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0 R /R1088 1082 0 R /R1089 1083 0 R /R1082 1084 0 R /R1083 1085 0 R /R1080 1086 0 R /R1081 1087 0 R /R1086 1088 0 R /R1087 1089 0 R /R1084 1090 0 R /R1085 1091 0 R /R2930 1092 0 R /R1342 1093 0 R /R589 1094 0 R /R588 1095 0 R /R1950 1096 0 R /R1951 1097 0 R /R1952 1098 0 R /R1953 1099 0 R /R1954 1100 0 R /R1955 1101 0 R /R1956 1102 0 R /R2442 1103 0 R /R1958 1104 0 R /R1959 1105 0 R /R1776 1106 0 R /R1777 1107 0 R /R1770 1108 0 R /R2337 1109 0 R /R1772 1110 0 R /R1773 1111 0 R /R1554 1112 0 R /R1555 1113 0 R /R1556 1114 0 R /R2440 1115 0 R /R1550 1116 0 R /R1551 1117 0 R /R1552 1118 0 R /R1553 1119 0 R /R466 1120 0 R /R2447 1121 0 R /R1558 1122 0 R /R1559 1123 0 R /R1228 1124 0 R /R2330 1125 0 R /R1796 1126 0 R /R1797 1127 0 R /R1794 1128 0 R /R1795 1129 0 R /R1792 1130 0 R /R1793 1131 0 R /R1790 1132 0 R /R1791 1133 0 R /R325 1134 0 R /R324 1135 0 R /R327 1136 0 R /R2444 1137 0 R /R321 1138 0 R /R320 1139 0 R /R1798 1140 0 R /R1799 1141 0 R /R2936 1142 0 R /R467 1143 0 R /R2540 1144 0 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1208 0 R /R533 1209 0 R /R538 1210 0 R /R539 1211 0 R /R3031 1212 0 R /R3030 1213 0 R /R3033 1214 0 R /R3032 1215 0 R /R3035 1216 0 R /R3034 1217 0 R /R3037 1218 0 R /R3036 1219 0 R /R3039 1220 0 R /R3038 1221 0 R /R848 1222 0 R /R849 1223 0 R /R2528 1224 0 R /R2529 1225 0 R /R2038 1226 0 R /R2039 1227 0 R /R2520 1228 0 R /R2033 1229 0 R /R2522 1230 0 R /R2523 1231 0 R /R2524 1232 0 R /R2037 1233 0 R /R2034 1234 0 R /R2527 1235 0 R /R831 1236 0 R /R830 1237 0 R /R833 1238 0 R /R784 1239 0 R /R835 1240 0 R /R834 1241 0 R /R781 1242 0 R /R780 1243 0 R /R2146 1244 0 R /R2147 1245 0 R /R2144 1246 0 R /R2145 1247 0 R /R2142 1248 0 R /R2143 1249 0 R /R2140 1250 0 R /R2141 1251 0 R /R424 1252 0 R /R2148 1253 0 R /R2149 1254 0 R /R2928 1255 0 R /R425 1256 0 R /R688 1257 0 R /R422 1258 0 R /R689 1259 0 R /R423 1260 0 R /R3002 1261 0 R /R3003 1262 0 R /R2929 1263 0 R /R2847 1264 0 R /R2846 1265 0 R /R682 1266 0 R /R683 1267 0 R /R3149 1268 0 R /R3148 1269 0 R /R3141 1270 0 R /R3140 1271 0 R 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1716 0 R /R426 1717 0 R /R220 1718 0 R /R527 1719 0 R /R222 1720 0 R /R223 1721 0 R /R224 1722 0 R /R225 1723 0 R /R226 1724 0 R /R526 1725 0 R /R525 1726 0 R /R524 1727 0 R /R1778 1728 0 R /R1929 1729 0 R /R1928 1730 0 R /R1145 1731 0 R /R1144 1732 0 R /R1143 1733 0 R /R1142 1734 0 R /R1141 1735 0 R /R1140 1736 0 R /R1921 1737 0 R /R1920 1738 0 R /R1923 1739 0 R /R1922 1740 0 R /R1925 1741 0 R /R1924 1742 0 R /R1927 1743 0 R /R1926 1744 0 R /R314 1745 0 R /R315 1746 0 R /R316 1747 0 R /R317 1748 0 R /R310 1749 0 R /R311 1750 0 R /R312 1751 0 R /R313 1752 0 R /R1217 1753 0 R /R1216 1754 0 R /R1215 1755 0 R /R1214 1756 0 R /R1213 1757 0 R /R1212 1758 0 R /R1211 1759 0 R /R1210 1760 0 R /R2515 1761 0 R /R965 1762 0 R /R2514 1763 0 R /R2045 1764 0 R /R2044 1765 0 R /R857 1766 0 R /R2042 1767 0 R /R1855 1768 0 R /R1854 1769 0 R /R1321 1770 0 R /R1856 1771 0 R /R1851 1772 0 R /R1326 1773 0 R /R1325 1774 0 R /R1324 1775 0 R /R1329 1776 0 R /R2512 1777 0 R /R1859 1778 0 R /R1858 1779 0 R 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R /R567 1843 0 R /R566 1844 0 R /R565 1845 0 R /R564 1846 0 R /R563 1847 0 R /R562 1848 0 R /R561 1849 0 R /R560 1850 0 R /R2551 1851 0 R /R2550 1852 0 R /R2001 1853 0 R /R2552 1854 0 R /R769 1855 0 R /R768 1856 0 R /R2557 1857 0 R /R2556 1858 0 R /R2559 1859 0 R /R2558 1860 0 R /R2009 1861 0 R /R2008 1862 0 R /R813 1863 0 R /R760 1864 0 R /R763 1865 0 R /R810 1866 0 R /R2821 1867 0 R /R2820 1868 0 R /R2823 1869 0 R /R2822 1870 0 R /R2825 1871 0 R /R2824 1872 