• Title/Summary/Keyword: Convex

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Why Gabor Frames? Two Fundamental Measures of Coherence and Their Role in Model Selection

  • Bajwa, Waheed U.;Calderbank, Robert;Jafarpour, Sina
    • Journal of Communications and Networks
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    • v.12 no.4
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    • pp.289-307
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    • 2010
  • The problem of model selection arises in a number of contexts, such as subset selection in linear regression, estimation of structures in graphical models, and signal denoising. This paper studies non-asymptotic model selection for the general case of arbitrary (random or deterministic) design matrices and arbitrary nonzero entries of the signal. In this regard, it generalizes the notion of incoherence in the existing literature on model selection and introduces two fundamental measures of coherence-termed as the worst-case coherence and the average coherence-among the columns of a design matrix. It utilizes these two measures of coherence to provide an in-depth analysis of a simple, model-order agnostic one-step thresholding (OST) algorithm for model selection and proves that OST is feasible for exact as well as partial model selection as long as the design matrix obeys an easily verifiable property, which is termed as the coherence property. One of the key insights offered by the ensuing analysis in this regard is that OST can successfully carry out model selection even when methods based on convex optimization such as the lasso fail due to the rank deficiency of the submatrices of the design matrix. In addition, the paper establishes that if the design matrix has reasonably small worst-case and average coherence then OST performs near-optimally when either (i) the energy of any nonzero entry of the signal is close to the average signal energy per nonzero entry or (ii) the signal-to-noise ratio in the measurement system is not too high. Finally, two other key contributions of the paper are that (i) it provides bounds on the average coherence of Gaussian matrices and Gabor frames, and (ii) it extends the results on model selection using OST to low-complexity, model-order agnostic recovery of sparse signals with arbitrary nonzero entries. In particular, this part of the analysis in the paper implies that an Alltop Gabor frame together with OST can successfully carry out model selection and recovery of sparse signals irrespective of the phases of the nonzero entries even if the number of nonzero entries scales almost linearly with the number of rows of the Alltop Gabor frame.

Crystallographic and Magnetic Properties of Cu0.1Fe0.9Cr2S4 (Cu0.1Fe0.9Cr2S4의 결정학적 및 자기적 성질에 관한 연구)

  • Son, Bae-Soon;Kim, Sam-Jin;Kim, Chul-Sung
    • Journal of the Korean Magnetics Society
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    • v.14 no.1
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    • pp.33-37
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    • 2004
  • Cu$_{0.1}$Fe$_{0.9}$Cr$_2$S$_4$ has been studied with Mossbauer spectroscopy, x-ray diffraction, vibrating sample magnetometer (VSM), and magnetoresistance (MR) measurement. The crystal structure was determined to be a cubic spinel with lattice parameter a$_{0}$=9.9880 $\AA$. The MR measurements show a semiconductor behavior below 110 K and metal behaved above 100 K. The temperature dependence of magnetization of Cu$_{0.1}$Fe$_{0.9}$Cr$_2$S$_4$ was reported. In addition to a large irreversibility between the zero-field-cooling (ZFC) and the field-cooling (FC) magnetization at applied field H=100 Oe, a cusp-like anomaly was observed in both the FC and ZFC curves. It shifted toward the lower temperature region with increasing magnetic field, and then showed convex type maximum at 110 K, under the applied field of 5 kOe. The Mossbauer spectra were measured from 15 K to room temperature. The asymmetric line broadening was observed for the sample Cu$_{0.1}$Fe$_{0.9}$Cr$_2$S$_4$, and it was considered to be dynamic Jahn-Teller relaxation. The charge state of Fe ions was ferrous in character. The unusual reduction of magnetic hyperfine field below 110 K was interpreted in terms of cancellation effect between the mutually opposite orbital current field (H$_{L}$) and Fermi contact field (H$_{C}$).

