wanyu/IteraTeR_v2 huggingface dataset:
Original:  Functional data acquired with matrix assisted laser desorption ionization (MALDI) IMS consist of tens of thousands of spectra, measured at regular grid points across the surface of a tissue section.
Revised:  Mass spectrometry data acquired with matrix assisted laser desorption ionization (MALDI) IMS consist of tens of thousands of spectra, measured at regular grid points across the surface of a tissue section.
Edit intent: clarity
Original:  We work with the derived binary data representing presence/absence ' of ions as this is the essential information in the data.
Revised:  We work with the derived binary data representing presence/absence of ions, as this is the essential information in the data.
Edit intent: fluency
Original:  The combined smoothing-clustering yields spatially localized clusters that clearly show the correspondence with cancer and various non-cancerous tissue types.
Revised:  The combined smoothing-clustering yields spatially localized clusters that clearly show the correspondence with cancer and various noncancerous tissue types.
Edit intent: fluency
Original:  Feature extraction of the high-dimensional binary data is accomplished with our difference in proportions of occurrence (DIPPS) approach which ranks the variables and selects the optimal number of ranked variables in a data-driven manner.
Revised:  Feature extraction of the high-dimensional binary data is accomplished with our difference in proportions of occurrence (DIPPS) approach which ranks the variables and selects a set of variables in a data-driven manner.
Edit intent: clarity
Original: Connection topologies of many networked systems like human brain, biological cell, world wide web, power grids, human society and ecological food webs markedly deviate from that of completely random networks indicating the presence of organizing principles behind their evolution .
Revised: Connection topologies of many networked systems like human brain, biological cell, human society and ecological food webs markedly deviate from that of completely random networks indicating the presence of organizing principles behind their evolution .
Edit intent: clarity
Original: Connection topologies of many networked systems like human brain, biological cell, world wide web, power grids, human society and ecological food webs markedly deviate from that of completely random networks indicating the presence of organizing principles behind their evolution .
Revised: Connection topologies of many networked systems like human brain, biological cell, world wide web, power grids, human society and World Wide Web markedly deviate from that of completely random networks indicating the presence of organizing principles behind their evolution .
Edit intent: clarity
Original:  We anticipate that this mechanism will shed new light on percolation and robustness properties of real world networks as well as would give new insights in processes like epidemics spreading and emergent dynamics taking place on them .
Revised:  We anticipate that this mechanism will shed new light on percolation and robustness properties of real world networks as well as processes happening on real networks .
Edit intent: clarity
Original: Purpose: Impact of science is one of the most important topics in scientometrics.
Revised:  Impact of science is one of the most important topics in scientometrics.
Edit intent: coherence
Original:  Approach: Since impact measurement is currently in a state of far reaching changes, this paper describes recent developments and facing problems in this area.
Revised:  Since impact measurement is currently in a state of far reaching changes, this paper describes recent developments and facing problems in this area.
Edit intent: coherence
Original:  Results: The paper discusses how impact is generally measured within science and beyond (section 2), which effects impact measurements have on the science system (section 3), and which problems are associated with impact measurement (section 4).
Revised:  The paper discusses how impact is generally measured within science and beyond (section 2), which effects impact measurements have on the science system (section 3), and which problems are associated with impact measurement (section 4).
Edit intent: coherence
Original: Lyubashevsky Micciancio (2006)built collision resistant hash functions based on ideal lattices (\langle \rangle  in the univariate case ) that in turn paved the way for the construction of other cryptographic primitives.
Revised:  Micciancio (2006)built collision resistant hash functions based on ideal lattices (\langle \rangle in the univariate case ) that in turn paved the way for the construction of other cryptographic primitives.
Edit intent: clarity
Original:  We show that using Gr\"obner basis techniques an analogous theory can be developed for the multivariate case, opening up an area of possibilities for cryptographic primitives based on ideal lattices .
Revised:  We show that using Gr\"obner basis techniques .
Edit intent: coherence
Original:  We define a worst case problem, shortest polynomial problem w.r.t. an ideal in \mathbb{Z[x_1,\ldots, x_n], and establish hardness results using functional } fields.
Revised:  We define a worst case problem, shortest polynomial problem w.r.t. an ideal in \mathbb{Z[x_1,\ldots, x_n], and establish hardness results using functional } fields.
Edit intent: fluency
Original:  Following Buuchi 's approach, we introduce a variant of monadic second-order logic with data equality tests that captures precisely the data languages recognizable by orbit finite data monoids.
Revised:  Following Buchi 's approach, we introduce a variant of monadic second-order logic with data equality tests that captures precisely the data languages recognizable by orbit finite data monoids.
Edit intent: fluency
Original:  In contrast, information theory metrics can quantify how arrhythmia impacts the sharing of information between individual cells.
