible for human civilizations to progress quickly and expansively. Alphabet characters are derivatives of pictographs, allowing for a more condensed means of recording and transmitting knowledge. The purpose of this paper is to argue that alphabets came about, in fact, to do just this--namely, to make knowledge representation efficient. One of the first to study the "efficient" nature of letters empirically was the Harvard linguist George Kingsley Zipf, who demonstrated that there is universally a correlation between the length of a specific word (in number of letters) and its rank order in a language. This paper will look at Zipf's work and assess its importance to semiotic theory, especially as it relates to the nature of signs and how they express meaning. [ABSTRACT FROM AUTHOR]

Here, assuming a general communication model where objects map to signals, a power function for the distribution of signal frequencies is derived. The model relies on the satisfaction of the receiver (hearer) communicative needs when the entropy of the number of objects per signal is maximized. Evidence of power distributions in a linguistic context (some of them with exponents clearly different from the typical of Zipf''s law) is reviewed and expanded. We support the view that Zipf''s law reflects some sort of optimization but following a novel realistic approach where signals (e.g. words) are used according to the objects (e.g. meanings) they are linked to. Our results strongly suggest that many systems in nature use non-trivial strategies for easing the interpretation of a signal. Interestingly, constraining just the number of interpretations of signals does not lead to scaling. [Copyright &y& Elsevier]

The emergence of a complex language is one of the fundamental events of human evolution, and several remarkable features suggest the presence of fundamental principles of organization. These principles seem to be common to all languages. The best known is the so-called Zipf's law, which states that the frequency of a word decays as a (universal) power law of its rank. The possible origins of this law have been controversial, and its meaningfulness is still an open question. In this article, the early hypothesis of Zipf of a principle of least effort for explaining the law is shown to be sound. Simultaneous minimization in the effort of both hearer and speaker is formalized with a simple optimization process operating on a binary matrix of signal-object associations. Zipf's law is found in the transition between referentially useless systems and indexical reference systems. Our finding strongly suggests that Zipf's law is a hallmark of symbolic reference and not a meaningless feature. The implications for the evolution of language are discussed. We explain how language evolution can take advantage of a communicative phase transition. [ABSTRACT FROM AUTHOR]

This article focuses on the principle of least effort in the study of administration. Almost every critical discourse on the subject of public administration assumes, either implicitly or explicitly, that efficiency must be considered as a significant aspect of administrative action. Some writers speak of economy, others of coordination, cooperation, smooth operation, or even of good administration. Yet all of them have the same objective in mind: the fulfillment of purposes with the least possible effort. The apparent agreement upon the importance of the notion of efficiency suggests that it may not be inadvisable to consider the matter at its roots. While an economist must seek to determine the specific means which, in the minds of individuals, or of groups, calls for the least or less effort in the attainment of given goals, the student of administration considers the comparative amounts of effort which, in reality, are or will be required by various alternative methods of attaining prescribed goals, and subsequently attempts to enlighten the members of the community by displaying the results of his investigations.

Motivation: Annotations are a key feature of many biological databases, used to convey our knowledge of a sequence to the reader. Ideally, annotations are curated manually, however manual curation is costly, time consuming and requires expert knowledge and training. Given these issues and the exponential increase of data, many databases implement automated annotation pipelines in an attempt to avoid un-annotated entries. Both manual and automated annotations vary in quality between databases and annotators, making assessment of annotation reliability problematic for users. The community lacks a generic measure for determining annotation quality and correctness, which we look at addressing within this article. Specifically we investigate word reuse within bulk textual annotations and relate this to Zipf's Principle of Least Effort. We use the UniProt Knowledgebase (UniProtKB) as a case study to demonstrate this approach since it allows us to compare annotation change, both over time and between automated and manually curated annotations.Results: By applying power-law distributions to word reuse in annotation, we show clear trends in UniProtKB over time, which are consistent with existing studies of quality on free text English. Further, we show a clear distinction between manual and automated analysis and investigate cohorts of protein records as they mature. These results suggest that this approach holds distinct promise as a mechanism for judging annotation quality.Availability: Source code is available at the authors website: http://homepages.cs.ncl.ac.uk/m.j.bell1/annotation.Contact: phillip.lord@newcastle.ac.uk [ABSTRACT FROM AUTHOR]