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Performance indexes.md", "().md", "a.md", diff --git a/Autonomous Networking/notes/6 Internet of Things.md b/Autonomous Networking/notes/6 Internet of Things.md index 419e9ce..4fb5850 100644 --- a/Autonomous Networking/notes/6 Internet of Things.md +++ b/Autonomous Networking/notes/6 Internet of Things.md @@ -1,7 +1,7 @@ IoT term is used to refer to - the resulting globlal network of connecting smart objects -- the protocols ... -- ... +- technologies needed to realize such a vision +- applications and services leveraging such technologies required features: - devices hetereogeneity @@ -9,6 +9,11 @@ required features: - data ubiquitous data exchange - energy-optimized solutions +key features: +- localization and tracking (many applications require position and movement tracking) +- self-organization capabilities (support ad-hoc networks) +- semantic interoperability (standard formats for data) +- embedded security and privacy-preserving mechanism #### Backscattering - allows devices to run without battery @@ -16,7 +21,7 @@ required features: - use radio frequency signals as power source - two types - ambient - - rfid + - RFID ##### Ambient backscattering - devices harvest power from signals available in the environment @@ -29,13 +34,12 @@ required features: - signal may not be available indoor or not powerful enough ##### RFID backscattering - -... - +- main advantage is the availability of RFID signal. Reader is always present in a RFID ##### Battery free smart home - in a smart home there may be a lot of smart devices - if every one of them has a battery, it's not good for the environment - we can deploy an RFID reader with multiple antennas that covers all the different rooms +- of course RFID sensors can have very low capabilities, but they can run sensors! ### Communication add scheme slide diff --git a/Autonomous Networking/notes/6.1 RL.md b/Autonomous Networking/notes/6.1 RL.md deleted file mode 100644 index 5889544..0000000 --- a/Autonomous Networking/notes/6.1 RL.md +++ /dev/null @@ -1,122 +0,0 @@ -Case study: battery-free smart home -- each device produces a new data sample with a rate that depends on the environment and the user (continuously, event based / on demand...) -- a device should only transmit when it has new data - - but in backscattering-based networks they need to be queried by the receiver - -In which order should the reader query tags? -- assume prefixed timeslots -- TDMA with random access performs poorly -- TDMA with fixed assignment also does (wasted queries) -- we want to query devices that have new data samples and avoid - - data loss - - redundant queries - -Goal: design a mac protocol that adapts to all of this. -One possibility is to use Reinforcement Learning - -#### Reinforcement learning -How can an intelligent agent learns to make a good sequence of decisions - -- an agent can figure out how the world works by trying things and see what happens -- is what people and animals do -- we explore a computational approach to learning from interaction - - goal-directed learning from interaction - -RL is learning what to do, it presents two main characteristics: -- trial and error search -- delayed reward - -- sensation, action and goal are the 3 main aspects of a reinforcement learning method -- a learning agents must be able to - - sense the state of the environment - - take actions that affects the state - -Difference from other ML -- no supervisor -- feedback may be delayed -- time matters -- agent action affects future decisions -- ... -- online learning - -Learning online -- learning while interacting with an ever changing world -- we expect agents to get things wrong, to refine their understanding as they go -- the world is not static, agents continuously encounter new situations - -RL applications: -- self driving cars -- engineering -- healthcare -- news recommendation -- ... - -Rewards -- a reward is a scalar feedback signal (a number) -- reward Rt indicates how well the agent is doing at step t -- the agent should maximize cumulative reward - -RL based on the reward hypotesis -all goals can be described by the maximization of expected cumulative rewards - -communication in battery free environments -- positive rewards if the queried device has new data -- else negative - -Challenge: -- tradeoff between exploration and exploitation -- to obtain a lot of reward a RL agent must prefer action that it tried and ... -- ... - -exploration vs exploitation dilemma: -- comes from incomplete information: we need to gather enough information to make best overall decisions while keeping the risk under control -- exploitation: we take advanced of the best option we know -- exploration: test new decisions - -### A general RL framework -at each timestamp the agent -- executes