# Evolutionary Design of Convolutional Neural Networks for Human Activity Recognition in Sensor-Rich Environments

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Convolutional Neural Networks

#### 2.1. Convolutional Layers

#### 2.2. Pooling

#### 2.3. Dense and Recurrent Layers

#### 2.4. Learning Rules

## 3. Related Work in Neuroevolution

**Var. Ly.**: whether the proposal supports a variable number of layers (either convolutional, fully-connected, recurrent, etc.).**Conv.**: whether the proposal evolves the convolutional layers or some of their parameters.**FC**: whether the proposal evolves fully-connected layers or some of their parameters.**Rec.**: whether the proposal observes the inclusion of recurrent layers or LSTM cells.**Act. Fn.**: whether the proposal evolves the activation function instead of hardcoding it.**Opt. HP**: whether the proposal supports the evolution of optimization hyperparameters (learning rate, momentum, batch size, etc.).**Ens.**: whether the proposal supports the construction of an ensemble of neural networks.**W**: whether the proposal evolves the weights of the network.

## 4. Human Activity Recognition

#### 4.1. OPPORTUNITY Dataset

- Start: lie in the deckchair and then get up.
- Groom: move across the room, checking that objects are in the right drawers and shelves.
- Relax: go outside and walk around the building.
- Prepare coffee: use the coffeemaker to prepare coffee with milk (in the fridge) and sugar.
- Drink coffee: take coffee sips naturally.
- Prepare sandwich: made of bread, cheese and salami and using the bread cutter along with various knifes and plates.
- Eat the sandwich.
- Cleanup: clean the table, store objects back in their place or in the dish washer.
- Break: lie on the deckchair.

- Open and close the fridge.
- Open and close the dishwasher.
- Open and close 3 drawers at different heights.
- Open and close door 1.
- Open and close door 2.
- Turn on and off the lights.
- Clean table.
- Drink while standing.
- Drink while sitting.

#### 4.2. OPPORTUNITY Challenge and State-of-the-Art Results

- Training set: comprises all ADL and drill sessions for subject 1 and ADL1, ADL2, and drill sessions for subjects 2 and 3.
- Test set: comprises ADL4 and ADL5 for subjects 2 and 3.

## 5. Neuroevolution for Human Activity Recognition

#### 5.1. Preprocessing

#### 5.2. Grammatical Evolution of CNNs

- Tournament selection, with tournament size $\tau $. The individual with the highest fitness wins the tournament.
- Single-point crossover: in GE, the reproduction will be performed using only one point for crossover, and will occur with a probability of $\beta $. If crossover does not occur, then parents will be present in the following population. Crossover is forced to occur within the subsequences of the chromosomes that are actually used, thus guaranteeing that the crossover has an effective impact in the phenotype.
- Integer-flipping mutation, with a mutation rate of $\alpha $. The old integer will be replaced by a new random integer. All individuals are mutated, with the sole exception of elite individuals. Mutation also affects the parents that are not crossed and are passed to the next generation. None, one, or more than one positions can be mutated, depending on the value of $\alpha $.
- Elitism of size e. It must be noted that elite individuals are chosen based on the nominal fitness rather than the adjusted fitness.

## 6. Evaluation

#### 6.1. Experimental Setup

#### 6.2. Results and Discussion

## 7. Conclusions and Future Work

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## Abbreviations

BNF | Backus-Naur Form |

CNN | Convolutional Neural Network |

GA | Genetic Algorithm |

GE | Grammatical Evolution |

GRU | Gated Recurrent Unit |

LSTM | Long Short-Term Memory |

ReLU | Rectified Linear Unit |

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**Figure 5.**Boxplot showing the distribution of F1 scores of the best 20 GE individuals after full training in OPPORTUNITY Gestures.

**Figure 6.**Evolution of the F1 scores of the incremental ensembles using the best 20 individuals from the GE with OPPORTUNITY Gestures.

