The sum of the embeddings accumulates evidence for a type/property over all constituents, e.g., a name containing “stadium”, “lake” or “cemetery” is likely to refer to a location. In this paper, we compute our word level representation with two types of word embeddings: (i) using only contextual information of words in the corpus, e.g., by word2vec  and (ii) using subword as well as contextual information of words, e.g., by Facebook's recently released fasttext  . In this paper, we integrate character-level and word-level with entity-level representations to improve the results of previous work on fine-grained typing of KB entities. We also show how descriptions of entities in a KB can be a complementary source of information to our multi-level representation to improve the results of entity typing, especially for rare entities. Our main contributions in this paper are: We release our dataset and source codes: cistern.cis.lmu.de/figment2/.

Conclusion	In this paper, we have introduced representations of entities on different levels: character, word and entity. The character level representation is learned from the entity name. The word level representation is computed from the embeddings of the words $w_i$ in the entity name where the embedding of $w_i$ is derived from the corpus contexts of $w_i$ . The entity level representation of entity $e_i$ is derived from the corpus contexts of $e_i$ . Our experiments show that each of these levels contributes complementary information for the task of fine-grained typing of entities. The joint model of all three levels beats the state-of-the-art baseline by large margins. We further showed that extracting some keywords from Wikipedia descriptions of entities, when available, can considerably improve entity representations, especially for rare entities. We believe that our findings can be transferred to other tasks where entity representation matters. Acknowledgments. This work was supported by DFG (SCHU 2246/8-2).

Multi-level Representations for Fine-Grained Typing of Knowledge Base Entities	Entities are essential elements of natural language. In this paper, we present methods for learning multi-level representations of entities on three complementary levels: character (character patterns in entity names extracted, e.g., by neural networks), word (embeddings of words in entity names) and entity (entity embeddings). We investigate state-of-the-art learning methods on each level and find large differences, e.g., for deep learning models, traditional ngram features and the subword model of fasttext (Bojanowski et al., 2016) on the character level; for word2vec (Mikolov et al., 2013) on the word level; and for the order-aware model wang2vec (Ling et al., 2015a) on the entity level. We confirm experimentally that each level of representation contributes complementary information and a joint representation of all three levels improves the existing embedding based baseline for fine-grained entity typing by a large margin. Additionally, we show that adding information from entity descriptions further improves multi-level representations of entities.

Character-level LSTM is applied by LingDyer15ovwr to LM and POS tagging, by lampe2016 to NER, by BallesterosDyer15chlstm to parsing morphologically rich languages, and by cao2016 to learning word embeddings. subword16 learn word embeddings by representing words with the average of their character ngrams (subwords) embeddings. Similarly, chen2015 extends word2vec for Chinese with joint modeling with characters. Fine-grained entity typing. Our task is to infer fine-grained types of KB entities. KB completion is an application of this task. yyhs15fig's FIGMENT system addresses this task with only contextual information; they do not use character-level and word-level features of entity names. neelakantan2015inferring and xie16dkrl also address a similar task, but they rely on entity descriptions in KBs, which in many settings are not available. The problem of Fine-grained mention typing (FGMT)  ,  ,  ,  ,  ,  is related to our task.

Multi-level representations	Our different levels of representations can give complementary information about entities. WLR and CLR. Both WLR models, SWLR and WWLR, do not have access to the cross-word character ngrams of entity names while CLR models do. Also, CLR is task specific by training on the entity typing dataset while WLR is generic. On the other hand, WWLR and SWLR models have access to information that CLR ignores: the tokenization of entity names into words and embeddings of these words. It is clear that words are particularly important character sequences since they often correspond to linguistic units with clearly identifiable semantics – which is not true for most character sequences. For many entities, the words they contain are a better basis for typing than the character sequence. For example, even if “nectarine” and “compote” did not occur in any names in the training corpus, we can still learn good word embeddings from their non-entity occurrences. This then allows us to correctly type the entity “Aunt Mary's Nectarine Compote” as food based on the sum of the word embeddings. WLR/CLR and ELR.

