text stringlengths 47 4.49k | keywords stringlengths 17 154 | __index_level_0__ int64 0 50k | tokens sequencelengths 8 656 | tags sequencelengths 8 656 | input_ids sequencelengths 128 128 | token_type_ids sequencelengths 128 128 | attention_mask sequencelengths 128 128 | labels sequencelengths 128 128 |
|---|---|---|---|---|---|---|---|---|
"A Petri net is structurally cyclic if every configuration is reachable from itself in one or more steps. We show that structural cyclicity is decidable in deterministic polynomial time. For this, we adapt the Kosaraju's approach for the general reachability problem for Petri nets. " | Petri net, structural cyclicity, reachability problem | 30,836 | [
"\"A",
"Petri",
"net",
"is",
"structurally",
"cyclic",
"if",
"every",
"configuration",
"is",
"reachable",
"from",
"itself",
"in",
"one",
"or",
"more",
"steps.",
"We",
"show",
"that",
"structural",
"cyclicity",
"is",
"decidable",
"in",
"deterministic",
"polynomia... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1037,
9004,
3089,
5658,
2003,
29060,
23750,
2065,
2296,
9563,
2003,
3362,
3085,
2013,
2993,
1999,
2028,
2030,
2062,
4084,
1012,
2057,
2265,
2008,
8332,
23750,
3012,
2003,
11703,
8524,
3468,
1999,
28283,
25300,
10074,
17505,
2051,... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Let $X\subset Y$ be smooth, projective manifolds. Assume that $X$ is the zero locus of a generic section of a direct sum $V+$ of positive line bundles on $\PP^n$. Furthermore assume that the normal bundle $N_{X/Y}$ is a direct sum $V-$ of negative line bundles. We show that a $V:=V+\oplus V-$-twisted Gromov-Witten the... | projective manifolds, Gromov-Witten theory, Mirror Theorem | 32,428 | [
"\"Let",
"$X\\subset",
"Y$",
"be",
"smooth,",
"projective",
"manifolds.",
"Assume",
"that",
"$X$",
"is",
"the",
"zero",
"locus",
"of",
"a",
"generic",
"section",
"of",
"a",
"direct",
"sum",
"$V+$",
"of",
"positive",
"line",
"bundles",
"on",
"$\\PP^n$.",
"Fur... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2292,
1002,
1060,
1032,
16745,
1061,
1002,
2022,
5744,
1010,
27473,
19726,
2015,
1012,
7868,
2008,
1002,
1060,
1002,
2003,
1996,
5717,
25206,
1997,
1037,
12391,
2930,
1997,
1037,
3622,
7680,
1002,
1058,
1009,
1002,
1997,
3893,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper we study ergodic backward stochastic differential equations (EBSDEs) dropping the strong dissipativity assumption needed in the previous work. In other words we do not need to require the uniform exponential decay of the difference of two solutions of the underlying forward equation, which, on the contra... | Ergodic backward stochastic differential equations, EBSDEs, Markovian solutions | 7,346 | [
"\"In",
"this",
"paper",
"we",
"study",
"ergodic",
"backward",
"stochastic",
"differential",
"equations",
"(EBSDEs)",
"dropping",
"the",
"strong",
"dissipativity",
"assumption",
"needed",
"in",
"the",
"previous",
"work.",
"In",
"other",
"words",
"we",
"do",
"not",... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
2057,
2817,
9413,
3995,
14808,
8848,
2358,
11663,
20875,
11658,
11380,
1006,
1041,
5910,
6155,
1007,
7510,
1996,
2844,
4487,
18719,
24952,
24872,
11213,
2734,
1999,
1996,
3025,
2147,
1012,
1999,
2060,
2616,
2057... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Recent developments in the 3D scanning technologies have made the generation of highly accurate 3D point clouds relatively easy but the segmentation of these point clouds remains a challenging area. A number of techniques have set precedent of either planar or primitive based segmentation in literature. In this work, ... | 3D scanning technologies, point cloud segmentation, HollowNets | 16,882 | [
"\"Recent",
"developments",
"in",
"the",
"3D",
"scanning",
"technologies",
"have",
"made",
"the",
"generation",
"of",
"highly",
"accurate",
"3D",
"point",
"clouds",
"relatively",
"easy",
"but",
"the",
"segmentation",
"of",
"these",
"point",
"clouds",
"remains",
... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
3522,
8973,
1999,
1996,
7605,
13722,
6786,
2031,
2081,
1996,
4245,
1997,
3811,
8321,
7605,
2391,
8044,
4659,
3733,
2021,
1996,
6903,
3370,
1997,
2122,
2391,
8044,
3464,
1037,
10368,
2181,
1012,
1037,
2193,
1997,
5461,
2031,
227... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Consider a truncated circular unitary matrix which is a $p_n$ by $p_n$ submatrix of an $n$ by $n$ circular unitary matrix by deleting the last $n-p_n$ columns and rows. Jiang and Qi (2017) proved that the maximum absolute value of the eigenvalues (known as spectral radius) of the truncated matrix, after properly norma... | tribal unitary matrix, spectral radius, Gumbel distribution | 22,444 | [