**Table 1.**Brief comparison of the features of our neuroevolutionary system with related works. Works marked with a dagger (†) do not use evolutionary computation, but rather reinforcement learning. The comparison criteria include whether the proposal supports a variable number of layers (Var. Ly.), and whether it evolves convolutional layers (Conv.), fully-connected layers (FC), recurrent layers (Rec.) or some of their hyper-parameters, activation functions (Act. Fn.), optimization hyperparameters (Opt. HP), ensembles of neural networks (Ens.) or weights (W). CoSyNE: cooperative synapse neuroevolution; NEAT: neuroevolution of augmenting topologies; CMA-ES: covariance matrix adaption evolution strategy; GA: genetic algorithm; GP: genetic programming; CGP: cartesian genetic programming; RL: reinforcement learning; GE: grammatical evolution.

Work | Technique | Var. Ly. | Conv. | FC | Rec. | Act. Fn. | Opt. HP | Ens. | W |
---|---|---|---|---|---|---|---|---|---|

Koutník et al. [19] | CoSyNE | • | |||||||

Verbancsics and Harguess [20] | GA (NEAT) | • | • | ||||||

MENNDL [22] | GA | • | |||||||

Loshchilov and Hutter [23] | CMA-ES | • | • | • | |||||

GeNet [25] | GA | • | • | ||||||

CoDeepNEAT [26] | GA (NEAT) | • | • | • | • | • | • | ||

EXACT [27] | GA (NEAT) | • | • | ||||||

Real et al. [28] | GA (NEAT) | • | • | • | |||||

DEvol [34] | GP | • | • | • | • | ||||

Suganuma et al. [29] | CGP | • | • | ||||||

MetaQNN [30] † | RL | • | • | • | • | ||||

Zoph and Le [31] † | RL | • | • | • | • | • | |||

This work | GE | • | • | • | • | • | • | • |

**Table 2.**Sensors used in the OPPORTUNITY dataset, placed over the body, the objects, and the environment.

ID | Sensor System | Location and Observation |
---|---|---|

B1 | Commercial wireless microphones | Chest and dominant wrist |

B2 | Custom Bluetooth acceleration sensors [36] | 12 on the body to sense limb movement |

B3 | Custom motion jacket [37] | Includes 5 commercial RS485-networked XSens inertial measurement units [38] |

B4 | Custom magnetic relative pos. sensor [39] | Senses distance of hand to body |

B5 | InertiaCube3 [40] inertial sensor system | One per foot, on the shoe toe box, to sense modes of locomotion |

B6 | Sun SPOT acceleration sensors | One per foot, right below the outer ankle, to sense modes of locomotion |

O1 | Custom wireless Bluetooth acceleration and rate of turn sensors | 12 objects in the scenario to measure their use |

A1 | Commercial wired microphone array | Four in each room side to sense ambient sound |

A2 | Commercial Ubisense localization system | Placed in the corners of the room to sense user location |

A3 | Axis network cameras | Placed in three locations for localization, documentation, and visual annotation |

A4 | XSens inertial sensor [37,38] | Placed on the table and the chair to sense vibration and use |

A5 | USB networked acceleration sensors [41] | 8 placed on doors, drawers, shelves, and the lazy chair to sense usage |

A6 | Reed switches | 13 placed on doors, drawers and shelves, to sense usage providing ground truth |

A7 | Custom power sensors | Connected to coffee machine and bread cutter to sense usage |

A8 | Custom pressure sensors | 3 placed on the table to sense usage after subjects placed plates and cups on them |

**Table 3.**Side-by-side comparison of the most relevant results provided in the state-of-the-art for the OPPORTUNITY dataset, including both the locomotion and the gesture recognition tracks, with and without null instances. The dagger (†) near some values indicate that performance was reported in a subject-per-subject basis, and are the outcome of averaging the F1 score for subjects 2 and 3. NN: nearest neighbors; SPO: structure preserving oversampling; SVM: support vector machines; LDA: linear discriminant analysis; QDA: quadratic discriminant analysis; NCC: nearest centroid classifier; LSTM: long short-term memory; CNN: convolutional neural network; DNN: deep feed-forward neural network; MV: means and variance; DBN: deep belief network; UP, MI, MU, NU and UT are not technical acronyms but the names given by Chavarriaga et al. [45] to different works based on the name of the institutions participating in the OPPORTUNITY challenge.

