wanyu/IteraTeR_v2 huggingface dataset:
Original:  . We then study infinitesimal homeostasis : points I_0 where dx_o{dI_0. Stability implies that there is a stable equilibrium X(I) for each I near I_0 and infinitesimal homeostasis occurs at \mathcal{I}_0 when (dx_o/d\mathcal{I})(\mathcal{I}} _0) = 0 by showing that there is a square homeostasis matrix H associated to \mathcal{G) for which dx_o/d\mathcal{I} = 0 if and only if } \det(H) = 0. Applying combinatorial matrix theory and graph theory to H allows us to classify types of homeostasis.
Revised:  . We then study infinitesimal homeostasis : points I_0 where dx_o{dI_0. Stability implies that there is a stable equilibrium X(I) for each I near I_0 and infinitesimal homeostasis occurs at \mathcal{I}_0 when (dx_o/d\mathcal{I})(\mathcal{I}} _0) = 0 by showing that there is a square homeostasis matrix H associated to \mathcal{G) for which dx_o/d\mathcal{I} = 0 if and only if } \det(H) = 0. We use combinatorial matrix theory and graph theory to H allows us to classify types of homeostasis.
Edit intent: coherence
Original:  Finally, we discover an algorithm for determining the homeostatic subnetwork motif corresponding to each factor of \det(H) without performing numerical simulations on model equations.
Revised:  Finally, we discover an algorithm for determining the homeostasis subnetwork motif corresponding to each factor of \det(H) without performing numerical simulations on model equations.
Edit intent: fluency
Original:  In this paper, we introduce a novel algorithm named Multi-Emitter MAP-Elites (ME-MAP-Elites) that improves the quality, diversity and convergence speed of MAP-Elites.
Revised:  In this paper, we introduce Multi-Emitter MAP-Elites (ME-MAP-Elites) that improves the quality, diversity and convergence speed of MAP-Elites.
Edit intent: clarity
Original:  ME-MAP-Elites leverages the diversity of a heterogeneous set of emitters, in which each emitter type is designed to improve differently the optimisation process .
Revised:  ME-MAP-Elites leverages the diversity of a heterogeneous set of emitters, in which each emitter type improves the optimisation process .
Edit intent: clarity
Original:  Moreover, in the rare cases where no fruitful synergy can be found between the different emitters, ME-MAP-Elites is equivalent to the best of the compared algorithms.
Revised:  Moreover, in cases where no fruitful synergy can be found between the different emitters, ME-MAP-Elites is equivalent to the best of the compared algorithms.
Edit intent: clarity
Original: Developing and selecting hearing aids is a time consuming process which could be simplified by using objective models.
Revised: Developing and selecting hearing aids is a time consuming process which is simplified by using objective models.
Edit intent: clarity
Original:  The framework for auditory discrimination experiments (FADE) accurately simulated the benefit of hearing aid algorithms .
Revised:  Previously, the framework for auditory discrimination experiments (FADE) accurately simulated the benefit of hearing aid algorithms .
Edit intent: coherence
Original:  The framework for auditory discrimination experiments (FADE) accurately simulated the benefit of hearing aid algorithms .
Revised:  The framework for auditory discrimination experiments (FADE) accurately simulated benefits of hearing aid algorithms .
Edit intent: fluency
Original:  We propose and evaluate a real-time optimized and data-reduced FADE version ( "ROR-FADE") which enables simulations of speech recognition thresholds (SRTs ) with about 30 minutes of recorded and potentially processed signals of the (German) matrix sentence test.
Revised:  We propose and evaluate a data-reduced FADE version ( "ROR-FADE") which enables simulations of speech recognition thresholds (SRTs ) with about 30 minutes of recorded and potentially processed signals of the (German) matrix sentence test.
Edit intent: clarity
Original:  We propose and evaluate a real-time optimized and data-reduced FADE version ( "ROR-FADE") which enables simulations of speech recognition thresholds (SRTs ) with about 30 minutes of recorded and potentially processed signals of the (German) matrix sentence test.
Revised:  We propose and evaluate a real-time optimized and data-reduced FADE version ( "ROR-FADE") which enables simulations of speech recognition thresholds (SRTs ) with about 30 minutes of recorded and processed signals of the (German) matrix sentence test.
Edit intent: clarity
Original:  The differences between ROR-FADE and FADE were small for stationary maskers (1 dB), but larger  with strongly fluctuating maskers (5 dB).
Revised:  The differences between ROR-FADE and FADE were small for stationary maskers (1 dB), but larger differences with strongly fluctuating maskers (5 dB).
Edit intent: fluency
Original:  Hearing impairment and hearing aid algorithms seemed to reduced the differences.
Revised:  Hearing impairment and hearing aid algorithms seemed to reduce the differences.