"\"Consider",
"a",
"truncated",
"circular",
"unitary",
"matrix",
"which",
"is",
"a",
"$p_n$",
"by",
"$p_n$",
"submatrix",
"of",
"an",
"$n$",
"by",
"$n$",
"circular",
"unitary",
"matrix",
"by",
"deleting",
"the",
"last",
"$n-p_n$",
"columns",
"and",
"rows.",
... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
5136,
1037,
25449,
8206,
22127,
8185,
2029,
2003,
1037,
1002,
1052,
1035,
1050,
1002,
2011,
1002,
1052,
1035,
1050,
1002,
4942,
18900,
17682,
1997,
2019,
1002,
1050,
1002,
2011,
1002,
1050,
1002,
8206,
22127,
8185,
2011,
3972,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Randomization is a fundamental tool used in many theoretical and practical areas of computer science. We study here the role of randomization in the area of submodular function maximization. In this area most algorithms are randomized, and in almost all cases the approximation ratios obtained by current randomized alg... | Randomization, Derandomization, Submodular function maximization | 2,289 | [
"\"Randomization",
"is",
"a",
"fundamental",
"tool",
"used",
"in",
"many",
"theoretical",
"and",
"practical",
"areas",
"of",
"computer",
"science.",
"We",
"study",
"here",
"the",
"role",
"of",
"randomization",
"in",
"the",
"area",
"of",
"submodular",
"function",... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
6721,
3989,
2003,
1037,
8050,
6994,
2109,
1999,
2116,
9373,
1998,
6742,
2752,
1997,
3274,
2671,
1012,
2057,
2817,
2182,
1996,
2535,
1997,
6721,
3989,
1999,
1996,
2181,
1997,
4942,
5302,
8566,
8017,
3853,
20446,
3989,
1012,
1999... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Photonic chips that integrate guides, switches, gratings and other components, process vast amounts of information rapidly on a single device. A new branch of this technology becomes possible if the light is coupled to cold atoms in a junction of small enough cross section, so that small numbers of photons interact ap... | Photonic chips, information processing, cold atoms | 26,158 | [
"\"Photonic",
"chips",
"that",
"integrate",
"guides,",
"switches,",
"gratings",
"and",
"other",
"components,",
"process",
"vast",
"amounts",
"of",
"information",
"rapidly",
"on",
"a",
"single",
"device.",
"A",
"new",
"branch",
"of",
"this",
"technology",
"becomes"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
26383,
2594,
11772,
2008,
17409,
12468,
1010,
15924,
1010,
24665,
5844,
2015,
1998,
2060,
6177,
1010,
2832,
6565,
8310,
1997,
2592,
5901,
2006,
1037,
2309,
5080,
1012,
1037,
2047,
3589,
1997,
2023,
2974,
4150,
2825,
2065,
1996,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper, we introduce the zero divisor graph of a multiplicative lattice. We provide a counter example to Beck's conjecture for multiplicative lattices. Further, we prove that Beck's conjecture is true for reduced multiplicative lattice which extends the result of Behboodi and Rakeei[7], and Aalipour et. al.[1].... | Beck's conjecture, multiplicative lattices, reduced lattice | 20,491 | [
"\"In",
"this",
"paper,",
"we",
"introduce",
"the",
"zero",
"divisor",
"graph",
"of",
"a",
"multiplicative",
"lattice.",
"We",
"provide",
"a",
"counter",
"example",
"to",
"Beck's",
"conjecture",
"for",
"multiplicative",
"lattices.",
"Further,",
"we",
"prove",
"t... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
1010,
2057,
8970,
1996,
5717,
4487,
11365,
2953,
10629,
1997,
1037,
4800,
24759,
25184,
17779,
1012,
2057,
3073,
1037,
4675,
2742,
2000,
10272,
1005,
1055,
22647,
2005,
4800,
24759,
25184,
17779,
2015,
1012,
258... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound clusters or molecules that consist of more than two particles. Here we present a det... | Fermionic superfluid, multi-component gas, quantum superconductor | 30,688 | [
"\"Recent",
"advances",
"in",
"ultra-cold",
"atomic",
"Fermi",
"gases",
"make",
"it",
"possible",
"to",
"achieve",
"a",
"fermionic",
"superfluid",
"with",
"multiple",
"spin",
"components.",
"In",
"this",
"context,",
"any",
"mean-field",
"description",
"is",
"expec... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
3522,
9849,
1999,
11087,
1011,
3147,
9593,
10768,
28550,
15865,
2191,
2009,
2825,
2000,
6162,
1037,
10768,
28550,
12356,
3565,
10258,
21272,
2007,
3674,
6714,
6177,
1012,
1999,
2023,
6123,
1010,
2151,
2812,
1011,
2492,
6412,
