wanyu/IteraTeR_v2 huggingface dataset:
Original:  The edit distance generalizes to languages %DIFDELCMD < {\cal %DIFDELCMD < %%% L _1,%DIFDELCMD < {\cal %%% L _2, where the edit distance  is the minimal number k such that for every word from %DIFDELCMD < {\cal %%% L _1 there exists a word in %DIFDELCMD < {\cal %%% L _2 with edit distance at most k.
Revised:  The edit distance generalizes to languages %DIFDELCMD < {\cal %DIFDELCMD < %%% _1,%DIFDELCMD < {\cal %%% L _2, where the edit distance is the minimal number k such that for every word from %DIFDELCMD < {\cal %%% L _1 there exists a word in %DIFDELCMD < {\cal %%% L _2 with edit distance at most k.
Edit intent: fluency
Original:  Similar points at the input of the network are likely to have the same The theoretical analysis of deep networks here presented exploits tools used in the compressed sensing and dictionary learning literature, thereby making a formal connection between these important topics.
Revised:  Similar points at the input of the network are likely to have a similar output. The theoretical analysis of deep networks here presented exploits tools used in the compressed sensing and dictionary learning literature, thereby making a formal connection between these important topics.
Edit intent: clarity
Original: Three important properties of a classification machinery are: (i) the system preserves the important information of the input data;
Revised: Three important properties of a classification machinery are: (i) the system preserves the core information of the input data;
Edit intent: clarity
Original:  (ii) the training examples convey information for unseen data;
Revised:  (ii) the training examples convey information about unseen data;
Edit intent: fluency
Original:  In this work we show that these fundamental properties are inherited by the architecture of deep neural networks.
Revised:  In this work we show that these fundamental properties are satisfied by the architecture of deep neural networks.
Edit intent: clarity
Original: During the Italian research assessment exercise, the national agency ANVUR performed an experiment to assess agreement between grades obtained through informed peer review (IR) and  bibliometrics.
Revised: During the Italian research assessment exercise, the national agency ANVUR performed an experiment to assess agreement between grades attributed to journal articles by informed peer review (IR) and bibliometrics.
Edit intent: clarity
Original: During the Italian research assessment exercise, the national agency ANVUR performed an experiment to assess agreement between grades obtained through informed peer review (IR) and  bibliometrics.
Revised: During the Italian research assessment exercise, the national agency ANVUR performed an experiment to assess agreement between grades obtained through informed peer review (IR) and by bibliometrics.
Edit intent: coherence
Original:  A sample  was evaluated by using both methods and concordance was analyzed by weighted Cohen's kappas.
Revised:  A sample was evaluated by using both methods and agreement was analyzed by weighted Cohen's kappas.
Edit intent: clarity
Original:  According to ANVUR results indicated an overall " more than adequate " agreementwhich "fully justifies" the choice of using jointly both techniques in the assessment.
Revised:  ANVUR presented results as indicating an overall 'good' or ' more than adequate " agreementwhich "fully justifies" the choice of using jointly both techniques in the assessment.
Edit intent: clarity
Original:  However, according to available statistical guidelines for  kappa values,  the degree of agreement  has to be interpreted, for all research fields, as  poor or, in a few cases, as, at most, fair.
Revised:  However, according to available statistical guidelines for interpreting kappa values, the degree of agreement has to be interpreted, for all research fields, as poor or, in a few cases, as, at most, fair.
Edit intent: fluency
Original:  However, according to available statistical guidelines for  kappa values,  the degree of agreement  has to be interpreted, for all research fields, as  poor or, in a few cases, as, at most, fair.
Revised:  However, according to available statistical guidelines for kappa values, by showing that the degree of agreement has to be interpreted, for all research fields, as poor or, in a few cases, as, at most, fair.