The Study of Antiferromagnetic Spin-lattice Coupling of FeCr2Se4 (FeCr2Se4의 반강자성 스핀-격자 상호작용 연구)

  • Kang, Ju-Hong;Son, Bae-Soon;Kim, Sam-Jin;Kim, Chul-Sung;Lee, H.G.;Park, Min-Seok;Lee, Sung-Ik
    • Journal of the Korean Magnetics Society
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    • v.17 no.2
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    • pp.86-89
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    • 2007
  • [ $FeCr_2Se_4$ ] prepared under the high pressure (3 GPa) has been studied with x-ray, neutron diffraction techniques, superconducting quantum interference device (SQUID) magnetometer, resistance, and Mossbauer spectroscopy. The temperature dependence of resistance is explained by Mott-VRH and small polaron model for the regions I (T<20 K) and II (T>42 K), respectively. Neutron diffraction results show an antiferromagnetic spin-lattice coupling near the Neel temperature. So finally the distance of atom is enlarged in region (110$FeCr_2Se_4$ shows convex type of temperature dependence.

Distribution of Electrically Conductive Sedimentary Layer in Jeju Island Derived from Magnetotelluric Measurements (MT 탐사자료를 이용한 제주도 지역의 전도성 퇴적층 분포 연구)

  • Lee, Choon-Ki;Lee, Heuisoon;Oh, Seokhoon;Chung, Hojoon;Song, Yoonho;Lee, Tae Jong
    • Geophysics and Geophysical Exploration
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    • v.17 no.1
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    • pp.28-33
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    • 2014
  • We investigate the spatial distribution of highly conductive layer using the one-dimensional inversions of the new magnetotelluric (MT) measurements obtained at the mid-mountain (400 ~ 900 m in elevation) western area of Jeju Island and the previous MT data over Jeju Island, Korea. The conductive layer indicates the sedimentary layer comprised of Seoguipo Fomation and U Formation. There is a definite positive correlation between the top of conductive layer and the earth surface in elevation. On the contrary, the bottom of conductive layer has a negative correlation with the surface elevation. In other words, the conductive layer has a shape of convex lens, which is thickest in the central part. The basement beneath the conductive layer could be concave in the central part of Jeju Island. A kriging considering the correlation between the layer boundary and the surface elevation provides a reliable geoelectric structure model of Jeju Island. However, further studies, i.e. three-dimensional modeling and interpretation integrated with other geophysical or logging data, are required to reveal the possible presence of three-dimensional conductive body near the subsurface vent of Mt. Halla and the causes of the bias in the depths of layer estimated from MT and core log data.

Diurnal Roosts Selection and Home Range Size in the Myotis Aurascens (Chiroptera: Vespertilionidae) Inhabiting a Rural Area (교외지역에 서식하는 Myotis aurascens의 주간휴식지 선택 및 행동권 크기)

  • Chung, Chul Un;Kim, Sung Chul;Han, Sang Hun
    • Journal of Environmental Science International
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    • v.22 no.9
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    • pp.1227-1234
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    • 2013
  • Between July and October 2011, radio-tracking was used to analyze the characteristics of home ranges and day roosts of Myotis aurascens by using 3 individuals (male: 2, female: 1). Bat capturing was conducted at a bridge and a nearby forest in Ulju-gun, Ulsan-si. We attached radio transmitters (0.32 g) to the bats and monitored them by using a radio receiver with a Yagi antenna. Home-range analysis of M. aurascens by using 100% minimum convex polygon (MCP) and 95% MCP showed an average of 106.5 ha and 89.3 ha, respectively, and 50% kernel home range (KHR) showed an average of 8.4 ha. Home range overlap of the 3 bats was observed at the bridge and at nearby water bodies as the core areas, and the size of the home range overlap was 7.3 ha by 100% MCP, 5.9 ha by 95% MCP, and 1.6 ha by 50% KHR. The home range for each bat consisted of the main foraging sites, and the types of foraging sites were similar. M. aurascens-01(M-01) used the bridge and nearby water bodies as the nightly main core areas, M. aurascens-02(M-02) used rice fields and water bodies adjacent to the forest as core areas, and M. aurascens-03(M-03) used water bodies and resident areas as core areas. Although rice fields and resident sites represented the core areas of the home ranges of M-02 and M-03, habitat use was the highest near water bodies as the core area for all the 3 bats. The types of day roosts in this study were a wooden house, canopies of a broad-leaved woodland, and banks of rice fields. The roosts in the wooden house and canopies of the broad-leaved woodland were located within the forest, and the roost in the banks of rice fields was also adjacent to the forest. Our results revealed that the main home range and foraging sites of M. aurascens were located near water bodies as the core area, and forests and places adjacent to the forests were used as day roosts.

