wanyu/IteraTeR_v2 huggingface dataset:
Original:  The perception of the illusory contour was measurable in the luminance profile of the image reconstructions produced by the model, demonstrating that the model really "sees" the illusion.
Revised:  The perception of the illusory contour was measurable in the luminance profile of the image reconstructions produced by the model, demonstrating that the model really ''sees'' the illusion.
Edit intent: fluency
Original: Guarded recursion is a powerful modal approach to recursion that can be seen as an abstract form of step-indexing .
Revised: Guarded recursion is a powerful modal approach to recursion that can be seen as an abstract form of step- indexing .
Edit intent: fluency
Original:  This paper presents the first denotational model of a type theory combining multi-clocked guarded recursion with the features of Cubical Type Theory  .
Revised:  This paper presents the first type theory combining multi-clocked guarded recursion with the features of Cubical Type Theory .
Edit intent: clarity
Original: A rectangular dual of a graph G is a contact representation of G by axis-aligned rectangles such that (i)  no four rectangles share a point and (ii)  the union of all rectangles is a rectangle.
Revised: A rectangular dual of a graph G is a contact representation of G by axis-aligned rectangles such that (i) ~ no four rectangles share a point and (ii) the union of all rectangles is a rectangle.
Edit intent: fluency
Original: A rectangular dual of a graph G is a contact representation of G by axis-aligned rectangles such that (i)  no four rectangles share a point and (ii)  the union of all rectangles is a rectangle.
Revised: A rectangular dual of a graph G is a contact representation of G by axis-aligned rectangles such that (i) no four rectangles share a point and (ii) ~ the union of all rectangles is a rectangle.
Edit intent: fluency
Original:  One the one hand, we characterise the RELs that admit an extension, which leads to a linear-time testing algorithm.
Revised:  On the one hand, we characterise the RELs that admit an extension, which leads to a linear-time testing algorithm.
Edit intent: fluency
Original:  In particular, the formation and evolution of galaxies, including our own, is a wide field of research in astronomy .
Revised:  In particular, the formation and evolution of galaxies, including our own, is a wide field of research .
Edit intent: clarity
Original:   We present a novel approach to reconstruct and visualise 3D representations of  galaxies based on observational data , using the scientific visualisation software Splotch to generate high quality visual representations that provide a new perspective of galaxies nearby the Milky Way .
Revised:  We present a novel approach to reconstruct and visualise 3D representations of nearby galaxies based on observational data , using the scientific visualisation software Splotch to generate high quality visual representations that provide a new perspective of galaxies nearby the Milky Way .
Edit intent: fluency
Original:   We present a novel approach to reconstruct and visualise 3D representations of  galaxies based on observational data , using the scientific visualisation software Splotch to generate high quality visual representations that provide a new perspective of galaxies nearby the Milky Way .
Revised:  We present a novel approach to reconstruct and visualise 3D representations of galaxies based on observational data using the scientific visualisation software Splotch to generate high quality visual representations that provide a new perspective of galaxies nearby the Milky Way .
Edit intent: fluency
Original:  In this paper, the QPIR setting is extended to account for more flexible collusion of servers satisfying t < n-k +1.
Revised:  In this paper, the QPIR setting is extended to allow for retrieval with high rate for any number of colluding servers t with 1 \leq t \leq n-k +1.
Edit intent: clarity
Original:  In this paper, the QPIR setting is extended to account for more flexible collusion of servers satisfying t < n-k +1.
Revised:  In this paper, the QPIR setting is extended to account for more flexible collusion of servers satisfying t < n-k .
Edit intent: clarity
Original:  When the target function is given over the whole time horizon also convergence of a subsequence of time discrete optimal controls to a global minimizer of the time continuous problem can be shown.
Revised:  Also convergence of a subsequence of time discrete optimal controls to a global minimizer of the time continuous problem can be shown.
Edit intent: coherence
Original:  This Interim Report is made available to get feedback on the approach and on the templates.
Revised:  This report is made available to get feedback on the approach and on the templates.
