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Self-adjoint eigen decomposition was not successful. The input might not be valid(Tensorflow×Ô°éÌØÕ÷·Ö½â²»³É¹¦£¬ÊäÈë¿ÉÄÜÎÞЧ)

def cca_loss(outdim_size, use_all_singular_values):
    def inner_cca_objective(y_true, y_pred):
        r1 = 1e-4
        r2 = 1e-4
        eps = 1e-12
        print("y_pred:",y_pred.shape[1])
        o1 = o2 = int(y_pred.shape[1] // 2)
        print(y_pred)
        print("aaaa",o1,o2)
        # unpack (separate) the output of networks for view 1 and view 2
        H1 = tf.transpose(y_pred[:, 01])
        H2 = tf.transpose(y_pred[:, o11 + o2])
        m = tf.shape(H1)[1]
        H1bar = H1 - tf.cast(tf.divide(1, m), tf.float32) * tf.matmul(H1, tf.ones([m, m]))
        H2bar = H2 - tf.cast(tf.divide(1, m), tf.float32) * tf.matmul(H2, tf.ones([m, m]))
        SigmaHat12 = tf.cast(tf.divide(1, m - 1), tf.float32) * tf.matmul(H1bar, H2bar, transpose_b=True)  # [dim, dim]
        SigmaHat11 = tf.cast(tf.divide(1, m - 1), tf.float32) * tf.matmul(H1bar, H1bar, transpose_b=True) + r1 * tf.eye(
            o1)
        SigmaHat22 = tf.cast(tf.divide(1, m - 1), tf.float32) * tf.matmul(H2bar, H2bar, transpose_b=True) + r2 * tf.eye(
            o2)
        D1, V1 = tf.self_adjoint_eig(SigmaHat11) #ÇóÌØÕ÷Öµ  ÌØÕ÷ÏòÁ¿
        D2, V2 = tf.self_adjoint_eig(SigmaHat22)  # Added to increase stability
        posInd1 = tf.where(tf.greater(D1, eps))
        D1 = tf.gather_nd(D1, posInd1)  # get eigen values that are larger than eps  Ñ¡³ö´óÓÚepsµÄÌØÕ÷Öµ
        V1 = tf.transpose(tf.nn.embedding_lookup(tf.transpose(V1), tf.squeeze(posInd1)))
        posInd2 = tf.where(tf.greater(D2, eps))
        D2 = tf.gather_nd(D2, posInd2)
        V2 = tf.transpose(tf.nn.embedding_lookup(tf.transpose(V2), tf.squeeze(posInd2)))

        SigmaHat11RootInv = tf.matmul(tf.matmul(V1, tf.diag(D1 ** -0.5)), V1, transpose_b=True)  # [dim, dim]
        SigmaHat22RootInv = tf.matmul(tf.matmul(V2, tf.diag(D2 ** -0.5)), V2, transpose_b=True)

        Tval = tf.matmul(tf.matmul(SigmaHat11RootInv, SigmaHat12), SigmaHat22RootInv)

        print("use_all_singular_values",use_all_singular_values)
        if use_all_singular_values:
            corr = tf.sqrt(tf.trace(tf.matmul(Tval, Tval, transpose_a=True)))
        else:
            [U, V] = tf.self_adjoint_eig(tf.matmul(Tval, Tval, transpose_a=True))
            U = tf.gather_nd(U, tf.where(tf.greater(U, eps)))
            kk = tf.reshape(tf.cast(tf.shape(U), tf.int32), [])
            K = tf.minimum(kk, outdim_size)
            w, _ = tf.nn.top_k(U, k=K)
            corr = tf.reduce_sum(tf.sqrt(w))

        print("corr:",corr)
        return -corr

    return inner_cca_objective
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