2003... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Recently presented explicit formulae for asymptotic expansions of Feynman diagrams in the Sudakov limit are applied to typical two-loop diagrams. For a diagram with one non-zero mass these formulae provide an algorithm for analytical calculation of all powers and logarithms, i.e. coefficients in the corresponding expa... | Feynman diagrams, Sudakov limit, analytical calculation | 48,118 | [
"\"Recently",
"presented",
"explicit",
"formulae",
"for",
"asymptotic",
"expansions",
"of",
"Feynman",
"diagrams",
"in",
"the",
"Sudakov",
"limit",
"are",
"applied",
"to",
"typical",
"two-loop",
"diagrams.",
"For",
"a",
"diagram",
"with",
"one",
"non-zero",
"mass"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
3728,
3591,
13216,
5675,
2063,
2005,
2004,
24335,
13876,
20214,
4935,
2015,
1997,
23864,
2078,
2386,
26309,
1999,
1996,
19219,
20411,
2615,
5787,
2024,
4162,
2000,
5171,
2048,
1011,
7077,
26309,
1012,
2005,
1037,
16403,
2007,
202... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper, we study the probability that a dense network confined within a given geometry is fully connected. We employ a cluster expansion approach often used in statistical physics to analyze the effects that the boundaries of the geometry have on connectivity. To maximize practicality and applicability, we adop... | connectivity, point-to-point link models, boundary effects | 8,513 | [
"\"In",
"this",
"paper,",
"we",
"study",
"the",
"probability",
"that",
"a",
"dense",
"network",
"confined",
"within",
"a",
"given",
"geometry",
"is",
"fully",
"connected.",
"We",
"employ",
"a",
"cluster",
"expansion",
"approach",
"often",
"used",
"in",
"statis... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
1010,
2057,
2817,
1996,
9723,
2008,
1037,
9742,
2897,
12302,
2306,
1037,
2445,
10988,
2003,
3929,
4198,
1012,
2057,
12666,
1037,
9324,
4935,
3921,
2411,
2109,
1999,
7778,
5584,
2000,
17908,
1996,
3896,
2008,
1... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Coronal X-ray sources (CXSs) are phenomenon very often occurring in solar flares regardless of a flare size, duration or power. The nature of the sources was difficult to uncover for many years. It seems that at last, combining data from RHESSI and SDO/AIA, there is a unprecedented possibility to 'look inside' CXSs an... | Coronal X-ray sources, solar flares, magnetic reconnection | 3,272 | [
"\"Coronal",
"X-ray",
"sources",
"(CXSs)",
"are",
"phenomenon",
"very",
"often",
"occurring",
"in",
"solar",
"flares",
"regardless",
"of",
"a",
"flare",
"size,",
"duration",
"or",
"power.",
"The",
"nature",
"of",
"the",
"sources",
"was",
"difficult",
"to",
"un... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
21887,
2140,
1060,
1011,
4097,
4216,
1006,
1039,
2595,
4757,
1007,
2024,
9575,
2200,
2411,
10066,
1999,
5943,
17748,
2015,
7539,
1997,
1037,
17748,
2946,
1010,
9367,
2030,
2373,
1012,
1996,
3267,
1997,
1996,
4216,
2001,
3697,
2... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The red spectral shape of the visible to near infrared reflectance spectrum of the sharply-edged ring-like disk around the young main sequence star HR 4796A was recently interpreted as the presence of tholin-like complex organic materials which are seen in the atmosphere and surface of Titan and the surfaces of icy bo... | cosmic dust, organic materials, reflectance spectrum | 1,095 | [
"\"The",
"red",
"spectral",
"shape",
"of",
"the",
"visible",
"to",
"near",
"infrared",
"reflectance",
"spectrum",
"of",
"the",
"sharply-edged",
"ring-like",
"disk",
"around",
"the",
"young",
"main",
"sequence",
"star",
"HR",
"4796A",
"was",
"recently",
"interpre... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
2417,
17435,
4338,
1997,
1996,
5710,
2000,
2379,
14611,
8339,
6651,
8674,
1997,
1996,
9249,
1011,
13011,
3614,
1011,
2066,
9785,
2105,
1996,
2402,
2364,
5537,
2732,
17850,
4700,
2683,
2575,
2050,
2001,
3728,
10009,
2004,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"A study of the magnetic properties of the frustrated rare earth oxide SrGd2O4 has been completed using bulk property measurements of magnetization, susceptibility and specific heat on single crystal samples. Two zero-field phase transitions have been identified at 2.73 and 0.48 K. For the field, H, applied along the a... | SrGd2O4, magnetic properties, dipolar interactions | 49,665 | [
"\"A",
"study",
"of",
"the",
"magnetic",
"properties",
"of",
"the",
"frustrated",
"rare",
"earth",
"oxide",
"SrGd2O4",
"has",
"been",
"completed",
"using",
"bulk",
"property",
"measurements",
"of",
"magnetization,",
"susceptibility",
"and",
"specific",
"heat",
"on... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1037,
