Quantum-Ohmic Resistance Fluctuation In Disordered Conductors - An Invariant Imbedding Approach

It is now well known that in extreme quantum limit, dominated by the elastic impurity scattering and the concomitant quantum interference, the zero-temperature d.c. resistance of a strictly one-dimensional disordered system is non-additive and non-self-averaging. While these statistical fluctuations may persist in the case of a physically thin wire, they are implicitly and questionably ignored in higher dimensions. In this work, we have re-examined this question. Following an invariant imbedding formulation, we first derive a stochastic differential equation for the complex amplitude reflection coefficient and hence obtain a Fokker-Planck equation for the full probability distribution of resistance for a one-dimensional continuum with a Gaussian white-noise random potential. We then employ the Migdal-Kadanoff type bond moving procedure and derive the d-dimensional generalization of the above probability distribution, or rather the associated cumulant function –‘the free energy’. For d=3, our analysis shows that the dispersion dominates the mobilitly edge phenomena in that (i) a one-parameter B-function depending on the mean conductance only does not exist, (ii) an approximate treatment gives a diffusion-correction involving the second cumulant. It is, however, not clear whether the fluctuations can render the transition at the mobility edge ‘first-order’. We also report some analytical results for the case of the one dimensional system in the presence of a finite electric fiekl. We find a cross-over from the exponential to the power-low length dependence of resistance as the field increases from zero. Also, the distribution of resistance saturates asymptotically to a poissonian form. Most of our analytical results are supported by the recent numerical simulation work reported by some authors.

Unsupervised Domain Adaptation by Domain Invariant Projection

Domain-invariant representations are key to addressing the domain shift problem where the training and test exam- ples follow different distributions. Existing techniques that have attempted to match the distributions of the source and target domains typically compare these distributions in the original feature space. This space, however, may not be di- rectly suitable for such a comparison, since some of the fea- tures may have been distorted by the domain shift, or may be domain specific. In this paper, we introduce a Domain Invariant Projection approach: An unsupervised domain adaptation method that overcomes this issue by extracting the information that is invariant across the source and tar- get domains. More specifically, we learn a projection of the data to a low-dimensional latent space where the distance between the empirical distributions of the source and target examples is minimized. We demonstrate the effectiveness of our approach on the task of visual object recognition and show that it outperforms state-of-the-art methods on a stan- dard domain adaptation benchmark dataset

Repeatable Condition-Invariant Visual Odometry for Sequence-Based Place Recognition

This paper describes a vision-only system for place recognition in environments that are tra- versed at different times of day, when chang- ing conditions drastically affect visual appear- ance, and at different speeds, where places aren’t visited at a consistent linear rate. The ma- jor contribution is the removal of wheel-based odometry from the previously presented algo- rithm (SMART), allowing the technique to op- erate on any camera-based device; in our case a mobile phone. While we show that the di- rect application of visual odometry to our night- time datasets does not achieve a level of perfor- mance typically needed, the VO requirements of SMART are orthogonal to typical usage: firstly only the magnitude of the velocity is required, and secondly the calculated velocity signal only needs to be repeatable in any one part of the environment over day and night cycles, but not necessarily globally consistent. Our results show that the smoothing effect of motion constraints is highly beneficial for achieving a locally consis- tent, lighting-independent velocity estimate. We also show that the advantage of our patch-based technique used previously for frame recogni- tion, surprisingly, does not transfer to VO, where SIFT demonstrates equally good performance. Nevertheless, we present the SMART system us- ing only vision, which performs sequence-base place recognition in extreme low-light condi- tions where standard 6-DOF VO fails and that improves place recognition performance over odometry-less benchmarks, approaching that of wheel odometry.

Reiss family portrait on the occasion of the wedding of Harry Gould to Eva Fantl; Royal Connaught Hotel, Hamilton, Ontario.

Standing l-r: George? son of Max Reiss?, Max Reiss, Harry Gould, Moritz Reiss, Joe Reiss, and Herbert Reiss; Seated l-r: Trude Reiss (wife of Herbert), Else Reiss (mother of Joe), Lily Friedlander Gould, Eva Fantl Gould, Trude Reiss (wife of Joe), and Marta Reiss (wife of Max)

Dorothea (Dola) Guttmann Gould; Jerusalem Portraits Women

Born April 27, 1922 in Tilsit, died June 8, 2003 Zurich; Married to Henry H. Goldschmidt Gould August 7, 1960 in Montreal

Dorothea (Dola) Guttmann Gould speaking at American Express stockholders meeting Portraits Women

This photograph was included in the meeting's published report

Henry H. Goldschmidt Gould (seated on right) with unidentified young men and women; Neue Welt Bockbierfest Portraits Groups

Born July 15, 1914, died August 6, 1978

Henry H. Goldschmidt Gould; Berlin Portraits Groups

Born July 15, 1914, died August 6, 1978

Henry H. Goldschmidt Gould standing outdoors Portraits Children

Born July 15, 1914, died August 6, 1978

Henry H. Goldschmidt Gould (top row fourth from right) with unidentified school classmates Portraits Children

Born July 15, 1914, died August 6, 1978

Reiss family portrait on the occasion of the wedding of Harry Gould to Eva Fantl; Royal Connaught Hotel, Hamilton, Ontario.

Standing l-r: George? son of Max Reiss?, Max Reiss, Harry Gould, Moritz Reiss, Joe Reiss, and Herbert Reiss; Seated l-r: Trude Reiss (wife of Herbert), Else Reiss (mother of Joe), Lily Friedlander Gould, Eva Fantl Gould, Trude Reiss (wife of Joe), and Marta Reiss (wife of Max)

Henry H. Goldschmidt Gould and Dorothea (Dola) Guttmann Gould; Nice Portraits Couples

Henry, July 15, 1914-August 6, 1978; Dola, April 27, 1922 in Tilsit to June 8, 2003 Zurich

Studio portraits of Henry H. Goldschmidt Gould and his sister Ruth Augusta Beatrice Goldschmidt Portraits Children

Some signed by photographer Jacobi

Henry H. Goldschmidt Gould and Dorothea (Dola) Guttmann on their wedding day Portraits Couples

Henry, July 15, 1914-August 6, 1978