**Deformable RoI Pooling** adds an offset to each bin position in the regular bin partition of the RoI Pooling. Similarly, the offsets are learned from the preceding feature maps and the RoIs, enabling adaptive part localization for objects with different shapes.

**Neural Oblivious Decision Ensembles (NODE)** is a tabular data architecture that consists of differentiable
oblivious decision trees (ODT) that are trained end-to-end by backpropagation. 

The core building block is a Neural Oblivious Decision Ensemble (NODE) layer. The layer is composed of $m$ differentiable oblivious decision trees (ODTs) of equal depth $d$. As an input, all $m$ trees get a common vector $x \in \mathbb{R}^{n}$, containing $n$ numeric features. Below we describe a design of a single differentiable ODT.

In its essence, an ODT is a decision table that splits the data along $d$ splitting features and compares each feature to a learned threshold. Then, the tree returns one of the $2^{d}$ possible responses, corresponding to the comparisons result. Therefore, each ODT is completely determined by its splitting features $f \in \mathbb{R}^{d}$, splitting thresholds $b \in \mathbb{R}^{d}$ and a $d$-dimensional tensor of responses $R \in \mathbb{R} \underbrace{2 \times 2 \times 2}_{d}$. In this notation, the tree output is defined as:

$$
h(x)=R\left[\mathbb{1}\left(f\_{1}(x)-b_{1}\right), \ldots, \mathbb{1}\left(f\_{d}(x)-b\_{d}\right)\right]
$$
where $\mathbb{1}(\cdot)$ denotes the Heaviside function.

NODE

Neural Oblivious Decision Ensembles for Deep Learning on Tabular Data

Deformable RoI Pooling

Deformable Convolutional Networks

Proposes a two-tower pre-training model called BriVL within the cross-modal contrastive learning framework. A cross-modal pre-training model is defined based on the image-text retrieval task. The main goal is thus to learn two encoders that can embed image and text samples into the same space for effective image-text retrieval. To enforce such cross-modal embedding learning, we introduce contrastive learning with the InfoNCE loss into the BriVL model. Given text embedding, the learning objective aims to find the best image embedding from a batch of image embeddings. Similarly, for a given image embedding, the learning objective is to find the best text embedding from a batch of text embeddings. The pre-training model learns a cross-modal embedding space by jointly training the image and text encoders to maximize the cosine similarity of the image and text embeddings of the true pair for each sample in the batch while minimizing the cosine similarity of the embeddings of the other incorrect pairs.

Source	Deformable Convolutional Networks
Year	2000
Data Source	CC BY-SA - https://paperswithcode.com