Analyzing the process and results of dispelling rumors is a prerequisite for designing an effective anti-rumor strategy. Current research on this subject focuses on the simulation experiments, short of empirical study. By using the False Information Publicity Results of Sina Weibo as the data source of empirical research, this article compares the typical features of rumor and anti-rumor accounts. Furthermore, taking COVID-19 as the target topic, distributions of the reported time, frequency, platform penalty levels, and diffusion parameters of rumors related (...) to COVID-19 are given, and some interesting results are obtained. (shrink)

Along with the development of social media on the internet, dialogue systems are becoming more and more intelligent to meet users’ needs for communication, emotion, and social intercourse. Previous studies usually use sequence-to-sequence learning with recurrent neural networks for response generation. However, recurrent-based learning models heavily suffer from the problem of long-distance dependencies in sequences. Moreover, some models neglect crucial information in the dialogue contexts, which leads to uninformative and inflexible responses. To address these issues, we present a bichannel transformer (...) with context encoding for document-driven conversation. This conversational generator consists of a context encoder, an utterance encoder, and a decoder with attention mechanism. The encoders aim to learn the distributed representation of input texts. The multihop attention mechanism is used in BCTCE to capture the interaction between documents and dialogues. We evaluate the proposed BCTCE by both automatic evaluation and human judgment. The experimental results on the dataset CMU_DoG indicate that the proposed model yields significant improvements over the state-of-the-art baselines on most of the evaluation metrics, and the generated responses of BCTCE are more informative and more relevant to dialogues than baselines. (shrink)

PurposePast research has documented a significant relationship between family violence and adolescent violence. However, much is unknown about the processes through which this association occurs, especially in the non-Western cultural context. To address this gap, we propose an integrated model encompassing multiple pathways that connect family violence to adolescent violence. Specifically, this study investigates how family violence is related to adolescent violence through violent peer association, normative beliefs about violence, and negative emotions.MethodWe tested the model using the two-wave survey data (...) collected from a probability sample of more than 1,100 adolescents residing in one of the largest metropolitan areas in China in 2015 to 2016.Results and ConclusionsThe results indicated that family violence predicted adolescent violence perpetration. Violent peer association, normative beliefs, and negative emotions, however, mediated much of the relationship between family violence and adolescent violence. (shrink)

In China, Xiong Shili 熊十力 is typically regarded as one of the most important Chinese philosophers of the twentieth century. The focus of this paper is Xiong’s monistic ontology and draws its findings principally from the 1932 literary edition of his New Treatise on Nothing but Consciousness. Xiong’s New Treatise is the first substantive attempt to respond to the modernist challenge of providing Chinese philosophy with ‘system,’ and he did this in the form of an ontology. The (...) New Treatise consists of an interpretive summary and discussion of key Yogācāra teachings that feature in Cheng weishi lun; a sustained critique of views Xiong attributes to the sixth-century Yogācāra master Dharmapāla; and a synthesis of Yogācāra thought with ideas derived from Madhyamaka Buddhism, various Sinitic traditions of Buddhism, the Book of Change, Laozi and Zhuangzi, and from Chinese Neo-Confucian thinkers associated with the Lu-Wang wing of Neo-Confucian philosophy, as well as Zhu Xi. Xiong was very much a syncretist. I seek to explain why Xiong insisted that reality cannot be sought independent of phenomena despite his also claiming that phenomena are not real. The first and major part of the paper introduces Xiong’s critique of Yogācāra accounts of consciousness. The second part introduces his understanding of the doctrine of emptiness. I also trace the connection between Xiong’s understanding and how the concept of emptiness was understood in Tathāgatagarbha school of Sinitic Buddhism. I do not address the Confucian elements in his thought—the Buddhist elements are complex enough. (shrink)

This article investigates an adaptive multi-switching synchronization for two identical high-order memristor-based hyperchaotic systems with uncertain parameters. Firstly, the dynamic characteristics of two high-order memristor hyperchaotic systems with uncertain parameters are analyzed. Then, an adaptive multi-switching controller is designed to realize the multi-switching synchronization of the two high-order hyperchaotic systems, and the unknown parameters of the systems are identified to their true values. Furthermore, numerical simulation results testify the effectiveness of the proposed strategy. Finally, the proposed algorithm applied in secure (...) communication of masking encryption and image encryption is validated by statistical analysis. (shrink)

