dimensional

System and method for operating a web printing system to compensate for dimensional changes in the web

A method enables changes in the operation of a web printing system in response to web dimensional changes being detected. The method includes identifying a cross-process dimensional change in a web moving through a printing system, comparing the identified cross-process dimensional change to a predetermined threshold, and changing operation of a component in the web printing system in response to the cross-process dimensional change exceeding the predetermined threshold.




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System for responding to QR codes, ShotCodes, MobiTags, 2-dimensional bar codes, 3-dimensional bar codes, and images

System, including a code scanner, for using multi-function codes, such as multi-function QR codes, MobiTags, ShotCodes, 2-dimensional bar codes, 3-dimensional bar codes, or images to open multiple ports of a telephone device. One of the ports is a text port, enabling the system to obtain the telephone number of a device that reads a code associated with an item and then generate a lead for follow-up by an agent. The lead is sent to the agent via a text or email message. The system may also pass the lead to other agents if the first agent doesn't respond, and it may also send additional information to the telephone device. The system may include a database of item-associated information and the capability of accessing the item-associated information for inclusion in outgoing messages to the agents and/or the telephone device.




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System and approach to convey data with a handheld device via a multi-dimensional code

A system and approach for conveying engineering and license data with a handheld or mobile device via a multi-dimensional code. Engineering data from a page such as a schematic may be generated, formatted, and encoded with a multi-dimensional code. The code in a visual presentation may be embedded in the schematic. A mobile device may scan the code. The device with an appropriate application may decode and un-format the engineering data from the code for a consumer or user. License data may be generated, encrypted, and encoded in a multi-dimensional code. The code in a visual presentation may be scanned and decrypted by the mobile device with an appropriate application, for a consumer or user.




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Flip-flops in a monolithic three-dimensional (3D) integrated circuit (IC) (3DIC) and related methods

Flip-flops in a monolithic three-dimensional (3D) integrated circuit (IC)(3DIC) and related method are disclosed. In one embodiment, a single clock source is provided for the 3DIC and distributed to elements within the 3DIC. Delay is provided to clock paths by selectively controllable flip-flops to help provide synchronous operation. In certain embodiments, 3D flip-flop are provided that include a master latch disposed in a first tier of a 3DIC. The master latch is configured to receive a flip-flop input and a clock input, the master latch configured to provide a master latch output. The 3D flip-flop also includes at least one slave latch disposed in at least one additional tier of the 3DIC, the at least one slave latch configured to provide a 3DIC flip-flop output. The 3D flip-flop also includes at least one monolithic intertier via (MIV) coupling the master latch output to an input of the slave latch.




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Method for recording a four-dimensional angiography data record

A method for recording a four-dimensional angiography data record using an x-ray facility with a C-arm is proposed. Projection images are recorded from different projection directions at different time points of the cardiac cycle. A number of three-dimensional reconstruction image data records assigned respectively to a time segment of the cardiac cycle are reconstructed from the projection images and combined to form the four-dimensional angiography data record by temporal assignment in respect of the cardiac cycle. At least one recording parameter describing the temporal sequence is selected when recording the projection images as a function of cardiac stimulation performed to ensure a stable heart rate during recording so that the recording of the projection images takes place in such a manner that it is synchronized with the cardiac cycle.




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Tridimensional modeling apparatuses, system and kit for providing a representation of an exploration network

A tridimensional modeling apparatus, system and kit is for representing an exploration network. The apparatus, system and kit include a transparent hollow cube with six plane surfaces for representing an enclosed volume, a plurality of perforations on at least two of the six plane surfaces and indicia around each opening for marking polar coordinates and orientation. The apparatus, system and kit further include a plurality of transparent rods for representing exploration channels. The plurality of perforations on the cube are arranged for receiving rods for tridimensional modeling of the exploration network and each rod is inserted into an opening with an angle and a depth, thereby resulting in a visual representation of the exploration network within the represented volume.




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Three dimensional branchline coupler using through silicon vias and design structures

A three dimensional (3D) branchline coupler using through silicon vias (TSV), methods of manufacturing the same and design structures are disclosed. The method includes forming a first waveguide structure in a first dielectric material. The method further includes forming a second waveguide structure in a second dielectric material. The method further includes forming through silicon vias through a substrate formed between the first dielectric material and the second dielectric material, which connects the first waveguide structure to the second waveguide structure.




