12 research outputs found
Full Flow: Optical Flow Estimation By Global Optimization over Regular Grids
We present a global optimization approach to optical flow estimation. The
approach optimizes a classical optical flow objective over the full space of
mappings between discrete grids. No descriptor matching is used. The highly
regular structure of the space of mappings enables optimizations that reduce
the computational complexity of the algorithm's inner loop from quadratic to
linear and support efficient matching of tens of thousands of nodes to tens of
thousands of displacements. We show that one-shot global optimization of a
classical Horn-Schunck-type objective over regular grids at a single resolution
is sufficient to initialize continuous interpolation and achieve
state-of-the-art performance on challenging modern benchmarks.Comment: To be presented at CVPR 201
Scalable Full Flow with Learned Binary Descriptors
We propose a method for large displacement optical flow in which local
matching costs are learned by a convolutional neural network (CNN) and a
smoothness prior is imposed by a conditional random field (CRF). We tackle the
computation- and memory-intensive operations on the 4D cost volume by a
min-projection which reduces memory complexity from quadratic to linear and
binary descriptors for efficient matching. This enables evaluation of the cost
on the fly and allows to perform learning and CRF inference on high resolution
images without ever storing the 4D cost volume. To address the problem of
learning binary descriptors we propose a new hybrid learning scheme. In
contrast to current state of the art approaches for learning binary CNNs we can
compute the exact non-zero gradient within our model. We compare several
methods for training binary descriptors and show results on public available
benchmarks.Comment: GCPR 201
Maximum Persistency via Iterative Relaxed Inference with Graphical Models
We consider the NP-hard problem of MAP-inference for undirected discrete
graphical models. We propose a polynomial time and practically efficient
algorithm for finding a part of its optimal solution. Specifically, our
algorithm marks some labels of the considered graphical model either as (i)
optimal, meaning that they belong to all optimal solutions of the inference
problem; (ii) non-optimal if they provably do not belong to any solution. With
access to an exact solver of a linear programming relaxation to the
MAP-inference problem, our algorithm marks the maximal possible (in a specified
sense) number of labels. We also present a version of the algorithm, which has
access to a suboptimal dual solver only and still can ensure the
(non-)optimality for the marked labels, although the overall number of the
marked labels may decrease. We propose an efficient implementation, which runs
in time comparable to a single run of a suboptimal dual solver. Our method is
well-scalable and shows state-of-the-art results on computational benchmarks
from machine learning and computer vision.Comment: Reworked version, submitted to PAM
A Primal-Dual Solver for Large-Scale Tracking-by-Assignment
We propose a fast approximate solver for the combinatorial problem known as
tracking-by-assignment, which we apply to cell tracking. The latter plays a key
role in discovery in many life sciences, especially in cell and developmental
biology. So far, in the most general setting this problem was addressed by
off-the-shelf solvers like Gurobi, whose run time and memory requirements
rapidly grow with the size of the input. In contrast, for our method this
growth is nearly linear.
Our contribution consists of a new (1) decomposable compact representation of
the problem; (2) dual block-coordinate ascent method for optimizing the
decomposition-based dual; and (3) primal heuristics that reconstructs a
feasible integer solution based on the dual information. Compared to solving
the problem with Gurobi, we observe an up to~60~times speed-up, while reducing
the memory footprint significantly. We demonstrate the efficacy of our method
on real-world tracking problems.Comment: 23rd International Conference on Artificial Intelligence and
Statistics (AISTATS), 202