2817,
1997,
1996,
8060,
5144,
1997,
1996,
10206,
4678,
3011,
15772,
5034,
2290,
2094,
2475,
2080,
2549,
2038,
2042,
2949,
2478,
9625,
3200,
11702,
1997,
16853,
3989,
1010,
10514,
11020,
23606,
13464,
1998,
3563,
3684,
2006,... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"This article concerns the number of nodal domains of eigenfunctions of the Laplacian on special Riemannian $3$-manifolds, namely nontrivial principal $S^1$ bundles $P \to X$ over Riemann surfaces equipped with certain $S^1$ invariant metrics, the Kaluza-Klein metrics. We prove for generic Kaluza-Klein metrics that any... | Laplacian eigenfunctions, nodal domains, invariant metrics | 27,283 | [
"\"This",
"article",
"concerns",
"the",
"number",
"of",
"nodal",
"domains",
"of",
"eigenfunctions",
"of",
"the",
"Laplacian",
"on",
"special",
"Riemannian",
"$3$-manifolds,",
"namely",
"nontrivial",
"principal",
"$S^1$",
"bundles",
"$P",
"\\to",
"X$",
"over",
"Rie... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2023,
3720,
5936,
1996,
2193,
1997,
7293,
2389,
13100,
1997,
1041,
29206,
11263,
27989,
2015,
1997,
1996,
5001,
2721,
14483,
2006,
2569,
15544,
17545,
2937,
1002,
1017,
1002,
1011,
19726,
2015,
1010,
8419,
2512,
18886,
18660,
405... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The recently discovered subdwarf B (sdB) pulsator KIC11558725 features a rich g-mode frequency spectrum, with a few low-amplitude p-modes at short periods, and is a promising target for a seismic study aiming to constrain the internal structure of this star, and of sdB stars in general. We have obtained ground-based s... | subdwarf pulsator, seismic study, atmospheric parameters | 6,058 | [
"\"The",
"recently",
"discovered",
"subdwarf",
"B",
"(sdB)",
"pulsator",
"KIC11558725",
"features",
"a",
"rich",
"g-mode",
"frequency",
"spectrum,",
"with",
"a",
"few",
"low-amplitude",
"p-modes",
"at",
"short",
"periods,",
"and",
"is",
"a",
"promising",
"target",... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
3728,
3603,
4942,
2094,
9028,
2546,
1038,
1006,
17371,
2497,
1007,
16405,
4877,
8844,
11382,
2278,
14526,
24087,
2620,
2581,
17788,
2838,
1037,
4138,
1043,
1011,
5549,
6075,
8674,
1010,
2007,
1037,
2261,
2659,
1011,
22261,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"This is the Proceedings of the 2018 ICML Workshop on Human Interpretability in Machine Learning (WHI 2018), which was held in Stockholm, Sweden, July 14, 2018. Invited speakers were Barbara Engelhardt, Cynthia Rudin, Fernanda Vi\'egas, and Martin Wattenberg. " | ICML Workshop, Human Interpretability, Machine Learning | 13,245 | [
"\"This",
"is",
"the",
"Proceedings",
"of",
"the",
"2018",
"ICML",
"Workshop",
"on",
"Human",
"Interpretability",
"in",
"Machine",
"Learning",
"(WHI",
"2018),",
"which",
"was",
"held",
"in",
"Stockholm,",
"Sweden,",
"July",
"14,",
"2018.",
"Invited",
"speakers",... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2023,
2003,
1996,
8931,
1997,
1996,
2760,
24582,
19968,
8395,
2006,
2529,
17841,
8010,
1999,
3698,
4083,
1006,
1059,
4048,
2760,
1007,
1010,
2029,
2001,
2218,
1999,
8947,
1010,
4701,
1010,
2251,
2403,
1010,
2760,
1012,
4778,
74... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper we study the two disks capacitor, for equal and different radii. The new results obtained allow a complete characterization of capacity coefficients and forces at short distances. An extensive numerical calculation confirms the theoretical results. The study shows the existence of a hierarchy in the dive... | capacitance coefficients, forces, near-contact zone | 61 | [
"\"In",
"this",
"paper",
"we",
"study",
"the",
"two",
"disks",
"capacitor,",
"for",
"equal",
"and",
"different",
"radii.",
"The",
"new",
"results",
"obtained",
"allow",
"a",
"complete",
"characterization",
"of",
"capacity",
"coefficients",
"and",
"forces",
"at",... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
2057,
2817,
1996,
2048,
23999,
6178,
6305,
15660,
1010,
2005,
5020,
1998,
2367,
10958,
4305,
2072,
1012,
1996,
2047,
3463,
4663,
3499,
1037,
3143,
23191,
1997,
3977,
21374,
1998,
2749,
2012,
2460,
12103,
1012,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The Prisoner's Dilemma (PD) deals with the cooperation/defection conflict between two agents. The agents are represented by a cell of $L \times L$ square lattice. The agents are initially randomly distributed according to a certain proportion $\rho_c(0)$ of cooperators. Each agent does not have memory of previous beha... | Prisoner's Dilemma, cooperation/defection conflict, intra-group interaction | 37,170 | [
