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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Understanding the Relation of User and News Representations in Content-Based Neural News Recommendation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Lucas Möller</string-name>
          <email>lucas.moeller@ims.uni-stuttgart.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sebastian Padó</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute for Natural Language Processing, University of Stuttgart</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>A number of models for neural content-based news recommendation have been proposed. However, there is limited understanding of the relative importances of the three main components of such systems (news encoder, user encoder, and scoring function) and the trade-offs involved. In this paper, we assess the hypothesis that the most widely used means of matching user and candidate news representations is not expressive enough. We allow our system to model more complex relations between the two by assessing more expressive scoring functions. Across a wide range of baseline and established systems this results in consistent improvements of around 6 points in AUC. Our results also indicate a trade-off between the complexity of news encoder and scoring function: A fairly simple baseline model scores well above 68% AUC on the MIND dataset and comes within 2 points of the published state-of-the-art, while requiring a fraction of the computational costs.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        News recommender systems (NRS) guiding users to news items that are of interest to them are
in widespread use [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2, 3, 4, 5</xref>
        ]. Traditional approaches often relied on collaborative filtering
and fought with a range of problems [6, 7, 8, 9, 10, 11]. In recent years neural content-based
approaches have successfully addressed many prior challenges [12, 13, 14, 15]. Figure 1 shows
the architecture shared by many of these systems. They typically consist of three components:
(a), a news encoder which maps individual news articles onto embeddings; (b), a user encoder
which produces user representations u as a function of their reading history h; (c), a scoring
function that maps a pair of a candidate news embedding c and a user representation u onto a
scalar score .
      </p>
      <p>
        In this paper, we start from the observation that these three components of the NRS architecture
have received very different amounts of attention. Regarding (a), the news encoder, there is a large
amount of research, ranging from early applications of convolutional networks [
        <xref ref-type="bibr" rid="ref3 ref4">16, 17</xref>
        ] to the
integration of additional features from topic models [
        <xref ref-type="bibr" rid="ref5 ref6 ref7">18, 19, 20</xref>
        ], or knowledge bases [
        <xref ref-type="bibr" rid="ref10 ref8 ref9">21, 22, 23</xref>
        ]
to modern pre-trained language models [
        <xref ref-type="bibr" rid="ref11">24</xref>
        ]. As for (b), the user encoder, some systems use
c
      </p>
      <p />
      <sec id="sec-1-1">
        <title>Scoring</title>
      </sec>
      <sec id="sec-1-2">
        <title>Function</title>
        <p>h1</p>
      </sec>
      <sec id="sec-1-3">
        <title>User Encoder</title>
        <p>u
h2
h3</p>
      </sec>
      <sec id="sec-1-4">
        <title>News</title>
      </sec>
      <sec id="sec-1-5">
        <title>Encoder</title>
      </sec>
      <sec id="sec-1-6">
        <title>News News News</title>
      </sec>
      <sec id="sec-1-7">
        <title>Encoder Encoder Encoder</title>
        <p>MLP</p>
      </sec>
      <sec id="sec-1-8">
        <title>Pooling</title>
      </sec>
      <sec id="sec-1-9">
        <title>Transformer</title>
        <p>
          u
+
 1  2  3  4  5
recurrent models [
          <xref ref-type="bibr" rid="ref12 ref7">20, 9, 25</xref>
          ] or graph representations [
          <xref ref-type="bibr" rid="ref13 ref14 ref15">26, 27, 28</xref>
          ]. However, state-of-the-art
models obtain user representations from additive combinations of the user’s reading history [
          <xref ref-type="bibr" rid="ref11">24</xref>
          ].
In a large majority of models, the scoring function (c) is then instantiated by an inner product
[
          <xref ref-type="bibr" rid="ref11 ref16 ref17 ref18 ref19 ref3 ref5 ref6 ref8">16, 29, 19, 18, 21, 30, 31, 24, 32</xref>
          ]. We believe this is not expressive enough: Given that, user
+
representations are essentially averages of news embeddings, the use of a simple inner product
entails that scores can only compare user and candidate news embeddings within but not across
dimensions of the embedding space. This puts a large strain on the news encoder, since it needs
to encode any such relevant interactions explicitly in some dimension of the news embedding.