We then build a simple entity representation by averaging the embeddings of the top $k$ words (wrt tf-idf) of the description (henceforth, AVG-DES). This representation is used as input in Figure 1 to train the MLP. We also train our best multi-level model as well as the joint of the two on this smaller dataset. Since the descriptions are coming from Wikipedia, we use 300-dimensional Glove  embeddings pretrained on Wikipdia+Gigaword to get more coverage of words. For MuLR, we still use the embeddings we trained before. Results are shown in Table 3 . While for head entities, MuLR works marginally better, the difference is very small in tail entities. The joint model of the two (by concatenation of vectors) improves the micro F1, with clear boost for tail entities. This suggests that for tail entities, the contextual and name information is not enough by itself and some keywords from descriptions can be really helpful. Integrating more complex description-based embeddings, e.g., by using CNN  , may improve the results further. We leave it for future work.

However, CLR(CNN) and WLR enable the joint model to type the two entites correctly: “Zumpango” because of the informative suffix “-go” and “Lake Kasumigaura” because of the informative word “Lake”. While some of the remaining errors of our best system MuLR are due to the inherent difficulty of entity typing (e.g., it is difficult to correctly type a one-word entity that occurs once and whose name is not informative), many other errors are due to artifacts of our setup. First, ClueWeb/FACC1 is the result of an automatic entity linking system and any entity linking errors propagate to our models. Second, due to the incompleteness of Freebase  , many entities in the FIGMENT dataset are incompletely annotated, resulting in correctly typed entities being evaluated as incorrect. Adding another source: description-based embeddings. While in this paper, we focus on the contexts and names of entities, there is a textual source of information about entities in KBs which we can also make use of: descriptions of entities. We extract Wikipedia descriptions of FIGMENT entities filtering out the entities ( $\sim $ 40,000 out of $\sim $ 200,000) without description.

Fine-grained entity typing	Given (i) a KB with a set of entities $E$ , (ii) a set of types $T$ , and (iii) a large corpus $C$ in which mentions of $E$ are linked, we address the task of fine-grained entity typing  : predict whether entity $e$ is a member of type $t$ or not. To do so, we use a set of training examples to learn $P(t|e)$ : the probability that entity $e$ has type $t$ . These probabilities can be used to assign new types to entities covered in the KB as well as typing unknown entities. We learn $P(t|e)$ with a general architecture; see Figure 1 . The output layer has size $|T|$ . Unit $t$ of this layer outputs the probability for type $t$ . “Entity Representation” ( $\vec{v}(e)$ ) is the vector representation of entity $e$ – we will describe in detail in the rest of this section what forms $\vec{v}(e)$ takes.

Related Work	Entity representation. Two main sources of information used for learning entity representation are: (i) links and descriptions in KB, (ii) name and contexts in corpora. We focus on name and contexts in corpora, but we also include (Wikipedia) descriptions. We represent entities on three levels: entity, word and character. Our entity-level representation is similar to work on relation extraction  ,  , entity linking  ,  , and entity typing  . Our word-level representation with distributional word embeddings is similarly used to represent entities for entity linking  and relation extraction  ,  . Novel entity representation methods we introduce in this paper are representation based on fasttext  subword embeddings, several character-level representations, “order-aware” entity-level embeddings and the combination of several different representations into one multi-level representation. Character-subword level neural networks. Character-level convolutional neural networks (CNNs) are applied by Santos14pos to part of speech (POS) tagging, by Santos15ner, ma2016, and chiu2016 to named entity recognition (NER), by Zhang15ch and Zhang15scratch to sentiment analysis and text categorization, and by kim15 to language modeling (LM).

