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a friend asked:

matlab question: i have an array of data. how do i get matlab to find the position of an entry closest to some arbitrary value?
for instance, i would have
a= [1; 4; 6; 8; 12]
i want to search for 9 and have matlab spit back 4, the entry in a closest to 9.

here’s one way to solve that problem (assuming that variable k=9):

>> [min_difference, array_position] = min(abs(a – k))

wheree array_position is the desired index value.


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237 Responses to “in matlab, find the array position of an entry closest to some arbitrary value”

  1. on 01 Feb 2007 at 1:01 pm Cruchon

    Something like
    [rte,index]=min(abs(X-x0)); where x0 is the target and X is the array you want to search in works. The answer is index.

  2. on 01 Feb 2007 at 1:08 pm Lawrence David

    i believe that’s exactly what i wrote above.

  3. on 29 May 2007 at 10:28 am Roman

    Thanks guys!

  4. on 20 Jul 2007 at 4:00 pm Hilikus

    ??? that returns the difference between the closest and the target vale not its INDEX

  5. on 20 Jul 2007 at 4:13 pm lawrence

    hilikus:

    the second argument returned is the index; the first argument returned is the difference.

  6. on 20 Jul 2007 at 4:21 pm Hilikus

    Bah, nevermind, i didnt see the double output

  7. on 15 Sep 2007 at 10:18 am D

    >> [trash array_position] = min(abs(a – k))

    probably should have a “,” or odd things may happen.

    [trash, array_position] = min(abs(a – k))

    I wasted a lot of time recently and that simple problem caused it.

    D

  8. on 29 Feb 2008 at 2:58 pm jess

    I love you for this! *mwah*

  9. on 05 Mar 2008 at 12:44 pm huzzzaa

    thanks guys!!!!!!!!! saved me hours developing my own algorithm!

  10. on 28 May 2008 at 12:43 pm Chan

    Man, you guys really rock! Thanks a lot, saved me hours. Keep up the good work!!

  11. on 27 Aug 2008 at 12:01 pm marchessoux

    Thanks a lot, exacty what I needed, so economy of many time ;=)
    Cédric

  12. on 23 Sep 2008 at 11:44 am dave

    can you do something similar but for several k’s at a time?

  13. on 04 Dec 2008 at 2:23 am MoneyG

    Is there a similar way to get position information out of a matrix.

    I tried something like,
    [row,col]=min(min(matrix))
    but that returns only the final row that the element is in, not its exact location.

  14. [...] to see the wood for the trees”. I guess it is also know to non-German speakers? I just found this very trivial, banal and easy Matlab command line, which makes my equivalent lines look very stupid and [...]

  15. on 17 Feb 2009 at 4:02 am Tom

    Nice! Saved me some time!

  16. on 11 Mar 2009 at 5:29 am Sameer

    How Matlab search the object or variable name in simulink model.
    mean Functionality of Edit->Find…(Ctrl+F).

  17. on 11 May 2009 at 12:03 pm cato

    but what if you want to be sure you at the value closest to this value right/left side?

    for instance, a cumulative probability vector and you want to find the index for the value that is the first above 0.5?

  18. on 22 Aug 2009 at 2:59 pm efrain

    greato!
    thanks a lot! :D

  19. on 27 Aug 2009 at 1:33 pm sharkey

    Thanks for post this! You just made my life easier.

  20. on 27 Aug 2009 at 1:35 pm sharkey

    apparently, the space this took in my brain was previously occupied by my knowledge of the English language… sorry.

    Thanks for posting this. You just made my life easier.

  21. on 21 Nov 2009 at 6:53 pm penguin

    you could use something like this for multiple ‘k’s (‘range’ == ‘a’, ‘vector’ is a set of ‘k’s):

    function inds = findClosest(range, vector)
    % ‘flatten’ everything into row vectors
    origshape = size(vector);
    sz_r = size(range);
    numTargets = sz_r(1) * sz_r(2);
    numInputs = origshape(1) * origshape(2);

    range = reshape(range, [1, numTargets]);
    vector = reshape(vector, [1, numInputs]);

    % find the difference between the target values and the actual values
    % ‘range’ is replicated across columns,
    % ‘vector’ is replicated across rows
    diff = repmat(range’, 1, numInputs);
    diff = diff – repmat(vector, numTargets, 1);
    diff = abs(diff);

    [vals, inds] = min(diff);
    inds = reshape(inds, origshape);
    end

  22. on 09 Mar 2010 at 5:11 am Max

    Much better than my routine, which always
    gets confused by the extrema of the array.
    And faster too, love it.

