CN107145827A - Across the video camera pedestrian recognition methods again learnt based on adaptive distance metric - Google Patents

Across the video camera pedestrian recognition methods again learnt based on adaptive distance metric Download PDF

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CN107145827A
CN107145827A CN201710213901.2A CN201710213901A CN107145827A CN 107145827 A CN107145827 A CN 107145827A CN 201710213901 A CN201710213901 A CN 201710213901A CN 107145827 A CN107145827 A CN 107145827A
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于慧敏
谢奕
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Zhejiang University ZJU
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    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
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    • G06F18/241Classification techniques relating to the classification model, e.g. parametric or non-parametric approaches
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Abstract

The invention discloses a kind of across video camera pedestrian recognition methods again learnt based on adaptive distance metric, sample pair is constituted first with pedestrian's picture from different cameras in training set, constraint is provided for learning distance metric;Then the ga s safety degree according to training sample in original feature space is different samples to adaptively distributing training weight;Then use the object function for accelerating near-end gradient algorithm to adjust the distance metric learning to be solved, obtain mahalanobis distance metric matrix;The distance matrix metric for learning to obtain finally is substituted into mahalanobis distance metric function, and calculates the mahalanobis distance between test phase pedestrian picture feature vector, similitude ranking results are obtained.The present invention has taken into full account difference of the different training samples during learning distance metric, the distance metric function that study is obtained is had stronger identification, so as to reach higher across video camera pedestrian recognition accuracy again.

Description

Across the video camera pedestrian recognition methods again learnt based on adaptive distance metric
Technical field
It is specially that one kind is based on adaptive distance metric the present invention relates to a kind of method of technical field of video image processing Across the video camera pedestrian recognition methods again of study.
Background technology
Have widely to specifying target pedestrian to carry out match cognization in the camera supervised network of camera lens non-overlapping copies Application prospect, this technology is referred to as across video camera pedestrian and recognized again, and it is across video camera target following in intelligent monitor system And basis and the precondition of behavioural analysis.Due to huge commercial value, therefore across video camera pedestrian recognizes near again Of great interest and research over year.Emphasis and difficult point of across the video camera pedestrian again in Study of recognition are between video camera Illumination, visual angle difference and pedestrian attitudes vibration in itself and circumstance of occlusion change.In addition, low resolution monitor video So that the information such as face is in most cases no longer applicable.
In order to overcome above mentioned problem, Many researchers wish to design the spy high to across camera vision change robustness Levy.However, because the difference between video camera in reality scene has very strong uncertainty, there is also all changeable for the posture of pedestrian Number, finds out one and all these features for changing strong robustnesses but effectively differentiating different pedestrians is difficult to implement.Therefore, away from Across video camera pedestrian identification problem again is introduced in from metric learning.Specifically, learning distance metric will have been marked Pedestrian sample to (positive sample to representing that two pictures belong to same a group traveling together, to representing that two pictures belong to does not go together by negative sample People) as training set, by training set is closed sample to the distance between optimize, study obtain a distance metric Matrix, can project to all samples one new feature space, mutual between positive sample pair in this feature space It is in small distance, and the mutual distance between negative sample pair is larger.Such as Zheng Wei poems et al. in 2012《IEEE Transactions on Pattern Analysis and Machine Intelligence》(International Electrical and electronic engineering Shi Xiehui pattern analyses and machine intelligence journal) paper " the Reidentification by relative distance that deliver Comparison " (across the video camera pedestrian matching compared based on relative distance) obtains optimal probability using training sample study Relative distance module, and distance metric is carried out to other pictures in database with this standard.By Feature Mapping To public space, learning distance metric can solve the variability issues between different cameras to a certain extent.However, existing There is learning distance metric algorithm generally coequally to treat all samples in the training process, do not account for the difference between different samples The opposite sex.Because different samples has different ga s safety degrees on original feature space, therefore for learning distance metric Significance level is substantially different.
The content of the invention
For above-mentioned the deficiencies in the prior art, the present invention provide it is a kind of based on adaptive distance metric learn across video camera Pedestrian's recognition methods again, can according to the distribution situation on training sample original feature space to sample carry out adaptive classification and Weighting so that different samples can play different effects during learning distance metric, and identification is obtained so as to train Stronger distance metric function.