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Three-dimensional woven fabric and method for producing the same

A three-dimensional woven fabric including front layer, rear layer, and light-shielding layer connecting front layer to rear layer and a method thereof are disclosed. The light-shielding layer is formed by repeatedly overlapping first, second, and third light-shielding layers with another light-shielding layer with adjacent ones among the first to the third light-shielding layers overlapped. The front layer includes front parts formed by weaving front layer wrap threads and weft threads, the front parts have front layer-connecting parts formed by sequentially and repeatedly weaving front layer wrapwrap threads and weft threads and light-shielding layer wrap threads, the rear layer includes rear layer-connecting parts formed by weaving sequentially and repeatedly the rear layer wrap threads and weft threads and light-shielding layer wrap threads. The light-shielding layers are formed by weaving light-shielding layer wrap threads and the weft threads, and the light-shielding layers are sequentially and repeatedly connected to front layer-connecting parts and rear layer-connecting parts. Three-dimensional shapes are implemented without adhesive. Various designs and light-shielding control are available.




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Method and apparatus for detecting the three-dimensional structure of a log

A method for detecting the three-dimensional structure of a log comprises the operating steps of: making the log (2) rotate axially, leaving it free to translate during the rotation;during said rotation repeating the step of detecting the relative surface structure of the log (2) at least at one log surface portion (13), so that the relative surface structure of substantially all of the points of at least the log (2) lateral surface is detected at least once; andcombining the relative surface structures detected to reconstruct an overall surface structure for at least the log (2) lateral surface,the detection steps being carried out in such a way that each detection step result shares at least several points with at least one other detection step result, while the step of combining the relative surface structures is carried out in such a way that the shared points are made to coincide with each other.




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Three-dimensional nonvolatile memory devices including interposed floating gates

Provided are three-dimensional nonvolatile memory devices and methods of fabricating the same. The memory devices include semiconductor pillars penetrating interlayer insulating layers and conductive layers alternately stacked on a substrate and electrically connected to the substrate and floating gates selectively interposed between the semiconductor pillars and the conductive layers. The floating gates are formed in recesses in the conductive layers.




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Two-dimensional detection system for neutron radiation in the field of neutron scattering spectrometry

This invention relates to a two-dimensional detection system for neutron radiation comprising a means (1) for emitting a neutron beam (10), a support means (2) adapted for receiving a sample (3), a photoemission means (5) adapted for being activated by a neutron radiation, a cooled low light level charge-coupled detection device (7). The emission means (1) emits a monochromatic neutron beam (10). The system further comprises a filter means (4), the filter means (4) being located between the support means (2) and the photoemission means (5) and being adapted for trapping at least a substantial part of the monochromatic neutron beam transmitted (12) by the sample (3), and an amplification means (6) located upstream the charge-coupled detection device (7) and coupled with the charge-coupled detection device (7).




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Three-dimensional wire flying system

A three dimensional wire flying system includes a plurality of winches collectively hanging an object and a control unit for controlling the plurality of winches and the main safety device. Each of the plurality of winches includes a drum unit, a wire wound on the drum unit, a motor unit which provides power to the drum unit, a brake module which stops rotation of the drum unit, a limit switch which operates upon detecting a hardware limit state, and a servo-system. Each of the plurality of winches operates to move the object in a three dimensional space in three directions, including an up-down direction, a left-right direction and a forward-backward direction, and each winch provides a multi-level safety protection.




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Balloon with dividing fabric layers and method for braiding over three-dimensional forms

A medical balloon with a variable diameter that is reinforced with continuous fibers woven to form a fabric with a varying number of layers and fiber densities. Portions of the balloon having a relatively smaller diameter are reinforced with a fabric having a reduced fiber density and an increased number of layers to facilitate the placement of the layers. The fabric also includes a braiding pattern that facilitates the transition from a single layer fabric to a multiple layer fabric. Also described is a manufacturing method for the braiding and layering.




