Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
119 tokens/sec
GPT-4o
56 tokens/sec
Gemini 2.5 Pro Pro
43 tokens/sec
o3 Pro
6 tokens/sec
GPT-4.1 Pro
47 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Personalized Social Recommendations - Accurate or Private? (1105.4254v1)

Published 21 May 2011 in cs.DB, cs.CR, and cs.SI

Abstract: With the recent surge of social networks like Facebook, new forms of recommendations have become possible - personalized recommendations of ads, content, and even new friend and product connections based on one's social interactions. Since recommendations may use sensitive social information, it is speculated that these recommendations are associated with privacy risks. The main contribution of this work is in formalizing these expected trade-offs between the accuracy and privacy of personalized social recommendations. In this paper, we study whether "social recommendations", or recommendations that are solely based on a user's social network, can be made without disclosing sensitive links in the social graph. More precisely, we quantify the loss in utility when existing recommendation algorithms are modified to satisfy a strong notion of privacy, called differential privacy. We prove lower bounds on the minimum loss in utility for any recommendation algorithm that is differentially private. We adapt two privacy preserving algorithms from the differential privacy literature to the problem of social recommendations, and analyze their performance in comparison to the lower bounds, both analytically and experimentally. We show that good private social recommendations are feasible only for a small subset of the users in the social network or for a lenient setting of privacy parameters.

User Edit Pencil Streamline Icon: https://streamlinehq.com
Authors (3)
  1. Ashwin Machanavajjhala (52 papers)
  2. Aleksandra Korolova (32 papers)
  3. Atish Das Sarma (16 papers)
Citations (193)

Summary

Analysis of Trade-offs in Personalized Social Recommendations

In the paper "Personalized Social Recommendations - Accurate or Private?" by Ashwin Machanavajjhala, Aleksandra Korolova, and Atish Das Sarma, the authors address a significant issue in the domain of social network-based recommendations: the trade-off between accuracy and privacy. As social networks proliferate, platforms like Facebook and LinkedIn capitalized on users’ social connections to make personalized recommendations of ads, content, products, and contacts. However, leveraging sensitive information stored in these networks raises privacy concerns. The present work formalizes these concerns by elucidating the intrinsic trade-offs between recommendation accuracy and privacy preservation within social networks.

The primary contribution of the paper is establishing a theoretical framework to evaluate the feasibility of making personalized social recommendations without exacerbating privacy risks. The authors interrogate whether recommendations based solely on social network data can preserve differential privacy—a stringent privacy standard that ensures algorithm output does not heavily depend on individual input data. By formalizing a set of mathematical models, the paper quantitatively examines the potential loss in recommendation utility when algorithms are modified to satisfy differential privacy constraints.

Key conclusions derived from this paper highlight the impossibility of designing recommendation algorithms that are both accurate and universally private for all users. Using mathematical derivations and empirical evidence, the authors demonstrate that precise privacy-preserving recommendations are achievable only for a limited segment of users or under lenient privacy parameters. The paper's findings indicate that high-quality private social recommendations are viable primarily when privacy conditions are relaxed, or the network's graph characteristics permit.

The experimental section of the paper bolsters theoretical claims through empirical analysis on real-world social graphs, specifically Wikipedia vote and Twitter connection networks. The paper implements two differential privacy-preserving algorithms—the Laplace and Exponential mechanisms—and juxtaposes their recommendation accuracy against theoretical bounds. Results corroborate theoretical predictions, illustrating substantial losses in recommendation accuracy when privacy constraints are imposed, especially for nodes characterized by low connectivity.

Implications and Future Directions

From a practical perspective, the paper underscores the inherent incompatibility between rigorous privacy and optimal recommendation utility within social networks—the critical insight for researchers and developers in AI-driven social systems. The theoretical analysis provides foundational guidelines for system designers aiming to calibrate their algorithms according to specified levels of privacy risks and accuracy demands.

The paper opens avenues for future research aimed at refining mechanisms that balance these trade-offs more optimally. Possible directions include the exploration of alternative privacy definitions that might offer more flexibility than differential privacy or investigations into the dynamics of temporal graphs, where personalized recommendations adjust as networks evolve. Further paper could also encompass diverse utility functions or partial graph privacy settings, allowing user-specified sensitivity per edge.

Overall, this paper contributes a rigorous, formal exploration of a salient challenge in the field of personalized digital experiences—augmenting the body of knowledge indispensable for advancing privacy-aware recommendations in online social platforms.