To achieve the above object, the present invention constitutes sample first with pedestrian's picture from different cameras in training set It is right, provide constraint for learning distance metric;Then it is different according to ga s safety degree of the training sample in original feature space Sample is to adaptively distributing training weight;Then the object function for accelerating near-end gradient algorithm to adjust the distance metric learning is used Solved, obtain mahalanobis distance metric matrix;The distance matrix metric for learning to obtain finally is substituted into mahalanobis distance measurement letter Number, and the mahalanobis distance between test phase pedestrian picture feature vector is calculated, obtain similitude ranking results.
The inventive method is realized by step in detail below:
Across the video camera pedestrian recognition methods again learnt based on adaptive distance metric, is comprised the following steps:
Step 1:The training data of transmission range metric learning, pedestrian's picture under different cameras is expressed as looking into Ask collectionAnd Candidate SetWhereinIt is i-th query graph The characteristic vector of piece and jth candidate's picture, andWithFor the identity label of correspondence pedestrian, n is training stage query set Picture sum, m is total for the picture of training stage Candidate Set;
Step 2:Choose the inquiry picture x in query setiWith candidate's picture y in Candidate SetjSample is constituted to (xi,yj), Be sample to distribution two tag along sort zij, wherein whenWhen zij=1, (xi,yj) it is referred to as positive sample pair, and work asWhen zij=-1, (xi,yj) it is referred to as negative sample pair;Arbitrary sample is defined to (xi,yj) between mahalanobis distance measurement Function is:
Wherein M is the distance matrix metric in mahalanobis distance;
Step 3:Using Logistic loss functions be training set in each sample to (xi,yj) set up distance metric The loss function of habit:
Wherein ξ be training set in all samples to the Euclidean distance average between characteristic vector, as (xi,yj) it is positive sample Pair when, loss function constraint mahalanobis distance dM(xi,yj) be less thanAnd work as (xi,yj) be negative sample pair when, loss function constraint horse Family name is apart from dM(xi,yj) be more than
Step 4:The loss function constraint between all samples pair in training set is considered simultaneously, defines adaptive distance metric The overall goal function of study is:
Step 5:It is the loss function ψ (x of different samples pair according to the otherness of training samplei,yj) the different instruction of distribution Practice weight wij, it is changed into the object function that adaptive distance metric learns:
Step 6:According to object function, adaptive distance metric study is defined as optimization problem:
Step 7:Using the optimization problem accelerated in near-end gradient algorithm solution procedure 6, corresponding distance metric square is obtained Battle array M;
Step 8:In test phase, for the characteristic vector x of given query template picturepWith it is suspicious under other video cameras The characteristic vector group for candidate's picture that pedestrian target is constitutedN is total for the picture of test phase Candidate Set, by distance The mahalanobis distance metric function that metric matrix M is substituted into step 2, calculates x respectivelypWith the characteristic vector of every candidate's pictureIt Between mahalanobis distanceAnd candidate's picture is ranked up according to mahalanobis distance size, make and xpMahalanobis distance compared with Small candidate's picture comes the front end of queue.
Further:The otherness according to training sample described in step 5, is the loss function ψ of different samples pair (xi,yj) the different training weight w of distributionij, the process of implementing is:
Step 5.1:For the characteristic vector x of the inquiry picture in training seti, calculate Candidate SetIn all candidate's pictures Characteristic vector and xiIn the characteristic distance of theorem in Euclid space, then the order according to distance from small to large is rightIn picture arranged Sequence;
Step 5.2:According to the ranking results in step 5.1, by Candidate SetIt is divided into for xiDifficult setMedium setAnd simple set
Difficulty setDefinition be:
In formula, ri(yj) represent candidate's picture yjPosition in the sequencing queue that step 5.1 is obtained, andThen represent xiIn Candidate SetIn correct matching y+Position in sequencing queue;
Medium setDefinition be:
Wherein m is Candidate SetThe sum of middle pedestrian's picture number, namely in step 5.1 sequencing queue total length;
Simple setDefinition be:
Step 5.3:According to Candidate Set in step 5.2Division result, be sample to (xi,yj) loss function it is adaptive Training weight w should be distributedij;As (xi,yj) be positive sample pair when, by ψ (xi,yj) training weight wijIt is set to 1/N+, wherein N+For The sum of positive sample pair in training set;And work as (xi,yj) be negative sample pair when, its loss function ψ (x are defined by following formulai,yj) Training weight wij
Wherein, N-The negative sample that weight is not zero in expression training set is to sum, β1And β2For regulation training weight change model The balance parameters enclosed.