Edit intent: clarity
Original:  This work is being sponsored by the UK Dstl under the R-cloud framework.
Revised:  This work was sponsored by the UK Dstl under the R-cloud framework.
Edit intent: fluency
Original:  We propose a new simple procedure "population mean based aggregation " to achieve this goal.
Revised:  We propose a new simple procedure population mean based aggregation " to achieve this goal.
Edit intent: fluency
Original:  We propose a new simple procedure "population mean based aggregation " to achieve this goal.
Revised:  We propose a new simple procedure " " to achieve this goal.
Edit intent: clarity
Original:  It only requires eliciting agents' beliefs about the state, and also eliciting some agents' expectations of the average belief in the population.
Revised:  The procedure only requires eliciting agents' beliefs about the state, and also eliciting some agents' expectations of the average belief in the population.
Edit intent: clarity
Original:  The procedure can accommodate correlation in agents' information, misspecified beliefs, any finite number of possible states of the world, and only requires very weak assumptions on the information structure.
Revised:  The procedure can accommodate correlations in agents' information, misspecified beliefs, any finite number of possible states of the world, and only requires very weak assumptions on the information structure.
Edit intent: fluency
Original:  Nevertheless, it is challenging to capture them from the genome-wide data due to the large number of molecular features and small number of available samples, which is also called " the curse of dimensionality " in machine learning.
Revised:  Nevertheless, it is challenging to capture them from the genome-wide data due to the large number of molecular features and small number of available samples, which is also called ' the curse of dimensionality " in machine learning.
Edit intent: fluency
Original:  Nevertheless, it is challenging to capture them from the genome-wide data due to the large number of molecular features and small number of available samples, which is also called " the curse of dimensionality " in machine learning.
Revised:  Nevertheless, it is challenging to capture them from the genome-wide data due to the large number of molecular features and small number of available samples, which is also called " the curse of dimensionality ' in machine learning.
Edit intent: fluency
Original:  To tackle this problem and pave the way for machine learning aided precision medicine, we proposed a unified multi-task deep learning framework called OmiEmbed to capture a holistic and relatively precise profile of phenotype from high-dimensional omics data  .
Revised:  To tackle this problem and pave the way for machine learning aided precision medicine, we proposed a unified multi-task deep learning framework named OmiEmbed to capture a holistic and relatively precise profile of phenotype from high-dimensional omics data .
Edit intent: fluency
Original:  To tackle this problem and pave the way for machine learning aided precision medicine, we proposed a unified multi-task deep learning framework called OmiEmbed to capture a holistic and relatively precise profile of phenotype from high-dimensional omics data  .
Revised:  To tackle this problem and pave the way for machine learning aided precision medicine, we proposed a unified multi-task deep learning framework called OmiEmbed to capture biomedical information from high-dimensional omics data .
Edit intent: clarity
Original:  The deep embedding module of OmiEmbed learnt an omics embedding that mapped multiple omics data types into a latent space with lower dimensionality.
Revised:  The deep embedding module learnt an omics embedding that mapped multiple omics data types into a latent space with lower dimensionality.
Edit intent: clarity
Original:  Based on the new representation of multi-omics data, different downstream networks of OmiEmbed were trained together with the multi-task strategy to predict the comprehensive phenotype profile of each sample.
Revised:  Based on the new representation of multi-omics data, different downstream task modules were trained simultaneously and efficiently with the multi-task strategy to predict the comprehensive phenotype profile of each sample.
Edit intent: clarity
Original:  this generalizes a classic result established by [Gar59] who showed homogeneous polynomials that have no roots in a half-plane must be log-concave over the positive orthant.
Revised:  this extends a classic result established by [Gar59] who showed homogeneous polynomials that have no roots in a half-plane must be log-concave over the positive orthant.
Edit intent: clarity
Original:  Next, we develop a fluid model  that approximates the evolution of the stochastic model  and captures explicitly the nonlinear dependence between the amount of demand and supply waiting and the distribution of their patience times.