Representations from entity names, i.e., WLR and CLR, by themselves are limited because many classes of names can be used for different types of entities; e.g., person names do not contain hints as to whether they are referring to a politician or athlete. In contrast, the ELR embedding is based on an entity's contexts, which are often informative for each entity and can distinguish politicians from athletes. On the other hand, not all entities have sufficiently many informative contexts in the corpus. For these entities, their name can be a complementary source of information and character/word level representations can increase typing accuracy. Thus, we introduce joint models that use combinations of the three levels. Each multi-level model concatenates several levels. We train the constituent embeddings as follows. WLR and ELR are computed as described above and are not changed during training. CLR – produced by one of the character-level networks described above – is initialized randomly and then tuned during training. Thus, it can focus on complementary information related to the task that is not already present in other levels. The schematic diagram of our multi-level representation is shown in Figure 3 .

We refer to entity embeddings as entity-level representations. Previously, entity embeddings have been learned mostly using bag-of-word models like word2vec (e.g., by Wang14joint and yyhs15fig). We show below that order information is critical for high-quality entity embeddings. Entity-level representations are often uninformative for rare entities, so that using only entity embeddings is likely to produce poor results. In this paper, we use entity names as a source of information that is complementary to entity embeddings. We define an entity name as a noun phrase that is used to refer to an entity. We learn character and word level representations of entity names. For the character-level representation, we adopt different character-level neural network architectures. Our intuition is that there is sub/cross word information, e.g., orthographic patterns, that is helpful to get better entity representations, especially for rare entities. A simple example is that a three-token sequence containing an initial like “P.” surrounded by two capitalized words (“Rolph P. Kugl”) is likely to refer to a person. We compute the word-level representation as the sum of the embeddings of the words that make up the entity name.

We address a problem setting in which the following are given: a KB with a set of entities $E$ , a set of types $T$ and a membership function $m: E \times T \mapsto \lbrace 0,1\rbrace $ such that $m(e,t)=1$ iff entity $e$ has type $t$ ; and a large corpus $C$ in which mentions of $E$ are annotated. In this setting, we address the task of fine-grained entity typing: we want to learn a probability function $S(e,t)$ for a pair of entity $e$ and type $T$0 and based on $T$1 infer whether $T$2 holds, i.e., whether entity $T$3 is a member of type $T$4 . We address this problem by learning a multi-level representation for an entity that contains the information necessary for typing it. One important source is the contexts in which the entity is used. We can take the standard method of learning embeddings for words and extend it to learning embeddings for entities. This requires the use of an entity linker and can be implemented by replacing all occurrences of the entity by a unique token.

Analysis	Unknown vs. known entities. To analyze the complementarity of character and word level representations, as well as more fine-grained comparison of our models and the baselines, we divide test entities into known entities – at least one word of the entity's name appears in a train entity – and unknown entities (the complement). There are 45,000 (resp. 15,000) known (resp. unknown) test entities. Table 2 shows that the CNN works only slightly better (by 0.3%) than NSL on known entities, but works much better on unknown entities (by 3.3%), justifying our preference for deep learning CLR models. As expected, BOW works relatively well for known entities and really poorly for unknown entities. SWLR beats CLR models as well as BOW. The reason is that in our setup, word embeddings are induced on the entire corpus using an unsupervised algorithm. Thus, even for many words that did not occur in train, SWLR has access to informative representations of words. The joint model, SWLR+CLR(CNN), is significantly better than BOW+CLR(NSL) again due to limits of BOW.

Setup	Entity datasets and corpus. We address the task of fine-grained entity typing and use yyhs15fig's FIGMENT dataset for evaluation. The FIGMENT corpus is part of a version of ClueWeb in which Freebase entities are annotated using FACC1  ,  . The FIGMENT entity datasets contain 200,000 Freebase entities that were mapped to 102 FIGER types  . We use the same train (50%), dev (20%) and test (30%) partitions as yyhs15fig and extract the names from mentions of dataset entities in the corpus. We take the most frequent name for dev and test entities and three most frequent names for train (each one tagged with entity types). Adding parent types to refine entity dataset. FIGMENT ignores that FIGER is a proper hierarchy of types; e.g., while hospital is a subtype of building according to FIGER, there are entities in FIGMENT that are hospitals, but not buildings. Therefore, we modified the FIGMENT dataset by adding for each assigned type (e.g., hospital) its parents (e.g., building). This makes FIGMENT more consistent and eliminates spurious false negatives (building in the example).

