We introduce modifications to state-of-the-art approaches to aggregating local video descriptors by using attention mechanisms and function approximations. Rather than using ensembles of existing architectures, we provide an insight on creating new architectures. We demonstrate our solutions in the “The 2nd YouTube-8M Video Understanding Challenge”, by using frame-level video and audio descriptors. We obtain testing accuracy similar to the state of the art, while meeting budget constraints, and touch upon strategies to improve the state of the art. Model implementations are available in https: github.com pomonam LearnablePoolingMethods.
VLAD itself summarizes a set of local descriptors by presenting these descriptors via a distribution @cite_19 . This distribution is encoded in the sum of distances to cluster centres. Specifically, looking at Equation , @math refers to the cluster soft similarity of descriptor @math to the jth cluster center, introduced by NetVLAD to avoid non-differentiable hard assignments. Here, @math refers to a single distance of a local descriptor to a cluster centre. This is a sound technique that is used in many areas @cite_6 , @cite_18 , while achieving state of the art performance in the benchmarks such as @cite_0 .
@cite_0 @cite_19 @cite_18 @cite_6
2103924867 2734881792 2058113271 2018165630
The objective of this paper is large scale object instance retrieval, given a query image. A starting point of such systems is feature detection and description, for example using SIFT. The focus of this paper, however, is towards very large scale retrieval where, due to storage requirements, very compact image descriptors are required and no information about the original SIFT descriptors can be accessed directly at run time. We start from VLAD, the state-of-the art compact descriptor introduced by for this purpose, and make three novel contributions: first, we show that a simple change to the normalization method significantly improves retrieval performance, second, we show that vocabulary adaptation can substantially alleviate problems caused when images are added to the dataset after initial vocabulary learning. These two methods set a new state-of-the-art over all benchmarks investigated here for both mid-dimensional (20k-D to 30k-D) and small (128-D) descriptors. Our third contribution is a multiple spatial VLAD representation, MultiVLAD, that allows the retrieval and localization of objects that only extend over a small part of an image (again without requiring use of the original image SIFT descriptors). Clustering problems are well-studied in a variety of fields such as data science, operations research, and computer science. Such problems include variants of centre location problems, @math -median, and @math -means to name a few. In some cases, not all data points need to be clustered; some may be discarded for various reasons. We study clustering problems with outliers. More specifically, we look at Uncapacitated Facility Location (UFL), @math -Median, and @math -Means. In UFL with outliers, we have to open some centres, discard up to @math points of @math and assign every other point to the nearest open centre, minimizing the total assignment cost plus centre opening costs. In @math -Median and @math -Means, we have to open up to @math centres but there are no opening costs. In @math -Means, the cost of assigning @math to @math is @math . We present several results. Our main focus is on cases where @math is a doubling metric or is the shortest path metrics of graphs from a minor-closed family of graphs. For uniform-cost UFL with outliers on such metrics we show that a multiswap simple local search heuristic yields a PTAS. With a bit more work, we extend this to bicriteria approximations for the @math -Median and @math -Means problems in the same metrics where, for any constant @math , we can find a solution using @math centres whose cost is at most a @math -factor of the optimum and uses at most @math outliers. We also show that natural local search heuristics that do not violate the number of clusters and outliers for @math -Median (or @math -Means) will have unbounded gap even in Euclidean metrics. Furthermore, we show how our analysis can be extended to general metrics for @math -Means with outliers to obtain a @math bicriteria. In recent years, VLAD has become a popular method which encoding powerful local descriptors to the compact representations. By using this approach, an image can be represented by just a few dozen bytes while preserving excellent retrieval results after the dimensionality reduction and compression. However, throwing away the spatial information is one of the biggest weaknesses of VLAD. This paper adopts the spatial pyramid pooling method to incorporate the spatial information into the VLAD vectors. Furthermore, a new normalization method is proposed to hold this advantage. By the proposed method, the performance of VLAD can be boosted through combining spatial information. The experimental results show that our approach outperforms VLAD in almost all configurations. We consider @math -median clustering in finite metric spaces and @math -means clustering in Euclidean spaces, in the setting where @math is part of the input (not a constant). For the @math -means problem, show that if the optimal @math -means clustering of the input is more expensive than the optimal @math -means clustering by a factor of @math , then one can achieve a @math -approximation to the @math -means optimal in time polynomial in @math and @math by using a variant of Lloyd's algorithm. In this work we substantially improve this approximation guarantee. We show that given only the condition that the @math -means optimal is more expensive than the @math -means optimal by a factor @math for some constant @math , we can obtain a PTAS. In particular, under this assumption, for any @math we achieve a @math -approximation to the @math -means optimal in time polynomial in @math and @math , and exponential in @math and @math . We thus decouple the strength of the assumption from the quality of the approximation ratio. We also give a PTAS for the @math -median problem in finite metrics under the analogous assumption as well. For @math -means, we in addition give a randomized algorithm with improved running time of @math . Our technique also obtains a PTAS under the assumption of that all @math approximations are @math -close to a desired target clustering, in the case that all target clusters have size greater than @math and @math is constant. Note that the motivation of is that for many clustering problems, the objective function is only a proxy for the true goal of getting close to the target. From this perspective, our improvement is that for @math -means in Euclidean spaces we reduce the distance of the clustering found to the target from @math to @math when all target clusters are large, and for @math -median we improve the largeness'' condition needed in the work of to get exactly @math -close from @math to @math . Our results are based on a new notion of clustering stability.