Imputing Missing Social Media Data Stream in
Multisensor Studies of Human Behavior
Koustuv Saha1∗, Manikanta D. Reddy1, Vedant Das Swain1, Julie M. Gregg2, Ted Grover3, Suwen Lin4,
Gonzalo J. Martinez4, Stephen M. Mattingly4, Shayan Mirjafari5, Raghu Mulukutla6, Kari Nies3,
Pablo Robles-Granda4, Anusha Sirigiri5, Dong Whi Yoo1, Pino Audia5, Andrew T. Campbell5,
Nitesh V. Chawla4, Sidney K. D’Mello2, Anind K. Dey7, Kaifeng Jiang8, Qiang Liu9, Gloria Mark3,
Edward Moskal4, Aaron Striegel4, and Munmun De Choudhury1
1Georgia Institute of Technology, 2University of Colorado, Boulder, 3University of California, Irvine, 4University of Notre Dame,
5Dartmouth College, 6Carnegie Mellon University, 7University of Washington,8Ohio State University,9University of Texas at Austin
Contact Author: ∗firstname.lastname@example.org
Abstract—The ubiquitous use of social media enables re-
searchers to obtain self-recorded longitudinal data of individuals
in real-time. Because this data can be collected in an inexpensive
and unobtrusive way at scale, social media has been adopted
as a “passive sensor” to study human behavior. However, such
research is impacted by the lack of homogeneity in the use of
social media, and the engineering challenges in obtaining such
data. This paper proposes a statistical framework to leverage the
potential of social media in sensing studies of human behavior,
while navigating the challenges associated with its sparsity. Our
framework is situated in a large-scale in-situ study concerning
the passive assessment of psychological constructs of 757 infor-
mation workers wherein of four sensing streams was deployed
— bluetooth beacons, wearable, smartphone, and social media.
Our framework includes principled feature transformation and
machine learning models that predict latent social media features
from the other passive sensors. We demonstrate the efﬁcacy of
this imputation framework via a high correlation of 0.78 between
actual and imputed social media features. With the imputed
features we test and validate predictions on psychological con-
structs like personality traits and affect. We ﬁnd that adding the
social media data streams, in their imputed form, improves the
prediction of these measures. We discuss how our framework
can be valuable in multimodal sensing studies that aim to gather
comprehensive signals about an individual’s state or situation.
Index Terms—social media, imputation, multisensor, wellbeing
I. INTRODUCTION AND BACKGRO UN D
Understanding why and how individuals feel, think, and act
is a key topic of interest among researchers from a variety of
academic disciplines, such as psychiatry, psychology, sociol-
ogy, economics, and anthropology . Typically, studies of
human behavior have largely relied on self-reported survey
data. In recent years, several limitations have been noted
with these approaches, for example, survey data suffers from
subjective assessments, recall and hindsight biases. These
surveys are often retrospective in nature — information is
gathered after an event or experience .
A variety of active and passive sensing technologies over-
come such biases by recording psychological states and be-
havior in-the-moment . However, such approaches require
diverse, extensive, and rich data via a variety of complemen-
tary sensors to provide comprehensive information about an
individual’s state and context . However, it is not all the
sensing modalities are always present for an individual, for
instance, active sensing techniques such as ecological mo-
mentary assessments (EMAs), suffer from compliance issues,
and are difﬁcult to implement longitudinally at scale. Many
of these limitations are overcome by passive sensing, such
as logging device use , , . However, despite the
dense, high ﬁdelity data that they capture, passive sensing
paradigms alone are still challenged by resource and logistical
constraints; thus being limited to capturing behavioral data
only during the study period . Such drawbacks could be
overcome by leveraging the social media data of an individual.
Social media provides an inexpensive and unobtrusive means
of gathering both present and historical data , overcoming
some of the challenges posed by active and passive sensing,
and providing complementary information about an individual
in their natural settings , . Further, being self-recorded,
social media data also serves as a verbal sensor to understand
the psychological dynamics of an individual .
However, the availability and quality of retrospective data
via social media widely vary depending on social media use
behavior. Passive consumption is often more prevalent than
active engagement, leading to sparsity in data over extended
periods of time. Consequently, studies either focus on a
very active participant cohort — hurting generalizability and
recruitment, and introducing compliance bias, or disregard
those with no or only limited social media data — hurting
scalability. Additionally, everybody is not on social media,
and its use is typically skewed towards young adults .