Quasi-Three Dimensional Stability Analysis of the Geosynthetic-Reinforced Soil Retaining Wall System (GRS-RW 보강토벽체 공법의 준3차원 안정해석)

  • 김홍택;박준용
    • Geotechnical Engineering
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    • v.14 no.4
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    • pp.177-204
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    • 1998
  • In the present study, a method of quasi-three dimensional stability analysis is proposed for a systematic design of the GRS-RW(Geosynthetic-Reinforced Soil Retaining Wall) system based on the postulated three dimensional failure wedge. The proposed method could be applied to the analysis of the stability of both the straight-line and cove-shaped are. As with skew reinforcements. Maximum earth thrust expected to act on the rigid face wall is assumed to distribute along the depth, and wall displacements are predicted based on both the assumed compaction-induced earth pressures and one dimensional finite element method of analysis. For a verification of the procedure proposed in the present study, the predicted wall displacements are compared with chose obtained from the RMC tests in Canada and the FHWA tests in U.S.A. In these comparisons the wall displacements estimated by the methods of Christopher et at. and Chew & Mitchell are also included for further verification. Also, the predicted wall displacements for the convex-shaped zone reinforced with skew reinforcements are compared with those by $FLAC_{3D}$ program analyses. The assumed compaction-induced earth pressures evaluated on the basic of the proposed method of analysis are further compared with the measurements by the FHWA best wall. A parametric stduy is finally performed to investigate the effects of various design parameters for the stability of the GRS-RW system

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A Study on Characteristic of Forest Vegetation and site in Mt. Odae(II) - Site of Plant community in Tongdaesan - (오대산(五臺山)의 산림식생(山林植生)과 입지특성(立地特性)에 관한 연구(硏究)(II) - 동대산(東臺山) 식물군락(植物群落)의 입지특성(立地特性) -)

  • Yee, Sun
    • Journal of Korean Society of Forest Science
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    • v.89 no.5
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    • pp.552-563
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    • 2000
  • The aim of this study was to characterize the forest vegetation and site of Odaesan National Park for ecological forest management. The vegetation could be divided into two forest community groups, seven forest communities, and several subcommunities. South exposed, dry slopes were covered with forests of the Quercus mongolica-Acer pseudosieboldianum community group. Quercus mongolica-Acer pseudosieboldianum community group could be subdivided into ${\bullet}$ Rhododendron mucronulatum var. ciliatum community on dry sites, especially on south or south-westly exposed ridges or convex slopes; ${\bullet}$ Lespedeza${\times}$tomentella community on south exposed slopes, at low altitudes in the eastern part of the study area; ${\bullet}$ Carex humilis-Maackia amurensis community on south exposed slopes up to the montane region; ${\bullet}$ Quercus mongolica-Acer pseudo-sieboldianum typical community on south exposed middle and low slopes, and on upper and middle north exposed slopes; ${\bullet}$ Pimpinella brachycarpa community, preferably on moderately moist and cool sites. On north exposed, more humid and moist sites, forests of the Dryopteris crassirhizoma-Cornus controversa community group were found. This group was subdivided into ${\bullet}$ Acer tschonoskii var. rubripes-Acer tegmentosum community on moderately moist to moist, loamy soils on shady slopes; ${\bullet}$ Deutzia glabrata-Ulmus laciniata community on north exposed slopes with rocky soil and boulders, having high humidity. There are several rare and endangered species in Rhododendron mucronulatum var. ciliatum community, Carex humilis-Maackia amurensis community, Vicia venosa var. cuspidata subcommunity and Saxifraga punctata subcommunity, and the communities were located in azonal areas in topography. To protect the species, the areas should be categorized as an absolute conservation area, and any forest working should be prohibited in this area.

