a to now three money and it it can um you don't will have and uh_huh and silky key for so you know Q to assume karen's and come from japan and in in just present a and we will present the new the or boring with some four don't think it detection for two days and that you know that nick details of several is it didn't it is that the the ten send up to matters from thirty and you indicate that you have you have is ten so is not only um a two dimension um at least two maybe i two dimensions so do would problem uh the the than the friend is about how well i with only that we we we we bold and with tom was this the and with them the cater but this a big three number of component it's that a a back on the common on in them first what in them that you less and the and uh the a thing with them well a best only one component in the uh huh uh he that's going last and what but what i went don't that to to to do to to dry but there are with them can can a bit a bit number of component we we assume like uh we will present the this a we coding it is that and you we see that for coding it that more thank with them can can of fit the data L and we will as well in yeah present here the application with a easy data the real were application so just see here what is it ten so that so it's is that the moon to way and the for a the F is this special case of them canonical polyadic is to compose and when we call we so on this one these the uh a five in the model it like this we have to so and we want to to compile ways to for symbol if just your time your data have that freedom are three dimensions and then we want to find three fact along for the one and on the first dimension of the tool of but that's for the tree so on and the call that's a here is them you you have a very uh a special case but very special should die that's only that kernel that were not uh uh the and and only a on the diagonal of ten so so you see is it's worse than a in the mood the linear oh form and you know two is a at rate the our motivation we we you is here the first very simple ah it's sample assume that you have a ten so with side of one can dress by one can write my one hundred and a and just a so is composed by three from the value C yeah three dimensional so and one from a to have three and no one thought the have five sparse common and and we we for the common to be called you we a not my symbol but simple modification like this you see uh the come of a symbol here if it um i go to you have a common and the come the second come by the first come plus the second and and with the scary is zero point five and if we use the less and with um the i less camp them can find a a a a way to not one to plop by and this and then pro proof was in two thousand to tell them and it cannot fit this like up we call it um you see here up the fruit ways and um a a there and the right the C in did not improve anymore even if we have here we row uh no five power than uh but are and i uh in interest and ask we which at this they that we are not able and a bit on this you see here the monte look at this and with some ball by so okay this i was is only fall for for and a map and has done in to tell than five he's ten this and an to uh and a no to at the for three dimensional symmetric and so and more of in two thousand six he also able it's then the multi this and we some bus with two to kind of and was some we have uh the multi cut the least square and with some i'm want to claremont moaned deeply is camilla but and we so and we chess here these want to plot this i L S this square and the in and this can okay is better that uh uh a less it with them but is still cannot be the the solution i decide yes you he use easy G "'em" ten minus five and the here at go and with them in a point to it out to two thousand nine it better but this to this this to and up that five one than five hundred and in into a recent and we paul than one and was a bit of the ten is but uh and is good up to five hundred into however like the when the this event that of the the clear less and was an that this D very similar to the is a on the a less and some that's mean in me that this and with some to to a that the the fact that need to inverse of very last scale matters if you have a high dimensional so and you have high come and you have you have in the the number of common in this last and the you have to go out with them is but on the that the idea but the the have go like with the with that you best only one component at it it's race and sell this at the hair the to go with them have a come that's in the cost but it it men a lot of the both trace and the clearly a the clear less and was a list can but but up uh with free to a it's way and but is to have a hack "'em" with this in a cost and the and i was but what um well well that's but uh we propose a and with them that's have some in the in this reason that's the at the new and with a suit but that then the here that's going with them well list can with this in cost than that yeah you're like a resume this is the new this our motivation and of of we don't we also have a here the whole one it was on for some the P M F three and so and we some but by but the row and that that doesn't no uh no but it that T seven and the but see if to get a okay again to it's is um but uh to F P and to but now screen we best in two thousand than a to of than ten in nice gas and we we we'd we yeah we don't present all of this and with them it's could be that the second uh or is that a sum so we see here well in a in order to derive a new entry time we consider again the problem the nonnegative the nonacoustic a trip this programming like it's like this we will abide is fun so uh with three D the it's square matrix a policy nonnegative symmetric as i was to different methods and be the best that with item one and we propose the the recursive approach to solve this problem oh first what it uh we have it at this step one we compute that's solution of this but this gradient so it on the element of this vector is nonnegative so this orders distill it at you know we'll be the solution of this but oh difference and however usually it's it could be like this we that's this they have some the estimated date element in this vector and we we have to two set one is i i by with the in des up normally it like and they negative uh as due da a to and this it uh this this as a a well up but an only uh this this these negative and this see it says nonnegative elements and we on and not a a small problem that's model uh i P be problem with a a what the by a a K and K way it where K the number of active and one here and was on this one in the read seas a pro the egg with them like this you see yeah a compute the solution and then five a remove give only the you only the non at am and and then on again so on this re would be the will bit this real and to yeah this that i M T yes so you see here that the eye or less and the clear less of that on the component and the here at school i are let the that the two that only one component and we're new act we will be the new it with them in this the and we dedicate possible we that they K come and we assume that ah and the yes i and i and these it it the fact that and but with only "'kay" come and to be estimated and we so the the the the C P i got easy the and F model into two points one these that the um one part composed Y by like come around but it not in this test and then not about it does compose Y a component like this and we define the the to do or but that's a the the used as a it you see here the dress you that's so is we we is planned and pressed by and and T a model an net of model but with a low come than is only take a component is