0 R /R2827 1873 0 R /R2826 1874 0 R /R2829 1875 0 R /R2828 1876 0 R /R2799 1877 0 R /R2798 1878 0 R /R851 1879 0 R /R1350 1880 0 R /R855 1881 0 R /R1205 1882 0 R /R854 1883 0 R /R969 1884 0 R /R968 1885 0 R /R2179 1886 0 R /R1209 1887 0 R /R2177 1888 0 R /R2176 1889 0 R /R2175 1890 0 R /R2174 1891 0 R /R2173 1892 0 R /R2172 1893 0 R /R2171 1894 0 R /R2170 1895 0 R /R614 1896 0 R /R958 1897 0 R /R2543 1898 0 R /R613 1899 0 R /R3198 1900 0 R /R3199 1901 0 R /R3196 1902 0 R /R3197 1903 0 R /R3194 1904 0 R /R3195 1905 0 R /R3192 1906 0 R /R3193 1907 0 R /R3190 1908 0 R /R3191 1909 0 R /R585 1910 0 R /R2713 1911 0 R /R587 1912 0 R /R586 1913 0 R /R581 1914 0 R /R580 1915 0 R /R3208 1916 0 R /R3209 1917 0 R /R3206 1918 0 R /R3207 1919 0 R /R3204 1920 0 R /R3205 1921 0 R /R3202 1922 0 R /R3203 1923 0 R /R3200 1924 0 R /R3201 1925 0 R /R2710 1926 0 R /R2717 1927 0 R /R2716 1928 0 R /R2715 1929 0 R /R2714 1930 0 R /R957 1931 0 R /R521 1932 0 R /R1048 1933 0 R /R1049 1934 0 R /R1046 1935 0 R /R1047 1936 0 R /R1044 1937 0 R /R1045 1938 0 R /R1042 1939 0 R /R1043 1940 0 R /R1040 1941 0 R /R1041 1942 0 R /R3099 1943 0 R /R1914 1944 0 R /R1915 1945 0 R /R1916 1946 0 R /R1917 1947 0 R /R1910 1948 0 R /R1911 1949 0 R /R1912 1950 0 R /R1913 1951 0 R /R1918 1952 0 R /R1919 1953 0 R /R2544 1954 0 R /R1132 1955 0 R /R1133 1956 0 R /R1130 1957 0 R /R1131 1958 0 R /R1136 1959 0 R /R1137 1960 0 R /R1134 1961 0 R /R1135 1962 0 R /R1138 1963 0 R /R1139 1964 0 R /R361 1965 0 R /R1599 1966 0 R /R1268 1967 0 R /R362 1968 0 R /R365 1969 0 R /R364 1970 0 R /R367 1971 0 R /R366 1972 0 R /R1262 1973 0 R /R1263 1974 0 R /R1592 1975 0 R /R1593 1976 0 R /R1594 1977 0 R /R1595 1978 0 R /R1596 1979 0 R /R1597 1980 0 R /R1334 1981 0 R /R2436 1982 0 R /R1335 1983 0 R /R1336 1984 0 R /R2933 1985 0 R /R1860 1986 0 R /R1861 1987 0 R /R1862 1988 0 R /R1863 1989 0 R /R1864 1990 0 R /R1865 1991 0 R /R1866 1992 0 R /R1867 1993 0 R /R1868 1994 0 R /R1869 1995 0 R /R1686 1996 0 R /R1687 1997 0 R /R1680 1998 0 R /R1681 1999 0 R /R1682 2000 0 R /R1683 2001 0 R /R1464 2002 0 R /R1465 2003 0 R /R1466 2004 0 R /R1467 2005 0 R /R1460 2006 0 R /R1840 2007 0 R /R1462 2008 0 R /R1463 2009 0 R /R1333 2010 0 R /R1468 2011 0 R /R1469 2012 0 R /R2790 2013 0 R /R1667 2014 0 R /R1664 2015 0 R /R1665 2016 0 R /R1662 2017 0 R /R1663 2018 0 R /R1660 2019 0 R /R1661 2020 0 R /R1668 2021 0 R /R1669 2022 0 R /R2151 2023 0 R /R2549 2024 0 R /R868 2025 0 R /R1269 2026 0 R /R3004 2027 0 R /R765 2028 0 R /R2150 2029 0 R /R869 2030 0 R /R3005 2031 0 R /R866 2032 0 R /R2362 2033 0 R /R2363 2034 0 R /R2360 2035 0 R /R2361 2036 0 R /R2366 2037 0 R /R2367 2038 0 R /R2364 2039 0 R /R2365 2040 0 R /R2368 2041 0 R /R2369 2042 0 R /R615 2043 0 R /R867 2044 0 R /R617 2045 0 R /R616 2046 0 R /R611 2047 0 R /R610 2048 0 R /R2797 2049 0 R /R612 2050 0 R /R619 2051 0 R /R618 2052 0 R /R776 2053 0 R /R801 2054 0 R /R2388 2055 0 R /R774 2056 0 R /R864 2057 0 R /R2968 2058 0 R /R2969 2059 0 R /R803 2060 0 R /R2477 2061 0 R /R2960 2062 0 R /R2560 2063 0 R /R2962 2064 0 R /R2963 2065 0 R /R2964 2066 0 R /R2965 2067 0 R /R2966 2068 0 R /R2967 2069 0 R /R578 2070 0 R /R579 2071 0 R /R806 2072 0 R /R570 2073 0 R /R571 2074 0 R /R572 2075 0 R /R573 2076 0 R /R574 2077 0 R /R575 2078 0 R /R576 2079 0 R /R577 2080 0 R /R808 2081 0 R /R809 2082 0 R /R2568 2083 0 R /R2569 2084 0 R /R778 2085 0 R /R779 2086 0 R /R800 2087 0 R /R2565 2088 0 R /R802 2089 0 R /R2567 2090 0 R /R804 2091 0 R /R2561 2092 0 R /R2562 2093 0 R /R2563 2094 0 R /R2818 2095 0 R /R2819 2096 0 R /R2768 2097 0 R /R2769 2098 0 R /R2814 2099 0 R /R2815 2100 0 R /R2816 2101 0 R /R2817 2102 0 R /R2810 2103 0 R /R2811 2104 0 R /R2812 2105 