action -- receives observation -- receives scalar reward - -the environment -... - -agent state: the view of the agent on the environment state, is a function of history -- the function of the history is involved in taking the next decision -- the state representation defines what happens next -- ... - -#### Inside the agent -one or more of these components -- **Policy:** agent's behavior function - - defines what to do (behavior at a given time) - - maps state to action - - core of the RL agent - - the policy is altered based on the reward - - may be - - deterministic: single function of the state - - stochastic: specifying probabilities for each actions - - reward changes probabilities -- **Value function:** - - specifies what's good in the long run - - is a prediction of future reward - - used to evaluate the goodness/badness of states - - values are prediction of rewards - - Vp(s) = Ep[yRt+1 + y^2Rt+2 ... | St = s] -- **Model:** - - predicts what the environment will do next - - many problems are model free - -back to the original problem: -- n devices -- each devices produces new data with rate_i -- in which order should the reader query tags? -- formulate as an RL problem - - agent is the reder - - one action per device (query) - - rewards: - - positive when querying a device with new data - - negative if it has no data - - what to do if the device has lost data? - - state? \ No newline at end of file diff --git a/Autonomous Networking/notes/7 RL.md b/Autonomous Networking/notes/7 RL.md new file mode 100644 index 0000000..606f7a2 --- /dev/null +++ b/Autonomous Networking/notes/7 RL.md @@ -0,0 +1,225 @@ +Case study: battery-free smart home +- each device produces a new data sample with a rate that depends on the environment and the user (continuously, event based / on demand...) +- a device should only transmit when it has new data + - but in backscattering-based networks they need to be queried by the receiver + +In which order should the reader query tags? +- assume prefixed time slots +- TDMA with random access performs poorly +- TDMA with fixed assignment also does (wasted queries) +- we want to query devices that have new data samples and avoid + - data loss + - redundant queries + +Goal: design a mac protocol that adapts to all of this. +One possibility is to use Reinforcement Learning + +#### Reinforcement learning +How can an intelligent agent learns to make a good sequence of decisions + +- an agent can figure out how the world works by trying things and see what happens +- is what people and animals do +- we explore a computational approach to learning from interaction + - goal-directed learning from interaction + +RL is learning what to do, it presents two main characteristics: +- trial and error search +- delayed reward + +- sensation, action and goal are the 3 main aspects of a reinforcement learning method +- a learning agents must be able to + - sense the state of the environment + - take actions that affects the state + +Difference from other ML +- no supervisor +- feedback may be delayed +- time matters +- agent action affects future decisions +- a sequence of successful decisions will result in the process being reinforced +- RL learns online + +Learning online +- learning while interacting with an ever changing world +- we expect agents to get things wrong, to refine their understanding as they go +- the world is not static, agents continuously encounter new situations + +RL applications: +- self driving cars +- engineering +- healthcare +- news recommendation +- ... + +Rewards +- a reward is a scalar feedback signal (a number) +- reward Rt indicates how well the agent is doing at step t +- the agent should maximize cumulative reward + +RL based on the reward hypotesis +all goals can be described by the maximization of expected cumulative rewards + +communication in battery free environments +- positive rewards if the queried device has new data +- else negative + +Challenge: +- tradeoff between exploration and exploitation +- to obtain a lot of reward a RL agent must prefer action that it tried in the past +- but better actions may exist... So the agent has to exploit! + +exploration vs exploitation dilemma: +- comes from incomplete information: we need to gather enough information to make best overall decisions while keeping the risk under control +- exploitation: we take advanced of the best option we know +- exploration: test new decisions + +### A general RL framework +**at each timestamp the agent:** +- executes action At +- receives observation Ot +- receives scalar reward Rt + +**the environment:** +- receives action At +- emits observation Ot +- emits scalar reward Rt + + + +**agent state:** the view of the agent on the environment state, is a function of history +- the function of the history is involved in taking