This paper introduces a Deep Scattering network that utilizes Dual-Tree complex wavelets to extract translation invariant representations from an input signal. The computationally efficient Dual-Tree wavelets decompose the input signal into densely spaced representations over scales. Translation invariance is introduced in the representations by applying a non-linearity over a region followed b...

We study a general class of translation invariant quantum Markov evolutions for a particle on Z. We assume locality of the spatial jumps and exponentially fast relaxation in momentum space. It is shown that the particle position diffuses in the long time limit. We employ a fiber decomposition in momentum space of the evolution made possible by the translation invariance of the dynamics. A centr...

Abstract. Introduction: To account for fast-paced developments at work, hybrid work characteristics (HWCs) were introduced. measure them, an English instrument was developed by Xie et al. (2019) . HWCs encompass more than one domain such as the task, social, or contextual and include boundarylessness, multitasking, demand constant learning, non-work-related interruptions are associated with emp...

This paper proposes a Recurrent Affine Transform Encoder (RATE) that can be used for image representation learning. We propose learning architecture enables CNN encoder to learn the affine transform parameter of images. The proposed decomposes an matrix into two matrices and learns them jointly in self-supervised manner. RATE is trained by unlabeled data without any ground truth infers input im...

Quantum mechanics is one of the basic theories modern physics. Here, famous Schr\"odinger equation and differential operators representing mechanical quantities in quantum are derived, just based on principle that translation invariance (symmetry) a system Hamiltonian should be preserved mechanics. Moreover, according to form operators, commutation relation between generalized coordinate moment...

The Noether current and its variation relation with respect to diffeomorphism invariance of gravitational theories have been derived from the horizontal variation and vertical-horizontal bi-variation of the Lagrangian, respectively. For Einstein’s GR in the stationary, axisymmetric black holes, the mass formula in vacuum can be derived from this Noether current although it definitely vanishes. ...