0 R /R2761 2106 0 R /R2586 2107 0 R /R2587 2108 0 R /R2584 2109 0 R /R2585 2110 0 R /R2582 2111 0 R /R2583 2112 0 R /R2580 2113 0 R /R2581 2114 0 R /R748 2115 0 R /R2588 2116 0 R /R2589 2117 0 R /R2766 2118 0 R /R2767 2119 0 R /R2931 2120 0 R /R2764 2121 0 R /R974 2122 0 R /R975 2123 0 R /R976 2124 0 R /R2765 2125 0 R /R970 2126 0 R /R971 2127 0 R /R972 2128 0 R /R973 2129 0 R /R2762 2130 0 R /R978 2131 0 R /R979 2132 0 R /R2763 2133 0 R /R2108 2134 0 R /R2109 2135 0 R /R2760 2136 0 R /R2102 2137 0 R /R2103 2138 0 R /R2100 2139 0 R /R2813 2140 0 R /R2796 2141 0 R /R2107 2142 0 R /R2104 2143 0 R /R2105 2144 0 R /R3189 2145 0 R /R3188 2146 0 R /R518 2147 0 R /R3185 2148 0 R /R3184 2149 0 R /R3187 2150 0 R /R3186 2151 0 R /R3181 2152 0 R /R3180 2153 0 R /R3183 2154 0 R /R3182 2155 0 R /R2616 2156 0 R /R2617 2157 0 R /R2614 2158 0 R /R2615 2159 0 R /R2612 2160 0 R /R3218 2161 0 R /R2610 2163 0 R /R591 2164 0 R /R3215 2165 0 R /R3214 2166 0 R /R3217 2162 0 R /R3216 2167 0 R /R3211 2369 0 R /R3210 2370 0 R /R598 2371 0 R /R599 2372 0 R /R767 2765 0 R /R826 2373 0 R /R2534 2374 0 R /R1059 2375 0 R /R1058 2376 0 R /R1055 2377 0 R /R1054 2378 0 R /R1057 2379 0 R /R1056 2380 0 R /R1051 2381 0 R /R1050 2382 0 R /R1053 2383 0 R /R1052 2384 0 R /R2611 2563 0 R /R514 2218 0 R /R1903 2385 0 R /R2533 2386 0 R /R1901 2387 0 R /R1900 2388 0 R /R1907 2389 0 R /R1906 2390 0 R /R1905 2391 0 R /R1904 2392 0 R /R1715 2393 0 R /R1909 2394 0 R /R1908 2395 0 R /R1121 2396 0 R /R1120 2397 0 R /R1123 2398 0 R /R1122 2399 0 R /R1125 2400 0 R /R1124 2401 0 R /R1127 2402 0 R /R1126 2403 0 R /R1129 2404 0 R /R1128 2405 0 R /R515 2219 0 R /R2532 2406 0 R /R1279 2407 0 R /R1278 2408 0 R /R370 2409 0 R /R371 2410 0 R /R376 2411 0 R /R377 2412 0 R /R374 2413 0 R /R375 2414 0 R /R1271 2415 0 R /R1270 2416 0 R /R1273 2417 0 R /R1272 2418 0 R /R1275 2419 0 R /R1274 2420 0 R /R1277 2421 0 R /R1276 2422 0 R /R977 2423 0 R /R946 2424 0 R /R509 2183 0 R /R2531 2425 0 R /R508 2184 0 R /R766 2782 0 R /R1023 2426 0 R /R2530 2435 0 R /R1699 2428 0 R /R1698 2429 0 R /R1879 2430 0 R /R1878 2431 0 R /R1693 2432 0 R /R1876 2918 0 R /R1875 2919 0 R /R1690 2922 0 R /R1873 2924 0 R /R1696 2325 0 R /R1871 2926 0 R /R1870 2927 0 R /R1473 2440 0 R /R1472 2441 0 R /R1471 2442 0 R /R1470 2938 0 R /R1477 2444 0 R /R1476 2445 0 R /R1475 2446 0 R /R1474 2447 0 R /R1479 2448 0 R /R1478 2449 0 R /R213 2237 0 R /R1675 2450 0 R /R1674 2451 0 R /R1677 2452 0 R /R1319 2453 0 R /R1671 2454 0 R /R1670 2455 0 R /R1673 2456 0 R /R510 2177 0 R /R502 2186 0 R /R1679 2458 0 R /R1678 2459 0 R /R214 2238 0 R /R2065 2187 0 R /R2064 2188 0 R /R2069 2460 0 R /R1461 2352 0 R /R1587 2461 0 R /R1586 2568 0 R /R1585 2463 0 R /R1584 2464 0 R /R1583 2465 0 R /R511 2220 0 R /R1581 2467 0 R /R1580 3026 0 R /R879 2189 0 R /R1589 2468 0 R /R1588 2712 0 R /R875 2191 0 R /R1327 2338 0 R /R878 2190 0 R 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0 R /R903 2521 0 R /R902 2522 0 R /R905 2523 0 R /R904 2524 0 R /R907 2525 0 R /R906 2526 0 R /R909 2527 0 R /R908 2528 0 R /R2977 2529 0 R /R2118 2234 0 R /R2975 2530 0 R /R2974 2531 0 R /R2973 2532 0 R /R2972 2533 0 R /R2971 2534 0 R /R2970 2535 0 R /R2111 2536 0 R /R2110 2537 0 R /R2113 2538 0 R /R2112 2539 0 R /R2115 2540 0 R /R2114 2541 0 R /R2117 2542 0 R /R1779 2241 0 R /R870 2196 0 R /R1957 2242 0 R /R420 3033 0 R /R1774 2243 0 R /R1775 2244 0 R /R421 3034 0 R /R1771 2245 0 R /R2605 2544 0 R /R2604 2545 0 R /R2607 2546 0 R /R2606 2547 0 R /R2601 2548 0 R /R2600 2549 0 R /R2603 2550 0 R /R2602 2551 0 R /R3222 3271 0 R /R3223 3272 0 R /R2609 2553 0 R /R2608 2554 0 R /R3226 3273 0 R /R3227 3274 0 R /R1226 2246 0 R /R1227 2247 0 R /R1224 