Edit intent: fluency
Original:  Consequently, ROR-FADE could be used for  model-based hearing aid fitting or for the development of hearing aids.
Revised:  Consequently, ROR-FADE could be used for model-based fitting of hearing aids.
Edit intent: clarity
Original: The idea to estimate the statistical interdependence among (interacting) EEG signals has motivated numerous researchers to investigate how the resulting networks may reorganize themselves under any conceivable scenario.
Revised: The idea to estimate the statistical interdependence among (interacting) EEG signals has motivated numerous researchers to investigate how the resulting connectivity patterns and networks may organize themselves under any conceivable scenario.
Edit intent: clarity
Original:  Even though this idea is not at initial stages, its  application is still far to be widespread.
Revised:  Even though this idea is not at initial stages, its practical application is still far to be widespread.
Edit intent: clarity
Original:  One concurrent cause may be related to the proliferation of different approaches that promise to catch the underlying correlation among the (interacting) units.
Revised:  One concurrent cause may be related to the proliferation of different approaches that aim to catch the underlying correlation among the (interacting) units.
Edit intent: clarity
Original:  Not only all these approaches go under the same name (functional connectivity)  but they have been often tested and validated using different methods, therefore, making it difficult to understand to what extent they are similar or not.
Revised:  Not only all these approaches go under the same name (functional connectivity) , but they have been often tested and validated using different methods, therefore, making it difficult to understand to what extent they are similar or not.
Edit intent: fluency
Original:  Our results show that source-level EEG functional connectivity estimates and the derived network measures display a substantial dependency on the arbitrary choice of the selected connectivity metric .
Revised:  As expected, our results show that source-level EEG functional connectivity estimates and the derived network measures display a substantial dependency on the arbitrary choice of the selected connectivity metric .
Edit intent: coherence
Original:  Our results show that source-level EEG functional connectivity estimates and the derived network measures display a substantial dependency on the arbitrary choice of the selected connectivity metric .
Revised:  Our results show that source-level EEG connectivity estimates and the derived network measures display a substantial dependency on the arbitrary choice of the selected connectivity metric .
Edit intent: clarity
Original:  Our results show that source-level EEG functional connectivity estimates and the derived network measures display a substantial dependency on the arbitrary choice of the selected connectivity metric .
Revised:  Our results show that source-level EEG functional connectivity estimates and the derived network measures display a substantial dependency on the (often arbitrary) choice of the selected connectivity metric .
Edit intent: clarity
Original:  The observed variability reflects ambiguity and concern that should be always discussed when reporting findings based on any connectivity metric.
Revised:  The observed variability reflects ambiguity and concern that should always be discussed when reporting findings based on any connectivity metric.
Edit intent: fluency
Original: Health threat from SARS-CoV-2 airborne infection has become a public emergency of international concern.
Revised: The health threat from SARS-CoV-2 airborne infection has become a public emergency of international concern.
Edit intent: fluency
Original:  We show that if aerosols and droplets follow semi-ballistic emission trajectories, then their horizontal range is proportional to the particle's diameter .
Revised:  We show that the cloud stopping range is proportional to the particle's diameter .
Edit intent: clarity
Original:  We also show{\cal  \pm \\%DIF > )  that aerosols and droplets can remain suspended for hours in the air , providing a health threat of airborne infection.
Revised:  We also show{\cal O \pm \\%DIF > ) that aerosols and droplets can remain suspended for hours in the air , providing a health threat of airborne infection.
Edit intent: fluency
Original:  We also show{\cal  \pm \\%DIF > )  that aerosols and droplets can remain suspended for hours in the air , providing a health threat of airborne infection.
Revised:  We also show{\cal (\pm \\%DIF > ) that aerosols and droplets can remain suspended for hours in the air , providing a health threat of airborne infection.
Edit intent: fluency
Original:  We demonstrate that temperature variation could cause an {\cal O}(\pm 8\\%DIF < ) effect in the puff stopping range for extreme ambient cold %DIF > ) effect in the puff stopping range for extreme ambient cold or warmth.
Revised:  We demonstrate that temperature variation could cause an {\cal O}(\pm 8\\%DIF < ) %DIF > ) effect in the puff stopping range for extreme ambient cold or warmth.
Edit intent: fluency
Original:  We give an introduction to a family of mathematical models (called "compartmental models") and discuss how the results of analyzing these models influence government policies and human behavior, such as encouraging  physical distancing to help slow the spread of the disease.
Revised:  In this article, we give an introduction to a family of mathematical models (called "compartmental models") and discuss how the results of analyzing these models influence government policies and human behavior, such as encouraging physical distancing to help slow the spread of the disease.
Edit intent: coherence
Original:  The best combinatorial analysis algorithms have a ``slightly subcubic'' O(n^3 / log n) complexity.