Yet many sensing studies focus on other demographics where
social media is less prevalent. Further, gathering social media
data also presents engineering challenges due to platform-
speciﬁc restrictions, thereby, posing signiﬁcant challenges in
long-term longitudinal studies of human behavior.
This paper, therefore, makes a case to overcome the chal-
lenges of missing sensing streams (here, social media) in mul-
timodal studies of human behaviors. The premise of this work
is theoretically grounded in the Social Ecological Model ,
that posits human behaviors have social underpinnings. It
suggests that behaviors can be deeply embedded in the com-
plex interplay between an individual, their relationships, the
communities they belong to, and the societal factors.
In particular, we examine: How to leverage the potential of
social media data in multimodal sensing studies of human
behavior, while mitigating the limitations of acquiring this
unique data stream? We address this question within Tesserae
project, a multisensor study that aims to predict psychological
constructs using longitudinal passive sensing data of 757
information workers.978-1-7281-3888-6/19/$31.00 ©2019 IEEE
Focusing on those participants whose social media data is
not available, this paper proposes a statistical framework to
model the latent dimensions which could have otherwise been
derived, had their social media data stream been available.
Speciﬁcally, we impute missing social media features by learn-
ing their observed behaviors from other passive sensor streams
(bluetooth beacons, wearable, and smartphone use). We em-
ploy a range of state-of-the-art machine learning models, such
as linear regressions, ensemble tree-based regression, and deep
neural network based regression. After having demonstrated
that the imputed social media features closely follow actual
social media features of participants (average correlation of
0.78), we evaluate the efﬁcacy of this social media imputation
framework. We compare pairs of statistical models that predict
a range of common (or benchmark) individual difference
variables (psychological constructs like personality, affect, and
anxiety) — one set of models being those that use imputed
social media features alongside other passive sensor features,
and the other set that does not use these imputed signals.
Our ﬁndings suggest that the imputed social media features
signiﬁcantly improve the predictions by 17%.
Summarily, this paper shows that our proposed framework
can augment the range of social-ecological signals available
in large-scale multimodal sensing studies, by imputing latent
behavioral dimensions, when one sensor stream (that is, so-
cial media data stream) is entirely unavailable for certain
participants. We discuss the implications of our work as a
methodological contribution in multimodal sensing studies of
human behavior, within the sensing research community.
II. RE LATE D WOR K
Social Media as a Passive Sensing Modality. With the ubiq-
uity of smartphones and wearables, passive sensing modalities
enable convenient means to obtain dense and longitudinal
behavioral data at scale , . However, such a data
collection is prospective — after enrollment, during the study
period. To obtain historical or before-study data, researchers
have recently started to use social media as a “passive sensor”,
which enables unobtrusive data collection of longitudinal and
historical data of individuals that were self-recorded , .
Social media provides low-cost, large-scale, non-intrusive
means of data collection. It has the potential to comprehen-
sively reveal naturalistic patterns of mood, behavior, cognition,
and psychological states, both in real-time and across longitu-
dinal time . Relatedly, social media has facilitated analyz-
ing personality traits and their relationship to psychological
and psychosocial well-being, through machine learning and
linguistic analysis , , .
Together, passive sensing modalities in conjunction propa-
gate the vision of “people-centric sensing” , although each
one of them may have its own limitation. Social media suffers
from data sparsity issues, and it can function as a “sensor”
only on those who use it. This leads to a common problem that
many multimodal sensing studies of human behavior face ,
, — they either examine a larger pool of participants
with fewer sensors, or a smaller pool of participants who
comply with all sensing streams. This compromises the com-
bined potential of multiple sensors or the wide spectrum of
individual behaviors. Our work is motivated by computational
approaches to infer latent behavioral attributes , , .
We model latent behavioral states as captured by multimodal
sensing to impute the missing sensing stream.
Data Imputation Approaches in Sensing Studies. Data
imputation is the process of replacing missing data with sub-
stituted values . Imputation techniques commonly include
dropping missing data,substituting with mean or median
values,substituting with random values, etc . These ap-
proaches are typically employed during data cleaning and
pre-processing, and their downstream inﬂuence in the results
largely remain understudied being overshadowed by the objec-
tives of the studies. A number of studies have used statistical
and machine learning based modeling techniques to impute
missing values , , , . In an early work, 
proposed probabilistic approaches to handle missing data, and
recently Jaques et al. used deep learning to impute missing
sensor data and found better mood prediction results .
