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Find the identical rows in a matrix
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$begingroup$
Suppose I have the following matrix:
M =
{{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0,1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
TableForm[M, TableHeadings -> {{S1, S2, S3, S4, S5, S6, S7, S8}}]
In this case, it turns out that rows (S1, S8), (S2, S3, S4), (S5, S6, S7) have equal element values in identical column positions. I have a 1000 x 1000 matrix to examine and would appreciate any assistance in coding this problem.
list-manipulation matrix
edited 2 hours ago
m_goldberg
89.1k873200
asked 3 hours ago
PRGPRG
1028
$endgroup$
add a comment |
$begingroup$
Suppose I have the following matrix:
M =
{{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0,1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
TableForm[M, TableHeadings -> {{S1, S2, S3, S4, S5, S6, S7, S8}}]
In this case, it turns out that rows (S1, S8), (S2, S3, S4), (S5, S6, S7) have equal element values in identical column positions. I have a 1000 x 1000 matrix to examine and would appreciate any assistance in coding this problem.
list-manipulation matrix
edited 2 hours ago
m_goldberg
89.1k873200
asked 3 hours ago
PRGPRG
1028
$endgroup$
$begingroup$
TryValues[PositionIndex[M]]
$endgroup$
– Coolwater
56 mins ago
add a comment |
$begingroup$
Suppose I have the following matrix:
M =
{{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0,1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
TableForm[M, TableHeadings -> {{S1, S2, S3, S4, S5, S6, S7, S8}}]
In this case, it turns out that rows (S1, S8), (S2, S3, S4), (S5, S6, S7) have equal element values in identical column positions. I have a 1000 x 1000 matrix to examine and would appreciate any assistance in coding this problem.
list-manipulation matrix
edited 2 hours ago
m_goldberg
89.1k873200
asked 3 hours ago
PRGPRG
1028
$endgroup$
Suppose I have the following matrix:
M =
{{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0,1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
TableForm[M, TableHeadings -> {{S1, S2, S3, S4, S5, S6, S7, S8}}]
In this case, it turns out that rows (S1, S8), (S2, S3, S4), (S5, S6, S7) have equal element values in identical column positions. I have a 1000 x 1000 matrix to examine and would appreciate any assistance in coding this problem.
list-manipulation matrix
list-manipulation matrix
edited 2 hours ago
m_goldberg
89.1k873200
asked 3 hours ago
PRGPRG
1028
edited 2 hours ago
m_goldberg
89.1k873200
asked 3 hours ago
PRGPRG
1028
edited 2 hours ago
m_goldberg
89.1k873200
edited 2 hours ago
m_goldberg
89.1k873200
edited 2 hours ago
m_goldberg
89.1k873200
89.1k873200
asked 3 hours ago
PRGPRG
1028
asked 3 hours ago
PRGPRG
1028
asked 3 hours ago
PRGPRG
1028
1028
$begingroup$
TryValues[PositionIndex[M]]
$endgroup$
– Coolwater
56 mins ago
add a comment |
$begingroup$
TryValues[PositionIndex[M]]
$endgroup$
– Coolwater
56 mins ago
$begingroup$
Try
Values[PositionIndex[M]]$endgroup$
– Coolwater
56 mins ago
$begingroup$
Try
Values[PositionIndex[M]]$endgroup$
– Coolwater
56 mins ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
idx = DeleteDuplicates[Sort /@ Nearest[M -> Automatic, M, {∞, 0}]]
{{1, 8}, {2, 3, 4}, {5, 6, 7}}
In order to obtain the labels of the rows, you may use the following:
labels = {S1, S2, S3, S4, S5, S6, S7, S8};
Map[labels[[#]] &, idx, {2}]
{{S1, S8}, {S2, S3, S4}, {S5, S6, S7}}
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
$endgroup$
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
add a comment |
Your Answer
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
idx = DeleteDuplicates[Sort /@ Nearest[M -> Automatic, M, {∞, 0}]]
{{1, 8}, {2, 3, 4}, {5, 6, 7}}
In order to obtain the labels of the rows, you may use the following:
labels = {S1, S2, S3, S4, S5, S6, S7, S8};
Map[labels[[#]] &, idx, {2}]
{{S1, S8}, {S2, S3, S4}, {S5, S6, S7}}
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
$endgroup$
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
add a comment |
$begingroup$
idx = DeleteDuplicates[Sort /@ Nearest[M -> Automatic, M, {∞, 0}]]
{{1, 8}, {2, 3, 4}, {5, 6, 7}}
In order to obtain the labels of the rows, you may use the following:
labels = {S1, S2, S3, S4, S5, S6, S7, S8};
Map[labels[[#]] &, idx, {2}]
{{S1, S8}, {S2, S3, S4}, {S5, S6, S7}}
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
$endgroup$
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
add a comment |
$begingroup$
idx = DeleteDuplicates[Sort /@ Nearest[M -> Automatic, M, {∞, 0}]]
{{1, 8}, {2, 3, 4}, {5, 6, 7}}
In order to obtain the labels of the rows, you may use the following:
labels = {S1, S2, S3, S4, S5, S6, S7, S8};
Map[labels[[#]] &, idx, {2}]
{{S1, S8}, {S2, S3, S4}, {S5, S6, S7}}
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
$endgroup$
idx = DeleteDuplicates[Sort /@ Nearest[M -> Automatic, M, {∞, 0}]]
{{1, 8}, {2, 3, 4}, {5, 6, 7}}
In order to obtain the labels of the rows, you may use the following:
labels = {S1, S2, S3, S4, S5, S6, S7, S8};
Map[labels[[#]] &, idx, {2}]
{{S1, S8}, {S2, S3, S4}, {S5, S6, S7}}
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
edited 2 hours ago
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
answered 3 hours ago
Henrik SchumacherHenrik Schumacher
61.2k585171
61.2k585171
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
add a comment |
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
Henrik: Can I add the S in front of the result; e.g., (S1,S8),(S3,S4),(S5,S6,S7)?
$endgroup$
– PRG
3 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
MANY THANKS, HENRIK!
$endgroup$
– PRG
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
$begingroup$
YOU'RE WELCOME, PRG! =D
$endgroup$
– Henrik Schumacher
2 hours ago
add a comment |
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$begingroup$
Try
Values[PositionIndex[M]]$endgroup$
– Coolwater
56 mins ago