Further:Use described in step 7 accelerates the optimization problem in near-end gradient algorithm solution procedure 6, obtains Corresponding distance matrix metric M, it specifically includes following steps:
Step 7.1:Initialize M0And M-1For unit matrix, and renewal is iterated to it;
Step 7.2:Specifically, for the t times iteration, calculate first before polymerization to matrix St
Wherein coefficient0 is set as in first time iteration;
Step 7.3:Define matrixWhereinIt is the total of learning distance metric Body object function Ψ (M) is in StThe gradient at place, ηtFor iteration step length;
Step 7.4:To matrix PtEigenvalues Decomposition is carried out, is denoted asThen to the t times iteration Distance matrix metric M be updated, obtain iteration result Mt
WhereinFor ensuring distance matrix metric MtIt is positive semi-definite;
Step 7.5:Repeat step 7.2 to 7.4, until reaching the condition of convergence:
Step 7.6:Return to M during convergencetThe training result M learnt as adaptive distance metric.
Compared with prior art, beneficial effects of the present invention are as follows:
1) present invention according to ga s safety degree of the training sample on original feature space to sample to carrying out adaptivity Classification and weighting, all training samples, this hair are coequally treated compared to existing learning distance metric technology in the training process It is bright to better profit from the otherness between training sample;
2) present invention has cast out training concentrated part primitive character by the way that the training weight of part sample pair is set into zero The negative sample easily distinguished in space, not only effectively alleviate pedestrian again in identification problem negative sample to it is excessive the problem of, also subtract The amount of calculation in training process is lacked;
3) present invention can utilize the markup information of training sample, and study obtains specific mahalanobis distance metric function, made Picture feature with a group traveling together is closer to the distance, without same pedestrian's picture characteristic distance farther out, effectively overcome different cameras Between the influence that is recognized again to across video camera pedestrian of difference.
Brief description of the drawings
Across the video camera pedestrian recognition methods overall flow signal again that Fig. 1 is learnt for the present invention based on adaptive distance metric Figure.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, below in conjunction with the accompanying drawings and specific implementation Example, is described in further detail to technical scheme.
Following examples are implemented lower premised on technical solution of the present invention, give detailed embodiment and tool The operating process of body, but protection scope of the present invention is not limited to following embodiments.
Embodiment
The present embodiment is regarded by the pedestrian that will occur in video camera A as target, and with video camera A in the absence of overlapping Find and the most like suspicious pedestrian's object of pedestrian target, recognized again with completing across video camera pedestrian in the video camera B in domain, at this In the embodiment of invention, this method comprises the following steps:
Step 1:The training data of transmission range metric learning, the pedestrian's picture set occurred in video camera A is defined For query setAnd by the pedestrian's picture set Candidate Set occurred in video camera BWhereinIt is the characteristic vector of i-th inquiry picture and jth candidate's picture, andWithFor the identity label of correspondence pedestrian.N is the picture sum of training stage query set, and m is the figure of training stage Candidate Set Piece sum;
Step 2:Choose the inquiry picture x in query setiWith candidate's picture y in Candidate SetjSample is constituted to (xi,yj), Be sample to distribution two tag along sort zij, wherein whenWhen zij=1, (xi,yj) it is referred to as positive sample pair, and work asWhen zij=-1, (xi,yj) it is referred to as negative sample pair.Arbitrary sample is defined to (xi,yj) between mahalanobis distance measurement Function is:
Wherein M is the distance matrix metric in mahalanobis distance.