Revised:  Next, we develop a fluid model , that approximates the evolution of the stochastic model and captures explicitly the nonlinear dependence between the amount of demand and supply waiting and the distribution of their patience times.
Edit intent: fluency
Original:  Next, we develop a fluid model  that approximates the evolution of the stochastic model  and captures explicitly the nonlinear dependence between the amount of demand and supply waiting and the distribution of their patience times.
Revised:  Next, we develop a fluid model that approximates the evolution of the stochastic model , and captures explicitly the nonlinear dependence between the amount of demand and supply waiting and the distribution of their patience times.
Edit intent: fluency
Original:  The model provides precious information on the tight relationship between the variation of the reported infection cases and a well defined observable physical quantity: the average number of people that lie within the daily displacement radius of any single person.
Revised:  The model provides precious information on the tight relationship between the variation of the reported infection cases and a well defined observable physical quantity: the average number of people that lie within the daily displacement area of any single person.
Edit intent: clarity
Original: We introduce Ivy, a templated Deep Learning (DL) framework which abstracts existing DL frameworks such that their core functions all exhibit consistent call signatures, syntax and input-output behaviour.
Revised: We introduce Ivy, a templated Deep Learning (DL) framework which abstracts existing DL frameworks . Ivy unifies the core functions of these frameworks to exhibit consistent call signatures, syntax and input-output behaviour.
Edit intent: clarity
Original:  Ivy allows high-level framework-agnostic functions to be implemented through the use of framework templates.
Revised:  New high-level framework-agnostic functions to be implemented through the use of framework templates.
Edit intent: coherence
Original:  Alongside Ivy, we release four pure-Ivy libraries for mechanics, 3D vision, robotics, and differentiable environments.
Revised:  We also release four pure-Ivy libraries for mechanics, 3D vision, robotics, and differentiable environments.
Edit intent: clarity
Original:  The transformations are computable in polynomial time, preserve the number of observable events, and determinism.
Edit intent: coherence
Original:  Namely, we improve the algorithmic complexity of deciding language-based opacity, infinite-step opacity, and K-step opacity, and provide a complete and improved complexity picture of the verification of the discussed notions of  opacity.
Revised:  Namely, we improve the algorithmic complexity of deciding language-based opacity, infinite-step opacity, and K-step opacity, and provide a complete and improved complexity picture of the verification of the discussed notions of opacity, and improve the algorithmic complexity of deciding language-based opacity, infinite-step opacity, and K-step opacity.
Edit intent: coherence
Original:  In this paper  show that every subgraph of a wheel graph has list coupled chromatic number at most 5.
Revised:  In this paper we show that every subgraph of a wheel graph has list coupled chromatic number at most 5.
Edit intent: fluency
Original:  We further show that this bound is tight for every wheel graph with at least 5 vertices .
Revised:  We further show that `5' is tight for every wheel graph with at least 5 vertices .
Edit intent: clarity
Original:  This paper extends EMFD by using the kernel density estimation method (EMFD-KDE) , which results in increased stability and robustness against small fluctuations in the parameters of sound sources .
Revised:  This paper extends EMFD by using the kernel density estimation method , which results in increased stability and robustness against small fluctuations in the parameters of sound sources .
Edit intent: clarity
Original:  The MFD-VL signature describes several features of the time varying envelope for long periods of time.
Revised:  The MFD-VL signature describes several features of the time-varying envelope for long periods of time.
Edit intent: fluency
Original:  The descriptiveness of EMFD-KDE and MFD-VL is evaluated through experiments on the similarity search of environmental sounds.
Revised:  The MFD-VL is evaluated through experiments on the similarity search of environmental sounds.
Edit intent: clarity
Original: In this paper we introduce the notion of Modal Software Engineering: automatically turning sequential, deterministic programs into semantically equivalent programs efficiently operating on inputs coming from multiple intersecting worlds.