"\"The",
"Prisoner's",
"Dilemma",
"(PD)",
"deals",
"with",
"the",
"cooperation/defection",
"conflict",
"between",
"two",
"agents.",
"The",
"agents",
"are",
"represented",
"by",
"a",
"cell",
"of",
"$L",
"\\times",
"L$",
"square",
"lattice.",
"The",
"agents",
"are... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
7267,
1005,
1055,
21883,
1006,
22851,
1007,
9144,
2007,
1996,
6792,
1013,
21262,
3258,
4736,
2090,
2048,
6074,
1012,
1996,
6074,
2024,
3421,
2011,
1037,
3526,
1997,
1002,
1048,
1032,
2335,
1048,
1002,
2675,
17779,
1012,
1... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper, we report the results of measurements of the intensities and delays of super-radiance decays from excited helium atoms at multiple wavelengths. The experiment was performed using extreme ultraviolet radiation produced by the free electron laser at the SPring-8 Compact SASE Source test accelerator facili... | super-radiance, helium atoms, measurement results | 5,485 | [
"\"In",
"this",
"paper,",
"we",
"report",
"the",
"results",
"of",
"measurements",
"of",
"the",
"intensities",
"and",
"delays",
"of",
"super-radiance",
"decays",
"from",
"excited",
"helium",
"atoms",
"at",
"multiple",
"wavelengths.",
"The",
"experiment",
"was",
"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
1010,
2057,
3189,
1996,
3463,
1997,
11702,
1997,
1996,
20014,
6132,
6447,
1998,
14350,
1997,
3565,
1011,
10958,
11692,
3401,
13121,
2015,
2013,
7568,
22764,
13353,
2012,
3674,
29263,
1012,
1996,
7551,
2001,
2864... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The eigenvectors of an ergodic semigroup of linear normal positive unital maps on a von Neumann algebra are described. Moreover, it is shown by means of examples, that mere positivity of the maps in question is not sufficient for Frobenius theory as in S. Albeverio and R. H{\o}egh-Krohn, \emph{Frobenius theory of posi... | Ergodic semigroup, linear normal, positive unital maps | 16,152 | [
"\"The",
"eigenvectors",
"of",
"an",
"ergodic",
"semigroup",
"of",
"linear",
"normal",
"positive",
"unital",
"maps",
"on",
"a",
"von",
"Neumann",
"algebra",
"are",
"described.",
"Moreover,",
"it",
"is",
"shown",
"by",
"means",
"of",
"examples,",
"that",
"mere"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
1041,
29206,
3726,
24817,
1997,
2019,
9413,
3995,
14808,
4100,
17058,
1997,
7399,
3671,
3893,
3131,
2389,
7341,
2006,
1037,
3854,
22860,
11208,
2024,
2649,
1012,
9308,
1010,
2009,
2003,
3491,
2011,
2965,
1997,
4973,
1010,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The Small Magellanic Cloud (SMC) hosts a large number of Be/X-ray binaries, however no Be/white dwarf system is known so far, although population synthesis calculations predict that they might be more frequent than Be/neutron star systems. XMMUJ010147.5-715550 was found as a new faint super-soft X-ray source (SSS) wit... | Small Magellanic Cloud, Be/X-ray binaries, optical counterpart | 23,140 | [
"\"The",
"Small",
"Magellanic",
"Cloud",
"(SMC)",
"hosts",
"a",
"large",
"number",
"of",
"Be/X-ray",
"binaries,",
"however",
"no",
"Be/white",
"dwarf",
"system",
"is",
"known",
"so",
"far,",
"although",
"population",
"synthesis",
"calculations",
"predict",
"that",... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
2235,
17454,
19036,
2594,
6112,
1006,
15488,
2278,
1007,
6184,
1037,
2312,
2193,
1997,
2022,
1013,
1060,
1011,
4097,
8026,
12086,
1010,
2174,
2053,
2022,
1013,
2317,
11229,
2291,
2003,
2124,
2061,
2521,
1010,
2348,
2313,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Suppose that a sequence of numbers $x_n$ (a `signal') is transmitted through a noisy channel. The receiver observes a noisy version of the signal with additive random fluctuations, $x_n + \xi_n$, where $\xi_n$ is a sequence of independent standard Gaussian random variables. Suppose further that the signal is known to ... | signal space, recovery and detection, Gaussian random fluctuations | 19,852 | [
"\"Suppose",
"that",
"a",
"sequence",
"of",
"numbers",
"$x_n$",
"(a",
"`signal')",
"is",
"transmitted",
"through",
"a",
"noisy",
"channel.",
"The",
"receiver",
"observes",
"a",
"noisy",
"version",
"of",
"the",
"signal",
"with",
"additive",
"random",
"fluctuation... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
6814,
2008,
1037,
5537,
1997,
3616,
1002,
1060,
1035,
1050,
1002,
1006,
1037,
1036,
4742,
1005,
1007,
2003,
11860,
2083,
1037,
20810,
3149,
1012,
1996,
8393,
24451,
1037,
20810,
2544,
1997,
1996,
4742,
2007,
29167,
6721,