Step 3:Using Logistic loss functions be training set in each sample to (xi,yj) set up distance metric The loss function of habit:
Wherein ξ is all samples in training set to the Euclidean distance average between characteristic vector.As (xi,yj) it is positive sample Pair when, loss function constraint mahalanobis distance dM(xi,yj) be less thanAnd work as (xi,yj) be negative sample pair when, loss function constraint horse Family name is apart from dM(xi,yj) be more than
Step 4:The loss function constraint between all samples pair in training set is considered simultaneously, defines adaptive distance metric The overall goal function of study is:
Step 5:It is the loss function ψ (x of different samples pair according to the otherness of training samplei,yj) the different instruction of distribution Practice weight wij, it is changed into the object function that adaptive distance metric learns:
In the present embodiment, the otherness according to training sample described in step 5, is the loss function ψ of different samples pair (xi,yj) the different training weight w of distributionij, it is as follows that it implements process:
Step 5.1:For the characteristic vector x of the inquiry picture in training seti, calculate Candidate SetIn all candidate's pictures Characteristic vector and xiIn the characteristic distance of theorem in Euclid space, then the order according to distance from small to large is rightIn picture arranged Sequence;
Step 5.2:According to the ranking results in step 5.1, by Candidate SetIt is divided into for xiDifficult setMedium setAnd simple set
Difficulty setDefinition be:
In formula, ri(yj) represent candidate's picture yjPosition in the sequencing queue that step 5.1 is obtained, andThen represent xiIn Candidate SetIn correct matching y+Position in sequencing queue.
Medium setDefinition be:
Wherein m is Candidate SetThe sum of middle pedestrian's picture number, namely in step 5.1 sequencing queue total length.
Simple setDefinition be:
Step 5.3:According to Candidate Set in step 5.2Division result, be sample to (xi,yj) loss function it is adaptive Training weight w should be distributedij.As (xi,yj) be positive sample pair when, by ψ (xi,yj) training weight wijIt is set to 1/N+, wherein N+For The sum of positive sample pair in training set.And work as (xi,yj) be negative sample pair when, its loss function ψ (x are defined by following formulai,yj) Training weight wij
Wherein, N-The negative sample that weight is not zero in expression training set is to sum, β1And β2For regulation training weight change model The balance parameters enclosed, in the present embodiment β1=0.75 and β2=0.25.
Step 6:According to object function, adaptive distance metric study is defined as optimization problem:
Step 7:Using the optimization problem accelerated in near-end gradient algorithm solution procedure 6, corresponding distance metric square is obtained Battle array M.
In the present embodiment, the use described in step 7 accelerates the optimization problem in near-end gradient algorithm solution procedure 6, Corresponding distance matrix metric M is obtained, it is as follows that it implements step:
Step 7.1:Initialize M0And M-1For unit matrix, and renewal is iterated to it;
Step 7.2:Specifically, for the t times iteration, calculate first before polymerization to matrix St
Wherein coefficient0 is set as in first time iteration;
Step 7.3:Define matrixWhereinIt is the mesh of learning distance metric Scalar functions Ψ (M) is in StThe gradient at place, ηtFor iteration step length;In the present embodiment, ηt2 are initialized in each iteration8, And check whether following condition meets:
Wherein<·,·>The inner product of representing matrix, | | | |FThe Frobenius norms of representing matrix, when the bar in above formula When part is met, η is usedtIt is used as iteration step length;Otherwise η is usedt/ 2 replace ηt, until condition is met;
Step 7.4:To matrix PtEigenvalues Decomposition is carried out, is denoted asThen to the t times repeatedly The distance matrix metric M in generation is updated, and obtains iteration result Mt
WhereinFor ensuring distance matrix metric MtIt is positive semi-definite;
Step 7.5:Repeat step 7.2 to 7.4, until reaching the condition of convergence:
Step 7.6:Return to M during convergencetThe training result M learnt as adaptive distance metric.
Step 8:After distance matrix metric M is obtained, for any pedestrian target Prototype drawing occurred in video camera A Piece, extracts its characteristic vector xp, while the unknown pedestrian's picture set of the identity occurred in video camera B is defined as into candidate Collection, extracts the characteristic vector of every candidate's picture, composition characteristic Vector GroupsN is total for the picture of test phase Candidate Set Number.The mahalanobis distance metric function that the distance matrix metric M tried to achieve in step 7 is substituted into step 2, calculates x respectivelypWith every The characteristic vector of candidate's pictureBetween mahalanobis distanceAnd candidate's picture is entered according to mahalanobis distance size Row sequence, makes and xpThe less candidate's picture of mahalanobis distance comes the front end of queue.Finally, more forward candidate's picture is sorted more It is likely to be correct matching of the pedestrian target in video camera B.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention Any modifications, equivalent substitutions and improvements made within refreshing and principle etc., should be included in the scope of the protection.