Although addressing missing data challenges has been stud-
ied in the literature, problems surrounding missing sensing
streams remain understudied. Besides proposing a framework
to impute a missing stream (social media), this paper shows the
effectiveness of this imputation through the lens of predicting
psychological constructs (a problem that has been widely
studied in the multimodal sensing literature) through a variety
of algorithms. We demonstrate the robustness in the imputation
efﬁcacy by comparing our ﬁndings with permutation tests and
random- and mean- based imputation techniques.
III. STU DY AN D DATA
Our dataset comes from the Tesserae study that recruited
757 participants1who are information workers in cognitively
demanding ﬁelds (e.g. engineers, consultants, managers) in
the U.S. The participants were enrolled from January 2018
through July 2018. The study is approved by Institutional
Review Board at the researchers’ institutions.
The participants responded to self-reported survey ques-
tionnaires, and provided us their passively sensed behavioral
data through four major sensing streams, bluetooth, wearable,
smartphone agent, and social media . They were provided
with an informed-consent document with descriptions of each
sensing streams and the data being collected via them. They
were required to consent to each sensing streams individually,
and they could opt out of any stream. The data was de-
identiﬁed and stored on secured databases and servers phys-
ically located in one of the researcher institutions, and had
limited access privileges.
The enrollment process consisted of responding to a set
of initial survey questionnaires related to demographics (age,
gender, education, and income). The participant pool consists
of 350 males and 253 females, where the average age is
34 years (stdev. = 9.34). In education, the majority of the
participants belong to have college (52%) and master’s degree
(35%) education level. Participants were additionally required
to answer an initial set of survey questionnaires that measure
their self-reported assessments of personality, cognitive ability,
affect, anxiety, stress, sleep, physical activity, and alcohol and
tobacco use. Relevant to the focus of the present paper, we
outline the psychological constructs below:
1Note that this is an ongoing study and this paper uses sensed data collected
until August 21st, 2018 , . Randomly selected 154 participants has
been “blinded at source”, and their data is put aside only for external validation
at the end of the study. The rest of the paper only concerns the data of the
remaining 603 “non-blinded” participants in the study.
Personality. The BFI-2 scale  measures personality traits
across the ﬁve dimensions of personality traits on a continuous
scale of 1 to 5. In our dataset, the average value of neuroticism
is 2.46 (std. = 0.78), conscientiousness is 3.89 (std. = 0.66),
extraversion is 3.44 (std. = 0.68), agreeableness is 3.87 (std.
= 0.56), and openness is 3.82 (std. = 0.61).
Affective Measures. The PANAS-X scale  measures posi-
tive and negative affect on a continuous scale of 10 to 50 each.
The STAI-Trait scale  measures anxiety on a continuous
scale of 20 to 80. In our dataset, positive and negative
affect averages at 34.61 (std.=5.95) and 17.47 (std.=5.34)
respectively, and anxiety averages at 38.11 (std.=9.29).
To passively collect data about participants’ behavior, our
study deployed four major sensor streams:
Bluetooth Beacons. Participants were provided with two static
and two portable bluetooth beacons (Gimbal ). The static
beacons were to be placed at their work and home, and
the portable beacons were to be carried continuously (e.g.,
keychains). The beacons track their presence at home and
work, and also help us assess their commute and desk time.
Wearable. Participants were provided with a ﬁtness band
(Garmin Vivosmart ), which they would wear throughout
the day. The wearable continually tracks health measures, such
as heart rate, stress, and physical activity in the form of sleep,
footsteps, and calories lost.
Smartphone Application. The participants’ smartphones (an-
droid and iPhones) were installed with a smartphone applica-
tion (also used in ). This application tracks their phone use
such as lock behavior, call durations, and uses mobile sensors
to track their mobility and physical activity.
Social Media. Participants authorized access to their social
media data through an Open Authentication (OAuth) based
data collection infrastructure that we developed in-house.