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Three dimensionally fiber-reinforced composite riser and methods of making the same

The present invention relates to a three dimensionally fiber-reinforced riser and to the unitary or single-step methods of making the same. In one embodiment (a cross bow riser for example), the riser has an interior support with opposed side members and a front brace. The front brace has a depression centrally located therein. Two side ribs are also provided for structural support. Two pockets each optionally having a divider wall defining a top and bottom section are provided for receiving respective top and bottom pieces of a split limb, when a split limb is used. The riser can be made of a composite material having fibers aligned there within in the directions of the highest stresses for enhancing the structural strength of the riser. Other bow parts or components can likewise be made via composite material as well.




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Methods and systems for multi-dimensional motion

An apparatus includes: a primary anchoring element, a beam mount movably connected to the primary anchoring element, a beam connected to the beam mount, a vessel mount movably connected to the beam, a vessel connected to the vessel mount, the vessel being movable along at least a vertical axis, and a control unit within the vessel. The control unit is configured to accept control input from a passenger within the vessel and transmit at least one control signal to cause the beam to move relative to the primary anchoring element, the vessel mount to move relative to the beam, and the vessel to move relative to the vessel mount independently.




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Pneumatic tire having tread provided with three-dimensionally shaped sipes

Provided is a pneumatic tire whose braking performance on ice and partial-wear resistance can be improved. Sipes 11X provided in a rib 5 on a tire equatorial plane TE are formed in such a three-dimensional shape that the amount at which the rib 5 collapses due to an external force is smaller in the tire rotational direction than in a direction opposite to the tire rotational direction. In each block 10 in each shoulder region 1S, sipes 11Ma in a block tread-in side portion 10A are each formed in such a three-dimensional shape that the amount at which the block 10, if entirely provided with the sipes 11Ma, collapses due to an external force will be smaller in the tire rotational direction than in the direction opposite to the tire rotational direction. Sipes 11Mb in a block kick-out side portion 10B are each formed in such a three-dimensional shape that the amount at which the block 10, if entirely provided with the sipes 11Mb, collapses due to an external force will be smaller in the direction opposite to the tire rotational direction than in the tire rotational direction.




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Fully integrated three-dimensional textile electrodes

There is described herein a knitting technique for creating a garment having one or more 3D textile electrodes integrated therein. The knitting technique involves knitting the item with integrated electrodes and transmission channels in one single step. The electrode is knit using conducting thread while a base fabric is knit using non-conducting thread. The electrode is knit on a first needle bed and the base fabric is knit on a second needle bed opposite to and facing the first needle bed, the two needle beds being separated by a few millimeters. During the knitting process, the surface knit on the first needle bed and the surface knit on the second needle bed may be linked using an isolating thread network that is simply deposited, without forming a mesh, on the fabric, in order to provide the three-dimensional effect.




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METHOD OF THREE-DIMENSIONAL GRAPHICAL REPRESENTATION OF A LANDING RUNWAY AXIS

The general field of the invention is that of methods of three-dimensional graphical representation of a landing runway on a viewing screen of an onboard viewing system for aircraft, the said graphical representation being displayed in a synthetic view of an exterior landscape. The graphical representation according to the invention comprises a line disposed along the axis of the runway, the said line being a straight stripe inclined by an angle of between one and a few degrees with respect to the horizontal, the said line beginning at the runway threshold.




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Computer-based method for real-time three-dimensional geological model calculation and reservoir navigation

A method of calculating a 3-D geologic model in real time using, as input, 2-D geologic data. The 3-D is used for conducting further drilling operations. The model may be updated in real time using additional measurements obtained during drilling operations.




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System and method for building three-dimensional objects with metal-based alloys

A digital manufacturing system comprises a build chamber, a build platform disposed within the build chamber, at least one extrusion line configured to heat a metal-based alloy up to a temperature between solidus and liquidus temperatures of the metal-based alloy, a deposition head disposed within the build chamber and configured to deposit the heated metal-based alloy onto the build platform in a predetermined pattern, an umbilical having a first end located outside of the build chamber and a second end connected to the deposition head, and at least one gantry assembly configured to cause relative motion between the build platform and the deposition head within the build chamber, where the at least one gantry assembly comprises a motor disposed outside of the build chamber.