Technique | Locomotion | Gestures | ||
---|---|---|---|---|

with null class | no null class | with null class | no null class | |

CStar [45] | 0.63 | 0.87 | 0.88 | 0.77 |

1-NN [45] | 0.84 | 0.85 | 0.87 | 0.55 |

SStar [45] | 0.64 | 0.86 | 0.86 | 0.70 |

3-NN [45] | 0.85 | 0.85 | 0.85 | 0.56 |

NStar [45] | 0.61 | 0.86 | 0.84 | 0.65 |

Integrated Framework [47] | – | 0.927 ${}^{\u2020}$ | 0.821 ${}^{\u2020}$ | – |

SPO + 1NN + Smooth. [47] | – | 0.917 ${}^{\u2020}$ | 0.811 ${}^{\u2020}$ | – |

SPO + SVM + Smooth. [47] | – | 0.897 ${}^{\u2020}$ | 0.804 ${}^{\u2020}$ | – |

SPO + SVM [47] | – | 0.885 ${}^{\u2020}$ | 0.797 ${}^{\u2020}$ | – |

SVM [47] | – | 0.883 ${}^{\u2020}$ | 0.762 ${}^{\u2020}$ | – |

SPO + 1NN [47] | – | 0.890 ${}^{\u2020}$ | 0.777 ${}^{\u2020}$ | – |

1NN [47] | – | 0.890 ${}^{\u2020}$ | 0.705 ${}^{\u2020}$ | – |

LDA [45] | 0.59 | 0.64 | 0.69 | 0.25 |

UP [45] | 0.60 | 0.84 | 0.64 | 0.22 |

QDA [45] | 0.68 | 0.77 | 0.53 | 0.24 |

NCC [45] | 0.54 | 0.60 | 0.51 | 0.19 |

MI [45] | 0.83 | 0.86 | – | – |

MU [45] | 0.62 | 0.87 | – | – |

NU [45] | 0.53 | 0.75 | – | – |

UT [45] | 0.52 | 0.73 | – | – |

b-LSTM-S [5] | – | – | 0.927 | – |

DeepConvLSTM [4] | 0.895 | 0.930 | 0.915 | 0.866 |

LSTM-S [5] | – | – | 0.912 | – |

LSTM-F [5] | – | – | 0.908 | – |

CNN [5] | – | – | 0.894 | – |

DNN [5] | – | – | 0.888 | – |

Baseline CNN [4] | 0.878 | 0.912 | 0.883 | 0.783 |

CNN + Smooth. [49] | – | – | 0.822 ${}^{\u2020}$ | – |

CNN [49] | – | – | 0.818 ${}^{\u2020}$ | – |

MV + Smooth. [49] | – | – | 0.788 ${}^{\u2020}$ | – |

MV [49] | – | – | 0.778 ${}^{\u2020}$ | – |

DBN [49] | – | – | 0.701 ${}^{\u2020}$ | – |

DBN + Smooth. [49] | – | – | 0.700 ${}^{\u2020}$ | – |

Parameter | Symbol | Value |
---|---|---|

Population size | $\left|P\right|$ | 50 |

Maximum number of generations | G | 100 |

Number of generations without improvements (stop condition) | ${G}_{s}$ | 30 |

Codon size | 256 | |

Maximum chromosome length | 100 | |

Tournament size | $\tau $ | 3 |

Crossover rate | $\beta $ | 0.7 |

Mutation rate | $\alpha $ | 0.015 |

Elite size | e | 1 |

**Table 5.**Architecture and fitness of the top seven individuals in the hall-of-fame for GE in the OPPORTUNITY Gestures dataset. GRU: gated recurrent unit; LSTM: long short-term memory; ReLU: rectified linear unit.