Speciﬁcally, we asked permission from participants to provide
their Facebook and LinkedIn data, unless they opted out, or
did not have either of these accounts. We asked consent from
only those participants who had existing Facebook or LinkedIn
accounts from before the study.
Passively Sensed Data. The participants were enrolled over
6 months (February to July 2018) in a staggered fashion,
averaging at 111 days of study per participant. Table I reports
the descriptive statistics of the number of days of passively
sensed data that we collected per participant through each of
the sensor streams. Per participant, we have an average of 42
days data through bluetooth beacons, 108 days data through
wearable, and 101 days of data through a phone application.
Out of the 603 non-blinded participants, 475 authorized
their Facebook data. This data can be broadly categorized
in two types—ones that were self-composed (e.g., writing
a status update or checking into a certain location), and
ones that they received on shared updates on their timeline.
Comprehensively, Facebook data consists of the updates on
participants’ timelines, including textual posts, Facebook apps
usage, check-ins at locations, media updates, and the share
of others’ posts. The likes and comments received on these
updates on the participants’ timelines were also collected.
Note that as per our IRB approval, we did not collect any
multimedia data or private messages. Table II summarizes the
descriptive statistics of our Facebook dataset. Temporally, our
data dates back to October 2005, and the number of days of
data per participant averages at 1,898 days — giving us a sense
of the historical data that Facebook allows us to capture.
Table I: Descriptive statistics of
# days data collected.
Type Range Mdn. Std.
Study Period 16:205 99 46.7
Bluetooth 1:159 37 32.6
Wearable 5:206 94 46.9
Smartphone 1:206 93 52.4
Social Media 110:4756 2923 1474
Table II: Descriptive statistics of
the Facebook dataset.
Type Mdn. Std.
Likes Rcvd. 1,139 5,277.85
Comms. Rcvd. 316 1,383.69
Self-posts 137 511.80
Self-comments 55 334.16
Self-Words 2,374 13,718.56
(130) (124) (51) (30)
(5,077) (4,806) (3,716) (200)
Figure 1: A schematic overview of the feature engineering pipeline
to obtain transformed features from sensor and social media derived
features (The numbers in brackets represent the number of features
in each step in our dataset).
IV. FEATURE ENGINEERING
We derive 130 features from sensor data and 5,077 features
from social media data. The choice of our features is motivated
by prior work on predicting psychological constructs :
Sensor Raw Features. From the sensor datastreams, we obtain
a variety of features that broadly correspond to heart-rate and
heart-rate variability, stress, ﬁtness, physical activity, mobility,
phone use activity, call use, desk activity, and sleep.
Social Media Features. From the social media dataset, we
obtain a variety of features corresponding to psycholinguistic
attributes , open vocabulary n-grams (top 5,000), sen-
timent, and social capital (such as number of check-ins,
engagement and activity with friends, etc.).
We conduct feature selection and transformation to over-
come problems related to multi-collinearity, covariance, etc.
among the features — issues that can potentially affect down-
stream prediction tasks . Because our features are obtained
from multimodal data streams, there is a high likelihood that
some features are related, or are redundant, or show high
variance, or lack predictive power , . For example,
the activity and stress-related features as captured by our
wearable, are both intuitively and theoretically correlated .
We adopt three techniques of reducing the number of features
and consequently transforming them:
1) Selecting Features on Coefﬁcient of Variation: First, we
reduce the feature space on the basis of explained variance
using the measure of coefﬁcient of variation (cv), that essen-
tially quantiﬁes the ratio of standard deviation to the mean
for each feature. We drop those features that are outliers in
the cv (beyond threshold cv of two standard deviations away
from mean). Six sensor features occur above the threshold cv
of 8.6, and 271 social media features show a cv greater than
the threshold cv of 14.5. Dropping these features, our feature
space reduces to 124 sensor derived features and 4,806 social
media derived features (Fig. 2 (a&b)).
2) Selecting Features on Pairwise Correlations: Correlated
features typically affect or distort machine learning prediction
models by potentially yielding unstable solutions or masking
the interactions between signiﬁcant features . To select
uncorrelated features, on the above 124 sensor and 4,806 social
media features, we obtain Pearson’s correlation between every
feature pairs. With a threshold absolute value of 0.8, we drop
those features that are highly correlated with another feature.
