wanyu/IteraTeR_full_sent huggingface dataset:
Original:  For existing data of the North Sea we show that we can better reconstruct the dynamic sea surface for about 156 months back in time using the height-optimal triangulation than the Delaunay triangulation and even for about 180 months using the k-order height-optimal triangulation for k=2.
Revised:  For existing data of the North Sea we show that we can better reconstruct the dynamic sea surface for about 156 months back in time up to 18 years, and the k-order height-optimal triangulation for k=2.
Edit intent: meaning-changed
Original:  For existing data of the North Sea we show that we can better reconstruct the dynamic sea surface for about 156 months back in time using the height-optimal triangulation than the Delaunay triangulation and even for about 180 months using the k-order height-optimal triangulation for k=2.
Revised:  For existing data of the North Sea we show that we can better reconstruct the dynamic sea surface for about 156 months back in time using the height-optimal triangulation than the Delaunay triangulation and even for about 180 months using the k-order Delaunay min-error triangulation even up to 21 years for k=2.
Edit intent: meaning-changed
Original:  It consists of a discretization of a nonlinear reaction-diffusion equation (the Allen-Cahn equation), coupled with an ODE . Unlike many feedforward networks that are said to mimic brain or cortical cells functioning, the PSBC is inspired by fluid behavior, namely, on how binary fluids phase separate.
Revised:  It consists of a discretization of a nonlinear reaction-diffusion equation (the Allen-Cahn equation), coupled with an ODE , and is inspired by fluid behavior, namely, on how binary fluids phase separate.
Edit intent: coherence
Original:  Thus, (hyper)parameters have physical meaning, whose effects are carefully studied in several different scenarios : for instance, diffusion introduces interaction among features, whereas reaction plays an active role in classification . PSBC's coefficients are trainable weights, chosen according to a minimization problem using Gradient Descent;
Revised:  Hence, parameters and hyperparameters have physical meaning, whose effects are carefully studied in several different scenarios : for instance, diffusion introduces interaction among features, whereas reaction plays an active role in classification . PSBC's coefficients are trainable weights, chosen according to a minimization problem using Gradient Descent;
Edit intent: coherence
Original:  Thus, (hyper)parameters have physical meaning, whose effects are carefully studied in several different scenarios : for instance, diffusion introduces interaction among features, whereas reaction plays an active role in classification . PSBC's coefficients are trainable weights, chosen according to a minimization problem using Gradient Descent;
Revised:  Thus, (hyper)parameters have physical meaning, whose effects are carefully studied in several different scenarios . PSBC's coefficients are trainable weights, chosen according to a minimization problem using Gradient Descent;
Edit intent: coherence
Original:  Moreover, the model can be seen under the framework of feedforward networks, and is endowed with a nonlinear activation function that is linear in trainable weights but polynomial in other variables  .
Revised:  Moreover, the model can be seen under the framework of feedforward networks, and is endowed with a nonlinear activation function that is linear in trainable weights but polynomial in other variables , yielding a cost function that is also polynomial .
Edit intent: meaning-changed
Original:  Thus, stability conditions are established through meshgrid constraints, discrete maximum principles, and, overall, exploiting the concept of Invariant regions , as developed in the work of Chueh, Conway, Smoller, and particularly in the application of their theory to finite-difference methods in the work of Hoff.
Revised:  Thus, stability conditions are established using the concept of Invariant regions , as developed in the work of Chueh, Conway, Smoller, and particularly in the application of their theory to finite-difference methods in the work of Hoff.
Edit intent: coherence
Original:  Thus, stability conditions are established through meshgrid constraints, discrete maximum principles, and, overall, exploiting the concept of Invariant regions , as developed in the work of Chueh, Conway, Smoller, and particularly in the application of their theory to finite-difference methods in the work of Hoff. The PSBC also has interesting model compression properties which are thoroughly discussed.
