Perception of categories: from coding efficiency to reaction times

Reaction-times in perceptual tasks are the subject of many experimental and theoretical studies. With the neural decision making process as main focus, most of these works concern discrete (typically binary) choice tasks, implying the identification of the stimulus as an exemplar of a category. Here we address issues specific to the perception of categories (e.g. vowels, familiar faces, ...), making a clear distinction between identifying a category (an element of a discrete set) and estimating a continuous parameter (such as a direction). We exhibit a link between optimal Bayesian decoding and coding efficiency, the latter being measured by the mutual information between the discrete category set and the neural activity. We characterize the properties of the best estimator of the likelihood of the category, when this estimator takes its inputs from a large population of stimulus-specific coding cells. Adopting the diffusion-to-bound approach to model the decisional process, this allows to relate analytically the bias and variance of the diffusion process underlying decision making to macroscopic quantities that are behaviorally measurable. A major consequence is the existence of a quantitative link between reaction times and discrimination accuracy. The resulting analytical expression of mean reaction times during an identification task accounts for empirical facts, both qualitatively (e.g. more time is needed to identify a category from a stimulus at the boundary compared to a stimulus lying within a category), and quantitatively (working on published experimental data on phoneme identification tasks)

Generative Model with Coordinate Metric Learning for Object Recognition Based on 3D Models

Given large amount of real photos for training, Convolutional neural network shows excellent performance on object recognition tasks. However, the process of collecting data is so tedious and the background are also limited which makes it hard to establish a perfect database. In this paper, our generative model trained with synthetic images rendered from 3D models reduces the workload of data collection and limitation of conditions. Our structure is composed of two sub-networks: semantic foreground object reconstruction network based on Bayesian inference and classification network based on multi-triplet cost function for avoiding over-fitting problem on monotone surface and fully utilizing pose information by establishing sphere-like distribution of descriptors in each category which is helpful for recognition on regular photos according to poses, lighting condition, background and category information of rendered images. Firstly, our conjugate structure called generative model with metric learning utilizing additional foreground object channels generated from Bayesian rendering as the joint of two sub-networks. Multi-triplet cost function based on poses for object recognition are used for metric learning which makes it possible training a category classifier purely based on synthetic data. Secondly, we design a coordinate training strategy with the help of adaptive noises acting as corruption on input images to help both sub-networks benefit from each other and avoid inharmonious parameter tuning due to different convergence speed of two sub-networks. Our structure achieves the state of the art accuracy of over 50\% on ShapeNet database with data migration obstacle from synthetic images to real photos. This pipeline makes it applicable to do recognition on real images only based on 3D models.Comment: 14 page

Tree ensemble kernels for Bayesian optimization with known constraints over mixed-feature spaces

Tree ensembles can be well-suited for black-box optimization tasks such as algorithm tuning and neural architecture search, as they achieve good predictive performance with little or no manual tuning, naturally handle discrete feature spaces, and are relatively insensitive to outliers in the training data. Two well-known challenges in using tree ensembles for black-box optimization are (i) effectively quantifying model uncertainty for exploration and (ii) optimizing over the piece-wise constant acquisition function. To address both points simultaneously, we propose using the kernel interpretation of tree ensembles as a Gaussian Process prior to obtain model variance estimates, and we develop a compatible optimization formulation for the acquisition function. The latter further allows us to seamlessly integrate known constraints to improve sampling efficiency by considering domain-knowledge in engineering settings and modeling search space symmetries, e.g., hierarchical relationships in neural architecture search. Our framework performs as well as state-of-the-art methods for unconstrained black-box optimization over continuous/discrete features and outperforms competing methods for problems combining mixed-variable feature spaces and known input constraints.Comment: 27 pages, 9 figures, 4 table

Bayesian optimisation for automated machine learning

In this thesis, we develop a rich family of efficient and performant Bayesian optimisation (BO) methods to tackle various AutoML tasks. We first introduce a fast information-theoretic BO method, FITBO, that overcomes the computation bottleneck of information-theoretic acquisition functions while maintaining their competitiveness on the noisy optimisation problems frequently encountered in AutoML. We then improve on the idea of local penalisation and develop an asynchronous batch BO solution, PLAyBOOK, to enable more efficient use of parallel computing resources when evaluation runtime varies across configurations. In view of the fact that many practical AutoML problems involve a mixture of multiple continuous and multiple categorical variables, we propose a new framework, named Continuous and Categorical BO (CoCaBO) to handle such mixed-type input spaces. CoCaBO merges the strengths of multi-armed bandits on categorical inputs and that of BO on continuous space, and uses a tailored kernel to permit information sharing across different categorical variables. We also extend CoCaBO by harnessing the concept of local trust region to achieve competitive performance on high-dimensional optimisation problems with mixed input types. Beyond hyper-parameter tuning, we also investigate the novel use of BO on two important AutoML applications: black-box adversarial attack and neural architecture search. For the former (adversarial attack), we introduce the first BO-based attacks on image and graph classifiers; by actively querying the unknown victim classifier, our BO attacks can successfully find adversarial perturbations with many fewer attempts than competing baselines. They can thus serve as efficient tools for assessing the robustness of models suggested by AutoML. For the latter (neural architecture search), we leverage the Weisfeiler-Lehamn graph kernel to empower our BO search strategy, NAS-BOWL, to naturally handle the directed acyclic graph representation of architectures. Besides achieving superior query efficiency, our NAS-BOWL also returns interpretable sub-features that help explain the architecture performance, thus marking the first step towards interpretable neural architecture search. Finally, we examine the most computation-intense step in AutoML pipeline: generalisation performance evaluation for a new configuration. We propose a cheap yet reliable test performance estimator based on a simple measure of training speed. It consistently outperforms various existing estimators on on a wide range of architecture search spaces and and can be easily incorporated into different search strategies, including BO, to improve the cost efficiency