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METHOD FOR GRAPHICALLY REPRESENTING A SYNTHETIC THREE-DIMENSIONAL VIEW OF THE EXTERIOR LANDSCAPE IN AN ON-BOARD VISUALISATION SYSTEM FOR AIRCRAFT

The general field of the invention is that of the graphical representation of a synthetic three dimensional view of the exterior landscape in an onboard visualisation system for aircraft, said graphical representation being displayed on a visualisation screen comprising the piloting and navigation information of said aircraft superposed onto said three-dimensional synthetic representation of the exterior landscape, said synthetic representation being computed up to a first determined distance, characterised in that said three-dimensional synthetic representation is tilted at a tilt angle about an axiom positioned at the level of the terrain in a substantially horizontal plane, and substantially perpendicularly to an axis between the flight direction and the heading of the aircraft, said axis moving with the aircraft.




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Three-dimensional camouflage pattern

The stealthiness of a camouflage fabric product is enhanced by rendering the camouflage pattern in three dimensional relief. In one implementation, a treatment such as an anti-pill treatment is applied to selected portions of the pattern prior to a finishing process. In the case of a circular web fabric, the finishing process may involve fleecing the fabric. In this manner, a cost effective process is provided for constructing a three-dimensional relief camouflage fabric product.




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TWO-DIMENSIONAL MATERIAL SEMICONDUCTOR DEVICE

A semiconductor device comprises a two-dimensional (2D) material layer, the 2D material layer comprising a channel region in between a source region and a drain region; a first gate stack and a second gate stack in contact with the 2D material layer, the first and second gate stack being spaced apart over a distance; the first gate stack located on the channel region of the 2D material layer and in between the source region and the second gate stack, the first gate stack arranged to control the injection of carriers from the source region to the channel region and the second gate stack located on the channel region of the 2D material layer; the second gate stack arranged to control the conduction of the channel region.




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THREE DIMENSIONAL DISPLAY APPARATUS

A three dimension apparatus is provided and includes a backlight source, a display panel and a fly-eye lens array. The backlight source is used for providing an emitted light, the display panel is used for displaying an image based on data signals, scan signals, and the emitted light from the backlight source. The backlight source includes a plurality of sub-pixel units. The fly-eye lens array includes a plurality of lens units for performing a convergence operation on the emitted light for the backlight source to achieve a three dimensional displaying for naked eyes. The shape of each of the lens units is a square.




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INTERPRETING RELATIONAL DATABASE STATEMENTS USING A VIRTUAL MULTIDIMENSIONAL DATA MODEL

The present disclosure provides improved systems, methods, and computer program products suited to address the issues with legacy approaches. Specifically, the present disclosure provides a detailed description of techniques used in systems, methods, and in computer program products for interpreting relational database statements using a virtual multidimensional data model. Certain embodiments are directed to technological solutions for receiving a relational database statement comprising relational metadata mapped to a virtual multidimensional representation of a subject database, and generating a subject database statement based at least in part on the relational database statement and the virtual multidimensional representation, and configurable to operate on the subject database to produce a visualization result set, which embodiments advance the technical fields for addressing the problem of projecting a multidimensional data view of a subject database on to a relational data analysis environment to enable real time data analyses, as well as advancing peripheral technical fields.




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Manufacturing Methods of JFET-Type Compact Three-Dimensional Memory

Manufacturing methods of JFET-type compact three-dimensional memory (3D-MC) are disclosed. In a memory level stacked above the substrate, an x-line extends from a memory array to an above-substrate decoding stage. A JFET-type transistor is formed on the x-line as a decoding device for the above-substrate decoding stage, where the overlap portion of the x-line with the control-line (c-line) is semi-conductive.




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Three-Dimensional Puzzle or Display Platform

A three-dimensional platform comprising a tessellated surface of pieces, each piece comprising a top and sides. The pieces comprise a fixed square piece having at least two opposing sides orientated acutely relative to the top to define a fixed square retention surface. The remaining surfaces orientate substantially perpendicular relative to the top. There is a mobile square piece having at least two opposing sides orientated obtusely relative to the top to define a mobile square retention surface. The remaining surfaces are oriented substantially perpendicular relative to the top. A mobile triangular piece having all sides orientated obtusely relative to the top. The fixed square retention surface indexes only with either the mobile square retention surface or the triangular piece surface to effect retention of the pieces to define the three-dimensional platform.