Real-world multiobjective optimization problems are characterized by multiple types of decision variables. In this paper, we address weapon selection and planning problems, which include decision variables of weapon-type selection and weapon amount determination. Large solution space and discontinuous, nonconvex Pareto front increase the difficulty of problem solving. This paper solves the addressed problem by means of a multiobjective evolutionary algorithm based on decomposition. Two mechanisms are designed for the complex combinatorial characteristic of WSPPs. The first is that the neighborhood of (...) each individual is divided as selection and replacement neighborhoods. The second is that the neighborhood size is changing during the evolution by introducing a distance parameter to constrain the search scope of each subproblem. The proposed algorithm is termed as MOEA/D with distance-based divided neighborhoods which can overcome possible drawbacks of original MOEA/D with weighted sum approach for complex combinatorial problems. Benchmark instances are generated to verify the proposed approach. Experimental results suggest the effectiveness of the proposed algorithm. (shrink)

Mencius, the second sage of Confucianism after Confucius, is well known for his subtle argumentative skills. Mencius did not develop his own argumentation theory, but argumentation practices, including his political argumentation, have enormously inspired later scholars in China to develop argumentation theories. In this paper, we try to reconstruct Mencius’s political argumentation from perspectives of both strategic maneuvering developed by van Eemeren et al. in argumentation theory and truth-functional logic in formal logic. The aim is to manifest the Dao, a (...) rational balance among logical, dialectical and rhetorical dimensions in Mencius’s political argumentation. The results indicate that Mencius’s political argumentation is not only logically justified but also shown to have maneuvered strategically between reasonableness and effectiveness, and that human beings have a common ground of formal and substantial logos, which makes it possible for people from different cultural groups to communicate rationally. (shrink)

Modeling solar photovoltaic systems accurately is based on optimal values of unknown model parameters of PV cells and modules. In recent years, the use of metaheuristics for parameter extraction of PV models gains more and more attentions thanks to their efficacy in solving highly nonlinear multimodal optimization problems. This work addresses a novel application of supply-demand-based optimization to extract accurate and reliable parameters for PV models. SDO is a very young and efficient metaheuristic inspired by the supply and demand mechanism (...) in economics. Its exploration and exploitation are balanced well by incorporating different dynamic modes of the cobweb model organically. To validate the feasibility and effectiveness of SDO, four PV models with diverse characteristics including RTC France silicon solar cell, PVM 752 GaAs thin film cell, STM6-40/36 monocrystalline module, and STP6-120/36 polycrystalline module are employed. The experimental results comparing with ten state-of-the-art algorithms demonstrate that SDO performs better or highly competitively in terms of accuracy, robustness, and convergence. In addition, the sensitivity of SDO to variation of population size is empirically investigated. The results indicate that SDO with a relatively small population size can extract accurate and reliable parameters for PV models. (shrink)

With the development of economy, the requirement of financial planning for individuals or families is emerging. In the era of the Internet, individual investors can conveniently enter the market and purchase financial products. Traditional portfolio management models focus on risky markets such as stock markets. However, risk-averse investors, such as normal families, may concern appropriate long-term financial planning. This paper considers the problem of portfolio management of bank financial products with a long-term planning horizon. By taking into account the final (...) return and the flexibility, a multiobjective model of long-term portfolio is proposed. A multiobjective evolutionary approach is employed for the handling of conflicting objectives. Test instances are generated to illustrate the problem. Experiment results show that the presented algorithm can efficiently find trade-off solutions. Our experimental results also show that crossover probabilities should be separately implemented for long-term portfolio problems with hybrid encoding. Performance comparison of different crossover operators suggest that, for a real-valued encoding part, the simulated binary crossover has a better performance than BLX- operator. While for a binary encoding part, a uniform crossover operator might be appropriate for large-scale instances. The proposed multiobjective model in this paper provides risk-averse investors with an appropriate decision support model for the long-term financial planning and management. (shrink)

