Hamiltonian truncation is a non-perturbative numerical method for calculating observables of quantum field theory. The starting point this to truncate the interacting finite-dimensional space states spanned by eigenvectors free $H_0$ with eigenvalues below some energy cutoff $E_\text{max}$. In work, we show how treat systematically using effective theory methodology. We define integrating out a...

Incremental truncation is a method for constructing libraries of every one base pair truncation of a segment of DNA. Incremental truncation libraries can be created using a time-dependent nuclease method or through the incorporation of alpha-phosphothioate dNTPs by PCR or by primer extension (THIO(pcr) truncation and THIO(extension) truncation, respectively). Libraries created by the fusion of ...

We address the important question of the extent to which random variables and vectors with truncated power tails retain the characteristic features of random variables and vectors with power tails. We define two truncation regimes, soft truncation regime and hard truncation regime, and show that, in the soft truncation regime, truncated power tails behave, in important respects, as if no trunca...

This paper presents a two-pass algorithm for estimating motion vectors from image sequences. In the proposed algorithm, the motion estimation is formulated as a problem of obtaining the maximum a posteriori in the Markov random field (MAP-MRF). An optimization method based on the mean field theory (MFT) is opted to conduct the MAP search. The estimation of motion vectors is modeled by only two ...

This paper presents a two-pass algorithm for estimating motion vectors from image sequences. In the proposed algorithm, the motion estimation is formulated as a problem of obtaining the Maximum A Posteriori in the Markov Random Field (MAP-MRF). An optimization method based on the Mean Field Theory (MFT) is opted to conduct the MAP search. The estimation of motion vectors is modeled by only two ...

The geometrical and dynamical properties of area preserving maps in the neighborhood of an elliptic xed point are analyzed in the framework of resonant normal forms. The interpolating ow is not obtained from a map tangent to the identity, but from the normal form of the given map and a time independent interpolating hamiltonian H is introduced. On this hamiltonian the local stability properties...

A maximum a posteriori (MAP) equalizer is derived in this paper by formulating the forward/backward recursion MAP algorithm (i.e. the BCJR algorithm) on a paralleltrellis representation that was previously proposed for equalizing sparse multipath channels. Several enhancements are suggested to further improve the performance and/or reduce the complexity of the resultant MAP equalizer. Results s...