28892,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Among stars in Galactic globular clusters the carbon abundance tends to decrease with increasing luminosity on the upper red giant branch, particularly within the lowest metallicity clusters. While such a phenomena is not predicted by canonical models of stellar interiors and evolution, it is widely held to be the res... | Galactic globular clusters, carbon depletion rate, red giant branch evolution | 38,277 | [
"\"Among",
"stars",
"in",
"Galactic",
"globular",
"clusters",
"the",
"carbon",
"abundance",
"tends",
"to",
"decrease",
"with",
"increasing",
"luminosity",
"on",
"the",
"upper",
"red",
"giant",
"branch,",
"particularly",
"within",
"the",
"lowest",
"metallicity",
"c... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2426,
3340,
1999,
21375,
1043,
4135,
28808,
12906,
1996,
6351,
14531,
12102,
2000,
9885,
2007,
4852,
11320,
10020,
25949,
2006,
1996,
3356,
2417,
5016,
3589,
1010,
3391,
2306,
1996,
7290,
12392,
3012,
12906,
1012,
2096,
2107,
103... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper, we classify four-dimensional Jordan algebras over an algebraically closed field of characteristic different of two. We establish the list of 73 non-isomorphic Jordan algebras. " | Jordan algebras, algebraically closed field, non-isomorphic | 16,224 | [
"\"In",
"this",
"paper,",
"we",
"classify",
"four-dimensional",
"Jordan",
"algebras",
"over",
"an",
"algebraically",
"closed",
"field",
"of",
"characteristic",
"different",
"of",
"two.",
"We",
"establish",
"the",
"list",
"of",
"73",
"non-isomorphic",
"Jordan",
"al... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
1010,
2057,
26268,
2176,
1011,
8789,
5207,
11208,
2015,
2058,
2019,
17390,
3973,
2701,
2492,
1997,
8281,
2367,
1997,
2048,
1012,
2057,
5323,
1996,
2862,
1997,
6421,
2512,
1011,
11163,
18078,
5207,
11208,
2015,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100... |
"For a prime power $q$, we show that the discriminants of monic polynomials in $\mathbb{F}_q[x]$ of a fixed degree $m$ are equally distributed if $\gcd(q-1,m(m-1))=2$ when $q$ is odd and $\gcd(q-1,m(m-1))=1$ if $q$ is even. A theorem in the converse direction is proved when $q-1$ is squarefree. " | prime power, discriminants, monic polynomials | 9,815 | [
"\"For",
"a",
"prime",
"power",
"$q$,",
"we",
"show",
"that",
"the",
"discriminants",
"of",
"monic",
"polynomials",
"in",
"$\\mathbb{F}_q[x]$",
"of",
"a",
"fixed",
"degree",
"$m$",
"are",
"equally",
"distributed",
"if",
"$\\gcd(q-1,m(m-1))=2$",
"when",
"$q$",
"i... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2005,
1037,
3539,
2373,
1002,
1053,
1002,
1010,
2057,
2265,
2008,
1996,
5860,
20026,
3981,
7666,
1997,
12256,
2594,
28175,
1999,
1002,
1032,
8785,
10322,
1063,
1042,
1065,
1035,
1053,
1031,
1060,
1033,
1002,
1997,
1037,
4964,
3... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this letter, we focus on designing constant-modulus waveform with discrete phases for the multi-input multi-output (MIMO) radar, where the signal-to-interference-plus-noise ratio (SINR) is maximized in the presence of both the signal-dependent clutter and the noise. Given the NP-hardness of the formulated problem, ... | MIMO radar, waveform design, convex hull | 18,904 | [
"\"In",
"this",
"letter,",
"we",
"focus",
"on",
"designing",
"constant-modulus",
"waveform",
"with",
"discrete",
"phases",
"for",
"the",
"multi-input",
"multi-output",
"(MIMO)",
"radar,",
"where",
"the",
"signal-to-interference-plus-noise",
"ratio",
"(SINR)",
"is",
"m... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3661,
1010,
2057,
3579,
2006,
12697,
5377,
1011,
16913,
11627,
4400,
14192,
2007,
16246,
12335,
2005,
1996,
4800,
1011,
7953,
4800,
1011,
6434,
1006,
2771,
5302,
1007,
7217,
1010,
2073,
1996,
4742,
1011,
2000,
1011,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this paper, we study static and spherically symmetric black hole (BH) solutions in the scalar-tensor theories with the coupling of the scalar field to the Gauss-Bonnet (GB) term $\xi (\phi) R_{\rm GB}$, where $R_{\rm GB}:=R^2-4R^{\alpha\beta}R_{\alpha\beta}+R^{\alpha\beta\mu\nu}R_{\alpha\beta\mu\nu}$ is the GB inva... | Black hole solutions, scalar-tensor theories, Gauss-Bonnet coupling function | 12,738 | [
"\"In",
"this",
"paper,",
"we",
"study",
"static",
"and",
"spherically",
"symmetric",
"black",
"hole",
"(BH)",
"solutions",
"in",
"the",
"scalar-tensor",
"theories",
"with",
"the",
"coupling",
"of",
"the",
"scalar",
"field",
"to",
"the",
"Gauss-Bonnet",
"(GB)",
... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3259,
1010,
2057,
2817,
