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At least 793 records · Page 44

Attribute-Guided Adversarial Training for Robustness to Natural Perturbations

We report while existing work in robust deep learning has focused on small pixel-level norm-based perturbations, this may not account for perturbations encountered in several real world settings. In many such cases although test data might not be available, broad specifications about the types of perturbations (such as an unknown degree of rotation) may be known. We consider a setup where robustness is expected over an unseen test domain that is not i.i.d. but deviates from the training domain. While this deviation may not be exactly known, its broad characterization is specified a priori, in terms of attributes. We propose an adversarial training approach which learns to generate new samples so as to maximize exposure of the classifier to the attributes-space, without having access to the data from the test domain. Our adversarial training solves a min-max optimization problem, with the inner maximization generating adversarial perturbations, and the outer minimization finding model parameters by optimizing the loss on adversarial perturbations generated from the inner maximization. We demonstrate the applicability of our approach on three types of naturally occurring perturbations --- object-related shifts, geometric transformations, and common image corruptions. Our approach enables deep neural networks to be robust against a wide range of naturally occurring perturbations. We demonstrate the usefulness of the proposed approach by showing the robustness gains of deep neural networks trained using our adversarial training on MNIST, CIFAR-10, and a new variant of the CLEVR dataset.

97 MATHEMATICS AND COMPUTING↗

Materials Data on ScTe by Materials Project

ScTe is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Sc2+ is bonded to six equivalent Te2- atoms to form a mixture of corner, edge, and face-sharing ScTe6 octahedra. The corner-sharing octahedral tilt angles are 48°. All Sc–Te bond lengths are 2.96 Å. Te2- is bonded to six equivalent Sc2+ atoms to form a mixture of distorted corner and edge-sharing TeSc6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TiAs by Materials Project

TiAs is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ti3+ is bonded to six equivalent As3- atoms to form a mixture of face, edge, and corner-sharing TiAs6 octahedra. The corner-sharing octahedral tilt angles are 48°. All Ti–As bond lengths are 2.61 Å. As3- is bonded to six equivalent Ti3+ atoms to form a mixture of distorted edge and corner-sharing AsTi6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on SbIr by Materials Project

IrSb is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ir3+ is bonded to six equivalent Sb3- atoms to form a mixture of corner, edge, and face-sharing IrSb6 octahedra. The corner-sharing octahedral tilt angles are 51°. All Ir–Sb bond lengths are 2.73 Å. Sb3- is bonded in a 6-coordinate geometry to six equivalent Ir3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MnSe by Materials Project

MnSe is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Mn2+ is bonded to six equivalent Se2- atoms to form a mixture of edge, face, and corner-sharing MnSe6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Mn–Se bond lengths are 2.68 Å. Se2- is bonded in a 6-coordinate geometry to six equivalent Mn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on VTe by Materials Project

TeV is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. V2+ is bonded to six equivalent Te2- atoms to form a mixture of corner, edge, and face-sharing VTe6 octahedra. The corner-sharing octahedral tilt angles are 50°. All V–Te bond lengths are 2.82 Å. Te2- is bonded in a 6-coordinate geometry to six equivalent V2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TmTe by Materials Project

TmTe is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Tm is bonded to six equivalent Te atoms to form a mixture of distorted edge and corner-sharing TmTe6 pentagonal pyramids. All Tm–Te bond lengths are 3.07 Å. Te is bonded to six equivalent Tm atoms to form a mixture of edge, face, and corner-sharing TeTm6 octahedra. The corner-sharing octahedral tilt angles are 45°.

36 MATERIALS SCIENCE↗

Materials Data on AlAs by Materials Project

AlAs is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Al3+ is bonded to six equivalent As3- atoms to form a mixture of edge, corner, and face-sharing AlAs6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Al–As bond lengths are 2.65 Å. As3- is bonded in a 6-coordinate geometry to six equivalent Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on ZrP by Materials Project

ZrP is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Zr3+ is bonded to six P3- atoms to form a mixture of edge, face, and corner-sharing ZrP6 octahedra. The corner-sharing octahedra tilt angles range from 0–46°. There are three shorter (2.59 Å) and three longer (2.73 Å) Zr–P bond lengths. There are two inequivalent P3- sites. In the first P3- site, P3- is bonded to six equivalent Zr3+ atoms to form a mixture of distorted edge and corner-sharing PZr6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 4°. In the second P3- site, P3- is bonded to six equivalent Zr3+ atoms to form a mixture of edge and corner-sharing PZr6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sb2Te3 by Materials Project

Sb2Te3 is MAX Phase-derived structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three Sb2Te3 sheets oriented in the (0, 0, 1) direction. Sb3+ is bonded to six Te2- atoms to form a mixture of edge and corner-sharing SbTe6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (3.03 Å) and three longer (3.19 Å) Sb–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to six equivalent Sb3+ atoms to form edge-sharing TeSb6 octahedra. In the second Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent Sb3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on FeN by Materials Project

FeN is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Fe3+ is bonded to six equivalent N3- atoms to form a mixture of edge, corner, and face-sharing FeN6 octahedra. The corner-sharing octahedral tilt angles are 46°. All Fe–N bond lengths are 2.02 Å. N3- is bonded to six equivalent Fe3+ atoms to form a mixture of distorted edge and corner-sharing NFe6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti2Te2P by Materials Project

