<prompt> Mokhoa oa ho khutlisetsa morao o sebetsa joang marang-rang a neural?nan  <response>: Instruction in English: How does the process of backpropagation work in neural networks? . Response in English: Backpropagation is a training algorithm for neural networks that is used for supervised learning. This algorithm uses gradient descent to minimize the error between the networks predicted output and the desired output. Backpropagation has two main phases: forward propagation and backward propagation.In forward propagation, the input data is fed into the network, and it goes through each layer until an output is generated, and then the output is compared to the desired output to calculate the error.In backward propagation, this error is then propagated backwards through the network, starting from the output layer to the input layer. Each neuron in the network receives an error signal, which is the derivative of the error with respect to the activation of that neuron. This signal is used to adjust the weights and biases of the neural network, which allows the network to learn the mapping from the input to the correct output.To summarize, the process of backpropagation involves the following steps:1. A forward pass through the network to calculate the output 2. Calculation of the error between the predicted output and the desired output 3. Propagation of the error backwards through the network 4. Adjustment of the weights and biases in each layer using gradient descent This process is repeated for multiple iterations until the error is minimized, and the network is considered to have learned the mapping from the input to the output. . Response in Sesotho: Backpropagation ke algorithm ea koetliso bakeng sa marang-rang a neural a sebelisetsoang thuto e hlokometsoeng. Algorithm ena e sebelisa gradient descent ho fokotsa phoso lipakeng tsa sephetho se boletsoeng esale pele sa marang-rang le tlhahiso e lakatsehang. Phatlalatso ea morao e na le mekhahlelo e meli e meholo: ho phatlalatsa pele le ho khutlela morao. Ha ho phatlalatsoa pele, data ea ho kenya e kenngoa marang-rang, me e feta lera ka leng ho fihlela tlhahiso e hlahisoa, ebe tlhahiso e bapisoa le tlhahiso e lakatsehang ho bala phoso. Ho phatlalatsoa ka morao, phoso ena e phatlalalitsoe morao ka marang-rang, ho qala ho tloha karolong e hlahisoang ho ea ho lera la ho kenya. Neuron e ngoe le e ngoe e teng marang-rang e fumana letšoao la phoso, e leng motso oa phoso mabapi le tsebetso ea neuron eo. Letšoao lena le sebelisetsoa ho lokisa litekanyo le litšekamelo tsa marang-rang a marang-rang, e leng se lumellang marang-rang ho ithuta mapa ho tloha ho kenya letsoho ho ea ho sehlahisoa se nepahetseng. Ho akaretsa, mokhoa oa ho khutlisetsa morao o kenyelletsa mehato e latelang: 1. Ho fetela pele ho marang-rang ho bala tlhahiso 2. Palo ea phoso pakeng tsa tlhahiso e boletsoeng esale pele le tlhahiso e lakatsehang 3. Phatlalatso ea phoso morao ka marang-rang 4. Ho lokisoa ha litekanyo le litšekamelo karolong e ngoe le e ngoe ho sebelisoa ho theoha ha gradient Tsebetso ena e phetoa ka makhetlo a mangata ho fihlela phoso e fokotsehile, me marang-rang a nkoa a ithutile mapa ho tloha ho kenya letsoho ho ea ho sehlahisoa. 