0 1 2 3 4 5
Coefficient of Variance
(a) Sensor: cv
0 5 10 15 20
Coefficient of Variance
(b) SM: cv
−1.0 −0.5 0.0 0.5 1.0
# Feature Pairs
(c) Sensor: r
−0.4−0.20.0 0.2 0.4 0.6 0.8 1.0
# Feature Pairs
(d) SM: r
Figure 2: Feature selection stage using Coefﬁcient of Variance (cv)
and Correlation (r). The greyed-out region include those features that
are dropped in these analyses
0 5 10 15 20 25 30 35 40
0 50 100 150 200 250 300 350
Figure 3: (a&b) Scree plots of explained variance and number of PCA
components to transform features in sensor and social media feature
space. These plots help us to determine the number of components.
(c&d) Transformed features’ distribution across participants.
Fig. 2 (c&d) plot the correlations of all the 15,376 (1242)
sensor feature pairs, and 23,097,636 (4,8062) social media
feature pairs. 73 sensor feature pairs and 1,090 social media
feature pairs occur outside the absolute correlation of 0.8 —
leading to exclusion of 73 sensor features and 1,090 social
media features. At the end of this step, we are left with 51
sensor features and 3,716 social media features.
3) Transforming Features using Principal Component Anal-
ysis: On the above features, we employ Principal Compo-
nent Analysis (PCA) using a singular value decomposition
solver , where we select the number of components on
the basis of explained variance . This method reduces the
dimensions in the feature space by transforming features into
orthogonal or principal components , . Fig. 3 (a&b)
plot the scree plots of the explained variance of the principal
components in the feature space. We ﬁnd that 95% of the
feature space is roughly explained at 30 principal components
in the sensor features space, and 200 principal components
in the social media feature space. Note that we build the
PCA models only on the training samples, and transform the
features in the held-out samples with the PCA models. This
way there is no data leakage in our statistical framework.
Finally, our ﬁnal feature set consist of 30 sensor-derived
features and 200 social media-derived features.
V. FE ATUR E LEARNING FRAMEWORK
Our feature learning framework broadly addresses the chal-
lenge of missing social media data stream for 128 participants
in the study. Fig. 4 shows a schematic overview of the
prediction models of psychological constructs that are used to
evaluate the effectiveness of the imputing missing social media
transformed features. We brieﬂy mention the three algorithms
that we consistently use throughout the paper.
Linear Regression (LR) Linear regression adopts a linear
approach to model the relationship between the independent
and dependent variables . Speciﬁcally, wherever applica-
ble, we employ linear regression with L1/L2 regularization
to prevent overﬁtting and to avoid bias introduced due to the
inter-dependence of independent variables .
Base Models (Who have social media data)
SS .X + X’ : Y
11 1 1
Models (Who do not have social media data)
S .X : Y
SS .X + X’ : Y
22 2 2
Final Models (All participants)
Imp. X : X’
X’ : Imp(X )
S . (X + X ) : (Y + Y )
31 2 21
SS . (X + X ) + (X + X’ ) : (Y + Y )
31 2 1 1 1 2
X’ X X’
Sensor Transformed Features
Social Media Transformed Features
S .X : Y
Figure 4: A schematic overview of the statistical models built to
evaluate the effectiveness of imputation.
Gradient Boosted Regression (GBR) Gradient boost technique
conducts regression in the form of an ensemble of weak
prediction models, which are typically decision trees ,
. It optimizes the cost function by iteratively choosing a
function that points in the negative gradient direction. In our
case, we used gradient boost on an ensemble of decision tree
regressors, by varying the number of decision trees between
100 and 1000, with each tree of maximum depth as 3.
Multilayer Perceptron Regression (MLP) Neural network
regression suits in problems where a more conventional re-
gression model cannot ﬁt a solution. We use the multi-layered
perceptron (MLP) technique that works in a feed-forward
fashion (no cycles) with multiple internal layers . The
model learns through a method called backpropagation ,
and follows a fully connected (dense) deep neural network
architecture. Wherever applicable, we use two internal layers
and tune the number of nodes in them between 36 and 216
for our neural network regression models.