Claims (3)

1. a kind of across video camera pedestrian recognition methods again learnt based on adaptive distance metric, it is characterised in that including following step Suddenly:
Step 1:The training data of transmission range metric learning, query set is expressed as by pedestrian's picture under different camerasAnd Candidate SetWhereinBe i-th inquiry picture and The characteristic vector of jth candidate's picture, andWithFor the identity label of correspondence pedestrian, n is the picture of training stage query set Sum, m is total for the picture of training stage Candidate Set;
Step 2:Choose the inquiry picture x in query setiWith candidate's picture y in Candidate SetjSample is constituted to (xi,yj), it is sample This is to two tag along sort z of distributionij, wherein whenWhen zij=1, (xi,yj) it is referred to as positive sample pair, and work asWhen zij=-1, (xi,yj) it is referred to as negative sample pair;Arbitrary sample is defined to (xi,yj) between mahalanobis distance metric function be:
<mrow> <msub> <mi>d</mi> <mi>M</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mo>|</mo> <mo>|</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>|</mo> <msubsup> <mo>|</mo> <mi>M</mi> <mn>2</mn> </msubsup> <mo>=</mo> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mi>T</mi> </msup> <mi>M</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> </mrow>
Wherein M is the distance matrix metric in mahalanobis distance;
Step 3:Using Logistic loss functions be training set in each sample to (xi,yj) set up learning distance metric Loss function:
<mrow> <mi>&amp;psi;</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <msup> <mi>e</mi> <mrow> <msub> <mi>z</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <msub> <mi>d</mi> <mi>M</mi> </msub> <mo>(</mo> <mrow> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mi>&amp;xi;</mi> <mo>)</mo> </mrow> </mrow> </msup> <mo>)</mo> </mrow> </mrow>
Wherein ξ be training set in all samples to the Euclidean distance average between characteristic vector, as (xi,yj) be positive sample pair when, Loss function constraint mahalanobis distance dM(xi,yj) it is less than ξ;And work as (xi,yj) be negative sample pair when, loss function constraint mahalanobis distance dM(xi,yj) it is more than ξ;
Step 4:The loss function constraint between all samples pair in training set is considered simultaneously, defines adaptive distance metric study Overall goal function be:
<mrow> <mi>&amp;Psi;</mi> <mrow> <mo>(</mo> <mi>M</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </msubsup> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </msubsup> <mi>&amp;psi;</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> </mrow>
Step 5:It is the loss function ψ (x of different samples pair according to the otherness of training samplei,yj) the different training power of distribution Weight wij, it is changed into the object function that adaptive distance metric learns:
<mrow> <mi>&amp;Psi;</mi> <mrow> <mo>(</mo> <mi>M</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </msubsup> <msubsup> <mi>&amp;Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </msubsup> <msub> <mi>w</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>&amp;CenterDot;</mo> <mi>&amp;psi;</mi> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> </mrow>
Step 6:According to object function, adaptive distance metric study is defined as optimization problem:
<mrow> <munder> <mi>min</mi> <mi>M</mi> </munder> <mi>&amp;Psi;</mi> <mrow> <mo>(</mo> <mi>M</mi> <mo>)</mo> </mrow> <mo>,</mo> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> <mi>M</mi> <mo>&amp;GreaterEqual;</mo> <mn>0</mn> </mrow>
Step 7:Using the optimization problem accelerated in near-end gradient algorithm solution procedure 6, corresponding distance matrix metric M is obtained;
Step 8:In test phase, for the characteristic vector x of given query template picturepWith suspicious pedestrian under other video cameras The characteristic vector group of candidate's picture of target configurationN is total for the picture of test phase Candidate Set, by distance metric The mahalanobis distance metric function that matrix M is substituted into step 2, calculates x respectivelypWith the characteristic vector of every candidate's pictureBetween Mahalanobis distanceAnd candidate's picture is ranked up according to mahalanobis distance size, make and xpMahalanobis distance is less Candidate's picture comes the front end of queue.
