Subfunctions

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A. Hallapuro - One of the best experts on this subject based on the ideXlab platform.

  • h 264 avc baseline profile decoder complexity analysis
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: M Horowitz, Anthony Joch, Faouzi Kossentini, A. Hallapuro
    Abstract:

    We study and analyze the computational complexity of a software-based H.264/AVC (advanced video codec) baseline profile decoder. Our analysis is based on determining the number of basic computational operations required by a decoder to perform the key decoding Subfunctions. The frequency of use of each of the required decoding Subfunctions is empirically derived using bitstreams generated from two different encoders for a variety of content, resolutions and bit rates. Using the measured frequencies, estimates of the decoder time complexity for various hardware platforms can be determined. A detailed example is provided to assist in deriving time complexity estimates. We compare the resulting estimates to numbers measured for an optimized decoder on the Pentium 3 hardware platform. We then use those numbers to evaluate the dependence of the time complexity of each of the major decoder Subfunctions on encoder characteristics, content, resolution and bit rate. Finally, we compare an H.264/AVC-compliant baseline decoder to a decoder that is compliant with the H.263 standard, which is currently dominant in interactive video applications. Both "C" only decoder implementations were compared on a Pentium 3 hardware platform. Our results indicate that an H.264/AVC baseline decoder is approximately 2.5 times more time complex than an H.263 baseline decoder.

  • H.264/AVC baseline profile decoder complexity analysis
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: M Horowitz, Anthony Joch, Faouzi Kossentini, A. Hallapuro
    Abstract:

    We study and analyze the computational complexity of a software-based H.264/AVC (advanced video codec) baseline profile decoder. Our analysis is based on determining the number of basic computational operations required by a decoder to perform the key decoding Subfunctions. The frequency of use of each of the required decoding Subfunctions is empirically derived using bitstreams generated from two different encoders for a variety of content, resolutions and bit rates. Using the measured frequencies, estimates of the decoder time complexity for various hardware platforms can be determined. A detailed example is provided to assist in deriving time complexity estimates. We compare the resulting estimates to numbers measured for an optimized decoder on the Pentium 3 hardware platform. We then use those numbers to evaluate the dependence of the time complexity of each of the major decoder Subfunctions on encoder characteristics, content, resolution and bit rate. Finally, we compare an H.264/AVC-compliant baseline decoder to a decoder that is compliant with the H.263 standard, which is currently dominant in interactive video applications. Both "C" only decoder implementations were compared on a Pentium 3 hardware platform. Our results indicate that an H.264/AVC baseline decoder is approximately 2.5 times more time complex than an H.263 baseline decoder.

Rocco A Servedio - One of the best experts on this subject based on the ideXlab platform.

  • a regularity lemma and low weight approximators for low degree polynomial threshold functions
    Conference on Computational Complexity, 2010
    Co-Authors: Ilias Diakonikolas, Rocco A Servedio
    Abstract:

    We give a "regularity lemma" for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1,1}^n. Roughly speaking, this result shows that every degree-d PTF can be decomposed into a constant number of Subfunctions such that almost all of the Subfunctions are close to being regular PTFs. Here a "regular" PTF is a PTF sign(p(x)) where the influence of each variable on the polynomial p(x) is a small fraction of the total influence of p. As an application of this regularity lemma, we prove that for any constants d >= 1, eps > 0, every degree-d PTF over n variables can be approximated to accuracy eps by a constant degree PTF that has integer weights of total magnitude O(n^d). This weight bound is shown to be optimal up to logarithmic factors.

  • a regularity lemma and low weight approximators for low degree polynomial threshold functions
    arXiv: Computational Complexity, 2009
    Co-Authors: Ilias Diakonikolas, Rocco A Servedio
    Abstract:

    We give a "regularity lemma" for degree-d polynomial threshold functions (PTFs) over the Boolean cube {-1,1}^n. This result shows that every degree-d PTF can be decomposed into a constant number of Subfunctions such that almost all of the Subfunctions are close to being regular PTFs. Here a "regular PTF is a PTF sign(p(x)) where the influence of each variable on the polynomial p(x) is a small fraction of the total influence of p. As an application of this regularity lemma, we prove that for any constants d \geq 1, \eps \geq 0, every degree-d PTF over n variables has can be approximated to accuracy eps by a constant-degree PTF that has integer weights of total magnitude O(n^d). This weight bound is shown to be optimal up to constant factors.

M Horowitz - One of the best experts on this subject based on the ideXlab platform.

  • h 264 avc baseline profile decoder complexity analysis
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: M Horowitz, Anthony Joch, Faouzi Kossentini, A. Hallapuro
    Abstract:

    We study and analyze the computational complexity of a software-based H.264/AVC (advanced video codec) baseline profile decoder. Our analysis is based on determining the number of basic computational operations required by a decoder to perform the key decoding Subfunctions. The frequency of use of each of the required decoding Subfunctions is empirically derived using bitstreams generated from two different encoders for a variety of content, resolutions and bit rates. Using the measured frequencies, estimates of the decoder time complexity for various hardware platforms can be determined. A detailed example is provided to assist in deriving time complexity estimates. We compare the resulting estimates to numbers measured for an optimized decoder on the Pentium 3 hardware platform. We then use those numbers to evaluate the dependence of the time complexity of each of the major decoder Subfunctions on encoder characteristics, content, resolution and bit rate. Finally, we compare an H.264/AVC-compliant baseline decoder to a decoder that is compliant with the H.263 standard, which is currently dominant in interactive video applications. Both "C" only decoder implementations were compared on a Pentium 3 hardware platform. Our results indicate that an H.264/AVC baseline decoder is approximately 2.5 times more time complex than an H.263 baseline decoder.