Revised:  The best combinatorial analysis algorithms have a "slightly subcubic" O(n^3 / log n) complexity.
Edit intent: fluency
Original:  Second, we formally attribute the ``cubic bottleneck'' to the need to solve D_1-reachability, which captures the semantics of pointer references/dereferences.
Revised:  Second, we formally attribute the "cubic bottleneck" to the need to solve D_1-reachability, which captures the semantics of pointer references/dereferences.
Edit intent: fluency
Original:  After showing these problems are well-posed in several cases, we consider the limitations to discrete conservation or balance in numerical schemes.
Revised:  After showing these problems are well-posed in several cases, we consider the limitations to discrete conservation in numerical schemes.
Edit intent: clarity
Original:  A free boundary in a region of negative source -- an ablation-caused margin -- turns out to be a barrier to exact balance for a numerical scheme ( in either a continuous- or discrete-space sense ).
Revised:  A free boundary in a region of negative source -- an ablation-caused margin -- turns out to be a barrier to exact conservation in either a continuous- or discrete-space sense ).
Edit intent: clarity
Original:  We propose computablea posteriori quantities which allow conservation-error accounting in finite volume and  element schemes.
Revised:  We propose computablea posteriori quantities which allow conservation-error bounds in finite volume and element schemes.
Edit intent: clarity
Original:  We propose computablea posteriori quantities which allow conservation-error accounting in finite volume and  element schemes.
Revised:  We propose computablea posteriori quantities which allow conservation-error accounting in finite volume and finite element schemes.
Edit intent: fluency
Original: A graph G is weakly \gamma-closed if every induced subgraph of G contains one vertex ~ v such that for each non-neighbor u of v it holds that |N(u)\cap N(v)|<\gamma.
Revised: A graph G is weakly \gamma-closed if every induced subgraph of G contains one vertex v such that for each non-neighbor u of v it holds that |N(u)\cap N(v)|<\gamma.
Edit intent: clarity
Original:  Moreover, we show that the problem of determining whether a weakly- \gamma-closed graph G has a subgraph on at least k vertices that belongs to a graph class G which is closed under taking subgraphs admits a kernel with at most \gamma k^2 vertices.
Revised:  Moreover, we show that the problem of determining whether a weakly \gamma-closed graph G has a subgraph on at least k vertices that belongs to a graph class G which is closed under taking subgraphs admits a kernel with at most \gamma k^2 vertices.
Edit intent: clarity
Original:  Finally, we provide fixed-parameter algorithms for Independent Dominating Set andDominating Clique when parameterized by \gamma+k where k is the solution size.
Revised:  Finally, we provide fixed-parameter algorithms for andDominating Clique when parameterized by \gamma+k where k is the solution size.
Edit intent: clarity
Original:  Finally, we provide fixed-parameter algorithms for Independent Dominating Set andDominating Clique when parameterized by \gamma+k where k is the solution size.
Revised:  Finally, we provide fixed-parameter algorithms for Independent Dominating Set Dominating Clique when parameterized by \gamma+k where k is the solution size.
Edit intent: fluency
Original:  Finally, we provide fixed-parameter algorithms for Independent Dominating Set andDominating Clique when parameterized by \gamma+k where k is the solution size.
Revised:  Finally, we provide fixed-parameter algorithms for Independent Dominating Set andIndependent Dominating Set and Dominating Clique when parameterized by \gamma+k where k is the solution size.
Edit intent: fluency
Original: With the advent of dedicated Deep Learning (DL) accelerators and neuromorphic processors , new opportunities are emerging for applying deep and Spiking Neural Network (SNN) algorithms to healthcare and biomedical applications at the edge.
Revised: The advent of dedicated Deep Learning (DL) accelerators and neuromorphic processors , new opportunities are emerging for applying deep and Spiking Neural Network (SNN) algorithms to healthcare and biomedical applications at the edge.
Edit intent: fluency
Original: With the advent of dedicated Deep Learning (DL) accelerators and neuromorphic processors , new opportunities are emerging for applying deep and Spiking Neural Network (SNN) algorithms to healthcare and biomedical applications at the edge.
Revised: With the advent of dedicated Deep Learning (DL) accelerators and neuromorphic processors has brought on new opportunities for applying both Deep and Spiking Neural Network (SNN) algorithms to healthcare and biomedical applications at the edge.
Edit intent: clarity
Original:  This can facilitate the advancement of the medical Internet of Things (IoT) systems and Point of Care (PoC) devices.
Revised:  This can facilitate the advancement of medical Internet of Things (IoT) systems and Point of Care (PoC) devices.