Revised: In this paper we introduce the notion of Modal Software Engineering: automatically turning sequential, deterministic programs into semantically equivalent programs efficiently operating on inputs coming from multiple overlapping worlds.
Edit intent: clarity
Original:  Typically those sets highly overlap, so processing them independently would result in a lot of redundancy, resulting in lower performance, and in many cases intractability.
Revised:  Typically those sets highly overlap, so processing them independently would involve a lot of redundancy, resulting in lower performance, and in many cases intractability.
Edit intent: clarity
Original: Building domain-specific architectures for autonomous aerial robots is challenging due to a lack of systematic methodology for designing onboard compute.
Revised: Building domain-specific accelerators for autonomous unmanned aerial vehicles (UAVs) is challenging due to a lack of systematic methodology for designing onboard compute.
Edit intent: clarity
Original:  We introduce a novel performance model called the F-1 roofline to help architects understand how to build a balanced computing system for autonomous aerial robots considering both its cyber ( sensor rate, compute performance) and physical components (body-dynamics) that affect the performanceof the machine.
Revised:  Balancing a computing system for autonomous aerial robots considering both its cyber ( sensor rate, compute performance) and physical components (body-dynamics) that affect the performanceof the machine.
Edit intent: coherence
Original:  We introduce a novel performance model called the F-1 roofline to help architects understand how to build a balanced computing system for autonomous aerial robots considering both its cyber ( sensor rate, compute performance) and physical components (body-dynamics) that affect the performanceof the machine.
Revised:  We introduce a novel performance model called the F-1 roofline to help architects understand how to build a balanced computing system for a UAV requires considering both the cyber (e.g., sensor rate, compute performance) and physical components (body-dynamics) that affect the performanceof the machine.
Edit intent: clarity
Original:  This push-button framework automates the co-design of cyber-physical components for aerial robots from a high-level specification guided by the F-1 model .
Revised:  This push-button framework automates the co-design .
Edit intent: clarity
Original:  The model is closely related to the classical ferromagnetic Ising and Potts models and is often viewed as a generalization of these models .
Revised:  The model is closely related to the classical ferromagnetic Ising and Potts models .
Edit intent: clarity
Original:  At last, we presented several explanations to the phenomenon which can be explored in further research.
Revised:  At last, we supposed several explanations to the phenomenon which can be explored in further research.
Edit intent: clarity
Original:  A similar approach was proposed recently in [ 2, 3 ], however, only for a O(h)-method.
Revised:  A similar approach was proposed recently in [ 2, 3 ], however, only for an O(h)-method.
Edit intent: fluency
Original:  Hence, we compare our new strategy to their method on two examples (Airy function on the spatial interval [0,\,10^{8}] with one turning point at x=0 and  a parabolic cylinder function having two turning points), and illustrate the advantages of the new approach w.r.t.\ accuracy and efficiency.
Revised:  Hence, we compare our new strategy to their method on two examples (Airy function on the spatial interval [0,\,10^{8}] with one turning point at x=0 and on a parabolic cylinder function having two turning points), and illustrate the advantages of the new approach w.r.t.\ accuracy and efficiency.
Edit intent: fluency
Original:  We prove that, as p varies, the dimension of the coordinate ring of  the scheme of n-jets as a C-vector space is a polynomial of degree n+1, namely the Erhart polynomial of the stable set polytope of that graph.
Revised:  We prove that, as p varies, the dimension of the coordinate ring of the scheme of n-jets as a C-vector space is a polynomial of degree n+1, namely the Ehrhart polynomial of the stable set polytope of that graph.
Edit intent: fluency
Original:  We study (m,n)-jets, a higher-dimensional analog of jets, and relate them to regular unimodular triangulations of the m\times n-rectangle .
Revised:  We study (m,n)-jets, a higher-dimensional analog of jets, and relate them to regular unimodular triangulations .
Edit intent: clarity
Original: In recent years, the number of Linked Data Fragment (LDF) interfaces to query RDF data on the Web has increased .
Revised: Linked Data Fragments (LDFs) refer to Web interfaces that allow for accessing and querying Knowledge Graphs on the Web has increased .