  23. [...] why multiple output arguments in Matlab were a poor design decision. But here is a start. In an unsuccessful attempt to find a code that’s less than O(N*M) in storage for a problem that in a…, I saw that someone on Yahoo! Answers wants to know, Is there a similar way to get position [...]

  24. on 10 Aug 2010 at 3:04 pm Jay Mung

    Hey Lawrence. Columbia BME ’04 alum here. I googled for your little trick here and was pleasantly surprised to find your blog. Keep up the good work.

    Jay

  25. on 23 Aug 2010 at 11:54 am Alexander

    Lawrence, I really enjoy your blog, I have found useful answers to many questions. This one was not the exception. Thanks a lot and keep up the great work.

  26. on 27 Sep 2010 at 4:39 pm davie

    This was a fantastic hint. Simple and effective. Saved me hours of trying to bin data for use in a data averaging algorithm. Glad to see being clever is working out for you. Thanks!

  27. on 08 Oct 2010 at 11:06 am Matt

    This is a great tip thanks.

    I did have one problem with it though, in an unlikely scenario. I was using it in my code when a could be only one value (ie, len(a) = 1) when this is the case MATLAB does not like it when the ‘min’ function is only working on one value and returns an error (??? Index exceeds matrix dimensions.)

    I fixed it in my code by placing an ‘if’ statement to check to see that the length of ‘a’ is more than one. Is anybody aware of a simpler method of solving this problem??

    thanks,

    Matt

  28. on 08 Oct 2010 at 11:56 am Matt

    oops, no, ignore my message. I’m an idiot, the problem was, that I errenously had created a variable called ‘min’ in my code previously and matlab was calling that variable instead of the min function.

  29. on 13 Mar 2011 at 1:21 pm gabus

    Hi gays,

    I’ve had the same problem several times in my research, so I’ve developed a function to get the index “index” associated to the closest value to “value” closest element in “freqVect” .

    Hope you gays find it useful!!

    ———————————
    function index = getFreqIndex(freqVect,value)
    % Esta funcion busca dentro de un vector con valores no necesariamente igualmente espaciados
    % y devuelve el indice mas cercano del vector que corresponde al valor “value”.
    % El resultado se da dentro de una banda de precision de la forma [value-df1,value+df2].
    % Ojo, el vector no puede tener valores repetidos.

    index=-1;
    for i=1:length(freqVect)
    switch(i)
    case 1
    df1=0;
    df2=abs(freqVect(i)-freqVect(i+1))/2;
    case length(freqVect)
    df1=abs(freqVect(i)-freqVect(i-1))/2;
    df2=0;
    otherwise
    df1=abs(freqVect(i)-freqVect(i-1))/2;
    df2=abs(freqVect(i)-freqVect(i+1))/2;
    end

    if(freqVect(i)>=value-df1 && freqVect(i)freqVect(length(freqVect))), index=length(freqVect);end
    if(value<freqVect(1)), index=1;end
    end

    end

  30. on 14 Mar 2011 at 1:32 pm Nipun

    for finding the exact location of any data in the array (both the row and column)
    try this
    [I,J] = find(T==max(max(T)))
    where T is the array.

  31. on 23 Mar 2011 at 8:37 pm Rabindra Rimal

    great8 (°_°)!
    thanks a lot!
    i had spend more then 10hrs for it.
    thank you soo much.
    <3 <3

  32. on 25 Jul 2011 at 7:44 pm Kelz

    Hi, I have a very large matrix, i have the matrix index (x,y,z) but im intrested in the actual value of this index in the original array. How do I go about this?

  33. on 25 Jul 2011 at 7:45 pm Kelz

    Hi, I have a very large matrix, i have the matrix index (x,y,z) but im intrested in the actual value of this index in the original array. How do I go about this? Kelz

  34. on 10 Aug 2011 at 5:32 pm Kostas

    Worked brilliant, thanks!