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BALLISTIC PICTURE FRAME FOR TWO DIMENSIONAL TARGETS

A ballistic picture frame for holding two dimensional paper targets, photographs or print art used for dry-fire training. The ballistic picture frame holds paper targets, photographs, or other two dimensional graphics or prints like conventional picture frames, but also provides a ballistic barrier for enhanced safety during dry-fire training. The ballistic frame includes a back panel constructed of ballistic materials that prevent projectile penetration through the frame in the event of a negligent discharge.




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ENHANCED DATA COMPRESSION FOR SPARSE MULTIDIMENSIONAL ORDERED SERIES DATA

Disclosed are methods and systems for significantly compressing sparse multidimensional ordered series data comprised of indexed data sets, wherein each data set comprises an index, a first variable and a second variable. The methods and systems are particularly suited for compression of data recorded in double precision floating point format.




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Volumetric Flow Regulation in Multi-Dimensional Liquid Analysis Systems

A multi-dimensional liquid analysis system includes a first dimension system and a second dimension system, wherein outflow from the first dimension system is separated at a flow splitter under controlled conditions. The flow splitter separates the first dimension outflow into first and second split outlet flows, with one of the split outlet flows being metered to a designated flow rate with a flow metering device disposed downstream from the flow splitter. The flow metering device selectively closes or opens an outlet flow path to define a volumetric flow rate along that outlet flow path, so that the other split outlet flow is correspondingly controlled.




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Macrogroove, three-dimensional sonograms

The unpredictable resurgence of vinyl has rekindled an interest in physical sonic structures. Gilles Azzaro’s “Macrogroove” realises the idea of a three-dimensional sonogram. It is a 3D printed ‘audio coding’, which is played by a laser beam, scanning the form




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Canterbury Bankstown Council sets sights on three-dimensional crossings to improve road safety

Three-dimensional zebra crossings have turned up in Iceland, England and even the tiny outback town of Boulia in Queensland and now one Sydney council is exploring whether it could join the trend.




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DEGOOD DIMENSIONAL CONCEPTS INC v. WILDER

(IN Court of Appeals) - Court of Appeals Case No. 19A-PL-141




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SiXforNinE Go Trans-dimensional With New 'Counting Stars' Video & Single

SiXforNinE Go Trans-dimensional With New 'Counting Stars' Video & Single




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Extending the Limits of Quantitative Proteome Profiling with Data-Independent Acquisition and Application to Acetaminophen-Treated Three-Dimensional Liver Microtissues

Roland Bruderer
May 1, 2015; 14:1400-1410
Research




dimensional

A Multidimensional Chromatography Technology for In-depth Phosphoproteome Analysis

Claudio P. Albuquerque
Jul 1, 2008; 7:1389-1396
Research




dimensional

On the existence of an operator group generated by the one-dimensional Dirac system

A. M. Savchuk and I. V. Sadovnichaya
Trans. Moscow Math. Soc. 80 (2020), 235-250.
Abstract, references and article information




dimensional

Finite-dimensional approximations to the Poincaré–Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity

S. A. Nazarov
Trans. Moscow Math. Soc. 80 (2020), 1-51.
Abstract, references and article information





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Three-dimensional noncompact ????-solutions that are Type I forward and backward

Xiaodong Cao, Bennett Chow and Yongjia Zhang
Proc. Amer. Math. Soc. 148 (2020), 2595-2600.
Abstract, references and article information




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One-Dimensional General Forest Fire Processes

Xavier Bressaud, Universite Paul Sabatier, and Nicolas Fournier, Universite Paris-Est - A publication of the Societe Mathematique de France, 2013, 138 pp., Softcover, ISBN-13: 978-2-85629-765-0, List: US$48, All AMS Members: US$38.40, SMFMEM/132

The authors consider the one-dimensional generalized forest fire process: at each site of (mathbb{Z}), seeds and matches fall according to i.i.d....




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Relative Equilibria in the 3-Dimensional Curved (n)-Body Problem

Florin Diacu, University of Victoria - AMS, 2014, 80 pp., Softcover, ISBN-13: 978-0-8218-9136-0, List: US$71, All AMS Members: US$56.80, MEMO/228/1071

The author considers the (3)-dimensional gravitational (n)-body problem, (nge 2), in spaces of constant Gaussian curvature (kappa e 0), i.e....