Edit intent: clarity
Original:  The Shannon entropy for each cell and the mutual information between each pair of cells were calculated from the time series during normal heartbeats, spiral wave, anatomical reentry, and multiple wavelets.
Revised:  The Shannon entropy for each cell was calculated from the time series during normal heartbeats, spiral wave, anatomical reentry, and multiple wavelets.
Edit intent: clarity
Original:  The Shannon entropy for each cell and the mutual information between each pair of cells were calculated from the time series during normal heartbeats, spiral wave, anatomical reentry, and multiple wavelets.
Revised:  The Shannon entropy for each cell and the mutual information between each pair of cells were calculated from the time series during four clinically important heart rhythms: normal heartbeat, anatomical reentry, and multiple wavelets.
Edit intent: clarity
Original:  We found that information sharing between cells was spatially heterogeneous on the simple lattice structure .
Revised:  We found that information sharing between cells was spatially heterogeneous .
Edit intent: clarity
Original:  In addition,  arrhythmia significantly impacted information sharing within the heart.
Revised:  In addition, cardiac arrhythmia significantly impacted information sharing within the heart.
Edit intent: clarity
Original:  Furthermore, entropy localized the path of the drifting core of the spiral wave , which could be an optimal target of therapeutic ablation.
Revised:  Furthermore, entropy localized the path of the drifting core of spiral reentry , which could be an optimal target of therapeutic ablation.
Edit intent: clarity
Original:  The traditional concept of the heart as a functional syncytium sharing electrical information via gap junctions cannot predict altered entropy and information sharing during complex arrhythmia.
Revised:  The traditional concept of the heart as a functional syncytium sharing electrical information cannot predict altered entropy and information sharing during complex arrhythmia.
Edit intent: clarity
Original:  Based on a non-rigorous but analytic approach called the "cavity method", physicists have predicted that in many diluted mean-field models a phase transition occurs as the inverse temperature grows from 0 to \infty  .
Revised:  Based on a nonrigorous but analytic approach called the "cavity method", physicists have predicted that in many diluted mean-field models a phase transition occurs as the inverse temperature grows from 0 to \infty .
Edit intent: fluency
Original:  In this paper  we establish the existence and asymptotic location of this so-called condensation phase transition in the random hypergraph 2-coloring problem.
Revised:  In this paper , we establish the existence and asymptotic location of this so-called condensation phase transition in the random hypergraph 2-coloring problem.
Edit intent: fluency
Original: In previous work, we developed the scaled SIS process, which models the dynamics of SIS epi- demics over networks.
Revised: In previous work, we developed the scaled SIS process, which models the dynamics of SIS epidemics over networks.
Edit intent: fluency
Original:  With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we ar not restricted to specific classes of networks).
Revised:  With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we are not restricted to specific classes of networks).
Edit intent: fluency
Original:  This closed-form solution of the equilibrium distribu- tion explicitly exhibits the underlying network topology through its adjacency matrix.
Revised:  This closed-form solution of the equilibrium distribution explicitly exhibits the underlying network topology through its adjacency matrix.
Edit intent: fluency
Original:  We prove that, for a range of epi- demics parameters, this combinatorial problem leads to a submodular optimization problem, which is exactly solvable in polynomial time.
Revised:  We prove that, for a range of epidemics parameters, this combinatorial problem leads to a submodular optimization problem, which is exactly solvable in polynomial time.
Edit intent: fluency
Original: Recently, Ross suggested that it is possible to recover an objective measure from a risk-neutral measure.
Revised: Recently, Ross showed that it is possible to recover an objective measure from a risk-neutral measure.
Edit intent: clarity
Original:  Many authors have proven that if X is recurrent under the objective measure, then recovery is possible.
Revised:  It was proven that if X is recurrent under the objective measure, then recovery is possible.
Edit intent: clarity
Original:  In this article, when X is transient under the objective measure, we investigate what information is necessary and sufficient to recover .
Revised:  In this article, when X is transient under the objective measure, we investigate what information is sufficient to recover .
Edit intent: clarity
Original:  Download options of search results, whole-proteomes , organelle-specific interactomes , and subcellular localization data are available on its website.
Revised:  Download options of search results, whole proteomes , organelle-specific interactomes , and subcellular localization data are available on its website.
Edit intent: fluency
Original:  Download options of search results, whole-proteomes , organelle-specific interactomes , and subcellular localization data are available on its website.
Revised:  Download options of search results, whole-proteomes , organelle-specific interactomes and subcellular localization data are available on its website.
Edit intent: fluency
Original:  To solve it, we develop two algorithms based on Monte Carlo sampling : Benders decomposition algorithm and projected stochastic gradient descent.
Revised:  To solve it, we develop two algorithms based on : Benders decomposition algorithm and projected stochastic gradient descent.
