wanyu/IteraTeR_v2 huggingface dataset:
Original:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Revised:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Edit intent: fluency
Original:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Revised:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Edit intent: fluency
Original:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Revised:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Edit intent: fluency
Original:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Revised:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Edit intent: fluency
Original:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Revised:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK providing high-performance on large matrices ) .
Edit intent: clarity
Original:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices ) .
Revised:  a high-performance implementation ( aiming at providing the highest performance for matrices fitting in cache ) , a reference implementation ( providing portability and embeddability , and optimized for very small matrices ) , and a wrapper to standard BLAS and LAPACK (for high-performance on large matrices .
Edit intent: fluency
Original:  Compared to both open-source and proprietary highly-tuned BLAS libraries, for matrices of size up to about one hundred the high-performance implementation of BLASFEO is typically 20-30 \% faster than the corresponding \\%DIF > faster than the  BLAS routines and 2-3 times faster than  corresponding LAPACK routines.
Revised:  Compared to both open-source and proprietary highly-tuned BLAS libraries, for matrices of size up to about one hundred the high-performance implementation of BLASFEO is about 20-30 \% faster than the corresponding \\%DIF > faster than the BLAS routines and 2-3 times faster than corresponding LAPACK routines.
Edit intent: clarity
Original:  Compared to both open-source and proprietary highly-tuned BLAS libraries, for matrices of size up to about one hundred the high-performance implementation of BLASFEO is typically 20-30 \% faster than the corresponding \\%DIF > faster than the  BLAS routines and 2-3 times faster than  corresponding LAPACK routines.
Revised:  Compared to both open-source and proprietary highly-tuned BLAS libraries, for matrices of size up to about one hundred the high-performance implementation of BLASFEO is typically 20-30 \\%DIF > faster than the BLAS routines and 2-3 times faster than corresponding LAPACK routines.
Edit intent: coherence
Original:  Compared to both open-source and proprietary highly-tuned BLAS libraries, for matrices of size up to about one hundred the high-performance implementation of BLASFEO is typically 20-30 \% faster than the corresponding \\%DIF > faster than the  BLAS routines and 2-3 times faster than  corresponding LAPACK routines.
Revised:  Compared to both open-source and proprietary highly-tuned BLAS libraries, for matrices of size up to about one hundred the high-performance implementation of BLASFEO is typically 20-30 \% faster than the corresponding \\%DIF > faster than the BLAS routines and 2-3 times faster than the corresponding LAPACK routines.
Edit intent: fluency
Original:  Recent studies show that , along with static concentration and identity, cells can extract  information from dynamical concentration patterns of signaling molecules.
Revised:  Recent studies show that cells can extract information from dynamical concentration patterns of signaling molecules.
Edit intent: coherence
Original:  Considering a deterministic limit, we model the decoding networks by linear response functions, and optimize the functions with a calculus of variation to maximize the mutual information between patterns and output.
Revised:  Considering a deterministic limit, we model the decoding networks by linear response functions, and optimize the functions with the calculus of variations to maximize the mutual information between patterns and output.
Edit intent: fluency
Original:  We find that optimal decoders are realized with multiple distinct non-monotonic response functions and that such optimal decoders can extract information much  efficiently than typical single layer linear decoders.
Revised:  We find that optimal decoders are realized with multiple distinct non-monotonic response functions and that such optimal decoders can extract information much more efficiently than typical single layer linear decoders.
Edit intent: clarity
Original:  We find that optimal decoders are realized with multiple distinct non-monotonic response functions and that such optimal decoders can extract information much  efficiently than typical single layer linear decoders.
Revised:  We find that optimal decoders are realized with multiple distinct non-monotonic response functions and that such optimal decoders can extract information much efficiently than typical single-layer linear decoders.
Edit intent: fluency
Original:  We also consider the decorrelation of information embedded in the dynamical patterns and show that decorrelating decoders converges to the upper bound of the mutual information for weak noise limit.