Revised:  Thus, stability conditions are established through meshgrid constraints, discrete maximum principles, and, overall, exploiting the concept of Invariant regions . Interesting model compression properties which are thoroughly discussed.
Edit intent: coherence
Original:  We apply the model to the subset of numbers "0" and "1" of the classical MNIST database, where we are able to discern individuals from both classes with more than 94\\%DIF < accuracy, sometimes using less than 80 variables, a feature that is out of reach of Artificial Neural Networks without weight sharing or feature engineering.
Revised:  We illustrate the classifier's qualities by applying it to the subset of numbers "0" and "1" of the classical MNIST database, where we are able to discern individuals from both classes with more than 94\\%DIF < accuracy, sometimes using less than 80 variables, a feature that is out of reach of Artificial Neural Networks without weight sharing or feature engineering.
Edit intent: meaning-changed
Original:  We apply the model to the subset of numbers "0" and "1" of the classical MNIST database, where we are able to discern individuals from both classes with more than 94\\%DIF < accuracy, sometimes using less than 80 variables, a feature that is out of reach of Artificial Neural Networks without weight sharing or feature engineering.
Revised:  We apply the model to the subset of numbers "0" and "1" of the classical MNIST database, where we are able to discern individuals with more than 94\\%DIF < accuracy, sometimes using less than 80 variables, a feature that is out of reach of Artificial Neural Networks without weight sharing or feature engineering.
Edit intent: clarity
Original:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Revised:  the emotional phenomenon has attracted for a few decades an increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Edit intent: fluency
Original:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Revised:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psychiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Edit intent: fluency
Original:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Revised:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Edit intent: coherence
Original:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Revised:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, so far , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Edit intent: fluency
Original:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Revised:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physics and Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Edit intent: fluency
Original:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a pre-cise description of the phenomenon of feeling an emotion.
Revised:  the emotional phenomenon has attracted for a few decadesan increasing number of studies, notably in the fields of Psychology, Psy-chiatry , Neuroscience and Biochemistry 1, 3, 2, 9, 11, 17, 16, 19, 20, 23,24, 25, 26, 32, 34 . However, since our perception of emotions is not, sofar , directly detectable nor recordable by our measure instruments, Physicsand Mathematics have not been so far used academically to provide a precise description of the phenomenon of feeling an emotion.
Edit intent: fluency
Original:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Revised:  Relying upon the works of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Edit intent: fluency
Original:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Revised:  Relying upon theworks of O. Elahi and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Edit intent: meaning-changed
Original:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Revised:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and its psyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Edit intent: fluency
Original:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Revised:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious manner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Edit intent: clarity
Original:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Revised:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Edit intent: coherence
Original:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a fewmathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Revised:  Relying upon theworks of O. Elahi 10, 14 and on the hypothesis that the human soul and itspsyche may manifest in ourselves (in both conscious and unconscious man-ner ) in an analog way as electromagnetic waves 13 , we propose here a few mathematical descriptions consistent with the human personal experience, of the feeling and cognition of emotions.
Edit intent: fluency
Original:  It allows a quantitative (intensity) and qualitative (nature of feelings/frequency) of the emotionalphenomenon which provides a novel scientific approach of the nature of the mind, complementary to the on going research of physiological manifesta-tion of emotions.
Revised:  It allows a quantitative (intensity) and qualitative (nature of feelings/frequency) of the emotional phenomenon which provides a novel scientific approach of the nature of the mind, complementary to the on going research of physiological manifesta-tion of emotions.
Edit intent: fluency
Original:  It allows a quantitative (intensity) and qualitative (nature of feelings/frequency) of the emotionalphenomenon which provides a novel scientific approach of the nature of the mind, complementary to the on going research of physiological manifesta-tion of emotions.
Revised:  It allows a quantitative (intensity) and qualitative (nature of feelings/frequency) of the emotionalphenomenon which provides a novel scientific approach of the nature of the mind, complementary to the on going research of physiological manifestation of emotions.