Interestingly WWLR+CLR works better than SWLR+CLR and this suggests that WWLR is indeed richer than SWLR when CLR mitigates its problem with rare/unknown words Entity-level models are on lines 14–15 and they are better than all previous models on lines 1–13. This shows the power of entity-level embeddings. In Figure 4 , a t-SNE  visualization of ELR(SKIP) embeddings using different colors for entity types shows that entities of the same type are clustered together. SSKIP works marginally better than SKIP for ELR, especially for tail entities, confirming our hypothesis that order information is important for a good distributional entity representation. This is also confirming the results of derata16acl, where they also get better entity typing results with SSKIP compared to SKIP. They propose to use entity typing as an extrinsic evaluation for embedding models. Joint entity, word, and character level models are on lines 16-23. The AGG-FIGER baseline works better than the systems on lines 1-13, but worse than ELRs.

FIGMENT is the model for entity typing presented by yyhs15fig. The authors only use entity-level representations for entities trained by SkipGram, so the FIGMENT baseline corresponds to the entity-level result shown as ELR(SKIP) in the tables. The third baseline is using an existing mention-level entity typing system, FIGER  . FIGER uses a wide variety of features on different levels (including parsing-based features) from contexts of entity mentions as well as the mentions themselves and returns a score for each mention-type instance in the corpus. We provide the ClueWeb/FACC1 segmentation of entities, so FIGER does not need to recognize entities. We use the trained model provided by the authors and normalize FIGER scores using softmax to make them comparable for aggregation. We experimented with different aggregation functions (including maximum and k-largest-scores for a type), but we use the average of scores since it gave us the best result on dev. We call this baseline AGG-FIGER. Distributional embeddings. For WWLR and ELR, we use SkipGram model in word2vec and SSkip model in wang2vec  to learn embeddings for words, entities and types.

Entity-level representation	Distributional representations or embeddings are commonly used for words. The underlying hypothesis is that words with similar meanings tend to occur in similar contexts  and therefore cooccur with similar context words. We can extend the distributional hypothesis to entities (cf. Wang14joint, yyhs15fig): entities with similar meanings tend to have similar contexts. Thus, we can learn a $d$ dimensional embedding $\vec{v}(e)$ of entity $e$ from a corpus in which all mentions of the entity have been replaced by a special identifier. We refer to these entity vectors as the entity level representation (ELR). In previous work, order information of context words (relative position of words in the contexts) was generally ignored and objectives similar to the SkipGram (henceforth: SKIP) model were used to learn $\vec{v}(e)$ . However, the bag-of-word context is difficult to distinguish for pairs of types like (restaurant,food) and (author,book). This suggests that using order aware embedding models is important for entities. Therefore, we apply wang2vec15's extended version of SKIP, Structured SKIP (SSKIP).

FGMT classifies single mentions of named entities to their context dependent types whereas we attempt to identify all types of a KB entity from the aggregation of all its mentions. FGMT can still be evaluated in our task by aggregating the mention level decisions but as we will show in our experiments for one system, i.e., FIGER  , our entity embedding based models are better in entity typing.

To obtain embeddings for all three in the same space, we process ClueWeb/FACC1 as follows. For each sentence $s$ , we add three copies: $s$ itself, a copy of $s$ in which each entity is replaced with its Freebase identifier (MID) and a copy in which each entity (not test entities though) is replaced with an ID indicating its notable type. The resulting corpus contains around 4 billion tokens and 1.5 billion types. We run SKIP and SSkip with the same setup (200 dimensions, 10 negative samples, window size 5, word frequency threshold of 100) on this corpus to learn embeddings for words, entities and FIGER types. Having entities and types in the same vector space, we can add another feature vector $\vec{v}(e) \in \mathbb {R}^{|T|}$ (referred to as TC below): for each entity, we compute cosine similarity of its entity vector with all type vectors. For SWLR, we use fasttext to learn word embeddings from the ClueWeb/FACC1 corpus.