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Nonparametric confidence intervals for conditional quantiles with large-dimensional covariates

Laurent Gardes.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 661--701.

Abstract:
The first part of the paper is dedicated to the construction of a $gamma$ - nonparametric confidence interval for a conditional quantile with a level depending on the sample size. When this level tends to 0 or 1 as the sample size increases, the conditional quantile is said to be extreme and is located in the tail of the conditional distribution. The proposed confidence interval is constructed by approximating the distribution of the order statistics selected with a nearest neighbor approach by a Beta distribution. We show that its coverage probability converges to the preselected probability $gamma $ and its accuracy is illustrated on a simulation study. When the dimension of the covariate increases, the coverage probability of the confidence interval can be very different from $gamma $. This is a well known consequence of the data sparsity especially in the tail of the distribution. In a second part, a dimension reduction procedure is proposed in order to select more appropriate nearest neighbors in the right tail of the distribution and in turn to obtain a better coverage probability for extreme conditional quantiles. This procedure is based on the Tail Conditional Independence assumption introduced in (Gardes, Extremes , pp. 57–95, 18(3) , 2018).




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On the Letac-Massam conjecture and existence of high dimensional Bayes estimators for graphical models

Emanuel Ben-David, Bala Rajaratnam.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 580--604.

Abstract:
The Wishart distribution defined on the open cone of positive-definite matrices plays a central role in multivariate analysis and multivariate distribution theory. Its domain of parameters is often referred to as the Gindikin set. In recent years, varieties of useful extensions of the Wishart distribution have been proposed in the literature for the purposes of studying Markov random fields and graphical models. In particular, generalizations of the Wishart distribution, referred to as Type I and Type II (graphical) Wishart distributions introduced by Letac and Massam in Annals of Statistics (2007) play important roles in both frequentist and Bayesian inference for Gaussian graphical models. These distributions have been especially useful in high-dimensional settings due to the flexibility offered by their multiple-shape parameters. Concerning Type I and Type II Wishart distributions, a conjecture of Letac and Massam concerns the domain of multiple-shape parameters of these distributions. The conjecture also has implications for the existence of Bayes estimators corresponding to these high dimensional priors. The conjecture, which was first posed in the Annals of Statistics, has now been an open problem for about 10 years. In this paper, we give a necessary condition for the Letac and Massam conjecture to hold. More precisely, we prove that if the Letac and Massam conjecture holds on a decomposable graph, then no two separators of the graph can be nested within each other. For this, we analyze Type I and Type II Wishart distributions on appropriate Markov equivalent perfect DAG models and succeed in deriving the aforementioned necessary condition. This condition in particular identifies a class of counterexamples to the conjecture.




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Estimation of linear projections of non-sparse coefficients in high-dimensional regression

David Azriel, Armin Schwartzman.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 174--206.

Abstract:
In this work we study estimation of signals when the number of parameters is much larger than the number of observations. A large body of literature assumes for these kind of problems a sparse structure where most of the parameters are zero or close to zero. When this assumption does not hold, one can focus on low-dimensional functions of the parameter vector. In this work we study one-dimensional linear projections. Specifically, in the context of high-dimensional linear regression, the parameter of interest is ${oldsymbol{eta}}$ and we study estimation of $mathbf{a}^{T}{oldsymbol{eta}}$. We show that $mathbf{a}^{T}hat{oldsymbol{eta}}$, where $hat{oldsymbol{eta}}$ is the least squares estimator, using pseudo-inverse when $p>n$, is minimax and admissible. Thus, for linear projections no regularization or shrinkage is needed. This estimator is easy to analyze and confidence intervals can be constructed. We study a high-dimensional dataset from brain imaging where it is shown that the signal is weak, non-sparse and significantly different from zero.




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A fast and consistent variable selection method for high-dimensional multivariate linear regression with a large number of explanatory variables

Ryoya Oda, Hirokazu Yanagihara.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 1386--1412.

Abstract:
We put forward a variable selection method for selecting explanatory variables in a normality-assumed multivariate linear regression. It is cumbersome to calculate variable selection criteria for all subsets of explanatory variables when the number of explanatory variables is large. Therefore, we propose a fast and consistent variable selection method based on a generalized $C_{p}$ criterion. The consistency of the method is provided by a high-dimensional asymptotic framework such that the sample size and the sum of the dimensions of response vectors and explanatory vectors divided by the sample size tend to infinity and some positive constant which are less than one, respectively. Through numerical simulations, it is shown that the proposed method has a high probability of selecting the true subset of explanatory variables and is fast under a moderate sample size even when the number of dimensions is large.