  • H.264/AVC baseline profile decoder complexity analysis
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: M Horowitz, Anthony Joch, Faouzi Kossentini, A. Hallapuro
    Abstract:

    We study and analyze the computational complexity of a software-based H.264/AVC (advanced video codec) baseline profile decoder. Our analysis is based on determining the number of basic computational operations required by a decoder to perform the key decoding Subfunctions. The frequency of use of each of the required decoding Subfunctions is empirically derived using bitstreams generated from two different encoders for a variety of content, resolutions and bit rates. Using the measured frequencies, estimates of the decoder time complexity for various hardware platforms can be determined. A detailed example is provided to assist in deriving time complexity estimates. We compare the resulting estimates to numbers measured for an optimized decoder on the Pentium 3 hardware platform. We then use those numbers to evaluate the dependence of the time complexity of each of the major decoder Subfunctions on encoder characteristics, content, resolution and bit rate. Finally, we compare an H.264/AVC-compliant baseline decoder to a decoder that is compliant with the H.263 standard, which is currently dominant in interactive video applications. Both "C" only decoder implementations were compared on a Pentium 3 hardware platform. Our results indicate that an H.264/AVC baseline decoder is approximately 2.5 times more time complex than an H.263 baseline decoder.

Ilias Diakonikolas - One of the best experts on this subject based on the ideXlab platform.

  • a regularity lemma and low weight approximators for low degree polynomial threshold functions
    Conference on Computational Complexity, 2010
    Co-Authors: Ilias Diakonikolas, Rocco A Servedio
    Abstract:

    We give a "regularity lemma" for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1,1}^n. Roughly speaking, this result shows that every degree-d PTF can be decomposed into a constant number of Subfunctions such that almost all of the Subfunctions are close to being regular PTFs. Here a "regular" PTF is a PTF sign(p(x)) where the influence of each variable on the polynomial p(x) is a small fraction of the total influence of p. As an application of this regularity lemma, we prove that for any constants d >= 1, eps > 0, every degree-d PTF over n variables can be approximated to accuracy eps by a constant degree PTF that has integer weights of total magnitude O(n^d). This weight bound is shown to be optimal up to logarithmic factors.

  • a regularity lemma and low weight approximators for low degree polynomial threshold functions
    arXiv: Computational Complexity, 2009
    Co-Authors: Ilias Diakonikolas, Rocco A Servedio
    Abstract:

    We give a "regularity lemma" for degree-d polynomial threshold functions (PTFs) over the Boolean cube {-1,1}^n. This result shows that every degree-d PTF can be decomposed into a constant number of Subfunctions such that almost all of the Subfunctions are close to being regular PTFs. Here a "regular PTF is a PTF sign(p(x)) where the influence of each variable on the polynomial p(x) is a small fraction of the total influence of p. As an application of this regularity lemma, we prove that for any constants d \geq 1, \eps \geq 0, every degree-d PTF over n variables has can be approximated to accuracy eps by a constant-degree PTF that has integer weights of total magnitude O(n^d). This weight bound is shown to be optimal up to constant factors.

Faouzi Kossentini - One of the best experts on this subject based on the ideXlab platform.

  • h 264 avc baseline profile decoder complexity analysis
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: M Horowitz, Anthony Joch, Faouzi Kossentini, A. Hallapuro
    Abstract:

    We study and analyze the computational complexity of a software-based H.264/AVC (advanced video codec) baseline profile decoder. Our analysis is based on determining the number of basic computational operations required by a decoder to perform the key decoding Subfunctions. The frequency of use of each of the required decoding Subfunctions is empirically derived using bitstreams generated from two different encoders for a variety of content, resolutions and bit rates. Using the measured frequencies, estimates of the decoder time complexity for various hardware platforms can be determined. A detailed example is provided to assist in deriving time complexity estimates. We compare the resulting estimates to numbers measured for an optimized decoder on the Pentium 3 hardware platform. We then use those numbers to evaluate the dependence of the time complexity of each of the major decoder Subfunctions on encoder characteristics, content, resolution and bit rate. Finally, we compare an H.264/AVC-compliant baseline decoder to a decoder that is compliant with the H.263 standard, which is currently dominant in interactive video applications. Both "C" only decoder implementations were compared on a Pentium 3 hardware platform. Our results indicate that an H.264/AVC baseline decoder is approximately 2.5 times more time complex than an H.263 baseline decoder.

  • H.264/AVC baseline profile decoder complexity analysis
    IEEE Transactions on Circuits and Systems for Video Technology, 2003
    Co-Authors: M Horowitz, Anthony Joch, Faouzi Kossentini, A. Hallapuro
    Abstract:

    We study and analyze the computational complexity of a software-based H.264/AVC (advanced video codec) baseline profile decoder. Our analysis is based on determining the number of basic computational operations required by a decoder to perform the key decoding Subfunctions. The frequency of use of each of the required decoding Subfunctions is empirically derived using bitstreams generated from two different encoders for a variety of content, resolutions and bit rates. Using the measured frequencies, estimates of the decoder time complexity for various hardware platforms can be determined. A detailed example is provided to assist in deriving time complexity estimates. We compare the resulting estimates to numbers measured for an optimized decoder on the Pentium 3 hardware platform. We then use those numbers to evaluate the dependence of the time complexity of each of the major decoder Subfunctions on encoder characteristics, content, resolution and bit rate. Finally, we compare an H.264/AVC-compliant baseline decoder to a decoder that is compliant with the H.263 standard, which is currently dominant in interactive video applications. Both "C" only decoder implementations were compared on a Pentium 3 hardware platform. Our results indicate that an H.264/AVC baseline decoder is approximately 2.5 times more time complex than an H.263 baseline decoder.