Edit intent: fluency
Original:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Revised:  In this paper, we provide a tutorial describing how various technologies including emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Edit intent: clarity
Original:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Revised:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Edit intent: clarity
Original:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Revised:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Edit intent: clarity
Original:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) technology can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Revised:  In this paper, we provide a tutorial describing how various technologies ranging from emerging memristive devices, to established Field Programmable Gate Arrays (FPGAs), and mature Complementary Metal Oxide Semiconductor (CMOS) can be used to develop efficient DL accelerators to solve a wide variety of diagnostic, pattern recognition, and signal processing problems in healthcare.
Edit intent: clarity
Original:  After providing the required background, we unify the sparsely distributed research on neural network and neuromorphic hardware implementations as applied to the healthcare domain.
Revised:  The tutorial is augmented with case studies of the vast literature on neural network and neuromorphic hardware implementations as applied to the healthcare domain.
Edit intent: clarity
Original:  After providing the required background, we unify the sparsely distributed research on neural network and neuromorphic hardware implementations as applied to the healthcare domain.
Revised:  After providing the required background, we unify the sparsely distributed research on neural network and neuromorphic hardware as applied to the healthcare domain.
Edit intent: clarity
Original:  In addition, we benchmark various hardware platforms by performing a biomedical electromyography (EMG) signal processing task and drawing comparisons among them in terms of inference delay and energy.
Revised:  We benchmark various hardware platforms by performing a biomedical electromyography (EMG) signal processing task and drawing comparisons among them in terms of inference delay and energy.
Edit intent: coherence
Original:  In addition, we benchmark various hardware platforms by performing a biomedical electromyography (EMG) signal processing task and drawing comparisons among them in terms of inference delay and energy.
Revised:  In addition, we benchmark various hardware platforms by performing a biomedical electromyography (EMG) signal processing task and drawing comparisons among them in terms of inference latency and energy.
Edit intent: fluency
Original:  Finally, we provide our analysis of the field and share a perspective on the advantages, disadvantages, challenges, and opportunities that different accelerators and neuromorphic processors introduce to healthcare and biomedical domains .
Revised:  Finally, we provide our analysis of the field and share a perspective on the advantages, disadvantages, challenges, and opportunities that various accelerators and neuromorphic processors introduce to healthcare and biomedical domains .
Edit intent: fluency
Original:  The paper also considers the Anderson acceleration algorithm under a new light and exploits a connection with Quasi-Newton methods, in order to establish local linear convergence results of Anderson-type techniques .
Revised:  The paper also considers the Anderson Acceleration method under a new light and exploits a connection with Quasi-Newton methods, in order to establish local linear convergence results of Anderson-type techniques .
Edit intent: clarity
Original:  The paper also considers the Anderson acceleration algorithm under a new light and exploits a connection with Quasi-Newton methods, in order to establish local linear convergence results of Anderson-type techniques .
Revised:  The paper also considers the Anderson acceleration algorithm under a new light and exploits a connection with quasi-Newton methods, in order to establish local linear convergence results of Anderson-type techniques .
Edit intent: fluency
Original:  The stereotypic pattern in early C. elegans embryo is  one of the most optimal solutions taking minimum time to achieve the cell number before gastrulation .
Revised:  The stereotypic pattern in C. elegans embryo is one of the most optimal solutions taking minimum time to achieve the cell number before gastrulation .
Edit intent: clarity
Original:  The stereotypic pattern in early C. elegans embryo is  one of the most optimal solutions taking minimum time to achieve the cell number before gastrulation .
Revised:  The stereotypic pattern in early C. elegans embryo is found to be one of the most optimal solutions taking minimum time to achieve the cell number before gastrulation .
Edit intent: clarity
Original:  We completely settle the computational complexity of this problem over acyclic hypergraphs.
Edit intent: coherence
Original:   Our result completely settles the computational complexity of binary polynomial optimization over acyclic hypergraphs .
Revised:  Our result completely settles the computational complexity of BPO over acyclic hypergraphs .
Edit intent: clarity
Original:  In fact, we observe that for \alpha-acyclic hypergraphs the problem is strongly NP-hard , and NP-hard to approximate within a constant factor larger than 16{17 provided that P \neq NP}  .
Revised:  In fact, we observe that for \alpha-acyclic hypergraphs the problem is NP-hard , and NP-hard to approximate within a constant factor larger than 16{17 provided that P \neq NP} .
Edit intent: clarity
Original:  In fact, we observe that for \alpha-acyclic hypergraphs the problem is strongly NP-hard , and NP-hard to approximate within a constant factor larger than 16{17 provided that P \neq NP}  .
Revised:  In fact, we observe that for \alpha-acyclic hypergraphs the problem is strongly NP-hard , and NP-hard to approximate within a constant factor larger than 16{17 provided that P \neq NP} on \alpha-acyclic instances .
Edit intent: clarity