  35. on 03 Sep 2011 at 12:45 pm basu

    how to find proximity matrix of binary data?

    and how to find angle for bounding boxes of binary image using PCA

  36. on 30 Nov 2011 at 12:03 pm Michele

    Hi!
    I need to find a value in different Array(n,m).
    I try to use something like this:
    [n,m]=find(A47==9941005309)
    and this works well, so i need a loop that for i=1:47 searchs 9941005309 in A1, A2, Ai…
    I tried like this:

    [n,m]=find(R,num2str(l)==9941005309)

    where R=’A’ but it doesn’t work, where I’m wrong?
    Thanks for help me!

  37. on 08 Dec 2011 at 9:14 pm Brian

    For multidimensional matrices:

    [i,j,k] = closest_match(M,a)
    % Find the indices of the value closest to a in matrix M
    [~, linear_index] = min(abs(T(:)-val)));
    [i,j,k] = ind2sub(size(T),linear_index)

  38. on 08 Dec 2011 at 9:16 pm Brian

    Edit to above; I forgot to type “function”

    function [i,j,k] = closest_match(M,a)

  39. on 20 Jan 2012 at 8:00 pm Paris

    What if I need the closest entry of the array but within limits?

    Example to clarify:

    I have the array test=[5,6,7,8,9,10] and I want the index of the entry closest to 5 out of the entries that are >=6 (therefore the index of 6 -> 2).

    [~,idx]=min(abs(5-test)) returns 1 of course…

    At first I though about trying something like

    [~,idx]=min(abs(5-test(test>=6)))

    but it won’t do since 6 has idx=1 within the test(test>=6) array and therefore the ans is still idx=1.

    Any ideas?

  40. on 14 Jun 2012 at 5:59 pm mariam

    if i add to images in matlab and the result is a greater than 255 ,or when i subtract two image and the result is smaller than 0
    what is the matlab do in this cases i need to now becouse i will implement it in CUDA

  41. on 22 Aug 2012 at 10:39 pm Amin

    that is a great tip, thanks

  42. on 01 Feb 2016 at 12:30 am Hasib

    penguin, you are a genius. Your function is awesome.

  43. on 04 Feb 2016 at 7:33 am Rahul

    Hi,
    i have two arrays in which one derived from other as,
    A=[2,3,4,5,6,7];
    B=[4,5,7];
    i need some what like this,
    C=[0,0,4,5,0,7];
    how is this possible.please help me!.
    Thanks

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    President Trump suggested Monday that he was happy with coverage of his  unscheduled trip to North Korea for an impromptu meeting with Kim Jong-un, despite the heavy criticism he received for it from Democrats.Trump said it was ‘great to call on’ the North Korean leader before their ‘very well covered meeting’ in the demilitarized zone. ’Thank you to President Moon of South Korea for hosting the American Delegation and me immediately following the very successful G-20 in Japan. While there, it was great to call on Chairman Kim of North Korea to have our very well covered meeting.

    Good things can happen for all! ‘ he said. President Trump suggested Monday that he was happy with coverage of his unscheduled trip to North Korea for an impromptu meeting with Kim Jong-un, despite the heavy criticism he received for it from Democrats Trump said it was ‘great to call on’ the North Korean leader before their ‘very well covered meeting’ in the demilitarized zoneMinutes after Trump bragged about his trip, Sen. Bernie Sanders, a top-tier contender to run against him in the general election, denounced the Republican president’s foreign policies. ‘I have no problem with Trump negotiating with Kim Jong Un. But while he’s meeting with Kim, he’s pushed us to the brink of war with Iran, and kept us in the horrific Saudi-led war in Yemen,’ he said.Sanders added: ‘We can’t just have photo opportunities.

    We need real diplomacy.’Former Vice President Joe Biden was slower to reply, he sent out a lengthy statement more than 24 hours after Trump’s meeting with Kim that smacked him for the lack of demonstrable progress on the nuclear issue after three summits. ’Yet again, Donald Trump has demonstrated that he is more concerned with a photo op for himself than getting results for the American people.