Edit intent: fluency
Original:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Revised:  In complement of the modeling of 4, 8 , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Edit intent: clarity
Original:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Revised:  In complement of the modeling of oscillationsand brain dynamics oscillations and brain dynamics , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Edit intent: meaning-changed
Original:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Revised:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Edit intent: clarity
Original:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Revised:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Edit intent: fluency
Original:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 , it provides a fruitful direction of research withpotentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Revised:  In complement of the modeling of oscillationsand brain dynamics 4, 8 , 28 , it provides a fruitful direction of research with potentially broad and deep impacts in both applied mathematics, physics, cognitive and behavioral sciences.
Edit intent: fluency
Original:  For example, our experiments on a challenging summarization task of long documents show that our method is much faster and up to 16 times more memory efficient while significantly outperforming both dense and state-of-the-art sparse transformer models.
Revised:  For example, our experiments on a challenging summarization task of long documents show that our method is over 3 times faster and up to 16 times more memory efficient while significantly outperforming both dense and state-of-the-art sparse transformer models.
Edit intent: meaning-changed
Original:  The motivation to introduce these new GPWs, amplitude-based, lies in the poor behavior of the phase-based GPWs in the pre-asymptotic regime, which will be addressed by avoiding high degree polynomials within an exponential.
Revised:  The motivation lies in the poor behavior of the phase-based GPWs in the pre-asymptotic regime, which will be addressed by avoiding high degree polynomials within an exponential.
Edit intent: coherence
Original:  The motivation to introduce these new GPWs, amplitude-based, lies in the poor behavior of the phase-based GPWs in the pre-asymptotic regime, which will be addressed by avoiding high degree polynomials within an exponential.
Revised:  The motivation to introduce these new GPWs, amplitude-based, lies in the poor behavior of the phase-based GPW approximations in the pre-asymptotic regime, which will be addressed by avoiding high degree polynomials within an exponential.
Edit intent: clarity
Original:  The motivation to introduce these new GPWs, amplitude-based, lies in the poor behavior of the phase-based GPWs in the pre-asymptotic regime, which will be addressed by avoiding high degree polynomials within an exponential.
Revised:  The motivation to introduce these new GPWs, amplitude-based, lies in the poor behavior of the phase-based GPWs in the pre-asymptotic regime, which will be tamed by avoiding high degree polynomials within an exponential.
Edit intent: clarity
Original:  For the sake of clarity, the first focus is on the two-dimensional Helmholtz equation with spatially varying wavenumber, and follows the extension to a range of operators allowing for anisotropy in the first and second order terms  . Numerical simulations illustrate the theoretical study of the new quasi-Trefftz functions.
Revised:  For the sake of clarity, the first focus is on the two-dimensional Helmholtz equation with spatially-varying wavenumber. The extension to a range of operators allowing for anisotropy in the first and second order terms . Numerical simulations illustrate the theoretical study of the new quasi-Trefftz functions.
Edit intent: coherence
Original:  For the sake of clarity, the first focus is on the two-dimensional Helmholtz equation with spatially varying wavenumber, and follows the extension to a range of operators allowing for anisotropy in the first and second order terms  . Numerical simulations illustrate the theoretical study of the new quasi-Trefftz functions.
Revised:  For the sake of clarity, the first focus is on the two-dimensional Helmholtz equation with spatially varying wavenumber, and follows the extension to a range of operators allowing for anisotropy in the first and second order terms follows . Numerical simulations illustrate the theoretical study of the new quasi-Trefftz functions.
Edit intent: coherence
Original:  For any TTI strategy, however, a major challenge arises from pre- and asymptomatic transmission as well as TTI-avoiders, which contribute to hidden , unnoticed infection chains.
Revised:  For any TTI strategy, however, a major challenge arises from pre- and asymptomatic transmission as well as TTI-avoiders, and undetected spreaders, who strongly contribute to hidden , unnoticed infection chains.
Edit intent: meaning-changed