the next decision +- the state representation defines what happens next +- ... + +#### Inside the agent +one or more of these components +- **Policy:** agent's behavior function + - defines what to do (behavior at a given time) + - maps state to action + - core of the RL agent + - the policy is altered based on the reward + - may be + - deterministic: single function of the state + - stochastic: specifying probabilities for each actions + - reward changes probabilities +- **Value function:** + - specifies what's good in the long run + - is a prediction of future reward + - used to evaluate the goodness/badness of states + - values are prediction of rewards + - Vp(s) = Ep[yRt+1 + y^2Rt+2 ... | St = s] +- **Model:** + - predicts what the environment will do next + - many problems are model free + +back to the original problem: +- n devices +- each devices produces new data with rate_i +- in which order should the reader query tags? +- formulate as an RL problem + - agent is the reder + - one action per device (query) + - rewards: + - positive when querying a device with new data + - negative if it has no data + - what to do if the device has lost data? + - state? + + +### Exploration vs exploitation trade-off +- Rewards evaluate actions taken +- evaluative feedback depends on the action taken +- no active exploration + +Let's consider a simplified version of an RL problem: K-armed bandit problem. +- K different options +- every time need to chose one +- maximize expected total reward over some time period +- analogy with slot machines + - the levers are the actions + - which level gives the highest reward? +- Formalization + - set of actions A (or "arms") + - reward function R that follows an unknown probability distributions + - only one state + - ... + +Example: doctor treatment +- doctor has 3 treatments (actions), each of them has a reward. +- for the doctor to decide which action to take is best, we must define the value of taking each action +- we call these values the action values (or action value function) +- action value: ... + +Each action has a reward defined by a probability distribution. +- the red treatment has a bernoulli probability +- the yellow treatment binomial +- the blue uniform +- the agent does not know the distributions! +- the estimated action for action a is the sum of rewards observed divided by the total time the action has been taken (add formula ...) + - 1predicate denotes the random variable (1 if true else 0) + +- greedy action: + - doctors assign the treatment they currently think is the best + - ... + - the greedy action is computed as the argmax of Q values + - greedy always exploits current knowledge +- epsilon-greedy: + - with a probability epsilon sometimes we explore + - 1-eps probability: we chose best greedy action + - eps probability: we chose random action + +exercises ... + +exercise 2: k-armed bandit problem. +K = 4 actions, denoted 1,2,3 and 4 +eps-greedy selection +initial Q estimantes = 0 for all a. + +Initial sequenze of actions and rewards is: +A1 = 1 R1 = 1 +A2 = 2 R2 = 2 +A3 = 2 R3 = 2 +A4 = 2 R4 = 2 +A5 = 3 R5 = 0 + +--- +step A1: action 1 selected. Q of action 1 is 1 +step A2: action 2 selected. Q(1) = 1, Q(2) = 1 +step A3: action 2 selected. Q(1) = 2, Q(2) = 1.5 +step A4: action 2. Q(1) = 1, Q(2) = 1.6 +step A5: action 3. Q(1) = 1, Q(2) = 1.6, Q(3) = 0 + +For sure A2 and A5 are epsilon cases, system didn't chose the one with highest Q value. +A3 and A4 can be both greedy and epsilon case. + +#### Incremental formula to estimate action-value +- to simplify notation we concentrate on a single action +- Ri denotes the reward received after the i(th) selection of this action. Qn denotes the estimate of its action value after it has been selected n-1 times (add Qn formula ...) +- given Qn and the reward Rn, the new average of rewards can be computed by (add formula with simplifications...) $Q_(n+1) = Q_{n} + \frac{1}{n}[Rn - Qn]$ + - NewEstimate <- OldEstimate + StepSize (Target - OldEstimate) + - Target - OldEstimate is the error + +Pseudocode for bandit algorithm: +``` +Initialize for a = 1 to k: + Q(a) = 0 + N(a) = 0 +Loop forever: + with probability 1-eps: + A = argmax_a(Q(a)) + else: + A = random action + R = bandit(A) # returns the reward of the action A + N(A) = N(A) + 1 + Q(A) = Q(A) + 1\N(A) * (R - Q(A)) +``` + +Nonstationary problem: rewards probabilities change over time. +- in the doctor example, a treatment may not be good in all conditions +- the agent (doctor) is unaware of the changes, he would like to adapt to it + +An option is to use a fixed step size. We remove the 1/n factor and add an $\alpha$ constant factor between 0 and 1. +And we get $Q_{n+1} = (1-\alpha)^{n}Q_1 + \sum_{i=1}^{n}{\alpha(1 - \alpha)^{(n-1)} R_i}$ + + +... 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