        </p>
        <p>Following up on this observation, we allow our system to model more complex relations
between user and candidate news representations by systematically assessing more expressive
scoring functions. We evaluate these scoring functions in combination with a number of baseline
and SOTA news recommender systems.</p>
        <p>Our results show that a more complex, yet relatively simple, scoring function consistently results
in a large improvement of the overall performance. Furthermore, it can obviate the need for
a complex news encoder and still perform at the state of the art. In this manner, we make a
contribution to a better understanding of the roles and importances of the individual components
in the general NRS architectures.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Method</title>
      <p>
        We implement a neural content-based NRS with the components shown in Figure 1. Our news and
user encoder closely follow previously published methods [
        <xref ref-type="bibr" rid="ref11 ref3">16, 24</xref>
        ]. The focus of our experiments
is then on the scoring function, as it is this component that models the relation between candidate
news and user representations.
      </p>
      <sec id="sec-2-1">
        <title>2.1. News Encoder</title>
        <p>
          The content of a news article is typically represented by obtaining embeddings  from a sequential
model and subsequently pooling them into a fixed-length news vector n. We use a pre-trained
transformer [
          <xref ref-type="bibr" rid="ref20 ref21">33, 34</xref>
          ] for embeddings and an additive attention mechanism from previous studies
for pooling [
          <xref ref-type="bibr" rid="ref16 ref3 ref4 ref5 ref8">17, 21, 18, 16, 29</xref>
          ]:
n = ∑︁   e ,
        </p>
        <p>= softmax (︀ q tanh ( e + b))︀ 
Here the index  is over the last  historic news a user has read, and   are computed analogous
to   in Equation 1.</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.3. Scoring Functions</title>
        <p>We now define a series of scoring functions to compute a score  for the match between a user
embedding u and a candidate news embedding c. We focus on generalizations of the inner
product with increasing expressiveness.</p>
        <p>As discussed above, a simple scoring function is an inner product followed by a sigmoid
transformation:</p>
        <p>(u, c) =  (︀ c u)︀
However, its limitation becomes clear when we plug in Equation 2,
The indexes  and  range over all token embeddings.  , q and b are parameters. The pooled
representation is further processed by two linear layers with ReLU activations. We initialize
both the pooling mechanism and the linear layers randomly and train them together with the full
model.</p>
      </sec>
      <sec id="sec-2-3">
        <title>2.2. User Encoder</title>
        <p>
          In line with previous studies [
          <xref ref-type="bibr" rid="ref3 ref5 ref8 ref9">21, 16, 18, 22</xref>
          ], we compute user embeddings u from their reading
histories. We combine the vector representation h of respective news by means of an additive
attention mechanism analogous to the one used in the news encoder:
u = ∑︁   h

(1)
(2)
(3)
(4)
c u = ∑︁  = ∑︁ ∑︁   ℎ ,
        </p>
        <p>where  indexes the dimension of the embedding space: Only dependencies within identical
dimensions of history and candidate news are considered for the computation of . The score
cannot depend on dependencies across different dimensions of the feature space.</p>
        <p>We can remove this limitation by defining a scoring function based on a bilinear form where
off-diagonal entries in the matrix  may capture interactions among different dimensions:
 =  (︀ c  u)︀
(5)
When  is treated as a parameter, the scoring function becomes a learnable component. If we
add a bias b and an activation function  we obtain a non-linear version:</p>
        <p>=  (︀ c  ( u + b))︀ ,
Finally, we consider a two-layer MLP acting on the concatenation u||c of the two representation
vectors:
 =  (2  (1 [u||c] + b))
(6)
(7)</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Experiments and Results</title>
      <sec id="sec-3-1">
        <title>3.1. Experimental Setup</title>
        <p>
          Data. We carry out experiments on the widely used Microsoft News Dataset (MIND, Wu et al.
[
          <xref ref-type="bibr" rid="ref22">35</xref>
          ]) for news recommendation. It consists of logs generated from one million randomly sampled
users over a period of six weeks and contains approximately 160k news items. Notably, this
dataset also contains cold start sessions, i.e. sessions for which no user history exists.
Task and Model. We train a binary click-prediction classification task with a standard
crossentropy objective. Each input is a news document presented to a user in a given session and the
user’s reading history up to this session. The output is whether the news document was clicked.
For a fair comparison among model architectures, we use a pre-trained roBERTa transformer [
          <xref ref-type="bibr" rid="ref23">36</xref>
          ]
to encode the news documents (cf. Section 2.1) throughout. We do not fine-tune the transformer,
which permits us to train the full model on a single RTX 2070 GPU.