Research investigating the underlying mechanisms and boundary conditions under which leader humility influences employee voice remains underdeveloped. Drawing from approach–inhibition theory of power and leader humility literature, we developed a moderated-mediation model in which personal sense of power was theorized as a unique mechanism underlining why employees feel motivated to speak up under the supervision of humble leaders. Additionally, the cultural value of power distance was proposed to be a relevant boundary condition to influence such relationship. We tested the model (...) using time-lagged supervisor–subordinate matched data. Results of mixed models analyses provided support for our hypotheses confirming that employees’ personal sense of power mediates the relationship between leader humility and employee voice, and such relationship was found to be stronger when employees’ power distance was lower rather than higher. (shrink)

The influence of corporate social performance on stakeholders is one of the focal issues in corporate social responsibility research. Using data of listed companies in China, this paper examines whether CSR behavior in the form of charitable donations garners a positive reaction from suppliers. Results derived from both level and change model regressions show that superior CSP makes it easier for a firm to obtain trade credit from suppliers, although the effect is significant only in non-state-owned enterprises. The results are (...) robust to various measures of CSP and endogeneity tests. The results support the strategic philanthropy view and apply stakeholder theory in supply chain, that strategic CSR can help firms to attract suppliers and consolidate cooperative relationships with them, which in turn benefits the firms in terms of more trade credit financing from suppliers. This paper also shows that state-owned enterprises and non-SOEs have different CSR intentions and use CSR to achieve strategic goals in different ways. The conclusions drawn from this study provide practical guidance on CSR strategy, suggesting that CSR activities can help a firm in transition economies to enhance its corporate image, establish and consolidate the good relationship with suppliers, and obtain economic benefits or achieve long-term business objectives. (shrink)

Many studies have explored the antecedents of corporate social performance, such as institutional forces and stakeholder pressures. However, few studies examine CSP from a socio-cognitive perspective. To address this research void, this study adopts an attention-based approach to examine the relationship between managers' attention to social issues and CSP. More important, this study reports that this relationship will be moderated by governance mechanisms that constrain managerial discretion. Using a sample of Chinese listed firms, this study provides empirical support for these (...) arguments. Therefore, our study adds new insights to the literature addressing CSP from a socio-cognitive perspective and speaks to the structural features, both inside and outside organizations, that guide managers' attention. (shrink)

How to mitigate stock price crash risk has become a focus in the theoretical and practical fields. Building on the work of Kim et al., this paper investigates the relation between corporate philanthropy and crash risk under the unique Chinese institutional background. The results show that both state ownership and the 2005 split share reform attenuate the mitigating effect of corporate philanthropy on crash risk. Specifically, the negative relation between corporate philanthropy and crash risk is less pronounced for state-owned enterprises (...) than for non-state-owned enterprises, and it is also less pronounced after firms accomplish the split share reform. Further, this effect is more pronounced for firms with greater financial risks and poorer performance. Our paper contributes to the growing literature on the determinants of stock price crash risk and the economic consequences of corporate philanthropy. It also offers useful guidance to firms that are seeking to reduce stock price crash risk in emerging markets. (shrink)

This work of 'systematic parapsychology' aims to construct a framework and system of parapsychology, taking a comprehensive approach to the field. The book states that parapsychology has a different philosophical background from the existing science and religions, and posits that pantheism could be the theoretical basis of parapsychology.

Cretaceous Qingshankou mudstone of lacustrine origin is the major source rock for conventional hydrocarbon currently being produced in the Daqing and Jilin oilfields of the Songliao Basin, which is one of the largest continental basins in the world. Therefore, elucidating the geochemical and petrological characteristics of the [Formula: see text] mudstone is important to help determine its quality as an economically viable source for shale oil production. In our study, eight dark mudstone core samples from the [Formula: see text] formation (...) were subjected to total organic carbon, Rock-Eval pyrolysis, X-ray diffraction, scanning electron microscopy, field emission SEM, and low-pressure [Formula: see text] gas adsorption experiments. Geochemical and petrological analysis results indicated the presence of a high TOC content, which originated mainly from alginate and some plant-derived organic matter, whereas bitumen was frequently present in mudstones with thermal maturity in the oil-generation stage. The [Formula: see text] mudstones were comprised mainly of clay minerals, followed by quartz, feldspar, and carbonates. The LPGA-[Formula: see text] experiments revealed the presence of nanoscale slit-shaped pores, and the contribution from mesopores to the total pore volume was the highest in most of the samples. The average pore diameters of the mudstone samples were all smaller than 20 nm. We determined that there was a clear positive correlation between the APD and the free oil content; however, there were no clear correlations between the APDs and the quartz, carbonate, and TOC contents. FEM studies revealed the presence of intergranular pores with widths of approximately 10 μm, micron-level autogenetic organic matter pores within spores, organic matter pores caused by the hydrocarbon generation effect within organic matter or clay-organic complexes, and intraparticle pores within clays or pyrite framboids. The microlevel intergranular pores might play an important role in shale oil accumulation from source rock of lacustrine origin. (shrink)