We use similar settings as our WWLR SKIP and SSkip embeddings and keep the defaults of other hyperparameters. Since the trained model of fasttext is applicable for new words, we apply the model to get embeddings for the filtered rare words as well. Our hyperparameter values are given in Table 1 . The values are optimized on dev. We use AdaGrad and minibatch training. For each experiment, we select the best model on dev. We use these evaluation measures: (i) accuracy: an entity is correct if all its types and no incorrect types are assigned to it; (ii) micro average $F_1$ : $F_1$ of all type-entity assignment decisions; (iii) entity macro average $F_1$ : $F_1$ of types assigned to an entity, averaged over entities; (iv) type macro average $F_1$ : $F_1$ of entities assigned to a type, averaged over types. The assignment decision is based on thresholding the probability function $P(t|e)$ . For each model and type, we select the threshold that maximizes $F_1$ of entities assigned to the type on dev.

Character-level representation	For computing the character level representation (CLR), we design models that try to type an entity based on the sequence of characters of its name. Our hypothesis is that names of entities of a specific type often have similar character patterns. Entities of type ethnicity often end in “ish” and “ian”, e.g., “Spanish” and “Russian”. Entities of type medicine often end in “en”: “Lipofen”, “acetaminophen”. Also, some types tend to have specific cross-word shapes in their entities, e.g., person names usually consist of two words, or music names are usually long, containing several words. The first layer of the character-level models is a lookup table that maps each character to an embedding of size $d_c$ . These embeddings capture similarities between characters, e.g., similarity in type of phoneme encoded (consonant/vowel) or similarity in case (lower/upper). The output of the lookup layer for an entity name is a matrix $C \in \mathbb {R}^{l
\times d_c}$ where $l$ is the maximum length of a name and all names are padded to length $l$ .

Introduction	Knowledge about entities is essential for understanding human language. This knowledge can be attributional (e.g., canFly, isEdible), type-based (e.g., isFood, isPolitician, isDisease) or relational (e.g, marriedTo, bornIn). Knowledge bases (KBs) are designed to store this information in a structured way, so that it can be queried easily. Examples of such KBs are Freebase  , Wikipedia, Google knowledge graph and YAGO  . For automatic updating and completing the entity knowledge, text resources such as news, user forums, textbooks or any other data in the form of text are important sources. Therefore, information extraction methods have been introduced to extract knowledge about entities from text. In this paper, we focus on the extraction of entity types, i.e., assigning types to – or typing – entities. Type information can help extraction of relations by applying constraints on relation arguments.

We get a further boost, especially for tail entities, by also including TC (type cosine) in the combinations (lines 22-23). This demonstrates the potential advantage of having a common representation space for entities and types. Our best model, ELR+SWLR+CLR+TC (line 22), which we refer to as MuLR in the other tables, beats our initial baselines (ELR and AGG-FIGER) by large margins, e.g., in tail entities improvements are more than 8% in micro F1. Table 2 shows type macro $F_1$ for MuLR (ELR+SWLR+CLR+TC) and two baselines. There are 11 head types (those with $\ge $ 3000 train entities) and 36 tail types (those with $<$ 200 train entities). These results again confirm the superiority of our multi-level models over the baselines: AGG-FIGER and ELR, the best single-level model baseline.

Word-level representation	Words inside entity names are important sources of information for typing entities. We define the word-level representation (WLR) as the average of the embeddings of the words that the entity name contains $
\vec{v}(e) = 1/n \sum _{i=1}^n \vec{v}(w_i)
$  where $\vec{v}(w_i)$ is the embedding of the $i\mbox{$^{\hbox{\scriptsize th}}$}$ word of an entity name of length $n$ . We opt for simple averaging since entity names often consist of a small number of words with clear semantics. Thus, averaging is a promising way of combining the information that each word contributes. The word embedding, $\vec{w}$ , itself can be learned from models with different granularity levels. Embedding models that consider words as atomic units in the corpus, e.g., SKIP and SSKIP, are word-level. On the other hand, embedding models that represent words with their character ngrams, e.g., fasttext  , are subword-level. Based on this, we consider and evaluate word-level WLR (WWLR) and subword-level WLR (SWLR) in this paper.