# | Fitness | Architecture | |||||
---|---|---|---|---|---|---|---|

1 | 0.9094 | $B=25$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.001$ | |

$c{k}_{1}=64$ | $c{s}_{1}=4$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{ReLU}$ | ||||

c | | $c{k}_{2}=128$ | $c{s}_{2}=3$ | $c{p}_{2}=1$ | $c{a}_{2}=\mathrm{ReLU}$ | |||

$c{k}_{3}=16$ | $c{s}_{3}=2$ | $c{p}_{3}=3$ | $c{a}_{3}=\mathrm{ReLU}$ | ||||

$c{k}_{4}=8$ | $c{s}_{4}=2$ | $c{p}_{4}=1$ | $c{a}_{4}=\mathrm{linear}$ | ||||

$c{k}_{5}=32$ | $c{s}_{5}=4$ | $c{p}_{5}=2$ | $c{a}_{5}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{LSTM}$ | $d{n}_{1}=1024$ | $d{d}_{1}=0$ | $d{a}_{1}=\mathrm{linear}$ | $d{r}_{1}=\mathrm{none}$ | ||

2 | 0.9037 | $B=25$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.001$ | |

c | | $c{k}_{1}=256$ | $c{s}_{1}=2$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{ReLU}$ | |||

$c{k}_{2}=32$ | $c{s}_{2}=4$ | $c{p}_{2}=3$ | $c{a}_{2}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{GRU}$ | $d{n}_{1}=512$ | $d{d}_{1}=0$ | $d{a}_{1}=\mathrm{ReLU}$ | $d{r}_{1}=\mathrm{none}$ | ||

3 | 0.9031 | $B=50$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.0005$ | |

c | | $c{k}_{1}=8$ | $c{s}_{1}=3$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{linear}$ | |||

$c{k}_{2}=128$ | $c{s}_{2}=2$ | $c{p}_{2}=1$ | $c{a}_{2}=\mathrm{ReLU}$ | ||||

$c{k}_{3}=128$ | $c{s}_{3}=3$ | $c{p}_{3}=1$ | $c{a}_{3}=\mathrm{linear}$ | ||||

$c{k}_{4}=64$ | $c{s}_{4}=4$ | $c{p}_{4}=1$ | $c{a}_{4}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{GRU}$ | $d{n}_{1}=512$ | $d{d}_{1}=0$ | $d{a}_{1}=\mathrm{linear}$ | $d{r}_{1}=\mathrm{none}$ | ||

4 | 0.9025 | $B=50$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.001$ | |

c | | $c{k}_{1}=256$ | $c{s}_{1}=2$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{linear}$ | |||

$c{k}_{2}=128$ | $c{s}_{2}=3$ | $c{p}_{2}=1$ | $c{a}_{2}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{GRU}$ | $d{n}_{1}=512$ | $d{d}_{1}=0.5$ | $d{a}_{1}=\mathrm{linear}$ | $d{r}_{1}=\mathrm{none}$ | ||

5 | 0.9013 | $B=25$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.0005$ | |

c | | $c{k}_{1}=16$ | $c{s}_{1}=3$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{ReLU}$ | |||

$c{k}_{2}=256$ | $c{s}_{2}=3$ | $c{p}_{2}=3$ | $c{a}_{2}=\mathrm{linear}$ | ||||

$c{k}_{3}=32$ | $c{s}_{3}=2$ | $c{p}_{3}=1$ | $c{a}_{3}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{GRU}$ | $d{n}_{1}=512$ | $d{d}_{1}=0$ | $d{a}_{1}=\mathrm{ReLU}$ | $d{r}_{1}=\mathrm{none}$ | ||

6 | 0.9013 | $B=25$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.0005$ | |

c | | $c{k}_{1}=16$ | $c{s}_{1}=3$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{ReLU}$ | |||

$c{k}_{2}=256$ | $c{s}_{2}=3$ | $c{p}_{2}=3$ | $c{a}_{2}=\mathrm{linear}$ | ||||

$c{k}_{3}=32$ | $c{s}_{3}=2$ | $c{p}_{3}=1$ | $c{a}_{3}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{GRU}$ | $d{n}_{1}=512$ | $d{d}_{1}=0$ | $d{a}_{1}=\mathrm{ReLU}$ | $d{r}_{1}=\mathrm{none}$ | ||

7 | 0.9010 | $B=25$ | $w=32$ | ${w}_{step}=1$ | $f=\mathrm{Adam}$ | $\eta =0.001$ | |