Revised:  We also consider the decorrelation of information embedded in the dynamical patterns and show that decorrelating decoders converge to the upper bound of the mutual information for weak noise limit.
Edit intent: fluency
Original:  We also consider the decorrelation of information embedded in the dynamical patterns and show that decorrelating decoders converges to the upper bound of the mutual information for weak noise limit.
Revised:  We also consider the decorrelation of information embedded in the dynamical patterns and show that decorrelating decoders converges to the upper bound of the mutual information in the weak noise limit.
Edit intent: clarity
Original:  We explore the biochemical implementation of these decoders using the control theory and show that they can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Revised:  We explore the biochemical implementations of these decoders using the control theory and show that they can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Edit intent: fluency
Original:  We explore the biochemical implementation of these decoders using the control theory and show that they can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Revised:  We explore the biochemical implementation of these decoders using control theory and show that they can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Edit intent: fluency
Original:  We explore the biochemical implementation of these decoders using the control theory and show that they can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Revised:  We explore the biochemical implementation of these decoders using the control theory and demonstrate that they can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Edit intent: fluency
Original:  Here we study how cells generally and optimally process multi-dimensional information embedded in dynamical patterns through biochemical networks.
Revised:  We herein study how biochemical systems can process multi-dimensional information embedded in dynamical patterns through biochemical networks.
Edit intent: clarity
Original:  We explore the biochemical implementations of these decoders using control theory and demonstrate that they can be implemented biochemically through  modification of cascade-type networks, which are prevalent in actual signaling pathways.
Revised:  We explore the biochemical implementations of these decoders using control theory and demonstrate that these decoders can be implemented biochemically through modification of cascade-type networks, which are prevalent in actual signaling pathways.
Edit intent: fluency
Original:  We explore the biochemical implementations of these decoders using control theory and demonstrate that they can be implemented biochemically through  modification of cascade-type networks, which are prevalent in actual signaling pathways.
Revised:  We explore the biochemical implementations of these decoders using control theory and demonstrate that they can be implemented biochemically through the modification of cascade-type networks, which are prevalent in actual signaling pathways.
Edit intent: fluency
Original:  Following these works we present here a numerical study of a one-dimensional stochastic desertification model, confronting the deterministic predictions  with the observed dynamics.
Revised:  Following these works we present here a numerical study of a one-dimensional stochastic desertification model, where the deterministic predictions with the observed dynamics.
Edit intent: clarity
Original:  Following these works we present here a numerical study of a one-dimensional stochastic desertification model, confronting the deterministic predictions  with the observed dynamics.
Revised:  Following these works we present here a numerical study of a one-dimensional stochastic desertification model, confronting the deterministic predictions are confronted with the observed dynamics.
Edit intent: clarity
Original:  Our results suggest that a stochastic spatial system allows for a propagating front only if the active phase invades the inactive (desert) one , while above the transition no such front was observed .
Revised:  Our results suggest that a stochastic spatial system allows for a propagating front only when its active phase invades the inactive (desert) one , while above the transition no such front was observed .
Edit intent: clarity
Original: We derive the mutual information (MI) of the wireless links in a buffer-aided full-duplex (FD) multiple-input multiple-output (MIMO) relaying network .
Revised: We derive closed-form expressions for the achievable rates of a buffer-aided full-duplex (FD) multiple-input multiple-output (MIMO) relaying network .
Edit intent: clarity
Original:  The FD relay still suffers from residual self-interference (RSI) , after the application of self-interference mitigation techniques.
Revised:  The FD relay still suffers from residual self-interference (RSI) after the application of self-interference mitigation techniques.