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On lp-Support Vector Machines and Multidimensional Kernels

In this paper, we extend the methodology developed for Support Vector Machines (SVM) using the $ell_2$-norm ($ell_2$-SVM) to the more general case of $ell_p$-norms with $p>1$ ($ell_p$-SVM). We derive second order cone formulations for the resulting dual and primal problems. The concept of kernel function, widely applied in $ell_2$-SVM, is extended to the more general case of $ell_p$-norms with $p>1$ by defining a new operator called multidimensional kernel. This object gives rise to reformulations of dual problems, in a transformed space of the original data, where the dependence on the original data always appear as homogeneous polynomials. We adapt known solution algorithms to efficiently solve the primal and dual resulting problems and some computational experiments on real-world datasets are presented showing rather good behavior in terms of the accuracy of $ell_p$-SVM with $p>1$.




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High-Dimensional Interactions Detection with Sparse Principal Hessian Matrix

In statistical learning framework with regressions, interactions are the contributions to the response variable from the products of the explanatory variables. In high-dimensional problems, detecting interactions is challenging due to combinatorial complexity and limited data information. We consider detecting interactions by exploring their connections with the principal Hessian matrix. Specifically, we propose a one-step synthetic approach for estimating the principal Hessian matrix by a penalized M-estimator. An alternating direction method of multipliers (ADMM) is proposed to efficiently solve the encountered regularized optimization problem. Based on the sparse estimator, we detect the interactions by identifying its nonzero components. Our method directly targets at the interactions, and it requires no structural assumption on the hierarchy of the interactions effects. We show that our estimator is theoretically valid, computationally efficient, and practically useful for detecting the interactions in a broad spectrum of scenarios.




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Targeted Fused Ridge Estimation of Inverse Covariance Matrices from Multiple High-Dimensional Data Classes

We consider the problem of jointly estimating multiple inverse covariance matrices from high-dimensional data consisting of distinct classes. An $ell_2$-penalized maximum likelihood approach is employed. The suggested approach is flexible and generic, incorporating several other $ell_2$-penalized estimators as special cases. In addition, the approach allows specification of target matrices through which prior knowledge may be incorporated and which can stabilize the estimation procedure in high-dimensional settings. The result is a targeted fused ridge estimator that is of use when the precision matrices of the constituent classes are believed to chiefly share the same structure while potentially differing in a number of locations of interest. It has many applications in (multi)factorial study designs. We focus on the graphical interpretation of precision matrices with the proposed estimator then serving as a basis for integrative or meta-analytic Gaussian graphical modeling. Situations are considered in which the classes are defined by data sets and subtypes of diseases. The performance of the proposed estimator in the graphical modeling setting is assessed through extensive simulation experiments. Its practical usability is illustrated by the differential network modeling of 12 large-scale gene expression data sets of diffuse large B-cell lymphoma subtypes. The estimator and its related procedures are incorporated into the R-package rags2ridges.




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Noise Accumulation in High Dimensional Classification and Total Signal Index

Great attention has been paid to Big Data in recent years. Such data hold promise for scientific discoveries but also pose challenges to analyses. One potential challenge is noise accumulation. In this paper, we explore noise accumulation in high dimensional two-group classification. First, we revisit a previous assessment of noise accumulation with principal component analyses, which yields a different threshold for discriminative ability than originally identified. Then we extend our scope to its impact on classifiers developed with three common machine learning approaches---random forest, support vector machine, and boosted classification trees. We simulate four scenarios with differing amounts of signal strength to evaluate each method. After determining noise accumulation may affect the performance of these classifiers, we assess factors that impact it. We conduct simulations by varying sample size, signal strength, signal strength proportional to the number predictors, and signal magnitude with random forest classifiers. These simulations suggest that noise accumulation affects the discriminative ability of high-dimensional classifiers developed using common machine learning methods, which can be modified by sample size, signal strength, and signal magnitude. We developed the measure total signal index (TSI) to track the trends of total signal and noise accumulation.