2248 0 R /R1225 2249 0 R /R1222 2250 0 R /R1223 2251 0 R /R596 2362 0 R /R1220 2252 0 R /R597 2363 0 R /R1221 2253 0 R /R594 2364 0 R /R595 2365 0 R /R592 2366 0 R /R2613 2557 0 R /R1068 2558 0 R /R1069 2559 0 R /R590 2368 0 R /R1060 2560 0 R 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0 R /R1649 2619 0 R /R299 2620 0 R /R298 2621 0 R /R773 2622 0 R /R291 2623 0 R /R290 2624 0 R /R293 2625 0 R /R292 2626 0 R /R295 2627 0 R /R294 2628 0 R /R297 2629 0 R /R296 2630 0 R /R1244 2631 0 R /R1245 2632 0 R /R1246 2633 0 R /R1247 2634 0 R /R1240 2635 0 R /R1241 2636 0 R /R1242 2637 0 R /R1243 2638 0 R /R2000 2217 0 R /R1248 2639 0 R /R1249 2640 0 R /R770 2641 0 R /R2979 2642 0 R /R771 2644 0 R /R2948 2645 0 R /R884 2227 0 R /R2949 2646 0 R /R2498 2308 0 R /R2499 2309 0 R /R1264 2647 0 R /R885 2228 0 R /R2348 2649 0 R /R2349 2650 0 R /R2344 2651 0 R /R2345 2652 0 R /R2346 2653 0 R /R2347 2654 0 R /R2340 2655 0 R /R2341 2656 0 R /R2342 2657 0 R /R2343 2658 0 R /R633 2659 0 R /R632 2660 0 R /R631 2661 0 R /R630 2662 0 R /R637 2663 0 R /R636 2664 0 R /R635 2665 0 R /R634 2666 0 R /R639 2667 0 R /R638 2668 0 R /R792 2669 0 R /R435 2879 0 R /R754 2670 0 R /R755 2671 0 R /R756 2672 0 R /R757 2673 0 R /R750 2674 0 R /R751 2675 0 R /R752 2676 0 R /R753 2677 0 R /R758 2678 0 R /R759 2679 0 R /R2978 2179 0 R /R3131 2680 0 R /R2748 2681 0 R /R2749 2682 0 R /R2298 2683 0 R /R2299 2684 0 R /R2292 2302 0 R /R2293 2303 0 R /R2290 2304 0 R /R2291 2305 0 R /R2296 2685 0 R /R2297 2686 0 R /R2294 2306 0 R /R2295 2307 0 R /R2542 2732 0 R /R823 2225 0 R /R3137 2688 0 R /R2016 2310 0 R /R3029 2689 0 R /R2017 2311 0 R /R2758 2859 0 R /R2546 2350 0 R /R2547 2351 0 R /R2124 2692 0 R /R2125 2693 0 R /R2126 2694 0 R /R2127 2695 0 R /R2120 2696 0 R /R2121 2326 0 R /R2122 2697 0 R /R2123 2698 0 R /R918 2699 0 R /R2545 2700 0 R /R2128 2701 0 R /R2129 2702 0 R /R2902 2703 0 R /R2903 2329 0 R /R2900 2704 0 R /R2901 2705 0 R /R2906 2706 0 R /R2907 2707 0 R /R2904 2708 0 R /R2905 2282 0 R /R2908 2709 0 R /R2909 2710 0 R /R2548 2353 0 R /R3010 2711 0 R /R2018 2314 0 R /R219 2462 0 R /R3016 2713 0 R /R1197 2201 0 R /R3237 3275 0 R /R3236 3276 0 R /R3235 3277 0 R /R3234 3278 0 R /R3233 3279 0 R /R3232 3280 0 R /R3231 3281 0 R /R3230 3282 0 R /R2786 2315 0 R /R3239 3283 0 R /R3238 3284 0 R 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(r) 18.0099 (egularization\054) -249.993 (and) -249.991 (vice) -250.012 (v) 9.99625 (ersa) ] TJ /R10 11.9552 Tf 6.21484 -37.8582 Td [ (Se) 15.0076 (yed\055Mohsen) -249.991 (Moosa) 19.9863 (vi\055Dezfooli) ] TJ /R12 7.9701 Tf 161.943 4.33906 Td [ <03> 114.699 (y) -0.19911 ] TJ /R14 8.9664 Tf -135.799 -18.2859 Td (seyed\056moosavi\100epfl\056ch) Tj /R10 11.9552 Tf 17.1438 -28.0063 Td [ (Jonathan) -249.993 (Uesato) ] TJ /R12 7.9701 Tf 78.6883 4.33906 Td [ (z) -0.19911 ] TJ /R14 8.9664 Tf -87.7633 -18.2859 Td (juesato\100google\056com) Tj /R10 11.9552 Tf 188.663 55.9 Td [ (Alhussein) -250.014 (F) 15.0137 (a) 14.9892 (wzi) ] TJ /R12 7.9701 Tf 79.668 4.33906 Td [ <03> 114.699 (z) -0.20217 ] TJ /R14 8.9664 Tf -83.9031 -18.2859 Td (afawzi\100google\056com) Tj /R10 11.9552 Tf 8.46484 -28.0063 Td [ (P) 15.0158 (ascal) -249.989 (Frossard) ] TJ /R12 7.9701 Tf 74.5281 4.33906 Td [ (y) -0.20217 ] TJ /R14 8.9664 Tf -99.132 -18.2859 Td (pascal\056frossard\100epfl\056ch) Tj /R8 11.9552 Tf -191 -41.0469 Td (Abstract) Tj /R16 9.9626 Tf -83.9281 -24.8262 Td [ (State\055of\055the\055art) -217.013 <636c61737369026572> 9.99343 (s) -217.016 (have) -216.002 (been) -216.981 (shown) -216.988 (to) -217.01 (be) -216.983 (lar) 36.9914 (g) 10.0032 (ely) ] TJ -11.9547 -11.9559 Td [ (vulner) 14.9926 (able) -209.991 (to) -209.992 (adver) 