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    • 7. 发明授权
    • Z-coder: a fast adaptive binary arithmetic coder
    • Z编码器:快速自适应二进制算术编码器
    • US06225925B1
    • 2001-05-01
    • US09042007
    • 1998-03-13
    • Yoshua BengioLeon BottouPaul G. Howard
    • Yoshua BengioLeon BottouPaul G. Howard
    • H03M700
    • H03M7/4006
    • A binary arithmetic coder and decoder provides improved coding accuracy due to improved probability estimation and adaptation. They also provide improved decoding speed through a “fast path” design wherein decoding of a most probable symbol requires few computational steps. Coded data represents data that is populated by more probable symbols (“MPS”) and less probable symbols (“LPS”). In an embodiment, a decoder receives a segment of the coded data as a binary fraction C. It defines a coding interval of possible values of C, the interval extending from a variable lower bound A to a constant upper bound 1. For each position in the decoded symbol string, the decoder computes a test value Z that subdivides the coding interval into sub-intervals according to the relative probabilities that an MPS or an LPS occurs in the position. A first sub-interval extends from the lower bound A to the test value Z; the second sub-interval extending from the test value Z to 1. If C is greater than Z, the decoder emits an MPS for the current position in the decoded symbol string and sets the lower bound A to the test variable Z for use during decoding of the next position in the decoded symbol string. If C is less than Z, the decoder emits an LPS and computes a new lower bound A and a new binary fraction C for use during decoding of the next position in the decoded symbol string. The encoder operates according to analogous techniques to compose coded data from original data.
    • 二进制算术编码器和解码器由于改进的概率估计和适应性而提供改进的编码精度。 它们还通过“快速路径”设计提供改进的解码速度,其中对最可能符号的解码需要很少的计算步骤。 编码数据表示由更可能的符号(“MPS”)和较少的可能符号(“LPS”)填充的数据。 在一个实施例中,解码器接收编码数据的一段作为二进制分数C.它定义了C的可能值的编码间隔,C是从可变下界A延伸到恒定上限1的间隔。对于 解码符号串,解码器根据MPS或LPS发生在该位置的相对概率来计算将编码间隔分割为子间隔的测试值Z。 第一个子间隔从下限A延伸到测试值Z; 第二子区间从测试值Z延伸到1.如果C大于Z,则解码器针对解码的符号串中的当前位置发出MPS,并将下限A设置为测试变量Z以在解码期间使用 的解码符号串中的下一个位置。 如果C小于Z,则解码器发出LPS并计算新的下限A和新的二进制分数C,以便在解码的符号串中的下一个位置的解码期间使用。 编码器根据类似的技术操作以从原始数据构成编码数据。
    • 9. 发明授权
    • Offline counterfactual analysis
    • 离线反事实分析
    • US08606608B2
    • 2013-12-10
    • US12972417
    • 2010-12-17
    • Leon BottouDenis CharlesDavid Maxwell ChickeringPatrice Simard
    • Leon BottouDenis CharlesDavid Maxwell ChickeringPatrice Simard
    • G06Q10/00
    • G06Q30/0243
    • Counterfactual analysis can be performed “offline”, or “after the fact”, based on data collected during a trial in which random variations are applied to the output of the system whose parameters are to be the subject of the counterfactual analysis. A weighting factor can be derived and applied to data collected during the trial to emphasize that data obtained when the random variations most closely resembled the output that would be expected if counterfactual parameters were utilized to generate the output. If the counterfactual parameters being considered differ too much from the parameters under which the trial was conducted, the offline counterfactual analysis can estimate a direction and magnitude of the change of the system performance, as opposed to deriving a specific expected system performance value. In economic transactions, the random variations can be considered variations in the price paid by another party, thereby enabling derivation of their marginal cost.
    • 反事实分析可以基于在试验期间收集的数据“离线”或“事后”进行,其中随机变量应用于其参数作为反事实分析的对象的系统的输出。 可以导出加权因子并将其应用于在试验期间收集的数据,以强调当随机变量最接近地类似于如果使用反事实参数来产生输出时将被预期的输出获得的数据。 如果所考虑的反事实参数与进行试验的参数有太大差异,那么脱机反事实分析可以估计系统性能变化的方向和幅度,而不是推导具体的预期系统性能值。 在经济交易中,随机变化可以被认为是另一方支付的价格变动,从而能够推算其边际成本。