2. a kind of across video camera pedestrian recognition methods again learnt based on adaptive distance metric according to claim 1, It is characterized in that:The otherness according to training sample described in step 5, is the loss function ψ (x of different samples pairi,yj) point With different training weight wij, the process of implementing is:
Step 5.1:For the characteristic vector x of the inquiry picture in training seti, calculate Candidate SetIn all candidate's picture features Vector and xiIn the characteristic distance of theorem in Euclid space, then the order according to distance from small to large is rightIn picture be ranked up;
Step 5.2:According to the ranking results in step 5.1, by Candidate SetIt is divided into for xiDifficult setIn Deng setAnd simple set
Difficulty setDefinition be:
In formula, ri(yj) represent candidate's picture yjPosition in the sequencing queue that step 5.1 is obtained, andThen represent xi Candidate SetIn correct matching y+Position in sequencing queue;
Medium setDefinition be:
Wherein m is Candidate SetThe sum of middle pedestrian's picture number, namely in step 5.1 sequencing queue total length;
Simple setDefinition be:
Step 5.3:According to Candidate Set in step 5.2Division result, be sample to (xi,yj) loss function adaptively divide With training weight wij;As (xi,yj) be positive sample pair when, by ψ (xi,yj) training weight wijIt is set to 1/N+, wherein N+For training Concentrate the sum of positive sample pair;And work as (xi,yj) be negative sample pair when, its loss function ψ (x are defined by following formulai,yj) instruction Practice weight wij
Wherein, N-The negative sample that weight is not zero in expression training set is to sum, β1And β2For regulation training weight excursion Balance parameters.
3. a kind of across video camera pedestrian recognition methods again learnt based on adaptive distance metric according to claim 1, It is characterized in that:Use described in step 7 accelerates the optimization problem in near-end gradient algorithm solution procedure 6, obtains corresponding Distance matrix metric M, it specifically includes following steps:
Step 7.1:Initialize M0And M-1For unit matrix, and renewal is iterated to it;
Step 7.2:Specifically, for the t times iteration, calculate first before polymerization to matrix st
<mrow> <msub> <mi>S</mi> <mi>t</mi> </msub> <mo>=</mo> <msub> <mi>M</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;alpha;</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <mn>1</mn> </mrow> <msub> <mi>&amp;alpha;</mi> <mi>t</mi> </msub> </mfrac> <mrow> <mo>(</mo> <msub> <mi>M</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>M</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> </mrow> 2
Wherein coefficient0 is set as in first time iteration;
Step 7.3:Define matrixWhereinIt is the overall mesh of learning distance metric Scalar functions Ψ (M) is in stThe gradient at place, ηtFor iteration step length;
Step 7.4:To matrix PtEigenvalues Decomposition is carried out, is denoted asThen to the t times iteration away from It is updated from metric matrix M, obtains iteration result Mt
<mrow> <msub> <mi>M</mi> <mi>t</mi> </msub> <mo>=</mo> <msub> <mi>U</mi> <mi>t</mi> </msub> <msubsup> <mi>&amp;Lambda;</mi> <mi>t</mi> <mo>+</mo> </msubsup> <msubsup> <mi>U</mi> <mi>t</mi> <mi>T</mi> </msubsup> </mrow>
WhereinFor ensuring distance matrix metric MtIt is positive semi-definite;
Step 7.5:Repeat step 7.2 to 7.4, until reaching the condition of convergence:
<mrow> <mfrac> <mrow> <mo>|</mo> <mi>&amp;Psi;</mi> <mrow> <mo>(</mo> <msub> <mi>M</mi> <mi>t</mi> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mi>&amp;Psi;</mi> <mrow> <mo>(</mo> <msub> <mi>M</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>|</mo> </mrow> <mrow> <mo>|</mo> <mi>&amp;Psi;</mi> <mrow> <mo>(</mo> <msub> <mi>M</mi> <mrow> <mi>t</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>|</mo> </mrow> </mfrac> <mo>&amp;le;</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> </mrow>
Step 7.6:Return to M during convergencetThe training result M learnt as adaptive distance metric.
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