10763,
1998,
18970,
2135,
19490,
2304,
4920,
1006,
1038,
2232,
1007,
7300,
1999,
1996,
26743,
2099,
1011,
23435,
8106,
2007,
1996,
19780,
1997,
1996,
26743,
2099,
2492,
2000,
1996,
11721,
17854... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"(Abridged) Since its launch in October 2002, the INTEGRAL satellite has revolutionized our knowledge of the hard X-ray sky thanks to its unprecedented imaging capabilities and source detection positional accuracy above 20 keV. Nevertheless, many of the newly-detected sources in the INTEGRAL sky surveys are of unknown ... | INTEGRAL satellite, hard X-ray sky, optical spectroscopy | 31,831 | [
"\"(Abridged)",
"Since",
"its",
"launch",
"in",
"October",
"2002,",
"the",
"INTEGRAL",
"satellite",
"has",
"revolutionized",
"our",
"knowledge",
"of",
"the",
"hard",
"X-ray",
"sky",
"thanks",
"to",
"its",
"unprecedented",
"imaging",
"capabilities",
"and",
"source"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1006,
11113,
9438,
2094,
1007,
2144,
2049,
4888,
1999,
2255,
2526,
1010,
1996,
9897,
5871,
2038,
4329,
3550,
2256,
3716,
1997,
1996,
2524,
1060,
1011,
4097,
3712,
4283,
2000,
2049,
15741,
12126,
9859,
1998,
3120,
10788,
2597,
2... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"From Mercury's perihelion precession (open question from 1845 to 1915) to Gravity Probe-B satellite (first proposal in 1959, launch in 2004), General Relativity had to deal with precession phenomena. Perihelion advancement precession (Einstein), geodetic (de Sitter), gravitomagnetic (Lense-Thirring) and spin-spin (Pug... | Perihelion precession, Gravity Probe-B satellite, General Relativity | 36,466 | [
"\"From",
"Mercury's",
"perihelion",
"precession",
"(open",
"question",
"from",
"1845",
"to",
"1915)",
"to",
"Gravity",
"Probe-B",
"satellite",
"(first",
"proposal",
"in",
"1959,",
"launch",
"in",
"2004),",
"General",
"Relativity",
"had",
"to",
"deal",
"with",
"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2013,
8714,
1005,
1055,
2566,
19190,
20806,
2239,
3653,
9623,
10992,
1006,
2330,
3160,
2013,
9512,
2000,
4936,
1007,
2000,
8992,
15113,
1011,
1038,
5871,
1006,
2034,
6378,
1999,
3851,
1010,
4888,
1999,
2432,
1007,
1010,
2236,
2... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The purpose of speech emotion recognition system is to classify speakers utterances into different emotional states such as disgust, boredom, sadness, neutral and happiness. Speech features that are commonly used in speech emotion recognition rely on global utterance level prosodic features. In our work, we evaluate t... | speech emotion recognition, frame level feature extraction, Berlin emotional database | 35,945 | [
"\"The",
"purpose",
"of",
"speech",
"emotion",
"recognition",
"system",
"is",
"to",
"classify",
"speakers",
"utterances",
"into",
"different",
"emotional",
"states",
"such",
"as",
"disgust,",
"boredom,",
"sadness,",
"neutral",
"and",
"happiness.",
"Speech",
"feature... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
3800,
1997,
4613,
7603,
5038,
2291,
2003,
2000,
26268,
7492,
14395,
26755,
2046,
2367,
6832,
2163,
2107,
2004,
12721,
1010,
29556,
1010,
12039,
1010,
8699,
1998,
8404,
1012,
4613,
2838,
2008,
2024,
4141,
2109,
1999,
4613,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Particles produced in high energy collisions that are charged under one of the fundamental forces will radiate proportionally to their charge, such as photon radiation from electrons in quantum electrodynamics. At sufficiently high energies, this radiation pattern is enhanced collinear to the initiating particle, resu... | quantum algorithms, final state radiation, quantum field theory | 25,303 | [
"\"Particles",
"produced",
"in",
"high",
"energy",
"collisions",
"that",
"are",
"charged",
"under",
"one",
"of",
"the",
"fundamental",
"forces",
"will",
"radiate",
"proportionally",
"to",
"their",
"charge,",
"such",
"as",
"photon",
"radiation",
"from",
"electrons"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
9309,
2550,
1999,
2152,
2943,
28820,
2008,
2024,
5338,
2104,
2028,
1997,
1996,
8050,
2749,
2097,
10958,
9032,
2618,
14267,
2135,
2000,
2037,
3715,
1010,
2107,
2004,
26383,
8249,
2013,
15057,
1999,
8559,
16175,
5149,
28987,
6169,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"Supplementary Material for ""Estimation of a Multiplicative Correlation Structure in the Large Dimensional Case"" " | Supplementary Material, Multiplicative Correlation, Large Dimensional Case | 657 | [
"\"Supplementary",
"Material",
"for",
"\"\"Estimation",
"of",
"a",
"Multiplicative",