Edit intent: fluency
Original:  We investigate both cases of the slow-RSI channel , where the RSI is fixed over the entire codeword, and the fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Revised:  We investigate both cases of a slow-RSI channel , where the RSI is fixed over the entire codeword, and the fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Edit intent: fluency
Original:  We investigate both cases of the slow-RSI channel , where the RSI is fixed over the entire codeword, and the fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Revised:  We investigate both cases of the slow-RSI channel where the RSI is fixed over the entire codeword, and the fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Edit intent: fluency
Original:  We investigate both cases of the slow-RSI channel , where the RSI is fixed over the entire codeword, and the fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Revised:  We investigate both cases of the slow-RSI channel , where the RSI is fixed over the entire codeword, and a fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Edit intent: fluency
Original:  We investigate both cases of the slow-RSI channel , where the RSI is fixed over the entire codeword, and the fast-RSI channel , where the RSI changes from one symbol duration to another within the codeword.
Revised:  We investigate both cases of the slow-RSI channel , where the RSI is fixed over the entire codeword, and the fast-RSI channel where the RSI changes from one symbol duration to another within the codeword.
Edit intent: fluency
Original:  We show that the RSI can be completely eliminated  when the FD relay is equipped with a buffer in the case of slow RSI. In the case of fast RSI , the RSI cannot be eliminated.
Revised:  We show that the RSI can be completely eliminated in the slow-RSI case when the FD relay is equipped with a buffer in the case of slow RSI. In the case of fast RSI , the RSI cannot be eliminated.
Edit intent: clarity
Original:  We show that the RSI can be completely eliminated  when the FD relay is equipped with a buffer in the case of slow RSI. In the case of fast RSI , the RSI cannot be eliminated.
Revised:  We show that the RSI can be completely eliminated when the FD relay is equipped with a buffer while the fast RSI cannot be eliminated.
Edit intent: clarity
Original:  Closed-form expressions for the links' MI are derived under both RSI scenarios.
Edit intent: coherence
Original:  For the fixed-rate data transmission scenario, we derive the optimal transmission strategy that should be adopted by the source and relay nodes to maximize the system throughput.
Revised:  For the fixed-rate data transmission scenario, we derive the optimal transmission strategy that should be adopted by the source node and relay node to maximize the system throughput.
Edit intent: fluency
Original:  The shared bandwidth is divided into K orthogonal channels , and the users access the spectrum using a random access protocol .
Revised:  The shared bandwidth is divided into K orthogonal channels .
Edit intent: clarity
Original:  The objective is to find a multi-user strategy  that maximizes a certain network utility in a distributed manner without online coordination or message exchanges between users.
Revised:  The objective is a multi-user strategy that maximizes a certain network utility in a distributed manner without online coordination or message exchanges between users.
Edit intent: clarity
Original:  In the beginning of each time slot, each user selects a channel and transmits a packet with a certain attempt probability.
Revised:  In the beginning of each time slot, each user selects a channel and transmits a packet with a certain transmission probability.
Edit intent: clarity
Original:  Game theoretic analysis of the system dynamic is developed for establishing design principles for the implementation of the algorithm.
Revised:  Game theoretic analysis of the system dynamics is developed for establishing design principles for the implementation of the algorithm.
Edit intent: fluency
Original: The purported "black box" ' nature of neural networks is a barrier to adoption in applications where interpretability is essential.
Revised: The purported "black box" nature of neural networks is a barrier to adoption in applications where interpretability is essential.
Edit intent: fluency
Original:  Our explicit construction avoids these issues, and leads to the improved (and deterministic) running time.
Edit intent: coherence
Original:  As in Cabello's work, our algorithm can also compute the Wiener index of ( sum of all pairwise distances in) a planar graph, within the same bounds  .
Revised:  As in Cabello's work, our algorithm can also compute the Wiener index of ( sum of all pairwise distances ) within the same bounds .
Edit intent: clarity
Original:  It is in fact the first truly subquadratic deterministic {\em  algorithm for this problem.
Revised:  It is in fact the first truly subquadratic {\em algorithm for this problem.
Edit intent: clarity
Original:  It has already been used to obtain fast exact distance oracles for planar graphs Cohen-Addad et al., FOCS'17 .
Revised:  It has already been used to obtain fast exact distance oracles for planar graphs .
Edit intent: clarity
Original: Cloud computing has allowed applications to allocate and elastically utilize massive amounts of resources of different types, leading to an exponential growth of the applications' configuration space and increased difficulty in predicting their performance.