$c{k}_{1}=64$ | $c{s}_{1}=4$ | $c{p}_{1}=1$ | $c{a}_{1}=\mathrm{linear}$ | ||||

c | | $c{k}_{2}=128$ | $c{s}_{2}=3$ | $c{p}_{2}=1$ | $c{a}_{2}=\mathrm{ReLU}$ | |||

$c{k}_{3}=16$ | $c{s}_{3}=2$ | $c{p}_{3}=3$ | $c{a}_{3}=\mathrm{ReLU}$ | ||||

$c{k}_{4}=8$ | $c{s}_{4}=2$ | $c{p}_{4}=1$ | $c{a}_{4}=\mathrm{linear}$ | ||||

$c{k}_{5}=32$ | $c{s}_{5}=4$ | $c{p}_{5}=2$ | $c{a}_{5}=\mathrm{ReLU}$ | ||||

d | | $d{t}_{1}=\mathrm{LSTM}$ | $d{n}_{1}=1024$ | $d{d}_{1}=0$ | $d{a}_{1}=\mathrm{linear}$ | $d{r}_{1}=\mathrm{none}$ |

**Table 6.**Summary of F1 scores of the best 20 GE individuals after full training in the OPPORTUNITY Gestures dataset.

# | Mean | Std. Dev. | Median | Minimum | Maximum |
---|---|---|---|---|---|

1 | 0.912150 | 0.001528 | 0.91235 | 0.9091 | 0.9148 |

2 | 0.907910 | 0.002371 | 0.90735 | 0.9029 | 0.9114 |

3 | 0.911230 | 0.002044 | 0.91185 | 0.9066 | 0.9143 |

4 | 0.909540 | 0.001801 | 0.91020 | 0.9065 | 0.9116 |

5 | 0.907695 | 0.002126 | 0.90740 | 0.9040 | 0.9110 |

6 | 0.907805 | 0.002299 | 0.90820 | 0.9030 | 0.9121 |

7 | 0.912155 | 0.001004 | 0.91215 | 0.9102 | 0.9143 |

8 | 0.912635 | 0.002196 | 0.91295 | 0.9079 | 0.9175 |

9 | 0.910900 | 0.001453 | 0.91065 | 0.9090 | 0.9146 |

10 | 0.911030 | 0.002295 | 0.91180 | 0.9058 | 0.9138 |

11 | 0.907885 | 0.002182 | 0.90755 | 0.9043 | 0.9122 |

12 | 0.907995 | 0.002917 | 0.90790 | 0.9040 | 0.9140 |

13 | 0.912040 | 0.002446 | 0.91135 | 0.9072 | 0.9177 |

14 | 0.898005 | 0.005668 | 0.89610 | 0.8918 | 0.9076 |

15 | 0.911005 | 0.001863 | 0.91100 | 0.9070 | 0.9139 |

16 | 0.910800 | 0.001365 | 0.91070 | 0.9082 | 0.9136 |

17 | 0.910945 | 0.001438 | 0.91075 | 0.9085 | 0.9144 |

18 | 0.910730 | 0.004045 | 0.91180 | 0.9005 | 0.9185 |

19 | 0.911695 | 0.001979 | 0.91175 | 0.9091 | 0.9176 |

20 | 0.912015 | 0.002713 | 0.91250 | 0.9047 | 0.9152 |

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## Share and Cite

**MDPI and ACS Style**

Baldominos, A.; Saez, Y.; Isasi, P. Evolutionary Design of Convolutional Neural Networks for Human Activity Recognition in Sensor-Rich Environments. *Sensors* **2018**, *18*, 1288.
https://doi.org/10.3390/s18041288

**AMA Style**

Baldominos A, Saez Y, Isasi P. Evolutionary Design of Convolutional Neural Networks for Human Activity Recognition in Sensor-Rich Environments. *Sensors*. 2018; 18(4):1288.
https://doi.org/10.3390/s18041288

**Chicago/Turabian Style**

Baldominos, Alejandro, Yago Saez, and Pedro Isasi. 2018. "Evolutionary Design of Convolutional Neural Networks for Human Activity Recognition in Sensor-Rich Environments" *Sensors* 18, no. 4: 1288.
https://doi.org/10.3390/s18041288