A dynamic learning method is developed for an uncertain n-link robot with unknown system dynamics, achieving predefined performance attributes on the link angular position and velocity tracking errors. For a known nonsingular initial robotic condition, performance functions and unconstrained transformation errors are employed to prevent the violation of the full-state tracking error constraints. By combining two independent Lyapunov functions and radial basis function neural network approximator, a novel and simple adaptive neural control scheme is proposed for the dynamics of the (...) unconstrained transformation errors, which guarantees uniformly ultimate boundedness of all the signals in the closed-loop system. In the steady-state control process, RBF NNs are verified to satisfy the partial persistent excitation condition. Subsequently, an appropriate state transformation is adopted to achieve the accurate convergence of neural weight estimates. The corresponding experienced knowledge on unknown robotic dynamics is stored in NNs with constant neural weight values. Using the stored knowledge, a static neural learning controller is developed to improve the full-state tracking performance. A comparative simulation study on a 2-link robot illustrates the effectiveness of the proposed scheme. (shrink)

Different writing systems in the world select different units of spoken language for mapping. Do these writing system differences influence how first language (L1) literacy experiences affect cognitive processes in learning to read a second language (L2)? Two groups of college students who were learning to read English as a second language (ESL) were examined for their relative reliance on phonological and orthographic processing in English word identification: Korean students with an alphabetic L1 literacy background, and Chinese students with a (...) nonalphabetic L1 literacy background. In a semantic category judgment task, Korean ESL learners made more false positive errors in judging stimuli that were homophones to category exemplars than they did in judging spelling controls. However, there were no significant differences in responses to stimuli in these two conditions for Chinese ESL learners. Chinese ESL learners, on the other hand, made more accurate responses to stimuli that were less similar in spelling to category exemplars than those that were more similar. Chinese ESL learners may rely less on phonological information and more on orthographic information in identifying English words than their Korean counterparts. Further evidence supporting this argument came from a phoneme deletion task in which Chinese subjects performed more poorly overall than their Korean counterparts and made more errors that were phonologically incorrect but orthographically acceptable. We suggest that cross-writing system differences in L1s and L1 reading skills transfer could be responsible for these ESL performance differences. (shrink)

ABSTRACTIn “The Politics of Getting It Right,” Russell Muirhead has contended in this journal that democracy is valuable because of its procedural legitimacy rather than because of the epistemic values of “getting things right.” However, pure procedural theories of legitimacy fail. Thus, if democracy is legitimate, it will have to be due partly to its epistemic advantages. There are two ways of thinking about these advantages. One approach, associated most prominently with David Estlund and Hélène Landemore, equates the epistemic advantages (...) of democracy with its ability to approximate a procedure-independent standard of correctness. The other, associated with Fabienne Peter, explicitly rejects that standard. Peter’s view, however, is incapable of answering challenges against pure procedural theories of legitimacy. (shrink)

As studies continue to accumulate on leader humility, it has become clear that humility in a leader is largely beneficial to his or her followers. While the majority of the empirical research on this topic has demonstrated the positive effects of leader humility, this study challenges that consensus by arguing that a leader’s humble behavior can have contradictory outcomes in followers’ voice behavior. Drawing on attachment theory, we develop a model which takes into account the ways in which leader humility (...) influences the seemingly contradictory voice behavior of followers, i.e., inducing challenging voice, and defensive voice depending on the followers’ sense of security as reflected by feeling trusted and self-efficacy for voice. The results of this empirical study confirm that leader humility influences followers’ voice in a contradictory way through their sense of security. (shrink)