SWLR+CLR(CNN) is better than SWLR in unknown entities. Case study of living-thing. To understand the interplay of different levels better, we perform a case study of the type living-thing. Living beings that are not humans belong to this type. WLRs incorrectly assign “Walter Leaf” (person) and “Along Came A Spider” (music) to living-thing because these names contain a word referring to a living-thing (“leaf”, “spider”), but the entity itself is not a living-thing. In these cases, the averaging of embeddings that WLR performs is misleading. The CLR(CNN) types these two entities correctly because their names contain character ngram/shape patterns that are indicative of person and music. ELR incorrectly assigns “Zumpango” (city) and “Lake Kasumigaura” (location) to living-thing because these entities are rare and words associated with living things (e.g., “wildlife”) dominate in their contexts.

This length $l$ includes special start/end characters that bracket the entity name. We experiment with four architectures to produce character-level representations in this paper: FORWARD (direct forwarding of character embeddings), CNNs, LSTMs and BiLSTMs. The output of each architecture then takes the place of the entity representation $\vec{v}(e)$ in Figure 1 . FORWARD simply concatenates all rows of matrix $C$ ; thus, $\vec{v}(e) \in \mathbb {R}^{d_c*l}$ . The CNN uses $k$ filters of different window widths $w$ to narrowly convolve $C$ .

$\textbf {W}\mbox{$_{\hbox{\scriptsize out}}$} \in \mathbb {R}^{|T| \times h} $ is the weight matrix from hidden layer to output layer of size $|T|$ . $\sigma $ is the sigmoid function. Our objective is binary cross entropy summed over types: $
\sum _{t}{-\Big (m_t \log {p_t} +
(1 - m_t) \log {(1 - p_t)} \Big )}
$  where $m_t$ is the truth and $p_t$ the prediction. The key difficulty when trying to compute $P(t|e)$ is in learning a good representation for entity $e$ . We make use of contexts and name of $e$ to represent its feature vector on the three levels of entity, word and character.

This is probably due to the fact that AGG-FIGER is optimized for mention typing and it is trained using distant supervision assumption. Parallel to our work, ourjoint2017 optimize a mention typing model for our entity typing task by introducing multi instance learning algorithms, resulting comparable performance to ELR(SKIP). We will investigate their method in future. Joining CLR with ELR (line 17) results in large improvements, especially for tail entities (5% micro $F_1$ ). This demonstrates that for rare entities, contextual information is often not sufficient for an informative representation, hence name features are important. This is also true for the joint models of WWLR/SWLR and ELR (lines 18-19). Joining WWLR works better than CLR, and SWLR is slightly better than WWLR. Joint models of WWLR/SWLR with ELR+CLR gives more improvements, and SWLR is again slightly better than WWLR. ELR+WWLR+CLR and ELR+SWLR+CLR, are better than their two-level counterparts, again confirming that these levels are complementary.

Results	Table 2 gives results on the test entities for all (about 60,000 entities), head (frequency $>$ 100; about 12,200) and tail (frequency $<$ 5; about 10,000). MFT (line 1) is the most frequent type baseline that ranks types according to their frequency in the train entities. Each level of representation is separated with dashed lines, and – unless noted otherwise – the best of each level is joined in multi level representations. Character-level models are on lines 2-6. The order of systems is: CNN $>$ NSL $>$ BiLSTM $>$ LSTM $>$ FORWARD. The results show that complex neural networks are more effective than simple forwarding. BiLSTM works better than LSTM, confirming other related work. CNNs probably work better than LSTMs because there are few complex non-local dependencies in the sequence, but many important local features. CNNs with maxpooling can more straightforwardly capture local and position-independent features. CNN also beats NSL baseline; a possible reason is that CNN – an automatic method of feature learning – is more robust than hand engineered feature based NSL.