    He has repeatedly elevated Kim Jong Un — a murderous tyrant — on the international stage in exchange for almost nothing,’ he said. Biden chided: ‘Diplomacy is important, but diplomacy requires a strategy, a process, and competent leadership to deliver.
    After three made-for-TV summits, we still don’t have a single concrete commitment from North Korea. ’Not one missile or nuclear weapon has been destroyed, not one inspector is on the ground. If anything, the situation has gotten worse.

    North Korea has continued to churn out fissile material and is no longer an isolated pariah on the world stage.’ RELATED ARTICLES

    Share this article
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    Trump had handicapped the visit as it happened, when he complained that media would give him bad reviews. ’When I put out the social media notification, if he didn’t show up the press was going to make me look very bad,’ Trump said of his Saturday invitation to meet.

    ‘So you made us both look good and I appreciate it.’   At another point he told the media that had Kim decided not to show, ‘You would have hit me hard.’His remarks preceded a round of Sunday show interviews, in which his competitors, fresh off their first debate proceeded to skewer him.Democratic candidate and Minnesota Sen. Amy Klobuchar told CNN, ‘We have seen a history here, especially in this case, where Donald Trump announces these summits, and nothing really comes out of it. Democratic candidate and Minnesota Sen. Amy Klobuchar told CNN, ‘We have seen a history here, especially in this case, where Donald Trump announces these summits, and nothing really comes out of it. ’Of course, as a country, we want this to work.

    We want to see a denuclearization of the Korean Peninsula, a reduction in these missiles. But it is not as easy as just going and bringing a hot dish over the fence to the dictator next door. This is a ruthless dictator.’Meanwhile, the president’s national security adviser was combating a newspaper article in which sources claimed Trump could allow Kim to keep his nuclear weapons. Trump seemed happy with the coverage of his trip to Asia, sending multiple tweets about it on Monday from the White House, where he was recuperating from a 30-hour dayA report characterized it as a ‘nuclear freeze,’ and said the position change has been kicked around in the administration for months.John Bolton said in a Monday morning tweet that there had been no such discussion by anyone working at the White House and demanded consequences for the sources pushing the false claims.’I read this NYT story with curiosity.

    Neither the NSC staff nor I have discussed or heard of any desire to ‘settle for a nuclear freeze by NK.’ This was a reprehensible attempt by someone to box in the President. There should be consequences,’ he said. Trump did suggest he could loosen sanctions in a 45-minute, closed-door meeting with Kim on Sunday in the demilitarized zone that separates the two Koreas.’The sanctions remain but at some point during the negotiations things can happen,’ he said.  He claimed that unspecified progress had been made in their third round of talks, which came after Trump invited Kim over Twitter to meet in neutral territory.Their second summit fell apart without a new agreement, and North Korea has resumed weapons tests since the conversation in Hanoi. The president’s national security adviser says Donald Trump has never said he’d be open to allowing Kim Jong-un to keep his nuclear weapons Trump did suggest he could loosen sanctions in a 45-minute, closed-door meeting with Kim on Sunday in the demilitarized zone that separates the two Koreas.

    He told reporters as much afterward Bolton wasn’t on the trip – he’s seen here in Mongolia on Monday – but says it’s never come upTrump said Sunday that talks would be restarting, ‘We are going to have teams, they are going to meet over the next weeks, they are going to start a process and we will see what happens.His position throughout the administration has been the complete, verifiable denuclearization of the rogue nation under heavy U.S.

    and international sanctions for illicit nuclear tests.Sources told the Times that Trump administration was considering a softening of its positions and the president could allow Kim, with whom he’s become pen pals, to keep his nuclear arsenal if he promises not to use it.Bolton refuted the claim on Twitter.

    He said neither he nor anyone else at the National Security Council, NSC, had heard it discussed.It remained unclear on Monday morning whether anyone from NSC was in the room with Trump and Kim when they held their private talk, moments after Trump became the first sitting president to enter North Korea.Bolton was on other travel at the time.

