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+#The Nerv Layer Package#
+Part of the [Nerv](../README.md) toolkit.
+
+##Description##
+__nerv.Layer__ is the base class and most of its methods are abstract.
+###Class hierarchy and their members###
+* __nerv.Layer__.
+ * `table dim_in` It specifies the dimensions of the inputs.
+ * `table dim_out` It specifies the dimensions of the outputs.
+ * `string id` ID of this layer.
+ * `table gconf` Stores the `global_conf`.
+* __nerv.AffineLayer__ inherits __nerv.Layer__, both `#dim_in` and `#dim_out` are 1.
+ * `MatrixParam ltp` The liner transform parameter.
+ * `BiasParam bp` The bias parameter.
+* __nerv.BiasLayer__ inherits __nerv.Layer__, both `#dim_in` nad `#dim_out` are 1.
+ * `BiasParam bias` The bias parameter.
+* __nerv.SigmoidLayer__ inherits __nerv.Layer__, both `#dim_in` and `#dim_out` are 1.
+* __nerv.SoftmaxCELayer__ inherits __nerv.Layer__, `#dim_in` is 2 and `#dim_out` is -1(optional). `input[1]` is the input to the softmax layer, `input[2]` is the reference distribution. In its `propagate(input, output)` method, if `output[1] ~= nil`, cross\_entropy value will outputed.
+ * `float total_ce` Records the accumlated cross entropy value.
+ * `int total_frams` Records how many frames have passed.
+ * `bool compressed` The reference distribution can be a one-hot format. This feature is enabled by `layer_conf.compressed`.
+
+##Methods##
+* __void Layer.\_\_init(Layer self, string id, table global_conf, table layer_conf)__
+Abstract method.
+The constructing method should assign `id` to `self.id` and `global_conf` to `self.gconf`, `layer_conf.dim_in` to `self.dim_in`, `layer_conf.dim_out` to `self.dim_out`. `dim_in` and `dim_out` are a list specifies the dimensions of the inputs and outputs. Also, `layer_conf` will include the parameters, which should also be properly saved.
+* __void Layer.init(Layer self)__
+Abstract method.
+Initialization method, in this method the layer should do some self-checking and allocate space for intermediate results.
+* __void Layer.update(Layer self, table bp_err, table input, table output)__
+Abstract method.
+`bp_err[i]` should be the error on `output[i]`. In this method the parameters of `self` is updated.
+* __void Layer.propagate(Layer self, table input, table output)__
+Abstract method.
+Given `input` and the current parameters, propagate and store the result in `output`.
+* __void Layer.back_propagate(Layer self, Matrix next_bp_err, Matrix bp_err, Matrix input, Matrix output)__
+Abstract method.
+Calculate the error on the inputs and store them in `next_bp_err`.
+
+* __void Layer.check_dim_len(int len_in, int len_out)__
+Check whether `#self.dim_in == len_in` and `#self.dim_out == len_out`, if violated, an error will be posted.
+* __void Layer.get_params(Layer self)__
+Abstract method.
+The layer should return a list containing its parameters.
+
+####nerv.Layer.get\_dim(self)####
+* Returns:
+ `dim_in`: __table__.
+ `dim_out`: __table__.
+* Parameters:
+ `self`: __nerv.Layer__.
+* Description:
+ Returns `self.dim_in, self.dim_out`.
+
+##Examples##
+* a basic example using __Nerv__ layers to a linear classification.