that a is is only K can is that a a common so you see here and we from the cost function fall for these ten so we uh we we see here with we want to spend the conference and we will we convert this cost person to to this to this to just fall to this song what we do okay you C so if it better why the vector i best the but but the we if you better why the fact that i i and i and R uh a when we've press and we can from but this but for sent to this fall this the and be form and then we can use the egg be the because see a problem we at i as and oh at to just on this problem and and with them like this oh okay oh sorry the that's that be like this because but the but to be here you see the vet to be here is is uh by on rest of you ten so multiplied with a cocker our products of on the animal a on the fact that it's set the fact and and it's K we for the paul high dimensional a so we need to be love this takes so and it could demand high and with a an that file and the one we we we one he that's we we don't want to to be a to time so we don't want to be the rest you ten so and how to how to remove this we spread that the feedback vector the fire stress by reply the if you we the different nice enough the was you ten and we we had uh if the is present for the fire matters here C you raw data and this i this it the okay i agree is bounded location here but for here use the case and these uh do not the high how to mark broader and this you know the card to dot product is step all four on the fact that it's of the father and and this also on this you how to mark or or fall on the fact that but is that the from and so you have a is present fall it decide for first and for the for a part of a that five matches and a and that we play in and i could be a problem for and we from a with a place that there the with some four to press uh i "'kay" can it is that the on component and you see here but it's it's rice sent to look at the that and we select that's of says from a component and then compute like to yeah my two oh U we yeah free fine here and then we hope that the fact the i and a by you in the and can and and and do this and to the will be replicate into a common would be okay that is that's the okay i will explain and the egg with them these in this okay if the right within five but would be to um problem for the problem of that for the the and with them alive live it becomes easier the uh this the the identity matrix with I uh i think and the uh going to control of the the this and then they met with with the amount with this garment maker and the size of this this product with that though i and by by well i se and by a and no i by by K and then in it K of this this i and he's ready last are this in also very locked the you C the problem is uh the problem that is points and this step maybe you might high can be and the problem i we want to you do this this that how to do this we define this one is that little back on that on the role we back only one row by row and established new with the top with new the new and before i three problem paul one role for one rows in this case you have a silly a fast he's only four gram uh and easy four is the only for gamma we we already removed that acted out border no cortical product oh wow identity matrix a sigh i i se and active and here yeah and the nice nest i next next i we will present how to to "'kay" command from its of set up a common normally we we would that we than there normally you see here the this real we we have that and do you on the common like this so this can be certified the and and the number the number of them the number of i you numbers of the case is that you that the number of combination but i "'kay" we taken from that a set of site so i i false and if you have take "'em" and and you best only to common it just K you have mm forty five combination yes just used finished a D oh okay K you we have to us another give high up a bit of i know guy of so that's less than like this we divide that says i'll from one to octave in into a into to separate into it is the fact but this is that it's to be a a normal less all i'll L a possible and and and of the K and not a a a to that we we select "'kay" highly colour already correlated component from a component from a common or we can see a we have many guys select a but a and "'kay" K K E come on from a common a we to here for a coding data and it would be you the fine fine ten so a to so ten so with side one hundred fall for every four on the dimension and the what on it if we have here ten component i don't we also for to the common to be calling yeah and here you see uh the what deep look at effect of them is not in of fit the data of or what you the also problem for the a less here here you have to a you have here the the here here the your with them and here these the with K is weak a four we have this for this can wasn't and we we K seven we have this like and we K ten we had this line and the clear less we have this i so you using we will put pop here and with them is so but that then the are you less but are better than the to go ahead with "'em" of got better than the light and them but uh sometime time is also but than than the pls and and we some easy to a bit own application for easy day that i we take can they that from uh from a of from the two not from model and he the the data i like this you you the data it you you you recall of from when you put on you audio how your hands a a yeah or right hand or left hand then you accommodate that and more of a can be the uh in that's in that of fate go the that they could and from forty it's of less and we have to task for left and right for left and right hand and you have to thirty T for channel can we have D for yeah sin for channel so T type time frame rate T one frequency bin from the to estimate the hot and here we had twenty four eight mister one jen before we have we have fourteen subjects and two task and we we want to five for the dominant for this data you see here because this late that have really needed spectral and temporal component using it we you our algorithm weekly this is not hand it uh nist we here and we with K by week at yeah you go to a three we see here we see here the to and in the spectrogram and to common and in them for a common of sex two gram and for common in this uh and the temporal program uh in in and not did D spectral and and is a temporal come and you see calling it because is very similar yes and we we already ready i is that lead the component this for a is at the get the yeah man "'em" and is a be that we don't i for the query less about the query less the also what for the data but you see the for the multi the F K L can of well for this they now be go the we we can see though clean near common an here a no so for the the same problem for them one look at this anyway come and that this here is not it's red well the um the coding a common and and the the the data and i L S the so and the next that we close the the easy this at six no from by on the feature we attracted by and F and the and light we see here it we with the multi that the K K with the multi that if L west it's only seventy five also so eighties seven at this a i not seventy five here and to what the i he's of yeah and with our you of the we we have ten I to but i ninety two or ninety three sending about greasy yeah so we conclude this uh present a we already propose is then the new the new and with some of that uh a between them oh component but you on the it could be a problem and we so it's ten this and want to of this row by row and we were well here some set so on so approximate or to select the number of common and to be attracted to be a that thank you