A method, comprising: processing, at a first processor of a computing device, output of a microphone, the output corresponding to a spoken utterance provided by a user to the microphone, wherein the computing device includes a second processor that is operating in a sleep mode when the spoken utterance is provided by the user; determining, at the first processor, whether the output at least partially corresponds to an invocation phrase for invoking an automated assistant that is accessible via the computing device; when the first processor determines that the output at least partially corresponds to the invocation phrase: causing, by the first processor, the second processor to transition from the sleep mode into an operating mode, providing, by the first processor and to the second processor, data that characterizes the output of the microphone, the method being characterized by determining, by the second processor and based on the data received from the first processor, a degree to which the data characterizes the invocation phrase, determining, by the second processor, an amount of wake time for the second processor to remain in the operating mode based on the degree to which the data characterizes the invocation phrase, and causing, based on determining the amount of wake time for the second processor, the second processor to operate in the operating mode for at least the amount of wake time. processing, at a first processor of a computing device, output of a microphone, the output corresponding to a spoken utterance provided by a user to the microphone, wherein the computing device includes a second processor that is operating in a sleep mode when the spoken utterance is provided by the user; determining, at the first processor, whether the output at least partially corresponds to an invocation phrase for invoking an automated assistant that is accessible via the computing device; when the first processor determines that the output at least partially corresponds to the invocation phrase: causing, by the first processor, the second processor to transition from the sleep mode into an operating mode, providing, by the first processor and to the second processor, data that characterizes the output of the microphone, causing, by the first processor, the second processor to transition from the sleep mode into an operating mode, providing, by the first processor and to the second processor, data that characterizes the output of the microphone, the method being characterized by determining, by the second processor and based on the data received from the first processor, a degree to which the data characterizes the invocation phrase, determining, by the second processor, an amount of wake time for the second processor to remain in the operating mode based on the degree to which the data characterizes the invocation phrase, and causing, based on determining the amount of wake time for the second processor, the second processor to operate in the operating mode for at least the amount of wake time. determining, by the second processor and based on the data received from the first processor, a degree to which the data characterizes the invocation phrase, determining, by the second processor, an amount of wake time for the second processor to remain in the operating mode based on the degree to which the data characterizes the invocation phrase, and causing, based on determining the amount of wake time for the second processor, the second processor to operate in the operating mode for at least the amount of wake time.