We present an algorithm for learning a quadratic Gaussian metric (Mahalanobis distance) for use in classification tasks. Our method relies on the simple geometric intuition that a good metric is one under which points...
We present an algorithm for learning a quadratic Gaussian metric (Mahalanobis distance) for use in classification tasks. Our method relies on the simple geometric intuition that a good metric is one under which points in the same class are simultaneously near each other and far from points in the other classes. We construct a convex optimization problem whose solution generates such a metric by trying to collapse all examples in the same class to a single point and push examples in other classes infinitely far away. We show that when the metric we learn is used in simple classifiers, it yields substantial improvements over standard alternatives on a variety of problems. We also discuss how the learned metric may be used to obtain a compact low dimensional feature representation of the original input space, allowing more efficient classification with very little reduction in performance.
We analyze complex materials supplied with an integrated physical mechanism that electronically tunes their interaction with an incident electromagnetic field. We categorize the response of such scattering systems acc...
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ISBN:
(纸本)8882020932
We analyze complex materials supplied with an integrated physical mechanism that electronically tunes their interaction with an incident electromagnetic field. We categorize the response of such scattering systems according to the values of their reflection coefficient. Characteristic ranges of these values define the metamorphic states of the system. Transitions among such states describe a fundamental change in the electromagnetic properties of the system. Under the same excitation, the metamorphic system has the built-in capability of transforming to a perfect electric conductor, a perfect absorber, a perfect electric or magnetic amplifier, a perfect magnetic conductor, etc by means of a selected switching pattern. Following the formal definition, we examine possible metamorphic properties in continuous bulk media and complex periodic metallo-dielectric structures. We find that the dispersive properties of the latter provide the necessary extra degree of freedom that allows us to obtain metamorphism. We develop specific complex media that exhibit metamorphic transitions in terms of practically realizable electronic tuning.
We present a novel approach to the characterization of complex sensory neurons. One of the main goals of characterizing sensory neurons is to characterize dimensions in stimulus space to which the neurons are highly s...
We present a novel approach to the characterization of complex sensory neurons. One of the main goals of characterizing sensory neurons is to characterize dimensions in stimulus space to which the neurons are highly sensitive (causing large gradients in the neural responses) or alternatively dimensions in stimulus space to which the neuronal response are invariant (defining iso-response manifolds). We formulate this problem as that of learning a geometry on stimulus space that is compatible with the neural responses: the distance between stimuli should be large when the responses they evoke are very different, and small when the responses they evoke are similar. Here we show how to successfully train such distance functions using rather limited amount of information. The data consisted of the responses of neurons in primary auditory cortex (A1) of anesthetized cats to 32 stimuli derived from natural sounds. For each neuron, a subset of all pairs of stimuli was selected such that the responses of the two stimuli in a pair were either very similar or very dissimilar. The distance function was trained to fit these constraints. The resulting distance functions generalized to predict the distances between the responses of a test stimulus and the trained stimuli.
We present a non-linear, simple, yet effective, feature subset selection method for regression and use it in analyzing cortical neural activity. Our algorithm involves a feature-weighted version of the k-nearest-neigh...
We present a non-linear, simple, yet effective, feature subset selection method for regression and use it in analyzing cortical neural activity. Our algorithm involves a feature-weighted version of the k-nearest-neighbor algorithm. It is able to capture complex dependency of the target function on its input and makes use of the leave-one-out error as a natural regularization. We explain the characteristics of our algorithm on synthetic problems and use it in the context of predicting hand velocity from spikes recorded in motor cortex of a behaving monkey. By applying feature selection we are able to improve prediction quality and suggest a novel way of exploring neural data.
The two-thirds power law, an empirical law stating an inverse non-linear relationship between the tangential hand speed and the curvature of its trajectory during curved motion, is widely acknowledged to be an invaria...
The two-thirds power law, an empirical law stating an inverse non-linear relationship between the tangential hand speed and the curvature of its trajectory during curved motion, is widely acknowledged to be an invariant of upper-limb movement. It has also been shown to exist in eye-motion, locomotion and was even demonstrated in motion perception and prediction. This ubiquity has fostered various attempts to uncover the origins of this empirical relationship. In these it was generally attributed either to smoothness in hand- or joint-space or to the result of mechanisms that damp noise inherent in the motor system to produce the smooth trajectories evident in healthy human *** show here that white Gaussian noise also obeys this power-law. Analysis of signal and noise combinations shows that trajectories that were synthetically created not to comply with the power-law are transformed to power-law compliant ones after combination with low levels of noise. Furthermore, there exist colored noise types that drive non-power-law trajectories to power-law compliance and are not affected by smoothing. These results suggest caution when running experiments aimed at verifying the power-law or assuming its underlying existence without proper analysis of the noise. Our results could also suggest that the power-law might be derived not from smoothness or smoothness-inducing mechanisms operating on the noise inherent in our motor system but rather from the correlated noise which is inherent in this motor system.
We have proposed unifying presentation contents, such as lecture video and presentation slides used in lectures, using metadata. For the unified contents, we have also proposed a search mechanism named UPRISE (Unified...
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We have proposed unifying presentation contents, such as lecture video and presentation slides used in lectures, using metadata. For the unified contents, we have also proposed a search mechanism named UPRISE (Unified...
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We have proposed unifying presentation contents, such as lecture video and presentation slides used in lectures, using metadata. For the unified contents, we have also proposed a search mechanism named UPRISE (Unified Presentation Slide Retrieval by Impression Search Engine). In this paper, we focus on the position, count, and duration information of a laser pointer, and propose a retrieval method using the information. In proposed method, we extract the position of laser pointer from video, and choose a sentence near the laser pointer position with a number of candidates. We evaluate our approach by applying it to actual presentation contents.
Direct numerical simulation (DNS) has been utilized to solve numerically a two-dimensional compressible weak-shearing plane jet, in which the jet exit velocity and the co-flow velocity are in the same magnitude (2∶1 ...
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Direct numerical simulation (DNS) has been utilized to solve numerically a two-dimensional compressible weak-shearing plane jet, in which the jet exit velocity and the co-flow velocity are in the same magnitude (2∶1 in this paper). We also use the one-way coupling method to simulate the dispersion behaviors of solid particles in various representative sizes, i.e. St=0.01, 1, 10, 100, where St is the Stokes number. We get a vorticity field with fully varicose (symmetrical) modes and the entire precise processes of the rolling-up of one spanwise vortex, the pairing of two vortexes and the mixing of three vortexes. The mean longitudinal velocity (U) profile compares well against the experimental results. The Reynolds stress profile looks special due to the symmetrical vorticity field. The particles whose St=0.01 reproduce the vortex structures in detail, and the ones of St=1 exhibit interesting self-organized behaviors and possess the most non-uniform concentration field. They disperse uniformly around the single and pairing vortex kernels, while a few of them are arranged almost in a straight line in the center region of the paring vortexes, which is caused by the contribution of the border of two vortexes in the pairing process. St=10 and 100 can be treated as large particles, on which the flow field has few impacts.
We identify a wide range of human memory phenomena as potential certificates of identity. These "imprinting" behaviors are characterized by vast capacity for complex experiences, which can be recognized with...
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In the last few years, object detection techniques have progressed immensely. Impressive detection results have been achieved for many objects such as faces [11, 14, 9] and cars [11]. The robustness of these systems e...
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