10.0057 (sarial) -210.007 (perturbations\056) -296.98 (One) -210.002 (of) -209.992 (the) -211.016 (most) -209.982 (ef\055) ] TJ 11.9551 TL T* [ (fective) -217.999 (str) 14.9975 (ate) 40.0013 (gies) -217.989 (to) -217.991 (impr) 44.9937 (o) 10.0032 (ve) -218.011 (r) 45.0182 (ob) 20.0065 (ustness) -218.01 (is) -217.991 (adver) 10.0057 (sarial) -218.005 (tr) 14.9901 (ain\055) ] TJ T* [ (ing) 14.995 (\056) -573 (In) -337.981 (this) -337.996 (paper) 111.018 (\054) -360.016 (we) -338.013 (in) 40.0056 (vestigate) -337.017 (the) -338.015 (ef) 18 (fect) -338.017 (of) -338.01 (adver) 10.0057 (sarial) ] TJ T* [ (tr) 14.9914 (aining) -216.988 (on) -217.993 (the) -217.015 (g) 10.0032 (eometry) -217.994 (of) -217.01 (the) -217.995 <636c6173736902636174696f6e> -217.005 (landscape) -218.013 (and) ] TJ T* [ (decision) -286.984 (boundaries\056) -420 (W) 91.9859 (e) -287.016 (show) -286.982 (in) -286.999 (particular) -287.001 (that) -286.986 (adver) 10.0057 (sar) 20.0138 (\055) ] TJ 11.9563 TL T* [ (ial) -280.992 (tr) 14.9914 (aining) -279.997 (leads) -280.994 (to) -281 (a) -279.988 <7369676e690263616e74> -281.003 (decr) 37.0159 (ease) -279.99 (in) -281 (the) -281.005 (curvatur) 36.9987 (e) ] TJ 11.9547 TL T* [ (of) -253.985 (the) -253.989 (loss) -252.992 (surface) -254.015 (with) -254.003 (r) 37.0196 (espect) -253.992 (to) -253.985 (inputs\054) -254 (leading) -254.007 (to) -253.985 (a) -253.992 (dr) 14.9901 (as\055) ] TJ T* [ (tically) -371.991 (mor) 36.9883 (e) -371.981 (\223linear\224) -372 (behaviour) -371.007 (of) -372.004 (the) -372.009 (network\056) -676.015 (Using) -371.989 (a) ] TJ T* [ (locally) -234.997 (quadr) 15.0036 (atic) -233.985 (appr) 44.9937 (oximation\054) -237.996 (we) -235.011 (pr) 46.0046 (o) 10.0032 (vide) -235.017 (theor) 36.9938 (etical) -235.002 (e) 15.0122 (v\055) ] TJ T* [ (idence) -331 (on) -330.994 (t) 0.98758 (he) -331.002 (e) 19.9918 (xistence) -330.995 (of) -330.991 (a) -330.999 (s) 0.98635 (tr) 44.9864 (ong) -330.989 (r) 37.0196 (elation) -331.011 (between) -330.986 (lar) 36.9914 (g) 10.0032 (e) ] TJ T* [ (r) 45.0182 (ob) 20.0065 (ustness) -244.987 (and) -245.983 (small) -244.99 (curvatur) 37 (e) 15.0122 (\056) -307.985 (T) 92 (o) -245.993 (further) -244.986 (show) -244.989 (the) -245.991 (impor) 19.9844 (\055) ] TJ 11.9563 TL T* [ (tance) -213.995 (of) -213.011 (r) 37.0196 (educed) -214.001 (curvatur) 37 (e) -212.989 (for) -213.985 (impr) 44.9937 (o) 10.0032 (ving) -213.011 (the) -213.996 (r) 45.017 (ob) 20.0065 (ustness\054) -220.988 (we) ] TJ 11.9551 TL T* [ (pr) 44.9839 (opose) -227.985 (a) -227.016 (ne) 15.0177 (w) -227.988 (r) 37.0196 (e) 39.9884 (gularizer) -227.017 (that) -228.016 (dir) 36.9926 (ectly) -227.02 (minimizes) -228.001 (curvatur) 36.9987 (e) ] TJ T* [ (of) -245.986 (the) -245.99 (loss) -246.013 (surface) 10.0192 (\054) -247.015 (and) -245.983 (leads) -246.019 (to) -245.986 (adver) 10.0057 (sarial) -246 (r) 45.017 (ob) 20.0065 (ustness) -246.006 (that) ] TJ T* [ (is) -320.992 (on) -322.015 (par) -320.989 (with) -321.992 (adver) 10.0057 (sarial) -321.008 (tr) 14.9914 (aining) 15.0122 (\056) -523.989 (Besides) -322.005 (being) -320.988 (a) -321.981 (mor) 36.9889 (e) ] TJ T* [ (ef) 18 <026369656e74> -298.993 (and) -298.994 (principled) -299.009 (alternative) -299.011 (to) -300.016 (adver) 10.0057 (sarial) -299.011 (tr) 14.9901 (aining) 9.99343 (\054) ] TJ T* [ (the) -253.009 (pr) 44.9839 (oposed) -252.995 (r) 37.0196 (e) 39.9884 (gularizer) -253.013 <636f6e02726d73> -252.991 (our) -253 (claims) -252.992 (on) -253.007 (the) -253.009 (impor) 19.9844 (\055) ] TJ 11.9559 TL T* [ (tance) -328.015 (of) -328.011 (e) 19.9924 (xhibiting) -328.019 (quasi\055linear) -328.011 (behavior) -328 (in) -328.011 (the) -328.016 (vicinity) -328.004 (of) ] TJ 11.9551 TL T* [ (data) -250.015 (points) -250.001 (in) -249.985 (or) 36.9852 (der) -249.99 (to) -249.985 (ac) 15.0183 (hie) 14.9852 (ve) -250.006 (r) 45.0182 (ob) 20.0065 (ustness\056) ] TJ /R8 11.9552 Tf 38.6148 TL T* [ (1\056) -249.99 (Intr) 18.0146 (oduction) ] TJ /R10 9.9626 Tf 11.9547 -19.8449 Td [ (Adv) 14.9908 (ersarial) -319.985 (training) -319.996 (has) -318.998 (recently) -320.016 (been) -319.983 (sho) 24.9934 (wn) -320.018 (to) -320.013 (be) -319.986 (one) ] TJ -11.9547 -11.9563 Td [ (of) -362.996 (the) -362.99 (most) -363.007 (successful) -363.018 (methods) -363.002 (for) -363 (increasing) -363.018 (the) -362.991 (rob) 20.004 (ust\055) ] TJ 11.9547 TL T* [ (ness) -384.001 (to) -384.002 (adv) 14.9834 (ersarial) -384.013 (perturbations) -384.016 (of) -384.013 (deep) -384.992 (neural) -384.009 (netw) 10.0081 (orks) ] TJ T* [ (\1339\054) -360.014 (17\054) -360.006 (16\135\056) -640.982 (This) -359.996 (approach) -360.015 (consists) -360.02 (in) -360.006 (training) -361.008 (the) -360.011 (classi\055) ] TJ T* [ <026572> -243.012 (on) ] TJ /R16 9.9626 Tf 28.0809 0 Td (perturbed) Tj /R10 9.9626 Tf 41.9801 0 Td [ (samples\054) -244.007 (with) -242.996 (the) -243.011 (aim) -243.004 (of) -241.996 (achie) 25.0154 (ving) -242.996 (higher) ] TJ -70.0609 -11.9551 Td [ (rob) 20.0034 (ustness) -357.007 (than) -356.987 (a) -357.984 (netw) 10.0094 (ork) -356.992 (trained) -356.987 (on) -356.989 (the) -358.011 (origi) 1.00228 (nal) -358.011 (training) ] TJ 11.9559 TL T* [ (set\056) -481.986 (Despite) -306.988 (the) -307 (importance) -308.001 (and) -307.001 (popularity) -307.008 (of) -307.005 (this) -308.003 (training) ] TJ 11.9551 TL T* [ (mechanism\054) -420.01 (the) -386.007 (ef) 25.0081 (fect) -385 (of) -386.013 (adv) 14.984 (ersarial) -386.013 (training) -385.985 (on) -386.004 (the) -386.007 (geo\055) ] TJ T* [ (metric) -314.011 (properties) -314.005 (of) -315.005 (the) -314.019 <636c61737369026572> -314.002 (\226) -313.982 (its) -314.005 (loss) -314.982 (landsc) 0.99493 (ape) -315.009 (with) ] TJ T* [ (respect) -196.005 (to) -197.014 (the) -195.999 (input) -196.997 (and) -196 (decision) -196.999 (boundaries) -196.019 (\226) -196.002 (is) -197.014 (not) -195.989 (well) -197.014 (un\055) ] TJ ET Q 3.98 w 0 G 501.121 1102.3 m 1446.11 1102.3 l S q 10 0 0 10 0 0 cm BT /R18 5.9776 Tf 1 0 0 1 60.141 103.628 Tm [ <03> -0.90058 ] TJ /R10 7.9701 Tf 4.3168 -2.81211 Td [ (The) -249.988 <02727374> -250.017 (tw) 10.0205 (o) -250.02 (authors) -250.017 (contrib) 19.9966 (uted) -250.019 (equally) -250.017 (to) -250.013 (this) -250.007 (w) 10.0136 (ork\056) ] TJ /R18 5.9776 Tf -3.92969 -7.2 Td [ (y) -0.10006 ] TJ /R10 7.9701 Tf 5.03789 -1.075 Td (\264) Tj -1.1082 -1.73789 Td [ (Ecole) -250.023 (Polytechnique) -249.979 (F) ] TJ 72.6113 0.03984 Td (\264) Tj -0.44219 -0.03984 Td (ed) Tj 7.96602 0.03984 Td (\264) Tj -0.4418 -0.03984 Td [ (erale) -250.011 (de) -250.013 (Lausanne) ] TJ /R18 5.9776 Tf -83.623 -6.99023 Td [ (z) -0.10006 ] TJ /R10 7.9701 Tf 3.92969 -2.81289 Td (DeepMind) Tj /R10 9.9626 Tf 244.404 459.262 Td [ (derstood\056) -309.997 (In) -249.995 (particular) 40.0056 (\054) -249.995 (ho) 24.986 (w) -249.993 (do) -251.007 (t) 0.98513 (he) -251.017 (decision) -250.012 (boundaries) -250.012 (and) ] TJ 11.9551 TL T* [ (loss) -278.988 (landscapes) -280.015 (of) -279.01 (adv) 14.9828 (ersarially) -280.017 (trained) -278.998 (models) -278.983 (compare) -279.988 (to) ] TJ T* [ (the) -249.99 (ones) -249.985 (trained) -249.985 (on) -249.988 (the) -249.99 (original) -250.007 (dataset\077) ] TJ 11.9551 -11.9551 Td [ (In) -301.006 (this) -300.984 (paper) 39.9909 (\054) -313.984 (we) -301.011 (analyze) -301.009 (such) -300.999 (properties) -300.989 (and) -301.984 (sho) 24.9909 (w) -301.004 (that) ] TJ -11.9551 -11.9547 Td [ (one) -315.001 (of) -315.004 (the) -314.019 (main) -314.987 (ef) 25.0081 (fects) -315.004 (of) -315.006 (adv) 14.9828 (ersarial) -313.987 (training) -315.016 (is) -314.992 (to) -314.996 (induce) ] TJ T* [ (a) -321.01 <7369676e690263616e74> ] TJ /R16 9.9626 Tf 52.3367 0 Td [ (decr) 37.0159 (ease) ] TJ /R10 9.9626 Tf 38.2383 0 Td [ (in) -320.993 (the) -320.995 (curv) 25.0154 (ature) -321.985 (of) -321.005 (the) -320.995 (loss) -320.981 (function) ] TJ -90.575 -11.9559 Td [ (and) -204 (decision) -204.998 (boundaries) -204.017 (of) -204.985 (the) -203.995 <636c61737369026572> 54.9957 (\056) -295.005 (More) -205.015 (than) -203.99 (that\054) -213.984 (we) ] TJ T* [ (sho) 24.9934 (w) -241.016 (that) -239.984 (such) -241.006 (a) -240.004 (geometric) -240.999 (implication) -241.004 (of) -240 (adv) 14.9828 (ersarial) -241.019 (train\055) ] TJ T* [ (ing) -229.984 (allo) 24.9909 (ws) -229.991 (us) -229.989 (to) -229.008 (e) 15.0122 (xplain) -230.016 (the) -229.991 (high) -230.016 (rob) 20.0016 (ustness) -230.011 (of) -230 (adv) 14.9828 (ersarially) ] TJ T* [ (trained) -290.018 (models\056) -432.011 (T) 79.9916 (o) -291.005 (support) -290 (this) -290.986 (claim\054) -300.009 (we) -291.01 (follo) 24.9958 (w) -289.986 (a) ] TJ /R16 9.9626 Tf 207.478 0 Td (synthe\055) Tj -207.478 -11.9551 Td (sis) Tj /R10 9.9626 Tf 14.1238 0 Td [ (approach\054) -390.006 (where) -361.003 (a) -361.984 (ne) 25.0154 (w) -362.013 (re) 15.0073 (gularization) -361.003 (strate) 14.9877 (gy) 65.0186 (\054) -390.008 (Curv) 24.9958 (a\055) ] TJ -14.1238 -11.9559 Td [ (ture) -368.012 (Re) 14.9877 (gularization) -369.005 (\050CURE\051\054) -367.988 (encouraging) -367.997 (small) -369.007 (curv) 25.0154 (ature) ] TJ T* [ (is) -259.984 (proposed) -260.991 (and) -259.991 (sho) 24.9934 (wn) -259.988 (to) -261.005 (achie) 25.0154 (v) 14.9828 (e) -260 (rob) 20.0016 (ustness) -260.006 (le) 25.0203 (v) 14.9828 (els) -259.986 (that) -261 (are) ] TJ T* [ (comparable) -318.011 (to) -318.993 (that) -318.011 (of) -319.003 (adv) 14.9828 (ersarial) -317.986 (training\056) -514.983 (This) -318.981 (highlights) ] TJ T* [ (the) -259.988 (importance) -260.011 (of) -259.993 (small) -260.006 (curv) 25.0154 (ature) -259.996 (for) -261.015 (impro) 15.0024 (v) 14.9828 (ed) -259.996 (rob) 20.0016 (ustness\056) ] TJ T* [ (In) -194.985 (more) -193.997 (detail\054) -205.985 (our) -194 (contrib) 20.0163 (utions) -194.992 (are) -194.997 (summarized) -194.017 (as) -194.987 (follo) 24.9958 (ws\072) ] TJ /R20 9.9626 Tf 9.96289 -18.7191 Td <0f> Tj /R10 9.9626 Tf 9.96211 0 Td [ (W) 79.9866 (e) -287.996 (empirically) -287.996 (sho) 24.9934 (w) -287.006 (that) -288.016 (adv) 14.9828 (ersarial) -287.991 (training) -288 (induces) ] TJ T* [ (a) -293.015 <7369676e690263616e74> ] TJ /R16 9.9626 Tf 51.7828 0 Td [ (decr) 37.0159 (ease) -293.01 (in) -294.02 (the) -293 (curvatur) 36.9987 (e) ] TJ /R10 9.9626 Tf 105.019 0 Td [ (of) -293.01 (the) -293.98 (decision) ] TJ -156.802 -11.9551 Td [ (boundary) -250.015 (and) -249.993 (loss) -250.012 (landscape) ] TJ /R16 9.9626 Tf 116.761 0 Td [ (in) -249.988 (the) -249.988 (input) -250.007 (space) ] TJ /R10 9.9626 Tf 70.5648 0 Td (\056) Tj /R20 9.9626 Tf -197.288 -13.6531 Td <0f> Tj /R10 9.9626 Tf 9.96211 0 Td [ (Using) -304.981 (a) -303.993 (quadratic) -304.996 (approximation) -304.993 (of) -303.988 (the) -304.998 (loss) -304.983 (function\054) ] TJ T* [ (we) -220.005 (establish) -220.007 (upper) -221.015 (and) -219.998 (lo) 24.986 (wer) -220.007 (bounds) -220.012 (on) -221.012 (the) -219.993 (rob) 20.0016 (ustness) ] TJ T* [ (to) -306.995 (adv) 14.9828 (ersarial) -307.008 (perturbations) -305.988 (with) -306.983 (respect) -307.008 (to) -306.998 (the) -306.998 (curv) 25.0154 (a\055) ] TJ T* [ (ture) -231.015 (of) -229.998 (the) -231.013 (loss\056) -302.981 (These) -231.015 (bounds) -230.991 <636f6e02726d> -230.011 (the) -231.01 (e) 15.0122 (xistence) -231 (of) ] TJ T* [ (a) -238.985 (relation) -240.019 (between) -239.012 (lo) 24.986 (w) -239.994 (curv) 25.0154 (ature) -239.019 (and) -239.994 (high) -238.994 (rob) 20.0016 (ustness\056) ] TJ /R20 9.9626 Tf -9.96211 -13.6531 Td <0f> Tj /R10 9.9626 Tf 9.96211 0 Td [ (Inspired) -417.992 (by) -419.018 (the) -418.001 (implications) -417.989 (of) -418.009 (adv) 14.9828 (ersarially) -419.013 (trained) ] TJ T* [ (netw) 10.0081 (orks) -263.003 (on) -261.986 (the) -263.008 (curv) 25.0154 (ature) -263.015 (of) -261.995 (the) -263.005 (loss) -262.01 (function) -262.99 (and) -263.01 (our) ] TJ T* [ (theoretical) -252.019 (bounds\054) -252.002 (we) -251.017 (propose) -252.017 (an) -251.017 (ef) 25.0056 <026369656e74> -252.012 (re) 15.0073 (gularizer) ] TJ T* [ (that) -217.008 (encourages) -217.018 (small) -216.013 (curv) 25.0154 (atures\056) -299 (On) -217.013 (standard) -217.008 (datasets) ] TJ T* [ (\050CIF) 74.0097 (AR\05510) -397.99 (and) -398.987 (S) 0.99493 (VHN\051\054) -398.982 (we) -398.012 (sho) 24.9909 (w) -398.007 (that) -397.997 (the) -398.982 (proposed) ] TJ 11.9559 TL T* [ (re) 15.0098 (gularizer) -364.993 (leads) -364.988 (to) -364.986 (a) -363.983 <7369676e690263616e74> -364.988 (boost) -365.008 (of) -364.998 (the) -364.988 (rob) 20.0016 (ust\055) ] TJ 11.9551 TL T* [ (ness) -306.015 (of) -305.005 (neural) -305.983 (netw) 10.0081 (orks\054) -318.991 (comparable) -306.013 (to) -306.018 (t) 0.98513 (hat) -306.018 (of) -305.988 (adv) 14.9828 (er) 19.9869 (\055) ] TJ T* [ (sarial) -249.99 (training\056) ] TJ -19.925 -18.718 Td [ (The) -330.999 (latter) -332.013 (step) -330.989 (sho) 24.9934 (ws) -330.994 (that) -330.989 (the) -332.013 (proposed) -331.018 (re) 15.0073 (gularizer) -330.999 (can) -331.989 (be) ] TJ 11.9559 TL T* [ (seen) -333 (as) -331.981 (a) -333.008 (more) -332.013 (ef) 25.0081 <026369656e74> -333.018 (alternati) 24.9958 (v) 14.9828 (e) -333.008 (to) -332.013 (adv) 14.9828 (ersarial) -333.003 (training\056) ] TJ 11.9551 TL T* [ (More) -430 (importantly) 64.9843 (\054) -475.016 (it) -431.011 (sho) 24.9909 (ws) -429.997 (that) -429.992 (the) -429.997 (ef) 25.0056 (fect) -430.012 (of) -430.987 (adv) 14.9828 (ersarial) ] TJ T* [ (training) -202.996 (on) -203.015 (the) -203.018 (curv) 25.0179 (ature) -202.986 (reduction) -203 (is) -203.01 (not) -203.005 (a) -202.991 (mere) -202.986 (by\055product\054) ] TJ T* [ (b) 20.0016 (ut) -314.014 (rather) -313.989 (a) -315.011 (dri) 24.986 (ving) -314.004 (ef) 25.0081 (fect) -313.992 (that) -314.011 (causes) -313.982 (the) -314.016 (rob) 20.0016 (ustness) -315.016 (to) -314.016 (in\055) ] TJ T* [ (crease\056) -506.006 (W) 79.9866 (e) -315.991 (stress) -314.989 (here) -315.994 (that) -314.992 (the) -316.016 (ma) 0.99003 (in) -316.016 (focus) -314.996 (of) -315.986 (this) -314.982 (paper) -315.986 (is) ] TJ ET Q Q Q q 1 0 0 -1 0 792 cm q 1 1 1 rg /a0 gs 48.406 3.066 515.188 33.723 re f 0.44706 0.57647 0.77255 rg /a1 gs 77.262 5.789 m 71.715 5.789 67.215 10.68 67.215 16.707 c 67.215 22.738 71.715 27.625 77.262 27.625 c 78.852 27.625 80.355 27.223 81.691 26.508 c 79.777 22.742 l 79.008 23.121 78.16 23.332 77.262 23.332 c 73.895 23.332 71.164 20.363 71.164 16.707 c 71.164 13.051 73.895 10.082 77.262 10.082 c 78.598 10.082 79.828 10.555 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