+
+```
+require 'math'
+
+require 'layer.affine'
+require 'layer.softmax_ce'
+
+--[[Example using layers, a simple two-classification problem]]--
+
+function calculate_accurate(networkO, labelM)
+ sum = 0
+ for i = 0, networkO:nrow() - 1, 1 do
+ if (labelM[i][0] == 1 and networkO[i][0] >= 0.5) then
+ sum = sum + 1
+ end
+ if (labelM[i][1] == 1 and networkO[i][1] >= 0.5) then
+ sum = sum + 1
+ end
+ end
+ return sum
+end
+
+--[[begin global setting and data generation]]--
+global_conf = {lrate = 10,
+ wcost = 1e-6,
+ momentum = 0.9,
+ cumat_type = nerv.CuMatrixFloat}
+
+input_dim = 5
+data_num = 100
+ansV = nerv.CuMatrixFloat(input_dim, 1)
+for i = 0, input_dim - 1, 1 do
+ ansV[i][0] = math.random() - 0.5
+end
+ansB = math.random() - 0.5
+print('displaying ansV')
+print(ansV)
+print('displaying ansB(bias)')
+print(ansB)
+
+dataM = nerv.CuMatrixFloat(data_num, input_dim)
+for i = 0, data_num - 1, 1 do
+ for j = 0, input_dim - 1, 1 do
+ dataM[i][j] = math.random() * 2 - 1
+ end
+end
+refM = nerv.CuMatrixFloat(data_num, 1)
+refM:fill(ansB)
+refM:mul(dataM, ansV, 1, 1) --refM = dataM * ansV + ansB
+
+labelM = nerv.CuMatrixFloat(data_num, 2)
+for i = 0, data_num - 1, 1 do
+ if (refM[i][0] > 0) then
+ labelM[i][0] = 1
+ labelM[i][1] = 0
+ else
+ labelM[i][0] = 0
+ labelM[i][1] = 1
+ end
+end
+--[[global setting and data generation end]]--
+
+
+--[[begin network building]]--
+--parameters
+affineL_ltp = nerv.LinearTransParam('AffineL_ltp', global_conf)
+affineL_ltp.trans = nerv.CuMatrixFloat(input_dim, 2)
+for i = 0, input_dim - 1, 1 do
+ for j = 0, 1, 1 do
+ affineL_ltp.trans[i][j] = math.random() - 0.5
+ end
+end
+affineL_bp = nerv.BiasParam('AffineL_bp', global_conf)
+affineL_bp.trans = nerv.CuMatrixFloat(1, 2)
+for j = 0, 1, 1 do
+ affineL_bp.trans[j] = math.random() - 0.5
+end
+
+--layers
+affineL = nerv.AffineLayer('AffineL', global_conf, {['ltp'] = affineL_ltp,
+ ['bp'] = affineL_bp,
+ dim_in = {input_dim},
+ dim_out = {2}})
+softmaxL = nerv.SoftmaxCELayer('softmaxL', global_conf, {dim_in = {2, 2},
+ dim_out = {}})
+print('layers initializing...')
+affineL:init()
+softmaxL:init()
+--[[network building end]]--
+
+
+--[[begin space allocation]]--
+print('network input&output&error space allocation...')
+affineI = {dataM} --input to the network is data
+affineO = {nerv.CuMatrixFloat(data_num, 2)}
+softmaxI = {affineO[1], labelM}
+softmaxO = {}
+output = nerv.CuMatrixFloat(data_num, 2)
+
+affineE = {nerv.CuMatrixFloat(data_num, 2)}
+--[[space allocation end]]--
+
+
+--[[begin training]]--
+ce_last = 0
+for l = 0, 10, 1 do
+ affineL:propagate(affineI, affineO)
+ softmaxL:propagate(softmaxI, softmaxO)
+ output:softmax(softmaxI[1])
+
+ softmaxL:back_propagate(affineE, {}, softmaxI, softmaxO)
+
+ affineL:update(affineE, affineI, affineO)
+
+ if (l % 5 == 0) then
+ nerv.utils.printf("training iteration %d finished\n", l)
+ nerv.utils.printf("cross entropy: %.8f\n", softmaxL.total_ce - ce_last)
+ ce_last = softmaxL.total_ce
+ nerv.utils.printf("accurate labels: %d\n", calculate_accurate(output, labelM))
+ nerv.utils.printf("total frames processed: %.8f\n", softmaxL.total_frames)
+ end
+end
+--[[end training]]--
+```