Despite flourishing as a multidisciplinary subject, the predominant view in bioethics today is based on Anglo-American thought. This has serious implications for a global bioethics that needs to be contextualized to local cultures and circumstances in order to be relevant. Being the largest continent on the earth, Asia is home to a variety of cultures, religions and countries of different economic statuses. While the practice of medicine in the East and West may be similar, its ethical practices do differ. Thus, (...) the Western understanding of autonomy may not be wholly applicable in the Asian setting, especially in the setting of breaking bad news, giving consent, determining best interests and deciding on end-of-life care. This article explores these topics in depth, attempting to find shared integrating factors, but at the same time arguing for a modified ethical application of autonomy, based on Asian beliefs. (shrink)

Algorithms increasingly make managerial decisions that people used to make. Perceptions of algorithms, regardless of the algorithms' actual performance, can significantly influence their adoption, yet we do not fully understand how people perceive decisions made by algorithms as compared with decisions made by humans. To explore perceptions of algorithmic management, we conducted an online experiment using four managerial decisions that required either mechanical or human skills. We manipulated the decision-maker, and measured perceived fairness, trust, and emotional response. With the mechanical (...) tasks, algorithmic and human-made decisions were perceived as equally fair and trustworthy and evoked similar emotions; however, human managers' fairness and trustworthiness were attributed to the manager's authority, whereas algorithms' fairness and trustworthiness were attributed to their perceived efficiency and objectivity. Human decisions evoked some positive emotion due to the possibility of social recognition, whereas algorithmic decisions generated a more mixed response – algorithms were seen as helpful tools but also possible tracking mechanisms. With the human tasks, algorithmic decisions were perceived as less fair and trustworthy and evoked more negative emotion than human decisions. Algorithms' perceived lack of intuition and subjective judgment capabilities contributed to the lower fairness and trustworthiness judgments. Positive emotion from human decisions was attributed to social recognition, while negative emotion from algorithmic decisions was attributed to the dehumanizing experience of being evaluated by machines. This work reveals people's lay concepts of algorithmic versus human decisions in a management context and suggests that task characteristics matter in understanding people's experiences with algorithmic technologies. (shrink)

This paper reports a study of the key success factors of what have been recognized as successful service enterprises in China, each considered representative of its respective industry. The grounded theory approach was used to analyze information collected from these enterprises, resulting in the identification of the attributes shared by these enterprises: customer-oriented service, service management, service innovation, and corporate social responsibility. Based on these attributes, a survey was conducted to verify the relationships among these attributes and important outcomes, namely (...) customer satisfaction, perceived service quality, and enterprise reputation. The results of the statistical analysis indicate that the four attributes have positive impacts on service outcomes. The findings are of far-reaching importance in view of the vast potential service markets in China. (shrink)

This article introduces a theoretical framework that combines institutional and stakeholder theories to explain how firms choose their corporate social responsibility (CSR) strategy. Organizational researchers have identified several distinct CSR strategies (e.g., obstructionist, defensive, accommodative, and proactive), but did not explain the sources of divergence. This article argues that the divergence comes from the variability in the configuration of external influences that consists of institutional and stakeholder pressures. While institutions affect firms’ social behavior by shaping the macro-level incentive structure and (...) sources of legitimacy (distal mechanisms), firms’ stakeholders can amplify or buffer the institutional forces by acting as mediators (proximate mechanisms). The two dimensions are interdependent in that stakeholders draw legitimacy and power from institutions, and institutions are often actualized through stakeholder mechanisms. Together, they form a particular configuration of external influences that shapes how focal firms construct their CSR strategy. (shrink)

We investigate how state involvement in the ownership of non-listed entrepreneurial firms affects pollution fees levied by national and provincial governments in China. While the national government sets minimum environmental standards, provincial governments can enact requirements that exceed these minimums, and they are largely responsible for enforcing even the national standards, so environmental levies can measure concessions that provinces make to encourage development and employment. Furthermore, state ownership is a good proxy for a firm’s political connections, which can influence the (...) relationship between the firm and the environmental authorities. We find that firms with state ownership pay lower environmental levies, which indicates that concessions are made for political or economic purposes. However, these concessions are conditional on the level of development of the province offering them, with better developed provinces providing fewer concessions. (shrink)