The above three algorithm choices are motivated by the
fact that they essentially cover a broad spectrum of algorithm
families spread across linear regression, non-linear regression,
decision trees, ensemble learning, neural networks, and deep
learning. We quantify the prediction accuracy of psychological
constructs as the Symmetric Mean Absolute Percentage Error
(SMAPE), which is computed as mean percentage relative dif-
ference between predicted and actual values, over an average
of the two values . SMAPE values range between 0%
and 100%, and lower values of error indicate better predictive
ability. To obtain these, we ﬁrst divide their datasets into ﬁve
equal segments, and then iteratively train models on four of the
segments to predict on the held-out ﬁfth segment. We average
the testing accuracy metrics to obtain the pooled accuracy
metrics for the above algorithms. This paper refers to this
technique as pooled accuracy technique and the corresponding
outcomes as pooled accuracy or error measures. Within the
training segments, we tune the hyper-parameters using a k-fold
cross-validation (k= 5) technique.
Baseline Prediction with Passively Sensed Data. We ﬁrst
seek to establish if the presence of social media features
improves prediction accuracy. On the same set of 475 partici-
pants who have social media data, we compare two models of
predicting psychological constructs — 1) S1uses 30 sensor
features, and 2) SS1combines 30 sensor features and 200
social media features. Table III reports the relative decrease
in error for SS1compared to S1. The relative decrease in
error averages at 21% for LR, 26% for GBR, and 21% for
MLP. In sum, adding social media features improves the
predictions by an average of 22.4% across all the models and
the psychological constructs.
−0.2 0.0 0.2 0.4 0.6 0.8
0.2 0.4 0.6 0.8 1.0
0.2 0.4 0.6 0.8 1.0
Figure 5: Correlation distribution between PCA Components and
Predicted PCA Components of Facebook
A. Imputing Missing Social Media Features
The baseline prediction suggests that adding social media
features indeed improves the prediction task of the psycholog-
ical constructs. However, about one-quarter of the participants
do not have social media data (see section III). This restricts us
from leveraging a rich feature stream to predict such attributes
for these individuals. To overcome this constraint, we aim at
learning certain latent behaviors that we could have otherwise
inferred if we had access to their social media data.
We impute the social media features using the sensor fea-
tures. For this, we build learning models on the sensor stream
of the social media participants to predict their latent social
media dimensions. That is, for every 200 social media feature,
we build a separate model that uses the sensor features as the
independent variables to predict the social media feature. We
adopt k-fold cross-validation based hyper-parameter tuning.
We use LR, GBR, and MLP to ﬁnd the best algorithmic model,
and quantify the pooled accuracy of the prediction models in
terms of Pearson’s correlation (r) between actual and predicted
social media features. Levene’s test between all the actual
and predicted features reveals homogeneity of variance in the
feature set . This statistically indicates that the imputed
social media transformed features are not arbitrarily generated.
Fig. 5 plots the distribution of the pooled Pearson’s corre-
lation (r) between the actual and predicted values of social
media transformed features. We ﬁnd that the mean correlation
across the components is 0.22 in LR, 0.78 in GBR, and 0.67
in MLP. All of these correlation measures are statistically
signiﬁcant at p < 0.05. Comparing across the algorithms,
GBR performs the best in predicting the latent social media
dimensions. For the rest of the analyses, we used the GBR
algorithm to impute the social media transformed features.
B. Evaluating the Effectiveness of Imputation
On those 128 participants whose social media data we did
not have, we compare two prediction models of psychological
constructs— 1) S2uses only sensor features of these partici-
pants, and 2) SS2combines sensor features and imputed social
media features (as obtained above).
We compare the accuracy metrics of S2and SS2to deduce
if imputing the social media features improves our task of
predicting psychological constructs. Table III compares the
prediction errors (SMAPE) for the three algorithms that we
run in each of the models S2and SS2. We ﬁnd that for LR,
the relative decrease in the error ranges between 6% (for
openness) and 17% (for positive affect), averaging at 11%;
for GBR, the relative decrease in the error ranges between
16% (anxiety) and 20% (extraversion), averaging 17%; and
for MLP, the relative decrease in the error ranges between
6% (extraversion) and 21% (anxiety). Therefore, the imputed
Table III: Relative % decrease in SMAPE in prediction models using
both sensor & social media features from ones using only sensor
features. Positive values mean better prediction in SSnthan Sn.