Edit intent: coherence
Original:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 panel highlights substantial modifications with respect to protocols of all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Revised:  In fact, a scrutiny of the experiment protocol adopted in Area 13 panel highlights substantial modifications with respect to protocols of all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Edit intent: clarity
Original:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 panel highlights substantial modifications with respect to protocols of all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Revised:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 was substantially modified with respect to protocols of all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Edit intent: clarity
Original:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 panel highlights substantial modifications with respect to protocols of all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Revised:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 panel highlights substantial modifications with respect to all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Edit intent: clarity
Original:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 panel highlights substantial modifications with respect to protocols of all the other areas , to the point that results for Area 13 have to be considered as fatally flawed.
Revised:  In fact, a scrutiny of the experiment protocol adopted by the Area 13 panel highlights substantial modifications with respect to protocols of all the other research fields , to the point that results for Area 13 have to be considered as fatally flawed.
Edit intent: clarity
Original:  The evidence of a poor to fair concordance supports the conclusion that IR and bibliometrics do not produce similar results .
Revised:  The evidence of a poor agreement supports the conclusion that IR and bibliometrics do not produce similar results .
Edit intent: clarity
Original:  As a consequence, final results reached in the Italian research assessment possibly depend on the mix of instruments used for evaluating research outputs .
Revised:  As a consequence, final results reached in the Italian research assessment possibly introduced systematic and unknown biases in its final results .
Edit intent: clarity
Original: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature (T) for growth of grass shoots, to determine the equation of state (EoS) for living plants.
Revised: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature for growth of grass shoots, to determine the equation of state (EoS) for living plants.
Edit intent: coherence
Original:  By considering shoot growth as a dynamic series of phase transitions in the extending  wall, we identify critical exponents for this phenomenon, exhibiting singular behaviour at critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha} .
Revised:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identify critical exponents for this phenomenon, exhibiting singular behaviour at critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha} .
Edit intent: fluency
Original:  The power-law exponents \alpha and \beta are numbers, independent of pH (or \mu) and T , which are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Revised:  The power-law exponents \alpha and \beta are numbers, independent of pH (or \mu) and temperature , which are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Edit intent: clarity
Original:  Various 'scaling' predictions are obtained: a convexity relation \alpha + \beta \ge 2 for practical pH-based analysis, and \beta \equiv 2 identity in microscopic representation.
Revised:  Various 'scaling' predictions are obtained: a convexity relation \alpha + \beta \ge 2 for practical pH - based analysis, and \beta \equiv 2 identity in microscopic representation.
Edit intent: fluency
Original: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature for growth of grass shoots , to determine the equation of state (EoS) for living plants.
Revised: We examined the pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature for growth of grass shoots , to determine the equation of state (EoS) for living plants.
Edit intent: fluency
Original: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature for growth of grass shoots , to determine the equation of state (EoS) for living plants.
Revised: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature (T) for the growth of grass shoots , to determine the equation of state (EoS) for living plants.
Edit intent: clarity
Original: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature for growth of grass shoots , to determine the equation of state (EoS) for living plants.
Revised: We examine pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature for growth of grass shoots in order to determine the equation of state (EoS) for living plants.
Edit intent: coherence
Original:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identify critical exponents for this phenomenon, exhibiting singular behaviour at  critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Revised:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identified the critical exponents for this phenomenon, exhibiting singular behaviour at critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Edit intent: fluency
Original:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identify critical exponents for this phenomenon, exhibiting singular behaviour at  critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Revised:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identify critical exponents for this phenomenon, which exhibit a singular behaviour at critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Edit intent: coherence
Original:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identify critical exponents for this phenomenon, exhibiting singular behaviour at  critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Revised:  By considering shoot growth as a dynamic series of phase transitions in the extending primary wall, we identify critical exponents for this phenomenon, exhibiting singular behaviour at a critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Edit intent: fluency
Original:  The power-law exponents \alpha and \beta are numbers,  independent of pH (or \mu) and temperature, which are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Revised:  The power-law exponents \alpha and \beta are numbers, which are independent of pH (or \mu) and temperature, which are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Edit intent: fluency
Original:  The power-law exponents \alpha and \beta are numbers,  independent of pH (or \mu) and temperature, which are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Revised:  The power-law exponents \alpha and \beta are numbers, independent of pH (or \mu) and T that are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Edit intent: clarity
Original:  The power-law exponents \alpha and \beta are numbers,  independent of pH (or \mu) and temperature, which are known as critical exponents, while \pi and \tau represent the reduced pH and reduced temperature, respectively.
