Now showing items 1-7 of 7

    • Biologically Inspired Mechanisms for Adversarial Robustness 

      Vuyyuru Reddy, Manish; Banburski, Andrzej; Plant, Nishka; Poggio, Tomaso (Center for Brains, Minds and Machines (CBMM), 2020-06-23)
      A convolutional neural network strongly robust to adversarial perturbations at reasonable computational and performance cost has not yet been demonstrated. The primate visual ventral stream seems to be robust to small ...
    • Cross-validation Stability of Deep Networks 

      Banburski, Andrzej; De La Torre, Fernanda; Plant, Nishka; Shastri, Ishana; Poggio, Tomaso (Center for Brains, Minds and Machines (CBMM), 2021-02-09)
      Recent theoretical results show that gradient descent on deep neural networks under exponential loss functions locally maximizes classification margin, which is equivalent to minimizing the norm of the weight matrices under ...
    • Double descent in the condition number 

      Poggio, Tomaso; Kur, Gil; Banburski, Andrzej (Center for Brains, Minds and Machines (CBMM), 2019-12-04)
      In solving a system of n linear equations in d variables Ax=b, the condition number of the (n,d) matrix A measures how much errors in the data b affect the solution x. Bounds of this type are important in many inverse ...
    • Dreaming with ARC 

      Banburski, Andrzej; Ghandi, Anshula; Alford, Simon; Dandekar, Sylee; Chin, Peter; e.a. (Center for Brains, Minds and Machines (CBMM), 2020-11-23)
      Current machine learning algorithms are highly specialized to whatever it is they are meant to do –– e.g. playing chess, picking up objects, or object recognition. How can we extend this to a system that could solve a ...
    • Hierarchically Local Tasks and Deep Convolutional Networks 

      Deza, Arturo; Liao, Qianli; Banburski, Andrzej; Poggio, Tomaso (Center for Brains, Minds and Machines (CBMM), 2020-06-24)
      The main success stories of deep learning, starting with ImageNet, depend on convolutional networks, which on certain tasks perform significantly better than traditional shallow classifiers, such as support vector machines. ...
    • PCA as a defense against some adversaries 

      Aparne, Gupta; Banburski, Andrzej; Poggio, Tomaso (Center for Brains, Minds and Machines (CBMM), 2022-03-30)
      Neural network classifiers are known to be highly vulnerable to adversarial perturbations in their inputs. Under the hypothesis that adversarial examples lie outside of the sub-manifold of natural images, previous work has ...
    • Theoretical Issues in Deep Networks 

      Poggio, Tomaso; Banburski, Andrzej; Liao, Qianli (Center for Brains, Minds and Machines (CBMM), 2019-08-17)
      While deep learning is successful in a number of applications, it is not yet well understood theoretically. A theoretical characterization of deep learning should answer questions about their approximation power, the ...