Psy. Construct LR GBR MLP LR GBR MLP LR GBR MLP
Personality Traits (BFI-2)
Extraversion 10.6 28.4 16.6 8.4 20.1 6.4 12.8 19.5 3.6
Agreeableness 8.3 27.5 30.4 5.9 17.9 17.2 3.2 14.4 20.2
Conscientious. 11.8 26.0 28.2 9.4 17.4 13.5 15.0 21.2 12.1
Neuroticisim 11.2 24.9 17.6 7.6 16.9 13.4 6.0 17.5 -13
Openness 10.0 25.1 33.8 6.1 15.6 16.9 5.4 15.3 3.1
Pos. Affect 33.8 26.2 8.06 16.6 18.1 18.4 8.6 14.5 21.5
Neg. Affect 38.8 24.7 24.04 16.1 15.7 9.7 8.4 11.8 16.4
Anxiety (STAI) 39.4 24.3 7.5 14.1 15.7 20.8 6.4 16.8 34.4
Mean 20.5 25.9 20.8 10.5 17.2 14.5 8.2 16.4 12.3
0 10 20 30 40 50 60
(a) Mean Imp.
0 10 20 30 40 50 60
(b) Random Imp.
Mean Decrease %
Figure 6: (a&b) SMAPE comparing prediction models using sensor
features (S3) vs. those using sensor and (a) mean- and (b) random-
imputed features, (c) Reduction in SMAPE in several permutations
of randomly imputed social media features, as compared to S3.
social media features improved the prediction by an average
of 14% across all models and measures.
Finally, on our entire dataset, we build two (Final Models)
to evaluate the overarching effectiveness of imputation— 1) S3
incorporates sensor features of all participants, 2) SS3incorpo-
rates Facebook features of all participants. In this model, for
those who have Facebook data, we use their Facebook features,
and for the rest, we use their imputed Facebook features.
We compare the prediction accuracy of the SS3and S3—
this gives us an estimate of how this sort of imputation
framework inﬂuences the overarching task of predicting psy-
chological constructs in multimodal studies (see Table III).
We ﬁnd an average improvement in prediction by 8.2% in
LR, 16.4% in GBR, and 12.3% in MLP.
C. Hypothesis Tests for Robustness
After evaluating our imputation models, we measure its ro-
bustness. We compare the effectiveness of our imputed sensing
stream against two other imputation approaches applied to
those 128 participants without social media data.
Mean Imputation. This approach imputes social media features
as the mean value of the corresponding feature sets. We build
prediction models of psychological constructs as described
in the previous subsections. This method draws on prior
studies which adopted similar approaches of imputing missing
features using static measures of central tendencies, such as
mean or median of the feature sets .
Randomized Imputation. This approach imputes the social
media transformed features as random values from the cor-
responding feature sets. We repeat such a randomization for a
1000 times, and in each case compare the prediction with Final
Model S3. This method emulates a permutation test , and
checks for robustness of the imputation effectiveness, by test-
ing the null hypothesis that randomly imputed sensor streams
are better than that imputed by our statistical framework.
Fig. 6 shows the SMAPE of these models as compared
to that by S3. While our imputation shows an average im-
provement in SMAPE by 16% on the Final Model (S3) (see
Table III), the same improvement for Mean Imputation-based
model is -3.10% and Randomized Imputation-based model is
5.34%, clearly suggesting minimal (or no) improvement in
these two models. Permuting on the randomized imputations
a thousand times, we observe that in terms of prediction error,
our imputations are never outperformed by the randomized
imputations in those thousand permutations. Essentially, this
rejects the null hypothesis that our imputation is only more
effective than randomly generated imputations by chance.
In conclusion, our ﬁndings suggest that passively sensed
multimodal data streams can be used to not only impute
the latent social media dimensions, but also to augment
these latent features in building better prediction models
that infer psychological constructs. We consistently observe
similar trends in the improvement of prediction accuracies by
integrating the social media features (both actual and imputed)
with the sensor-transformed features.
VI. DISCUSSION AND CONCLUSION
Theoretical and Practical Implications. This paper proposes
an analytical framework of imputing a missing sensing stream
(here social media) in multimodal sensing studies. We evaluate
the effectiveness of this imputation by predicting psychologi-
cal constructs through a variety of state-of-the-art algorithms.