Revised:  The power-law exponents \alpha and \beta are numbers, independent of pH (or \mu) and temperature, which are known as critical exponents, while \pi and \tau represent a reduced pH and reduced temperature, respectively.
Edit intent: fluency
Original:  Various 'scaling' predictions are obtained : a convexity relation \alpha + \beta \ge 2 for practical pH - based analysis , and \beta \equiv 2 identity in microscopic representation.
Revised:  Various 'scaling' predictions were obtained - a convexity relation \alpha + \beta \ge 2 for practical pH - based analysis , and \beta \equiv 2 identity in microscopic representation.
Edit intent: coherence
Original:  Various 'scaling' predictions are obtained : a convexity relation \alpha + \beta \ge 2 for practical pH - based analysis , and \beta \equiv 2 identity in microscopic representation.
Revised:  Various 'scaling' predictions are obtained : a convexity relation \alpha + \beta \ge 2 for practical pH-based analysis and a \beta \equiv 2 identity in microscopic representation.
Edit intent: fluency
Original:  In this scenario, a magnitude decisive for growth is the chemical potential of protons.
Revised:  In the scenario, the magnitude that is decisive for growth is the chemical potential of protons.
Edit intent: clarity
Original:  The EoS span areas of the biological, physical, chemical and Earth sciences , crossing the borders with the language of phase transitions.
Revised:  The EoS span areas of the biological, physical, chemical and Earth sciences cross the borders with the language of phase transitions.
Edit intent: fluency
Original: We examined the pH/T (or \mu/T) duality of acidic pH (or auxin-induced acidification) and temperature (T) for the growth of grass shoots in order to determine the equation of state (EoS) for living plants.
Revised: We examined the pH/T (or \mu/T) duality of acidic pH and temperature (T) for the growth of grass shoots in order to determine the equation of state (EoS) for living plants.
Edit intent: coherence
Original:  By considering non-meristematic growth as a dynamic series of phase transitions in the extending primary wall, we identified the critical  exponents for this phenomenon, which exhibit a singular behaviour at a critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Revised:  By considering non-meristematic growth as a dynamic series of 'state transitions' (STs) in the extending primary wall, we identified the critical exponents for this phenomenon, which exhibit a singular behaviour at a critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Edit intent: clarity
Original:  By considering non-meristematic growth as a dynamic series of phase transitions in the extending primary wall, we identified the critical  exponents for this phenomenon, which exhibit a singular behaviour at a critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Revised:  By considering non-meristematic growth as a dynamic series of phase transitions in the extending primary wall, we identified the critical (read: optimum) exponents for this phenomenon, which exhibit a singular behaviour at a critical temperature, critical pH and critical chemical potential (\mu) in the form of four power laws: F(\tau)_\pi\propto|\tau|^{\beta-1}, F(\pi)_\tau\propto|\pi|^{1-\alpha}, G(\tau)_\mu\propto|\tau|^{-2-\alpha+2\beta} and G(\mu)_\tau\propto|\mu|^{2-\alpha}.
Edit intent: clarity
Original:  In the  scenario, the magnitude that is decisive for growth is the chemical potential of protons .
Revised:  In the presented scenario, the magnitude that is decisive for growth is the chemical potential of protons .
Edit intent: clarity
Original:  In the  scenario, the magnitude that is decisive for growth is the chemical potential of protons .
Revised:  In the scenario, the magnitude that is decisive is the chemical potential of protons .
Edit intent: clarity
Original: This paper introduces a new framework for constructing the Discrete Empirical Interpolation Method (DEIM ) projection operator.