Ti2PTe2 is MAX Phase-like structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three Ti2PTe2 sheets oriented in the (0, 0, 1) direction. Ti+3.50+ is bonded to three equivalent P3- and three equivalent Te2- atoms to form a mixture of corner and edge-sharing TiTe3P3 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ti–P bond lengths are 2.49 Å. All Ti–Te bond lengths are 2.78 Å. P3- is bonded to six equivalent Ti+3.50+ atoms to form edge-sharing PTi6 octahedra. Te2- is bonded in a 3-coordinate geometry to three equivalent Ti+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CoS by Materials Project

CoS is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Co2+ is bonded to six equivalent S2- atoms to form a mixture of edge, corner, and face-sharing CoS6 octahedra. The corner-sharing octahedral tilt angles are 49°. All Co–S bond lengths are 2.32 Å. S2- is bonded in a 6-coordinate geometry to six equivalent Co2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ge(Te2As)2 by Materials Project

As2Te3(GeTe) is MAX Phase-like structured and crystallizes in the trigonal R-3m space group. The structure is two-dimensional and consists of three As2Te3(GeTe) sheets oriented in the (0, 0, 1) direction. Ge4+ is bonded to six equivalent Te2- atoms to form GeTe6 octahedra that share corners with six equivalent AsTe6 octahedra, edges with six equivalent GeTe6 octahedra, and edges with six equivalent AsTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. All Ge–Te bond lengths are 2.97 Å. As2+ is bonded to six Te2- atoms to form AsTe6 octahedra that share corners with three equivalent GeTe6 octahedra, edges with three equivalent GeTe6 octahedra, and edges with six equivalent AsTe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.85 Å) and three longer (3.03 Å) As–Te bond lengths. There are two inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent As2+ atoms. In the second Te2- site, Te2- is bonded to three equivalent Ge4+ and three equivalent As2+ atoms to form a mixture of corner and edge-sharing TeGe3As3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Ge2Te5As2 by Materials Project

As2Ge2Te5 is MAX Phase-like structured and crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one As2Ge2Te5 sheet oriented in the (0, 0, 1) direction. Ge4+ is bonded to six Te2- atoms to form GeTe6 octahedra that share corners with three equivalent GeTe6 octahedra, corners with three equivalent AsTe6 octahedra, edges with three equivalent AsTe6 octahedra, and edges with nine equivalent GeTe6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.97 Å) and three longer (3.00 Å) Ge–Te bond lengths. As1+ is bonded to six Te2- atoms to form AsTe6 octahedra that share corners with three equivalent GeTe6 octahedra, edges with three equivalent GeTe6 octahedra, and edges with six equivalent AsTe6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (2.86 Å) and three longer (3.04 Å) As–Te bond lengths. There are three inequivalent Te2- sites. In the first Te2- site, Te2- is bonded to three equivalent Ge4+ and three equivalent As1+ atoms to form TeGe3As3 octahedra that share corners with three equivalent TeGe6 octahedra and edges with nine TeGe3As3 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second Te2- site, Te2- is bonded in a 3-coordinate geometry to three equivalent As1+ atoms. In the third Te2- site, Te2- is bonded to six equivalent Ge4+ atoms to form a mixture of edge and corner-sharing TeGe6 octahedra. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗

Materials Data on CoAs by Materials Project

CoAs is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Co3+ is bonded to six equivalent As3- atoms to form a mixture of face, edge, and corner-sharing CoAs6 octahedra. The corner-sharing octahedral tilt angles are 50°. All Co–As bond lengths are 2.41 Å. As3- is bonded in a 6-coordinate geometry to six equivalent Co3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MoC by Materials Project

MoC is Molybdenum Carbide MAX Phase structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Mo4+ sites. In the first Mo4+ site, Mo4+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing MoC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.13 Å) and three longer (2.26 Å) Mo–C bond lengths. In the second Mo4+ site, Mo4+ is bonded to six equivalent C4- atoms to form a mixture of distorted edge and corner-sharing MoC6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 2°. All Mo–C bond lengths are 2.19 Å. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded to six equivalent Mo4+ atoms to form a mixture of edge and corner-sharing CMo6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the second C4- site, C4- is bonded to six Mo4+ atoms to form a mixture of face, edge, and corner-sharing CMo6 octahedra. The corner-sharing octahedra tilt angles range from 5–48°.

36 MATERIALS SCIENCE↗

Materials Data on NbN by Materials Project

NbN is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Nb3+ is bonded to six N3- atoms to form a mixture of face, edge, and corner-sharing NbN6 octahedra. The corner-sharing octahedra tilt angles range from 0–45°. There are three shorter (2.23 Å) and three longer (2.26 Å) Nb–N bond lengths. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to six equivalent Nb3+ atoms to form a mixture of edge and corner-sharing NNb6 octahedra. In the second N3- site, N3- is bonded to six equivalent Nb3+ atoms to form a mixture of distorted edge and corner-sharing NNb6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