At a higher level, the imputation framework is grounded on
the Social Ecological Model that construes interdependence
among individuals, their behavior and their surroundings and
environment , . This implies its applicability not
only in theory but also in practice (context and activity as
captured and observed through passive sensing modalities).
Our ﬁndings reveal the robustness of imputation by comparing
with permutation tests and random- and mean- imputation. We
believe such a framework can potentially be used in studies
where there is similar theoretical grounding (around a focus on
comprehensive social ecological signals), and an opportunity
to infer psychological attributes.
We ﬁnd that integrating social media features improves the
prediction of psychological constructs. This aligns with prior
work on the potential of social media (both individually as
well as in tandem with other passive sensors) in predicting
these measures , , . However, social media data may
not be available for the participants. Our proposed imputation
method addresses this gap by computing latent social media
dimensions, which can be used to improve such machine
learning-based prediction tasks of human behavior.
Following our framework, existing datasets that include
multimodal sensing, but do not have social media streams for
some participants, can now be retrained for better predictions.
While our study only focuses on predicting psychological
constructs, the same method can be extrapolated to predict
other measures of human behavior as well. Not being limited
to a single algorithm, our framework shows the consistency in
the ﬁndings across a variety of algorithm families. It is not con-
strained by the choice of machine learning algorithms, which
typically vary depending on the characteristics of the dataset
and the distribution of the individual difference variables.
We believe that if there are additional sensing streams over
those we consider, their features can be plugged into our
framework. However, it remains interesting to study whether
the additional sensors improve the imputation models. For
instance, sensing technologies that capture conversations 
among individuals in social settings would plausibly improve
predicting latent social media features, on the rationale that
it captures another set of dimensions in the social ecological
framework — ofﬂine social interactions.
Ethical Implications. We caution against our work being
misused as a methodology to surveil or infer individual be-
haviors. Our work intends to model latent dimensions that can
assist prediction tasks in multimodal sensing studies, by being
internal to the pipeline of the prediction system. However,
these latent dimensions do not necessarily translate to or are
indicative of actual individual behaviors on social media, and
therefore such inferences cannot be drawn from the imputed
social media features about the individuals.
This paper does not unpack why certain participants did not
share social media data. It could be because they do not use
social media, or because they do not intend to share this data
for privacy reasons. Whether social media features should be
imputed for the second class of individuals can constitute a
debated topic. This is because such an imputation approach,
when applied to make predictions of sensitive individual
difference variables and incorporated into larger systems (e.g.,
targeted advertising), can be perceived as a violation of the
very privacy considerations that spurred them to not share
social media data in the ﬁrst place. We envision these topics
need further discussions among researchers, ethicists, and the
individuals who participate in such studies.
Limitations and Future Work. Our work has limitations,
some of which open up opportunities for future research. Our
ﬁndings are limited to imputing a speciﬁc type of social media
data – that gathered from Facebook. Imputing social media
stream of other platforms, especially ones where mixed media
sharing is extensive (e.g., Instagram or Tumblr) may present
unique challenges. Because we focus on a speciﬁc cohort
of participants who are information workers, whether our
approach would yield similar promising imputation results in
other populations needs to be explored. We, therefore, caution
against making sweeping generalizable claims.
Like any other imputation approaches, our methodology is
vulnerable to introduce biases within the dataset , .
Because the imputation model only learns the latent dimen-
sions from what it has seen, it is unlikely to learn unknown
and deviant behavioral patterns. While such occurrences are
less likely to occur in a large-scale multimodal sensing studies
like ours (where the participant pool is diverse), this factor
should be considered in smaller scale studies or when the study
population lacks representativeness and has a greater selection
bias. The present work leverages a speciﬁc set, albeit a range
of commercially available passive sensors. It interests future
research to investigate how adding other sensing modalities
can improve the imputation of social media features.
VII. ACKN OWLEDGMENTS
This research is supported in part by the Ofﬁce of the Di-
rector of National Intelligence (ODNI), Intelligence Advanced
Research Projects Activity (IARPA), via IARPA Contract
No. 2017-17042800007. The views and conclusions contained
herein are those of the authors and should not be interpreted as
necessarily representing the ofﬁcial policies, either expressed
or implied, of ODNI, IARPA, or the U.S. Government. The
U.S. Government is authorized to reproduce and distribute
reprints for governmental purposes notwithstanding any copy-
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