We now describe our baselines: (i) BOW & NSL: hand-crafted features, (ii) FIGMENT  and (iii) adapted version of FIGER  . We implement the following two feature sets from the literature as a hand-crafted baseline for our character and word level models. (i) BOW: individual words of entity name (both as-is and lowercased); (ii) NSL (ngram-shape-length): shape and length of the entity name (cf. ling2012fine), character $n$ -grams, $1 \le n \le n\mbox{$_{\hbox{\scriptsize max}}$}, n\mbox{$_{\hbox{\scriptsize max}}$}=5$ (we also tried $n\mbox{$_{\hbox{\scriptsize max}}$}=7$ , but results were worse on dev) and normalized character $n$ -grams: lowercased, digits replaced by “7”, punctuation replaced by “.”. These features are represented as a sparse binary vector $\vec{v}(e)$ that is input to the architecture in Figure 1 .

The input to the LSTM is the character sequence in matrix $C$ , i.e., $x_1,\dots ,x_l \in \mathbb {R}^{d_c}$ . It generates the state sequence $h_1, . . . ,h_{l+1}$ and the output is the last state $\vec{v}(e) \in \mathbb {R}^{d_h}$ . The BiLSTM consists of two LSTMs, one going forward, one going backward. The first state of the backward LSTM is initialized as $h_{l+1}$ , the last state of the forward LSTM. The BiLSTM entity representation is the concatenation of last states of forward and backward LSTMs, i.e., $\vec{v}(e) \in \mathbb {R}^{2 * d_h}$ .

We show more detailed results in Section "Analysis" . Word-level models are on lines 7-10. BOW performs worse than WWLR because it cannot deal well with sparseness. SSKIP uses word order information in WWLR and performs better than SKIP. SWLR uses subword information and performs better than WWLR, especially for tail entities. Integrating subword information improves the quality of embeddings for rare words and mitigates the problem of unknown words. Joint word-character level models are on lines 11-13. WWLR+CLR(CNN) and SWLR+CLR(CNN) beat the component models. This confirms our underlying assumption in designing the complementary multi-level models. BOW problem with rare words does not allow its joint model with NSL to work better than NSL. WWLR+CLR(CNN) works better than BOW+CLR(NSL) by 10% micro $F_1$ , again due to the limits of BOW compared to WWLR.

It incorporates the order of context words into the objective. We compare it with SKIP embeddings in our experiments.

For each filter $H \in \mathbb {R}^{d_c\times w}$ , the result of the convolution of $H$ over matrix $C$ is feature map $f \in \mathbb {R}^{l-w+1}$ :  $f[i] = \mbox{rectifier}(C_{[:, i : i + w - 1]} \odot H + b)$  where rectifier is the activation function, $b$ is the bias, $C_{[:, i : i + w - 1]}$ are the columns $i$ to $i + w - 1$ of $C$ , $ 1\le w\le 10$ are the window widths we consider and $\odot $ is the sum of element-wise multiplication. Max pooling then gives us one feature for each filter. The concatenation of all these features is our representation: $\vec{v}(e) \in \mathbb {R}^{k}$ . An example CNN architecture is show in Figure 2 .

We model $P(t|e)$ as a multi-label classification, and train a multilayer perceptron (MLP) with one hidden layer:  $$\big [ P(t_1|e) \ldots P(t_T|e) \big ]
= \sigma \Big (\textbf {W}\mbox{$_{\hbox{\scriptsize out}}$} f\big (\textbf {W}\mbox{$_{\hbox{\scriptsize in}}$}\vec{v}(e)\big )\Big )$$   (Eq. 5)  where $\textbf {W}\mbox{$_{\hbox{\scriptsize in}}$} \in \mathbb {R}^{h\times d} $ is the weight matrix from $\vec{v}(e) \in \mathbb {R}^d$ to the hidden layer with size $h$ . $f$ is the rectifier function.

Question: How do you find the entity descriptions?
Answer: Wikipedia