There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Probability Distributions.- Linear Models for Regression.- Linear Models for Classification.- Neural Networks.- Kernel Methods.- Sparse Kernel Machines.- Graphical Models.- Mixture Models and EM.- Approximate Inference.- Sampling Methods.- Continuous Latent Variables.- Sequential Data.- Combining Models.

Pattern Recognition and Machine Learning

Data Mining - Concepts and Techniques.

In several distributed systems a user should only be able to access data if a user posses a certain set of credentials or attributes. Currently, the only method for enforcing such policies is to employ a trusted server to store the data and mediate access control. However, if any server storing the data is compromised, then the confidentiality of the data will be compromised. In this paper we present a system for realizing complex access control on encrypted data that we call ciphertext-policy attribute-based encryption. By using our techniques encrypted data can be kept confidential even if the storage server is untrusted; moreover, our methods are secure against collusion attacks. Previous attribute-based encryption systems used attributes to describe the encrypted data and built policies into user's keys; while in our system attributes are used to describe a user's credentials, and a party encrypting data determines a policy for who can decrypt. Thus, our methods are conceptually closer to traditional access control methods such as role-based access control (RBAC). In addition, we provide an implementation of our system and give performance measurements.

/pdf/ciphertext-policy-attribute-based-encryption-q09jxdyx4n.pdf

Ciphertext-Policy Attribute-Based Encryption

In 1974 an article appeared in Science magazine with the dry-sounding title “Judgment Under Uncertainty: Heuristics and Biases” by a pair of psychologists who were not well known outside their discipline of decision theory. In it Amos Tversky and Daniel Kahneman introduced the world to Prospect Theory, which mapped out how humans actually behave when faced with decisions about gains and losses, in contrast to how economists assumed that people behave. Prospect Theory turned Economics on its head by demonstrating through a series of ingenious experiments that people are much more concerned with losses than they are with gains, and that framing a choice from one perspective or the other will result in decisions that are exactly the opposite of each other, even if the outcomes are monetarily the same. Prospect Theory led cognitive psychology in a new direction that began to uncover other human biases in thinking that are probably not learned but are part of our brain’s wiring.

Thinking fast and slow.

Trust management is a form of distributed access control that allows one principal to delegate some access decisions to other principals. While the use of delegation greatly enhances flexibility and scalability, it may also reduce the control that a principal has over the resources it owns. Security analysis asks whether safety, availability, and other properties can be maintained while delegating to partially trusted principals. We show that in contrast to the undecidability of classical Harrison--Ruzzo--Ullman safety properties, our primary security properties are decidable. In particular, most security properties we study are decidable in polynomial time. The computational complexity of containment analysis, the most complicated security property we study, varies according to the expressive power of the trust management language.

http://theory.stanford.edu/people/jcm/papers/analysis_j.pdf

Beyond proof-of-compliance: security analysis in trust management

We introduce a novel privacy framework that we call Membership Privacy. The framework includes positive membership privacy, which prevents the adversary from significantly increasing its ability to conclude that an entity is in the input dataset, and negative membership privacy, which prevents leaking of non-membership. These notions are parameterized by a family of distributions that captures the adversary's prior knowledge. The power and flexibility of the proposed framework lies in the ability to choose different distribution families to instantiate membership privacy. Many privacy notions in the literature are equivalent to membership privacy with interesting distribution families, including differential privacy, differential identifiability, and differential privacy under sampling. Casting these notions into the framework leads to deeper understanding of the strengthes and weaknesses of these notions, as well as their relationships to each other. The framework also provides a principled approach to developing new privacy notions under which better utility can be achieved than what is possible under differential privacy.

Membership privacy: a unifying framework for privacy definitions

Separation of Duty (SoD) is widely considered to be a fundamental principle in computer security. A Static SoD (SSoD) policy states that in order to have all permissions necessary to complete a sensitive task, the cooperation of at least a certain number of users is required. In Role-Based Access Control (RBAC), Statically Mutually Exclusive Role (SMER) constraints are used to enforce SSoD policies. In this paper, we pose and answer fundamental questions related to the use of SMER constraints to enforce SSoD policies. We show that directly enforcing SSoD policies is intractable (coNP-complete), while checking whether an RBAC state satisfies a set of SMER constraints is efficient. Also, we show that verifying whether a given set of SMER constraints enforces an SSoD policy is intractable (coNP-complete) and discuss why this intractability result should not lead us to conclude that SMER constraints are not an appropriate mechanism for enforcing SSoD policies.We show also how to generate SMER constraints that are as accurate as possible for enforcing an SSoD policy.

/pdf/on-mutually-exclusive-roles-and-separation-of-duty-lggd6u4ftm.pdf

On mutually-exclusive roles and separation of duty

The notion of Local Differential Privacy (LDP) enables users to respond to sensitive questions while preserving their privacy. The basic LDP frequent oracle (FO) protocol enables an aggregator to estimate the frequency of any value. But when each user has a set of values, one needs an additional padding and sampling step to find the frequent values and estimate their frequencies. In this paper, we formally define such padding and sample based frequency oracles (PSFO). We further identify the privacy amplification property in PSFO. As a result, we propose SVIM, a protocol for finding frequent items in the set-valued LDP setting. Experiments show that under the same privacy guarantee and computational cost, SVIM significantly improves over existing methods. With SVIM to find frequent items, we propose SVSM to effectively find frequent itemsets, which to our knowledge has not been done before in the LDP setting.

/pdf/locally-differentially-private-frequent-itemset-mining-42nz9k55kk.pdf

Locally Differentially Private Frequent Itemset Mining

Graph data publishing under node-differential privacy (node-DP) is challenging due to the huge sensitivity of queries. However, since a node in graph data oftentimes represents a person, node-DP is necessary to achieve personal data protection. In this paper, we investigate the problem of publishing the degree distribution of a graph under node-DP by exploring the projection approach to reduce the sensitivity. We propose two approaches based on aggregation and cumulative histogram to publish the degree distribution. The experiments demonstrate that our approaches greatly reduce the error of approximating the true degree distribution and have significant improvement over existing works. We also present the introspective analysis for understanding the factors of publishing the degree distribution with node-DP.

https://dl.acm.org/doi/pdf/10.1145/2882903.2926745

Ninghui Li

Papers

Beyond proof-of-compliance: security analysis in trust management

Membership privacy: a unifying framework for privacy definitions

On mutually-exclusive roles and separation of duty

Locally Differentially Private Frequent Itemset Mining

Publishing Graph Degree Distribution with Node Differential Privacy