Achieving food system sustainability is one of the more pressing challenges of this century. Over the last decades, experts from diverse disciplines and intellectual traditions have worked to document the critical threats to food system sustainability and to define an appropriate agenda for action. Nevertheless, these efforts have tended to focus selectively on only a few components of the food system or have tended to be framed in particular discourses. Depending on the point of departure, what aspects of the food (...) system are considered threatened, and what must be sustained, can differ greatly between perspectives. In this article, we draw from systems-thinking and social-ecological systems concepts to focus on the underlying process-related attributes that could support a more sustainable food system. We then examine the support for specific system attributes in six different knowledge domains addressing sustainable agriculture and food. From this review, we identify five system attributes—diversity, modularity, transparency, innovation and congruence—that are repeatedly featured in the different knowledge domains as critical aspects of food system sustainability. We argue that in the face of considerable complexity and high uncertainty, these attributes can serve as a guide to conceptualizing food system choices adaptively and iteratively. (shrink)

This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional is firstly introduced. Meanwhile, a new zero-value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled-data (...) controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples. (shrink)

Robot enthusiasts envision robots will become a “race unto themselves” as they cohabit with the humankind one day. Profound questions arise surrounding one of the major areas of research in the contemporary world—that concerning artificial intelligence. Fascination and anxiety that androids impose upon us hinges on how we come to conceive of the “Cultural Other.” Applying the notion of the “other” in multicultural research process, we will explore how the “Other” has been used to illustrate values and theories about robots, (...) as a mirror for the self. In this paper, we focus on the social, cultural, and religious implications of humans’ attitudes toward relationships between humans with robots. Six major views on humanoid robots are proposed: (1) robots as the “Frightening Other,” (2) robots as the “Subhuman Other,” (3) robots as the “Human Substitute,” (4) robots as the “Sentient Other,” (5) robots as the “Divine Other,” and (6) robots as the “Co-evolutionary Path to Immortality.” The likely and preferable scenario is the last one, which is compatible with an optimistic posthuman world in our evolutionary future. We imagine whether humans will meet the challenge of loving all living and non-living beings (including mechanical entities) might be the key to the co-evolution of both species and the ultimate happiness. (shrink)

This paper focuses on neural learning from adaptive neural control for a class of flexible joint manipulator under the output tracking constraint. To facilitate the design, a new transformed function is introduced to convert the constrained tracking error into unconstrained error variable. Then, a novel adaptive neural dynamic surface control scheme is proposed by combining the neural universal approximation. The proposed control scheme not only decreases the dimension of neural inputs but also reduces the number of neural approximators. Moreover, it (...) can be verified that all the closed-loop signals are uniformly ultimately bounded and the constrained tracking error converges to a small neighborhood around zero in a finite time. Particularly, the reduction of the number of neural input variables simplifies the verification of persistent excitation condition for neural networks. Subsequently, the proposed ANC scheme is verified recursively to be capable of acquiring and storing knowledge of unknown system dynamics in constant neural weights. By reusing the stored knowledge, a neural learning controller is developed for better control performance. Simulation results on a single-link flexible joint manipulator and experiment results on Baxter robot are given to illustrate the effectiveness of the proposed scheme. (shrink)

Achieving food system sustainability is one of the more pressing challenges of this century. Over the last decades, experts from diverse disciplines and intellectual traditions have worked to document the critical threats to food system sustainability and to define an appropriate agenda for action. Nevertheless, these efforts have tended to focus selectively on only a few components of the food system or have tended to be framed in particular discourses. Depending on the point of departure, what aspects of the food (...) system are considered threatened, and what must be sustained, can differ greatly between perspectives. In this article, we draw from systems-thinking and social-ecological systems concepts to focus on the underlying process-related attributes that could support a more sustainable food system. We then examine the support for specific system attributes in six different knowledge domains addressing sustainable agriculture and food. From this review, we identify five system attributes—diversity, modularity, transparency, innovation and congruence—that are repeatedly featured in the different knowledge domains as critical aspects of food system sustainability. We argue that in the face of considerable complexity and high uncertainty, these attributes can serve as a guide to conceptualizing food system choices adaptively and iteratively. (shrink)