Edit intent: clarity
Original: In recent years, the number of Linked Data Fragment (LDF) interfaces to query RDF data on the Web has increased .
Revised: In recent years, the number of Linked Data Fragment (LDF) interfaces to query RDF data on the Web .
Edit intent: clarity
Original:  These interfaces  differ in the SPARQL expressions they can evaluate and  metadata they provide.
Revised:  These interfaces differ in the SPARQL expressions they can evaluate and the metadata they provide.
Edit intent: fluency
Original:  Client-side query processing approaches have been proposed and are optimized to evaluate queries over individual interfaces.
Revised:  Client-side query processing approaches have been proposed and are tailored to evaluate queries over individual interfaces.
Edit intent: clarity
Original:  Moreover, federated query processing has focused on federations with a single type of LDF interface only , typically SPARQL endpoints.
Revised:  Moreover, federated query processing has focused on federations with a single type of LDF interface , typically SPARQL endpoints.
Edit intent: clarity
Original:  To this end, we formalize the concept of federations of Linked Data Fragment services and propose a framework for federated querying over heterogeneous federations with different LDF interfaces.
Revised:  To this end, we formalize the concept of federations of Linked Data Fragment and propose a framework for federated querying over heterogeneous federations with different LDF interfaces.
Edit intent: clarity
Original:  Further, we propose an approach for each component of our framework and evaluate these approaches in an experimental study on the well-known FedBench benchmark.
Revised:  Further, we propose an approach for each component of our framework and evaluate them in an experimental study on the well-known FedBench benchmark.
Edit intent: clarity
Original:  The results show a substantial improvement in performance that can be achieved by devising these interface-aware approaches to exploit the capabilities of heterogeneous interfaces in the federation .
Revised:  The results show a substantial improvement in performance achieved by devising these interface-aware approaches to exploit the capabilities of heterogeneous interfaces in the federation .
Edit intent: clarity
Original:  The results show a substantial improvement in performance that can be achieved by devising these interface-aware approaches to exploit the capabilities of heterogeneous interfaces in the federation .
Revised:  The results show a substantial improvement in performance that can be achieved by devising these interface-aware approaches exploiting the capabilities of heterogeneous interfaces in the federation .
Edit intent: fluency
Original:  The results show a substantial improvement in performance that can be achieved by devising these interface-aware approaches to exploit the capabilities of heterogeneous interfaces in the federation .
Revised:  The results show a substantial improvement in performance that can be achieved by devising these interface-aware approaches to exploit the capabilities of heterogeneous interfaces in federations .
Edit intent: clarity
Original:  In this paper, we introduce baller2vec, a multi-entity generalization of the standard Transformer that  , with minimal assumptions, can simultaneously and efficiently integrate information across entities and time.
Revised:  In this paper, we introduce baller2vec, a multi-entity generalization of the standard Transformer that , with minimal assumptions, simultaneously and efficiently integrate information across entities and time.
Edit intent: coherence
Original:  We test the effectiveness of baller2vec for multi-agent spatiotemporal modeling by training it to perform two different basketball-related tasks: (1) simultaneously forecasting the trajectories of all players on the court and (2) forecasting the trajectory of the ball.
Revised:  We test the effectiveness of baller2vec for multi-agent spatiotemporal modeling by training it to perform two different basketball-related tasks: (1) simultaneously modeling the trajectories of all players on the court and (2) forecasting the trajectory of the ball.
Edit intent: clarity
Original:  We test the effectiveness of baller2vec for multi-agent spatiotemporal modeling by training it to perform two different basketball-related tasks: (1) simultaneously forecasting the trajectories of all players on the court and (2) forecasting the trajectory of the ball.
Revised:  We test the effectiveness of baller2vec for multi-agent spatiotemporal modeling by training it to perform two different basketball-related tasks: (1) simultaneously forecasting the trajectories of all players on the court and (2) modeling the trajectory of the ball.
Edit intent: clarity