"Correlation",
"Structure",
"in",
"the",
"Large",
"Dimensional",
"Case\"\"",
"\""
] | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD"
] | [
101,
1000,
26215,
3430,
2005,
1000,
1000,
24155,
1997,
1037,
4800,
24759,
25184,
16902,
3252,
1999,
1996,
2312,
8789,
2553,
1000,
1000,
1000,
102,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
-100,
... |
"Sequential learning, also called lifelong learning, studies the problem of learning tasks in a sequence with access restricted to only the data of the current task. In this paper we look at a scenario with fixed model capacity, and postulate that the learning process should not be selfish, i.e. it should account for f... | Sequential learning, lifelong learning, neural inhibition | 38,596 | [
"\"Sequential",
"learning,",
"also",
"called",
"lifelong",
"learning,",
"studies",
"the",
"problem",
"of",
"learning",
"tasks",
"in",
"a",
"sequence",
"with",
"access",
"restricted",
"to",
"only",
"the",
"data",
"of",
"the",
"current",
"task.",
"In",
"this",
"... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
25582,
4083,
1010,
2036,
2170,
13506,
4083,
1010,
2913,
1996,
3291,
1997,
4083,
8518,
1999,
1037,
5537,
2007,
3229,
7775,
2000,
2069,
1996,
2951,
1997,
1996,
2783,
4708,
1012,
1999,
2023,
3259,
2057,
2298,
2012,
1037,
11967,
20... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"In this article, we introduce a new variable selection technique through trimming for finite mixture of regression models. Compared to the traditional variable selection techniques, the new method is robust and not sensitive to outliers. The estimation algorithm is introduced and numerical studies are conducted to exa... | variable selection, trimming, estimation algorithm. | 45,018 | [
"\"In",
"this",
"article,",
"we",
"introduce",
"a",
"new",
"variable",
"selection",
"technique",
"through",
"trimming",
"for",
"finite",
"mixture",
"of",
"regression",
"models.",
"Compared",
"to",
"the",
"traditional",
"variable",
"selection",
"techniques,",
"the",
... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1999,
2023,
3720,
1010,
2057,
8970,
1037,
2047,
8023,
4989,
6028,
2083,
12241,
6562,
2005,
10713,
8150,
1997,
26237,
4275,
1012,
4102,
2000,
1996,
3151,
8023,
4989,
5461,
1010,
1996,
2047,
4118,
2003,
15873,
1998,
2025,
7591,
2... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"This paper studies the $H^1$ Sobolev seminorm of quadratic functions. The research is motivated by the least-norm interpolation that is widely used in derivative-free optimization. We express the $H^1$ seminorm of a quadratic function explicitly in terms of the Hessian and the gradient when the underlying domain is a ... | Sobolev seminorm, least-norm interpolation, derivative-free optimization | 14,322 | [
"\"This",
"paper",
"studies",
"the",
"$H^1$",
"Sobolev",
"seminorm",
"of",
"quadratic",
"functions.",
"The",
"research",
"is",
"motivated",
"by",
"the",
"least-norm",
"interpolation",
"that",
"is",
"widely",
"used",
"in",
"derivative-free",
"optimization.",
"We",
... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
2023,
3259,
2913,
1996,
1002,
1044,
1034,
1015,
1002,
17540,
9890,
2615,
4100,
12131,
2213,
1997,
17718,
23671,
4972,
1012,
1996,
2470,
2003,
12774,
2011,
1996,
2560,
1011,
13373,
6970,
18155,
3370,
2008,
2003,
4235,
2109,
1999,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
"The concepts of calibrating Function Points are discussed, whose aims are to fit specific software application, to reflect software industry trend, and to improve cost estimation. Neuro-Fuzzy is a technique which incorporates the learning ability from neural network and the ability to capture human knowledge from fuzz... | calibrating Function Points, software industry trend, cost estimation | 8,840 | [
"\"The",
"concepts",
"of",
"calibrating",
"Function",
"Points",
"are",
"discussed,",
"whose",
"aims",
"are",
"to",
"fit",
"specific",
"software",
"application,",
"to",
"reflect",
"software",
"industry",
"trend,",
"and",
"to",
"improve",
"cost",
"estimation.",
"Neu... | [
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"B-KEYWORD",
"... | [
101,
1000,
1996,
8474,
1997,
10250,
12322,
15172,
3853,
2685,
2024,
6936,
1010,
3005,
8704,
2024,
2000,
4906,
3563,
4007,
4646,
1010,
2000,
8339,
4007,
3068,
9874,
1010,
1998,
2000,
5335,
3465,
24155,
1012,
11265,
10976,
1011,
18001,
2003,
... | [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0... | [
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1... | [
-100,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 114