Revised: Cloud computing has allowed applications to increase their scalability, robustness and fault tolerance, but it has also complicated their structure, leading to an exponential growth of the applications' configuration space and increased difficulty in predicting their performance.
Edit intent: coherence
Original:  An extensive experimental evaluation over real-life applications and synthetic performance functions showcases that our scheme outperforms other state-of-the-art profiling methodologies.
Revised:  An extensive evaluation over real-life applications and synthetic performance functions showcases that our scheme outperforms other state-of-the-art profiling methodologies.
Edit intent: clarity
Original:  It particularly excels at reflecting abnormalities and discontinuities of the performance function, allowing the user to influence the sampling policy based on the modeling accuracy , the space coverage and the deployment cost .
Revised:  It particularly excels at reflecting abnormalities and discontinuities of the performance function, allowing the user to influence the sampling policy based on the modeling accuracy and the space coverage and the deployment cost .
Edit intent: fluency
Original:  It particularly excels at reflecting abnormalities and discontinuities of the performance function, allowing the user to influence the sampling policy based on the modeling accuracy , the space coverage and the deployment cost .
Revised:  It particularly excels at reflecting abnormalities and discontinuities of the performance function, allowing the user to influence the sampling policy based on the modeling accuracy , the space coverage .
Edit intent: clarity
Original:  Sometimeshowever, a human operator needs to intervene and interrupt an agent in order to prevent certain dangerous situations .
Revised:  Sometimeshowever, a human operator to an agent in order to prevent certain dangerous situations .
Edit intent: clarity
Original:  Sometimeshowever, a human operator needs to intervene and interrupt an agent in order to prevent certain dangerous situations .
Revised:  Sometimeshowever, a human operator needs to intervene and interruptinterrupt an agent in order to prevent certain dangerous situations .
Edit intent: fluency
Original:  Sometimeshowever, a human operator needs to intervene and interrupt an agent in order to prevent certain dangerous situations .
Revised:  Sometimeshowever, a human operator needs to intervene and interrupt an agent in order to prevent dangerous situations from happening .
Edit intent: clarity
Original:  Yet, as part of their learning process, agents may link these interruptions  that impact their reward  to specific states , and deliberately avoid them.
Revised:  Yet, as part of their learning process, agents may link these interruptions , that impact their reward to specific states , and deliberately avoid them.
Edit intent: fluency
Original:  Yet, as part of their learning process, agents may link these interruptions  that impact their reward  to specific states , and deliberately avoid them.
Revised:  Yet, as part of their learning process, agents may link these interruptions that impact their reward , to specific states , and deliberately avoid them.
Edit intent: fluency
Original:  Yet, as part of their learning process, agents may link these interruptions  that impact their reward  to specific states , and deliberately avoid them.
Revised:  Yet, as part of their learning process, agents may link these interruptions that impact their reward to specific states and deliberately avoid them.
Edit intent: fluency
Original:  The situation is particularly challenging in a distributed context because agents might not only learn from their own past interruptions, but also from those of other agents.
Revised:  The situation is particularly challenging in a multi-agent context because agents might not only learn from their own past interruptions, but also from those of other agents.
Edit intent: clarity
Original:  This paper defines the notion of safe interruptibility as a distributed computing problem,\emph{ \textit{  and studies this notion in the two main learning frameworks: joint action learners and independent learners  .
Revised:  This paper defines the notion of safe interruptibility as a distributed computing problem,\emph{ \textit{ and studies this notion in two learning frameworks: joint action learners and independent learners .
Edit intent: clarity
Original:  This paper defines the notion of safe interruptibility as a distributed computing problem,\emph{ \textit{  and studies this notion in the two main learning frameworks: joint action learners and independent learners  .
Revised:  This paper defines the notion of safe interruptibility as a distributed computing problem,\emph{ \textit{ and studies this notion in the two main learning frameworks: joint action learners .
Edit intent: clarity