Revised: This paper introduces a new framework for constructing the Discrete Empirical Interpolation Method DEIM projection operator.
Edit intent: clarity
Original:  The interpolation nodes selection procedure is formulated using a QR factorization with column pivoting .
Revised:  The interpolation node selection procedure is formulated using a QR factorization with column pivoting .
Edit intent: fluency
Original:  The interpolation nodes selection procedure is formulated using a QR factorization with column pivoting .
Revised:  The interpolation nodes selection procedure is formulated using the QR factorization with column pivoting .
Edit intent: fluency
Original:  The new approach allows modifications that , in the case of gargantuan dimensions, use only randomly sampled rows of U but are capable of producing equally good approximations .
Revised:  The new approach allows modifications that use only randomly sampled rows of U but are capable of producing equally good approximations .
Edit intent: clarity
Original: The Minimum Sum Coloring Problem (MSCP) is a generalization of the well-known vertex coloring problem  .
Revised: The Minimum Sum Coloring Problem (MSCP) is a variant of the well-known vertex coloring problem .
Edit intent: clarity
Original:  Due to its theoretical and practical relevance, the MSCP attracts increasing attention.
Revised:  Due to its theoretical and practical relevance, MSCP attracts increasing attention.
Edit intent: fluency
Original:  The only existing review on the problem dates back to 2004 and mainly covers the history of the MSCP and the theoretical developments on specific graphs.
Revised:  The only existing review on the problem dates back to 2004 and mainly covers the history of MSCP and theoretical developments on specific graphs.
Edit intent: fluency
Original:  To be informative, we identify the general framework followed by these algorithms and the key ingredients that make them successful.
Revised:  To be informative, we identify the general framework followed by practical solution algorithms and the key ingredients that make them successful.
Edit intent: clarity
Original:  Our primary motivation is modelling of immunotherapy for malignant tumors.
Revised:  Our primary motivation is modeling of immunotherapy of malignant tumors.
Edit intent: fluency
Original:  The main characteristics of the model are distinguishing phenotype and genotype, including environment-dependent transitions between phenotypes that do not affect the genotype, and the introduction of a competition term which lowers the reproduction rate of an individual in addition to the usual term that increases its death rate.
Revised:  The main expansions of the model are distinguishing phenotype and genotype, including environment-dependent transitions between phenotypes that do not affect the genotype, and the introduction of a competition term which lowers the reproduction rate of an individual in addition to the usual term that increases its death rate.
Edit intent: clarity
Original:  The main characteristics of the model are distinguishing phenotype and genotype, including environment-dependent transitions between phenotypes that do not affect the genotype, and the introduction of a competition term which lowers the reproduction rate of an individual in addition to the usual term that increases its death rate.
Revised:  The main characteristics of the model are distinguishing phenotype and genotype, including environment-dependent phenotypic plasticity that does not affect the genotype, and the introduction of a competition term which lowers the reproduction rate of an individual in addition to the usual term that increases its death rate.
Edit intent: clarity
Original:  The main characteristics of the model are distinguishing phenotype and genotype, including environment-dependent transitions between phenotypes that do not affect the genotype, and the introduction of a competition term which lowers the reproduction rate of an individual in addition to the usual term that increases its death rate.
Revised:  The main characteristics of the model are distinguishing phenotype and genotype, including environment-dependent transitions between phenotypes that do not affect the genotype, and introducing a competition term which lowers the reproduction rate of an individual in addition to the usual term that increases its death rate.
Edit intent: fluency
Original:  On the other hand, we argue why understanding purely stochastic events (which cannot be obtained with deterministic systems ) may help to understand the resistance of tumors to various therapeutic approaches and may have non-trivial consequences on tumor treatment protocols and demonstrate this through numerical simulations.
Revised:  On the other hand, we argue why understanding purely stochastic events (which cannot be obtained with deterministic models ) may help to understand the resistance of tumors to various therapeutic approaches and may have non-trivial consequences on tumor treatment protocols and demonstrate this through numerical simulations.
Edit intent: clarity