    He was not on the president’s trip to Seoul and did not participate in his field trip to the DMZ and North Korea. It is not known whether an NSC aide was in the room with the president when he met Kim at all.  A spokesperson for the NSC did not immediately respond to a request for clarification.  ‘HISTORIC’: President Trump stood waiting for Kim Jong Un ahead of their meeting today, Jong Un was seen marching towards Mr Trump U.S.

    President Donald Trump meets with North Korean leader Kim Jong Un at the demilitarized zone separating the two Koreas, in Panmunjom Kim Jong Un and Donald Trump shake hands during a meeting on the south side of the Military Demarcation LineTrump came out of the meeting raving about his relationship with Kim.

    He said he could have the North Korean leader who’s barred from coming to the U.S. unless an exception is created at the White House in Washington.The visits are typically reserved for U.S. allies and doled out infrequently to anyone outside of Group of 20 leaders.As he arrived at the White House residence on Sunday evening, President Trump ducked a question from DailyMail.com on the timing of Kim visit.Kim told Trump earlier in the 30-hour day that started in Asia and ended in the U.S.

    that he was ‘very courageous’ for crossing the demarcation line and coming to the North.’This has a lot of significance because it means that we want to bring an end to the unpleasant past and try to create a new future, so it’s a very courageous and determined act,’ Kim told Trump through a translator after smiling during their initial handshake greeting.

    ‘You’re the first U.S. president to cross this line.’   Trump invited Kim to meet him for a handshake in a tweet that came amid his trip to Japan for the G20. He claimed he just thought of it, even though reports had been circling for weeks that he’d like to meet Kim, and he told reporters on at least two occasions prior to leaving the White House that he was thinking about it.The president stuck to his story over the weekend, even as news outlets blasted holes in it. ’I said you, know what, at the right time, you’re going to come over.

    We’re going to go over there,’ Trump told reporters after his meeting, held along the 38th parallel, which marks the dividing line set at the time of the 1953 Korean War Armistice.  White House Senior Advisors Ivanka Trump and Jared Kushner, walk in the border village of Panmunjom in the Demilitarized Zone, South Korea South Korean President Moon Jae-in (R) meets with North Korean leader Kim Jong-un, alongside US President Donald J.

    Trump (L), at the truce village of Panmunjom in the Demilitarized Zone, which separates the two Koreas, 30 June 2019 Photographers run as North Korea’s leader Kim Jong Un and US President Donald Trump cross south of the Military Demarcation Line that divides North and South Korea, after Trump briefly stepped over to the northern side, in the Joint Security Area (JSA) of Panmunjom in the Demilitarized zone (DMZ) on June 30, 2019 President Donald Trump meets with North Korean leader Kim Jong Un and South Korean President Moon Jae-in, right, at the border village of Panmunjom in the Demilitarized Zone, South Korea, Sunday, June 30, 2019.

    (AP Photo/Susan Walsh)The two leaders sat down in the pastel blue Freedom House at the DMZ for what was to be a brief meeting. But it went on for close to an hour, and Trump left boasting that they’d made great progress.  First daughter Ivanka Trump and husband Jared Kushner accompanied the president.Asked shortly after the end of the Trump-Kim meeting what it was like to visit North Korea, the president’s daughter replied: ‘Surreal.’At that event, like the greeting carried on live TV in Korea and on cable networks internationally, Trump thanked Kim again, once more stressing their personal bond. ’I want to thank you, chairman,’ Trump said.

    ‘You hear the power of that voice. Nobody’s heard that voice before. He doesn’t do few news conferences, in case you haven’t heard.’Trump’s quip about the absolute power Kim wields papered over the mass starvation in North Korea and the dictator’s use of a Stalinist tactics to suppress opposition to his inherited rule. U.S.

    President Donald Trump shakes hands with North Korean leader Kim Jong Un at the demilitarized zone separating the two Koreas, in Panmunjom, South Korea, June 30, 2019 White House senior advisor Ivanka Trump, along with U.S.

    President Donald Trump and U.S. Secretary of State Mike Pompeo, speaks to U.S. troops at the Osan Airbase on June 20, 2019 in Pyeongtaek <div class="art-ins mol-factbox floatRHS news" data-version="2" id="mol-5309fcf0-9c24-11e9-92e1-232a655ddbbf" website celebrates trip to DMZ, says it was 'great to call on' Kim

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