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Title: Area Attention

Paper content:
Existing attention mechanisms, are mostly item-based in that a model is trained to attend to individual items in a collection (the memory) where each item has a predefined, fixed granularity, e.g., a character or a word.
Intuitively, an area in the memory consisting of multiple items can be worth attending to as a whole.
We propose area attention: a way to attend to an area of the memory, where each area contains a group of items that are either spatially adjacent when the memory has a 2-dimensional structure, such as images, or temporally adjacent for 1-dimensional memory, such as natural language sentences.
Importantly, the size of an area, i.e., the number of items in an area or the level of aggregation, is dynamically determined via learning, which can vary depending on the learned coherence of the adjacent items.
By giving the model the option to attend to an area of items, instead of only individual items, a model can attend to information with varying granularity.
Area attention can work along multi-head attention for attending to multiple areas in the memory.
We evaluate area attention on two tasks: neural machine translation (both character and token-level) and image captioning, and improve upon strong (state-of-the-art) baselines in all the cases.
These improvements are obtainable with a basic form of area attention that is parameter free.
In addition to proposing the novel concept of area attention, we contribute an efficient way for computing it by leveraging the technique of summed area tables.
Attentional mechanisms have significantly boosted the accuracy on a variety of deep learning tasks BID0 BID10 BID20 .
They allow the model to selectively focus on specific pieces of information, which can be a word in a sentence for neural machine translation BID0 BID10 or a region of pixels in image captioning BID20 BID13 ).An
attentional mechanism typically follows a memory-query paradigm, where the memory M contains a collection of items of information from a source modality such as the embeddings of an image or the hidden states of encoding an input sentence, and the query q comes from a target modality such as the hidden state of a decoder model. In
recent architectures such as Transformer BID15 , self-attention involves queries and memory from the same modality for either encoder or decoder. Each
item in the memory has a key and value (k i , v i ), where the key is used to compute the probability a i regarding how well the query matches the item (see TAB3 ). DISPLAYFORM0
The typical choices for f att include dot products qk i BID10 and a multilayer perceptron BID0 . The output O
M q from querying the memory M with q is then calculated as the sum of all the values in the memory weighted by their probabilities (see Equation 2), which can be fed to other parts of the model for further calculation. During training
, the model learns to attend to specific piece of information, e.g., the correspondance between a word in the target sentence and a word in the source sentence for translation tasks. DISPLAYFORM1 Attention
mechanisms are typically designed to focus on individual items in the entire memory, where each item defines the granularity of what the model can attend to. For example, it can be
a character for a character-level translation model, a word for a word-level model or a grid cell for an image-based model. Such a construction of
attention granularity is predetermined rather than learned. While this kind of item-based
attention has been helpful for many tasks, it can be fundamentally limited for modeling complex attention distribution that might be involved in a task.In this paper, we propose area attention, as a general mechanism for the model to attend to a group of items in the memory that are structurally adjacent. In area attention, each unit
for attention calculation is an area that can contain one or more than one item. Each of these areas can aggregate
a varying number of items and the granularity of attention is thus learned from the data rather than predetermined. Note that area attention subsumes
item-based attention because when an area contains a single item, it is equivalent to regular attention mechanisms. Area attention can be used along
multi-head attention BID15 . With each head using area attention
, multi-head area attention allows the model to attend to multiple areas in the memory. As we show in the experiments, the
combination of both achieved the best results.Extensive experiments with area attention indicate that area attention outperforms regular attention on a number of recent models for two popular tasks: machine translation (both token and character-level translation on WMT'14 EN-DE and EN-FR), and image captioning (trained on COCO and tested for both in-domain with COCO40 and out-of-domain captioning with Flickr 1K). These models involve several distinct
architectures, such as the canonical LSTM seq2seq with attention BID10 and the encoder-decoder Transformer BID15 BID13 .
In this paper, we present a novel attentional mechanism by allowing the model to attend to areas as a whole.
An area contains one or a group of items in the memory to be attended.
The items in the area are either spatially adjacent when the memory has 2-dimensional structure, such as images, or temporally adjacent for 1-dimensional memory, such as natural language sentences.
Importantly, the size of an area, i.e., the number of items in an area or the level of aggregation, can vary depending on the learned coherence of the adjacent items, which gives the model the ability to attend to information at varying granularity.
Area attention contrasts with the existing attentional mechanisms that are itembased.
We evaluated area attention on two tasks: neural machine translation and image captioning, based on model architectures such as Transformer and LSTM.
On both tasks, we obtained new state-of-the-art results using area attention.

assistant: text: The paper presents a novel approach for attentional mechanisms that can benefit a range of tasks such as machine translation and image captioning.