        </p>
        <p>Training. In each training iteration, we sample one clicked news and a number of  negatives
from a given session. In accordance with previous studies, we use  = 4 and a batch size of 64.
We use the Adam optimizer with a learning rate of 1− 4. A maximum of the last  = 25 news
are used from a user’s reading history. The embedding dimensionality for news and user vectors
is set to 256. All trainings run for vfie epochs.</p>
        <p>Evaluation. We evaluate our experiments with the standard ranking metrics Area Under the
Curve (AUC), Mean Reciprocal Rank (MRR), and Normalized Discount Cumulative Gain up to
position vfie (NDCG@5) and ten (NDCG@10). Cold start users receive random scores from a
uniform distribution.</p>
        <p>
          To test whether one model is significantly superior to another, we use del Barrio’s test for
stochastic dominance on the loss distributions of the respective models. This test is non-parametric
and compares the percentile functions of two distributions [
          <xref ref-type="bibr" rid="ref24">37</xref>
          ]. For a detailed explanation and
the test’s suitability for the evaluation of deep models we refer to the work by Dror et al. [
          <xref ref-type="bibr" rid="ref25">38</xref>
          ].
We choose a maximum violation level of  = 0.33 and a significance level of  = 0.01.
        </p>
        <p>Base + inner
Base + bilinear
Base + nonlinear
Base + mlp
NPA + inner (orig.)
NPA + bilinear
NPA + nonlinear
NPA + mlp
NAML + inner (orig.)
NAML + bilinear
NAML + nonlinear
NAML + mlp
NRMS + inner (orig.)
NRMS + bilinear
NRMS + nonlinear
NRMS + mlp
NRMS ablation + inner
NRMS ablation + bilinear
Mean + inner
Mean + bilinear
Mean + nonlinear
Mean + mlp</p>
        <p>AUC
3.2. Experiment 1: Comparing Scoring Functions
In our first experiment we evaluate the performance of our Base model from Section 2 in
combination with all four scoring functions. The results are shown at the top of Table 1 (first
group of results).</p>
        <p>We find a reasonable baseline performance of around 62.6% AUC for the inner product score.
The bilinear scoring function clearly outperforms the inner product by 5 points in AUC (67.5%).
The non-linear scoring function further improves the performance by one point to 68.7%, which
the MLP cannot surpass (68.0%). The improvement of the bilinear scoring function over the
inner one and that of the nonlinear over the bilinear one are both significant (  = 0 and  = 0.29).</p>
        <p>Figure 2 (Base) shows the loss distributions of all four models. Clearly, compared with the
other models the inner product has a distinctively lower peak at low values and a much heavier
tail towards higher values. It also has a sharp peak at (0.5) ≈ 0.7, indicating the model is
uncertain about a substantial fraction of the data and places them right at the decision boundary.
y
t
i
s
n
e
D
y
t
i
s
n
e
D
NAML
inner
bilinear
nonlinear
mlp</p>
        <p>Base
NRMS
NRMS ablation
0 0.25 0.5 0.75 1</p>
        <p>BCE Loss
0 0.25 0.5 0.75 1</p>
        <p>BCE Loss
0 0.25 0.5 0.75 1</p>
        <p>
          BCE Loss
3.3. Experiment 2: SOTA Models with Different Scoring Functions
To investigate to what extent these patterns generalize beyond our Base model, we now vary
the scoring function in three state-of-the-art NRS models: NPA personalizes the user encoder
[
          <xref ref-type="bibr" rid="ref3">16</xref>
          ], NAML includes categorical and textual news features [
          <xref ref-type="bibr" rid="ref5">18</xref>
          ] and NRMS applies multi-head
attention in the user- and news-encoder [
          <xref ref-type="bibr" rid="ref16">29</xref>
          ]. All standardly use an inner product score. We
complete the set of models with a trivial Mean baseline which replaces the attention mechanisms
in the news and user encoders (Equation 1, Equation 2) with simple averages. The results are
shown in the rest of Table 1. Figure 2 visualizes the loss distributions of all combinations.
        </p>
        <p>
          Strikingly, for all models except NRMS the bilinear scoring function largely outperforms the
inner product. Moreover, the bilinear models are strictly stochastically dominant over the inner
product models ( = 0), i.e. they outperform the latter at every percentile of the loss distribution
[
          <xref ref-type="bibr" rid="ref24 ref25">37, 38</xref>
          ].
