3. You are eating dinner with your family over Spring break and experience a variety of sensations from your meal. You can sense whether your current dish is hot or cold. You can sense whether it is hard or soft. You can sense how salty it is. Each of these features we can rank as an intensity value on the scale between 0 and 1 Let us say there are four neurons that, together, represent the qualities heat, hardness, and saltiness As the contribution to encode the maximum value for each feature, the set of 4 neurons respond as follow: Heat Hardness Saltiness 30 Hz 0 Hz 30 Hz Neuron 1 0 Hz 10 Hz 15 Hz Neuron 2 0 Hz 30 Hz 30 Hz Neuron 3 30 Hz 10 Hz 0 Hz Neuron 4 The response of the neurons to each of the 3 features adds together to represent all 3 features simultaneously, as we did in class for the happiness, age, and harry-ness. a) what will be the response of the four neurons to watermelon-with heat of 10% of maximum, hardness of 50% of maximum, and saltiness of 0%? b) what will be the response of the four neurons to hot pumpkin soup-with heat at 100% of maximum, hardness of 30% of maximum, and saltiness of 20%? c) Let us attempt to add a brightness representation across neurons with the following response for maximum brightness of color (e.g., a bright orange carrot): Neuron 3 30 Hz Neuron 1 Neuron 2 Neuron 4 10 Hz Brightness 40 Hz 15 Hz It turns out adding this pattern will result in a "singular" code across the four neurons. The neuron population response will be the same for foods with different sets of features. Identify two sets of features that will result in the same neural response across these four neurons. 3. You are eating dinner with your family over Spring break and experience a variety of sensations from your meal. You can sense whether your current dish is hot or cold. You can sense whether it is hard or soft. You can sense how salty it is. Each of these features we can rank as an intensity value on the scale between 0 and 1 Let us say there are four neurons that, together, represent the qualities heat, hardness, and saltiness As the contribution to encode the maximum value for each feature, the set of 4 neurons respond as follow: Heat Hardness Saltiness 30 Hz 0 Hz 30 Hz Neuron 1 0 Hz 10 Hz 15 Hz Neuron 2 0 Hz 30 Hz 30 Hz Neuron 3 30 Hz 10 Hz 0 Hz Neuron 4 The response of the neurons to each of the 3 features adds together to represent all 3 features simultaneously, as we did in class for the happiness, age, and harry-ness. a) what will be the response of the four neurons to watermelon-with heat of 10% of maximum, hardness of 50% of maximum, and saltiness of 0%? b) what will be the response of the four neurons to hot pumpkin soup-with heat at 100% of maximum, hardness of 30% of maximum, and saltiness of 20%? c) Let us attempt to add a brightness representation across neurons with the following response for maximum brightness of color (e.g., a bright orange carrot): Neuron 3 30 Hz Neuron 1 Neuron 2 Neuron 4 10 Hz Brightness 40 Hz 15 Hz It turns out adding this pattern will result in a "singular" code across the four neurons. The neuron population response will be the same for foods with different sets of features. Identify two sets of features that will result in the same neural response across these four neurons