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The Effect of Acoustic Velocity of Ultrasonographic Equipment Using an N-365 Multipurpose Phantom (N-365 다목적팬텀에서 초음파진단장치의 음속변화 효과)

  • Kim, Yon-Min;Shim, Jae-Goo;Kim, Sang-Hyun
    • Journal of the Korean Society of Radiology
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    • v.11 no.4
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    • pp.221-225
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    • 2017
  • To evaluate the performance of ultrasound imaging system, we investigated the change of spatial resolution according to changing sonic velocity change parameter provided by ultrasound equipment. Ultrasound phantom images were obtained using a 3.0 ~ 5.0 MHz convex transducer in an ultrasound diagnostic device used at a medical institution located at Iksan. N-365 multi-purpose ultrasound phantom was used to measure longitudinal distance measurement accuracy and longitudinal and transverse resolution. In the same manner, the sonic velocity of the ultrasound equipment was changed from 1580 m/sec to 1400 m/sec in six steps, and the full width at half maximum(FWHM) was measured using the image J program to determine whether the measured values were different. As a result, lateral resolution was measured from 1.91 mm to 5.3 mm according to the speed change, and the smallest FWHM was 1.91 mm at 1420 m/sec. The axial resolution was measured from 1.03 mm to 1.14 mm according to the speed change, and the smallest FWHM was 1.03 mm at 1400 m/sec. The slower the sound velocity of the ultrasound equipment, the shorter the length of longitudinal measurement.

A novel TIGBT tructure with improved electrical characteristics (향상된 전기적 특성을 갖는 트렌치 게이트형 절연 게이트 바이폴라 트랜지스터에 관한 연구)

  • Koo, Yong-Seo;Son, Jung-Man
    • Journal of IKEEE
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    • v.11 no.4
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    • pp.158-164
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    • 2007
  • In this study, three types of a novel Trench IGBTs(Insulated Gate Bipolar Transistor) are proposed. The first structure has P-collector which is isolated by $SiO_2$ layer to enhance anode-injection-efficiency and enable the device to have a low on-state voltage drop(Von). And the second structure has convex P-base region between both gates. This structure may be effective to distributes electric-field crowded to gate edge. So this structure can have higher breakdown voltage(BV) than conventional trench-type IGBT(TIGBT). The process and device simulation results show improved on-state, breakdown and switching characteristics in each structure. The first one was presented lower on state voltage drop(2.1V) than that of conventional one(2.4V). Also, second structurehas higher breakdown voltage(1220V) and faster turn off time(9ns) than that of conventional structure. Finally, the last one of the proposed structure has combined the two structure (the first one and second one). This structure has superior electric characteristics than conventional structure about forward voltage drop and blocking capability, turnoff characteristics.

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Constraints of REE Distribution Patterns in Core Sediments and their Provenance, Northern East China Sea (북동중국해 코아 퇴적물의 희토류원소 분포양상과 기원)

  • Jung Hoi-Soo;Lim Dhong-il;Yang Shou Ye;Yoo Hai-Soo
    • Economic and Environmental Geology
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    • v.39 no.1 s.176
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    • pp.39-51
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    • 2006
  • Rare earth elements(REEs) in transgressive shelf core sediments were analysed to identify constraints of REE distribution patterns and sediment provenances in the northern East China Sea(ECS). Sediments of Chinese and Korean rivers, such as Huanghe and Yangtz rivers, Keum and Yeongsan rivers that supply sediments to the northern ECS, were also analysed to figure out their typical REE distribution patterns. The distribution patterns of Chinese and Korean river sediments, which are normalized with upper continental crust (UCC) REE values, appear to be enriched in middle rare earth elements (MREEs) in Chinese river sediments, whereas in light rare earth elements (LREEs) in Korean river sediments. We assign the MREE-enriched convex-type distribution pattern in Chinese river sediments as 'C-type', and the LREE-enriched linearly decreasing pattern in Korean river sediments as 'D-type'. A major constraint of the REE concentration in northern ECS core sediments is interpreted to be LREE-enriched monazite $((Ce,\;La)PO_4)$ that is ubiquitous in and around the study area. Meanwhile, the distribution pattern of northern ECS sediments appears to be between the C-type and the D-type. We suggest that the nothern ECS sediments are the mixture of China and Korea riverine sediments that have been accumulated in paleo-river mouth, paleo-coast, and present-day shelf environment as well.