        </p>
        <p>Second, our Base model from Experiment 1 performs within 0.2 percentage points AUC of the
best overall model (68.7% vs. 68.9%). Even the Mean model in combination with the nonlinear
scoring function comes to within 1 percentage point AUC of the best model (67.8%). This is
especially interesting considering the poor performance of the Mean model in combination with
an inner product scoring function (58.9%). By changing only the scoring function, this trivial
baseline can compete with much more complex architectures.</p>
        <p>In contrast, we cannot confirm a superiority of a nonlinear over a bilinear scoring function in
this experiment. For the models tested here, the two show very similar results. Improvements,
where present, are not significant.</p>
        <p>Base
Mean 27
NPA
NRMS
NAML
NRMS abl. 25
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        <p>The outlier model in this experiment is NRMS, for which the choice of scoring function does
not appear to matter much. We believe that this is the case because NRMS is the only model that
transforms the news representations in a user’s history before additively combining them to a user
embedding. To test whether this transformation plays an important role, we remove it, obtaining
the ’NRMS ablation’ model. Indeed, this modification leads to a large drop in performance of
almost 5 pp AUC to a level slightly above the NPA, NAML and Base model. When replacing the
inner product with a bilinear score the performance recovers to 68.2% AUC. This performance is
not significantly worse than that of the original NRMS model (  = 0.45).</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.4. Meta Analysis</title>
        <p>We conclude by carrying out a meta analysis of the results across all combinations of scoring
functions with the vfie implemented model architectures (Mean, Base, NPA, NAML, NRMS).
Figure 3 visualizes the results from Tabel 1 using boxplots.</p>
        <p>The bilinear scoring function accounts for an average improvement of 6.1 ± 1.5 points in AUC
over a simple inner product1. Very much in parallel, MRR increases by 5.2 ± 1.1 pp, NDCG@5
by 6.7 ± 1.3 and NDCG@10 by 6.3 ± 1.3 points. On the contrary, there is hardly a difference
between the bilinear, nonlinear or MLP scoring functions.</p>
        <p>An interesting result is also that simple models (Mean and Base) in combination with more
1For the NRMS model in combination with an inner product, we consider the ablation described above.
powerful scoring functions perform better than models with complex news encoders (NPA,
NAML, NRMS ablation) combined with an inner product score. A more expressive scoring
function appears to be able to compensate for complexity in other parts of the model.</p>
        <p>Finally, Table 1 also shows the number of parameters in every model. NPA and NRMS are
especially parameter hungry due to their use of embedding and attention layers (20M and 3M,
respectively). NAML has additional parameters for category embedding layers and a second news
encoder for the abstract of the news. The Mean and Base models, on the other hand, only have
some 100ks of parameters, meaning that they are cheaper and likely more robust to be learned.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>
        In this paper, we have dissected the relation of user and candidate news representation in
contentbased neural NRS, which is modeled by the scoring function. On top of a range of baseline and
SOTA models, we find a large improvement of 6.2 ± 1.4 points in AUC for moving from an inner
product to a bilinear form, but no further improvements for moving to a nonlinear version or an
MLP. These findings extend similar results on collaborative approaches by Rendle et al. [
        <xref ref-type="bibr" rid="ref26">39</xref>
        ] to
neural content-based NRS.
      </p>
      <p>
        By implementing a bilinear scoring function, a trivial baseline (Mean) can almost reach a 1 pp
AUC proximity of our best model, while having an order of magnitude less parameters. Our
slightly more complex Base model comes within a 2 pp AUC margin of the currently published
state of the art [
        <xref ref-type="bibr" rid="ref11">24</xref>
        ].
      </p>
      <p>
        We achieve these results without fine-tuning the transformer backbone of the news encoder.
Together with their small number of parameters, these models require relatively little computational
costs. Thus, they can serve as conceptually simple and cheap, yet powerful baselines [
        <xref ref-type="bibr" rid="ref27">40</xref>
        ].
      </p>
      <p>Overall, we conclude that representing users by means of an additive combination of historic
news embeddings and subsequently using an inner product to model the relation with candidate
news is not sufficient — A more expressive relation between user and candidate news
representations can enhance the performance of NRS by a large margin and can even compensate for
complex news encoders.</p>
      <p>We believe our study is a first step towards a systematic understanding of the importances of the
individual components of NRS for their overall performance.
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