Edit intent: coherence
Original: High-density ensemble recordings from the neocortex of human and monkey  were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Revised: Ensemble recordings from the neocortex of human and monkey were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Edit intent: clarity
Original: High-density ensemble recordings from the neocortex of human and monkey  were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Revised: High-density ensemble recordings from the human and monkey were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Edit intent: clarity
Original: High-density ensemble recordings from the neocortex of human and monkey  were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Revised: High-density ensemble recordings from the neocortex of human and monkey neocortex were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Edit intent: clarity
Original: High-density ensemble recordings from the neocortex of human and monkey  were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Revised: High-density ensemble recordings from the neocortex of human and monkey were used to categorize units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Edit intent: clarity
Original: High-density ensemble recordings from the neocortex of human and monkey  were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike waveform features and functional interactions.
Revised: High-density ensemble recordings from the neocortex of human and monkey were used to categorize large ensembles of units into regular-spiking (RS) and fast-spiking (FS) cells based on spike-waveform features and functional interactions.
Edit intent: fluency
Original:  We adapted renormalization methods to evaluate the static and dynamic aspects of multiscale balance of these two interacting groups of cells .
Revised:  We adapted renormalization to evaluate the static and dynamic aspects of multiscale balance of these two interacting groups of cells .
Edit intent: clarity
Original:  We adapted renormalization methods to evaluate the static and dynamic aspects of multiscale balance of these two interacting groups of cells .
Revised:  We adapted renormalization methods to evaluate the static / dynamic aspects of multiscale balance of these two interacting groups of cells .
Edit intent: fluency
Original:  We adapted renormalization methods to evaluate the static and dynamic aspects of multiscale balance of these two interacting groups of cells .
Revised:  We adapted renormalization methods to evaluate the static and dynamic aspects of balance of these two interacting groups of cells .
Edit intent: clarity
Original:  We adapted renormalization methods to evaluate the static and dynamic aspects of multiscale balance of these two interacting groups of cells .
Revised:  We adapted renormalization methods to evaluate the static and dynamic aspects of multiscale balance of these two interacting cell groups .
Edit intent: clarity
Original:  We found that the distribution of ensemble magnitude is similar for FS and RS cells at all scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of  E-I  ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Revised:  We found that the ensemble magnitude distribution is similar for FS and RS cells at all scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of E-I ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Edit intent: clarity
Original:  We found that the distribution of ensemble magnitude is similar for FS and RS cells at all scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of  E-I  ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Revised:  We found that the distribution of ensemble magnitude is similar for both groups at multiple scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of E-I ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Edit intent: clarity
Original:  We found that the distribution of ensemble magnitude is similar for FS and RS cells at all scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of  E-I  ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Revised:  We found that the distribution of ensemble magnitude is similar for FS and RS cells at all scales, demonstrating an overall balanced activity . Scaling the ensemble series to a matrix of E-I ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Edit intent: clarity
Original:  We found that the distribution of ensemble magnitude is similar for FS and RS cells at all scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of  E-I  ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Revised:  We found that the distribution of ensemble magnitude is similar for FS and RS cells at all scales, demonstrating that excitatory and inhibitory activity are well balanced . Scaling the ensemble series to a matrix of E-I ) ensemble pairs, enabled us to quantify the fine details of dynamic features of excitation and inhibition in each brain state and in comparison to one another.
Edit intent: fluency
Original:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Revised:  Minor deviations were found in light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Edit intent: fluency
Original:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Revised:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Edit intent: fluency
Original:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Revised:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness . Deep SWS showed moderate deviations . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Edit intent: clarity
Original:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Revised:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a multiscale break-down of this balanced activity during instances of focal seizures .
Edit intent: clarity
Original:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Revised:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of balance during instances of focal seizures .
Edit intent: clarity
Original:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizures .
Revised:  Minor deviations were found for light slow-wave sleep (SWS), Rapid Eye Movement (REM) sleep , and wakefulness , with moderate deviationsfrom the plane of symmetry and absolute balance found for deep SWS . In contrast, we observed a complete break-down of this balanced activity during instances of focal seizure .
Edit intent: fluency
Original:  In conclusion, large ensemble of units show a remarkable excitatory and inhibitory balance , at multiple temporal scales, and for all brain states, except seizures, showing that balanced excitation-inhibition is a fundamental feature of normal brain activity.
Revised:  In conclusion, cortex shows a multiscale E-I balance for all brain states, except seizures, showing that balanced excitation-inhibition is a fundamental feature of normal brain activity.
Edit intent: clarity
Original:  In conclusion, large ensemble of units show a remarkable excitatory and inhibitory balance , at multiple temporal scales, and for all brain states, except seizures, showing that balanced excitation-inhibition is a fundamental feature of normal brain activity.
Revised:  In conclusion, large ensemble of units show a remarkable excitatory and inhibitory balance , at multiple temporal scales, and for all brain states, except seizures, showing that balanced E-I is a fundamental feature of normal brain activity.
Edit intent: clarity