منابع مشابه
Distortion Bounds for C Unimodal Maps
We obtain estimates for derivative and cross–ratio distortion for C (any η > 0) unimodal maps with non–flat critical points. We do not require any ‘Schwarzian–like’ condition. For two intervals J ⊂ T , the cross–ratio is defined as the value B(T, J) := |T ||J | |L||R| where L, R are the left and right connected components of T \J respectively. For an interval map g such that gT : T → R is a dif...
متن کاملRate-Distortion Bounds for an Epsilon-Insensitive Distortion Measure
Direct evaluation of the rate-distortion function has rarely been achieved when it is strictly greater than its Shannon lower bound. In this paper, we consider the rate-distortion function for the distortion measure defined by an ε-insensitive loss function. We first present the Shannon lower bound applicable to any source distribution with finite differential entropy. Then, focusing on the Lap...
متن کاملRate-Distortion Bounds for Kernel-Based Distortion Measures
Kernel methods have been used for turning linear learning algorithms into nonlinear ones. These nonlinear algorithms measure distances between data points by the distance in the kernel-induced feature space. In lossy data compression, the optimal tradeoff between the number of quantized points and the incurred distortion is characterized by the rate-distortion function. However, the rate-distor...
متن کاملImage Distortion Maps
Subjects examined image pairs consisting of an original and a reproduction created using either JPEG compression or digital halftoning. Subjects marked locations on the reproduction that differed detectably from the original. We refer to the distribution of error marks by the subjects as image distortion maps. The empirically obtained image distortion maps are compared to the visible difference...
متن کاملDistortion lower bounds for line embeddings
Article history: Received 24 January 2008 Received in revised form 6 May 2008 Available online 20 May 2008 Communicated by C. Scheideler
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2007
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm193-1-4